rexresearch
rexresearch1
Michael WINDERL, et al.
CycloRotor
https://www.cyclotech.at/rotor/
CycloRotor Aviation Propulsion
CycloRotors provide unmatched manueverability by directing
thrust 360° around their rotational axis, surpassing traditional
one-direction systems. CycloTech’s 5th-generation CycloRotors
powered an entire aircraft in 2021, demonstrating revolutionary
design flexibility for UAVs and UAM vehicles.
360° Thrust Vectoring System
A CycloRotor is a propulsion unit that can change the magnitude
and direction of thrust without the need to tilt any aircraft
structures. It contains several parallel blades rotating around
a central rotation axis. The thrust is generated by a combined
airflow through the rotor originating from each blade and its
periodic change of the pitch angle during one rotation. The
individual pitch angle of the blades is controlled by a certain
pitch mechanism. Each blade is mechanically connected to a
central hub with a conrod. The Cyclogyro-Rotor magnitude of
thrust and its direction can be directly controlled by the
eccentric positioning of this hub. This enables an easy and fast
way of thrust-vector control of the propulsion unit. CycloRotors
enable an immediate thrust generation 360° around the rotation
axis – at constant rotation speed and direction – within
fractions of a second.
Unique Characteristics of CycloRotors
360° THRUST VECTORING ... Easy transition hover to forward
flight ... Superior manoeuvrability and gust control ...
Decoupling of flight path and vehicle attitude ... COMPACT
DESIGN .. Small footprint ... CONFINED AREAS ... CROWDED
AIRSPACE ... ADVERSE WEATHER ... ADDED SAFETY ... AGILITY ...
COMFORT ... CycloRotor Development
The CycloRotor’s innovative propulsion system requires an
ultra-light yet durable design, utilising advanced materials and
manufacturing techniques. CycloTech has created an automated
toolchain combining CFD simulations, multi-body dynamics, and FE
modelling to optimise performance, with rigorous testing in wind
tunnels and flight. In just three years, efficiency has more
than doubled, paving the way for even greater advancements in
this evolving technology.
CycloRotor CR-42*
The current rotor design with a one-sided mounting offers an
easy connection to any aircraft structure via a simple
suspension system. CR42 is a fully electric CycloRotor with an
electric motor and a gearbox as a drivetrain. The core of the
agility is the patented mechanical configuration and control
system.
https://www.youtube.com/watch?v=DGUgpyniLsk
Discover CycloTech #4 | What is the CycloRotor and
why it´s a game changer for aviation
https://www.youtube.com/watch?v=oYOZYsHs7_Q
https://www.youtube.com/watch?v=qKgskY_69XE
https://www.youtube.com/watch?v=YYCNMXIyyk8
US11479356 -- Driver device for an
aircraft [ PDF ]
Inventor(s): WINDERL MICHAEL [DE]; LANSER STEPHAN [AT] +
Applicant(s): CYCLOTECH GMBH [AT] +
The invention relates to a propulsion device for an aircraft,
comprising a blade (2) which can be rotated about an axis of
rotation (51) of the propulsion device along a circular path
(52) and is mounted for pivoting about a blade bearing axis
parallel to the axis of rotation; a pitch mechanism having a
coupling device (31) and a bearing device (33); and an offset
device (4) to which the blade is coupled, the offset device
defining an eccentric bearing axis (41) which is mounted at an
adjustable offset distance. The coupling device is coupled to
the blade at a coupling point (32) which is positioned in such a
way that the plane that comprises the blade bearing axis and the
coupling point and the tangential plane to the circular path
through the blade bearing axis include a certain, non-vanishing
angle (wα) when the offset distance is set to zero. According to
a second aspect the blade bearing axis is shifted toward the
axis of rotation by a certain distance relative to the plane
that extends through the center of mass of the blade and that
extends parallel to the axis of rotation and to the chord of the
blade.
This application is a national stage entry of PCT/EP18/84371,
filed Dec. 11, 2018 and entitled Driver Device for an Aircraft,
which claims priority to German application number
102017011890.6, filed Dec. 14, 2017 and entitled Driver Device
for an Aircraft. Each of these applications is incorporated by
reference in its entirety.
The subject matter of the invention is a propulsion device for
an aircraft. Specifically, the invention relates to a cyclogyro
rotor with reduced loads on the structural elements of the
rotor.
A cyclogyro rotor is based on the principle of thrust generation
with rotating blades. In contrast to classical rotating blades,
such as those which are used in the propulsion device of a
helicopter, the axis of rotation of the blades of a cyclogyro
rotor is oriented parallel to the longitudinal axis of the
blades. The direction of thrust of the entire cyclogyro rotor is
normal to the axis of rotation.
Cyclogyros are aircrafts using cyclogyro rotors as a propulsion
device. Cyclogyros are moreover, like helicopters, so-called
vertical take-off aircrafts (also called VTOL vehicles, for
“Vertical Take-Off and Landing”), i.e. aircrafts which are
capable of starting and landing vertically without requiring a
runway.
In stationary operation all blades of the cyclogyro rotor
ideally are to be oriented best possible to the direction of
flow at any time so as to make a maximum contribution to the
entire thrust with minimally required driving power. The maximum
pitch angle of the blades relative to the direction of flow has
a direct influence on the amount of the thrust generated. Due to
the rotation of the rotor the pitch angle of each blade has to
be changed continuously during a revolution. Each blade of a
cyclogyro rotor thus performs a periodic change of the pitch
angle. This periodic change of the pitch angle is called pitch
movement.
Various pitch mechanisms are known for pitch movement
generation. For instance, each blade may be connected with an
eccentric bearing axis via one or a plurality of conrods. The
resulting pitch movement of a blade is repeated cyclically with
every rotor revolution then. Consequently, the progression of
the pitch angle may be developed into a Fourier series as a
function of the current rotor twist. In this representation the
fundamental harmonic value is typically dominating. It is
superimposed by a mean value, and by higher harmonic values. The
latter constitute undesired vibrations which stress the
individual structural elements of a cyclogyro rotor. Since their
amplitude and phasing cannot be chosen directly, they cannot be
used for optimizing the aerodynamic efficiency, either.
Due to the quick rotation speed of the cyclogyro rotor in
operation, its components are inter alia subject to loads in the
form of forces of inertia and moments of inertia. This applies
in particular for the blades since they are, as a matter of
principle, very far from the axis of rotation, perform complex
movements and form a relatively high share of the total mass of
the cyclogyro rotor.
In the typical implementation of a cyclogyro rotor a part of the
centrifugal force acting on the blade is introduced at one side
of the conrod. The pitch movement forced by the conrod produces,
owing to the mass inertia of the blade, additional forces in the
first-mentioned. The second side of the conrod is connected with
an eccentrically mounted offset disk (or directly with an offset
pin).
Irrespective of the number of blades this results in load on the
eccentric bearing axis in the form of a force acting radially
outward. The time average of this force increases in good
approximation linearly with the maximum pitch angle of the blade
and by the square with the rotational speed.
This load constitutes a great challenge when designing a
cyclogyro rotor. With respect to the installation space
available and the lightweight construction requirements typical
in aviation, it is not possible to design the eccentric bearing
axis arbitrarily stable.
Typically, the position of the eccentric bearing axis is
designed to be adjustable for changing the thrust. A necessary
adjustment unit may be overloaded by the forces occurring. The
consequence of this is that the eccentric bearing point moves
further away from the axis of rotation, which results in a
higher maximum pitch angle and consequently a higher load on the
eccentric bearing axis. The result of this is an instable
behavior which leads regularly to the destruction of the
cyclogyro rotor. Additionally, the load on the eccentric bearing
axis increases the energy consumption in the adjustment unit and
restricts the dynamics thereof.
It is therefore an object of the present invention to reduce the
afore-mentioned loads on the eccentric bearing axis of a
cyclogyro rotor at high speed.
In accordance with a first aspect of the invention a propulsion
device for an aircraft is provided which comprises the following
components: a blade which can be rotated about an axis of
rotation of the propulsion device along a circular path; a pitch
mechanism having a coupling device and a bearing device. The
blade is, by the bearing device, mounted for pivoting about a
blade bearing axis parallel to the axis of rotation of the
propulsion device. The propulsion device in accordance with the
invention further comprises an offset device to which the blade
is coupled by the coupling device at a connection point. The
offset device defines an eccentric bearing axis which is mounted
at an adjustable offset distance parallel to the axis of
rotation of the propulsion device in such a way that the
rotation of the blade about the axis of rotation of the
propulsion device along the circular path effects a pitch
movement of the blade when the offset distance is set to a
nonzero value. The coupling device is coupled to the blade at a
coupling point, wherein the coupling point is positioned in such
a way that the plane that comprises the blade bearing axis and
the coupling point and the tangential plane to the circular path
through the blade bearing axis include a certain, non-vanishing
angle when the offset distance is set to zero.
Due to the fact that the eccentric bearing axis which is defined
by the offset device is mounted eccentrically at an offset
distance parallel to the axis of rotation of the propulsion
device, a pendular movement of the blade about the blade bearing
axis of the blade results when the blade is coupled by the
coupling device. This pendular movement is called pitch
movement.
In accordance with the invention the pitch movement is described
by the angle included by the tangent and/or tangential plane to
the circular path through the blade bearing axis and the chord
of the blade. It is of advantage if the pitch movement takes
place in an angular range of −50° to +50° about the tangent to
the circular path. When this angular range is used, relevant
thrust forces can be generated. In the case of a symmetrical
pitch movement with respect to the tangent to the circular path
the blade is positioned in such a way relative to the blade
bearing point and the coupling point that the chord and the
tangent to the circular path are parallel when the offset
distance is zero. If the chord is, with an offset distance zero,
already positioned in a twisted manner relative to the tangent
to the circular path, the result is a non-vanishing, but
constant pitch angle with an offset distance zero, and
consequently an asymmetrical pitch movement with respect to the
tangent to the circular path with a non-vanishing offset
distance. It may therefore be advantageous that the pitch
movement takes place asymmetrically about the tangent to the
circular path, i.e. in this case the maximum angle of the pitch
movement above the tangent is larger than the maximum angle
below the tangent, or vice versa.
Due to the fact that the certain, non-vanishing angle is set
with an offset distance of zero, the definition of the certain,
non-vanishing angle is unambiguous. In the case of a
non-vanishing offset distance this angle would always change as
a function of the pitch angle.
The chord means the connecting line between the leading edge and
the trailing edge of a blade.
The leading edge and the trailing edge are given by the
intersections of the camber line with the profile contour. The
camber line (also referred to as skeleton line, curvature line
or bending line) is a line consisting of the centers between the
upper side and the lower side of the blade profile perpendicular
to the chord. The camber line is in relation to the asymmetry
between the upper side and the lower side of the blade profile.
In the case of symmetrical profiles the camber line corresponds
to the chord. Preferably, symmetrical profiles are used. The
invention is not restricted to symmetrical profiles, though.
Due to the fact that the coupling point is positioned such that
the plane that comprises the blade bearing axis and the coupling
point and the tangential plane to the circular path through the
blade bearing axis include a certain, non-vanishing angle when
the offset distance is set to zero, higher harmonic values of
the pitch movement of the blade can be influenced and reduced.
It is emphasized in this place that the effect in accordance
with the invention occurs completely independently of the
specific geometry and design of the blade and/or blade profile.
In accordance with the invention, only the angle is important
which is included by the tangential plane to the circular path
through the blade bearing axis and the plane that comprises the
blade bearing axis and the coupling point and/or which is
included by the tangent to the circular path at the blade
bearing point and the connection straight line through the blade
bearing point and the coupling point.
A pitch movement occurs when the offset distance is set to a
nonzero value. In accordance with the invention the coupling
point is thus determined in a configuration in which the
eccentric bearing axis which is defined by the offset device and
the axis of rotation of the propulsion device are matching. For
the operation of the propulsion device it is expedient to set
the offset distance to a non-vanishing value to thus cause the
pitch movement. When the non-vanishing offset distance exists,
thrust is generated in a certain direction.
The pitch movement of the blade is repeated cyclically with
every rotor revolution. The progression of the pitch angle may
therefore be developed into a Fourier series as a function of
the current rotor twist. In this representation the fundamental
harmonic value is typically dominating. It is superimposed by a
mean value, and by the afore-mentioned higher harmonic values.
The coupling point of the coupling device to the blade performs
two rotational movements in the operation of the propulsion
device. The first rotational movement occurs due to the rotation
of the blade about the axis of rotation of the propulsion
device. The second rotational movement is caused by the pitch
mechanism which pivots the blade about the blade bearing axis.
Due to the geometric construction of the pitch mechanism there
result higher harmonic values in the second rotational movement,
the pitch movement, and in continuation due to the superimposing
with the first rotational movement higher harmonic values in the
loads of the blade.
These higher harmonic values constitute unintended vibrations in
the loads which may be transferred via the coupling device to
the offset device and/or the eccentric bearing axis thereof.
This impairs the stability of the offset device and of the
eccentric bearing axis thereof.
Preferably, the coupling point is positioned at the side of the
tangential plane to the circular path which faces the axis of
rotation of the propulsion device.
It is of advantage if the coupling point is positioned to be
shifted from the tangential plane of the circular path in the
direction of the axis of rotation of the propulsion device in
such a way that the certain, non-vanishing angle lies in a range
of between 5° and 15°, preferably in a range of between 8° and
12°, particularly preferred in a range of between 9.5° and
10.5°.
Furthermore, it is of particular advantage if the certain,
non-vanishing angle is set such that the plane that comprises
the blade bearing axis and the coupling point and the plane that
comprises the axis of rotation of the propulsion device and the
connection line from the coupling point to the axis of rotation
include an angle of almost 90° when the offset distance is set
to zero. In this case all the even higher harmonic values of the
pitch movement almost cancel out during the rotation of the
propulsion device about its axis of rotation. Thus, the loads on
the offset device are also minimized by the even higher harmonic
values of the pitch movement.
It is expedient to determine the certain, non-vanishing angle as
a function of the ratio of the two following dimensions: First:
the distance of the blade bearing axis to the coupling point;
second: the distance of the axis of rotation of the propulsion
device to the blade bearing axis; each provided that the offset
distance is set to zero. Preferably, the certain, non-vanishing
angle indicated in radian assumes a value in the range of 75% to
125% of the afore-mentioned ratio of the first dimension to the
second dimension; in a particularly preferred manner the
certain, non-vanishing angle assumes a value in the range of 90%
to 110% of the ratio mentioned.
Furthermore, it is of particular advantage if the certain
non-vanishing angle is set such that the plane that comprises
the blade bearing axis and the coupling point and the plane that
comprises the axis of rotation of the propulsion device and the
connection line from the coupling point to the axis of rotation
include an angle of almost 90° when the offset distance is set
to zero. In this case all the even higher harmonic values of the
pitch movement almost cancel out during the rotation of the
propulsion device about its axis of rotation. Thus, the loads on
the offset device are also minimized by the even higher harmonic
values of the pitch movement.
Preferably, the coupling point of the coupling device to the
blade is positioned outside of the blade profile. This has the
advantage that the blade as such is not impaired by the coupling
of the coupling device. Advantageously the stability of the
blade is thus not impaired adversely.
Preferably, blades are used with a profile which is symmetrical
with respect to the chord. The invention is, however, not
restricted to such symmetrical profiles.
It is of advantage if the blade bearing axis is shifted toward
the axis of rotation of the propulsion device by a certain
distance relative to the plane that extends through the center
of mass of the blade and that extends parallel to both the axis
of rotation and the chord of the blade.
The shifting of the blade bearing axis toward the axis of
rotation by a certain distance relative to the plane that
extends through the center of mass of the blade and that extends
parallel to both the axis of rotation and the chord of the blade
has the advantage that the mean force at the offset device
and/or at the eccentric bearing axis which is defined by the
offset device is minimized. The mean force at the offset device
is the average of the entire force acting on the offset device
in the course of a complete rotor revolution. If the force
acting on the offset device and/or the eccentric bearing axis is
developed into a Fourier series, the mean force is the term of
zeroth order. Thus, the load on the offset device and/or on the
eccentric bearing axis is further reduced. Loads are also
exerted on the offset device and/or eccentric bearing axis due
to torques engaging on the blade. As already explained before,
the blade performs two rotational movements coupled with one
another during the operation of the propulsion device. The first
rotational movement originates from the rotation of the blade
about the axis of rotation of the propulsion device along the
circular path. The second rotational movement corresponds to the
pitch movement of the blade about the blade bearing axis. In
relation to the blade bearing axis two contributions result to
the torque acting on the blade. The first contribution is
related with the rotational movement of the blade about the axis
of rotation of the propulsion device along the circular path.
This rotational movement effects a centrifugal force on the
blade. A corresponding torque is therefore always produced when
the blade is mounted at a distance from its center of gravity.
The second amount is related with the pitch movement of the
blade about its blade bearing axis. The corresponding torque
depends on the mass moment of inertia of the blade, on the one
hand, and on the (angular) acceleration of the blade experienced
during the pitch movement, on the other hand.
Both contributions to the torque mentioned are dependent on the
distance of the blade bearing point and/or the blade bearing
axis from the center of mass. The resulting torque may therefore
be minimized by varying this distance.
The resulting torque produces diverse forces, such as tensile
and/or compressive forces, in the coupling device. These forces
are transferred to the offset device via the coupling device. By
the positioning of the blade bearing point and/or the blade
bearing axis in accordance with the invention it is thus
possible to minimize the mean force at the offset device and/or
the eccentric bearing axis.
Preferably, the blade has a mass distribution which is so
inhomogeneous that it causes the shifting by the certain
distance. A simple implementation of this inhomogeneous mass
distribution consists in increasing the mass density on the
blade upper side facing away from the axis of rotation, e.g. by
applying additional weights or an appropriate coating on the
blade upper side. Thus, the center of mass of the blade is
displaced further outward in the radial direction relative to
the axis of rotation of the rotor. With an otherwise unchanged
blade geometry the effect according to the invention can thus be
produced.
It is of advantage if the blade bearing axis is positioned in a
region which is confined by the plane being perpendicular to the
chord and extending through the center of mass, on the one hand,
and by the plane being perpendicular to the chord and extending
through the leading edge, on the other hand. This makes it
possible to obtain exclusively tensile forces in the coupling
device, which in turn enables a highly simplified construction
thereof.
Preferably, the blade bearing axis extends outside the blade
profile. This has the advantage that the stability of the blade
is not impaired by the bearing device.
It is of advantage if the propulsion device in accordance with
the invention further comprises a disk which designed such that
it separates the blade(s) aerodynamically from the remaining
components of the propulsion device. Such disk is especially
advantageous for the case that the propulsion device is operated
at higher speeds.
Preferably, the propulsion device further comprises a connection
element, wherein the connection element, at the point at which
the blade is mounted for pivoting by the bearing device, is
connected rigidly with the blade, and at the coupling point of
the blade is connected movably with the coupling device. The
connection element comprises in a particularly preferred manner
a lever arm. This enables the rigid connection of the lever arm
with the blade. The connection element is preferably an
independent structural element for coupling the coupling device
to the blade. In a particularly preferred manner the lever arm
is connected with the blade from the outside. The pitch movement
is thus introduced into the blade via the bearing device. The
advantage is that the coupling point of the coupling device may
be chosen outside the blade profile. On the blade itself a place
for mounting and for introduction of the pitch movement is
sufficient. In a particularly preferred manner the blade bearing
point is positioned at the place of the blade having the largest
profile thickness. This has the advantage that the forces
occurring can be distributed better in the blade. The result of
this is also an improved construction and a weight reduction of
the blade and/or of the pitch mechanism and/or of the propulsion
device.
Specifically in the case of a propulsion device comprising a
disk which is designed such that it separates the blade(s)
aerodynamically from the remaining elements of the propulsion
device, a connection element has the further advantage that no
recess for the coupling device at the coupling point has to be
provided in the disk. This is because in this case the coupling
point can be chosen such that it does not get into contact with
the disk.
It is advantageous if the offset device comprises an offset disk
through the center of which the eccentric bearing axis extends,
and which is mounted for rotating about the eccentric bearing
axis, and wherein the connection point on the offset disk is
arranged outside of the center thereof. In the case of a
plurality of blades the offset disk comprises a corresponding
connection point for each blade. The connection points are
distributed evenly over the circumference of the offset disk.
Instead of an offset disk it is also possible to use a so-called
offset pin. In the case of a plurality of blades each blade is
coupled to the same offset pin. The coupling devices of the
individual blades are therefore coupled to the offset pin on top
of each other. Thus, if an offset pin is used, the axial
extension of the propulsion device increases as compared to the
use of an offset disk.
In accordance with a second aspect of the invention a propulsion
device for an aircraft is provided, comprising a blade which can
be rotated about an axis of rotation of the propulsion device
along a circular path; a pitch mechanism having a coupling
device and a bearing device, wherein the blade is mounted by the
bearing device for pivoting about a blade bearing axis parallel
to the axis of rotation of the propulsion device; and an offset
device to which the blade is coupled by the coupling device at a
connection point. The offset device defines an eccentric bearing
axis which is mounted at an adjustable offset distance parallel
to the axis of rotation of the propulsion device, such that the
coupling device couples the blade to the offset device in such a
way that the rotation of the blade about the axis of rotation of
the propulsion device along the circular path effects a pitch
movement of the blade when the offset distance is set to a
nonzero value. The blade bearing axis is shifted toward the axis
of rotation of the propulsion device by a certain distance
relative to the plane that extends through the center of mass of
the blade and that extends parallel to both the axis of rotation
and the chord of the blade.
The shifting of the blade bearing axis toward the axis of
rotation of the propulsion device by a certain distance relative
to the plane that extends through the center of mass of the
blade and that extends parallel to both the axis of rotation and
the chord of the blade has the advantage that the mean force at
the offset device and the eccentric bearing axis is minimized
Thus, the load of the offset device and of the eccentric bearing
axis is further reduced. A detailed description of the loads
exerted on the offset device due to forces engaging on the blade
(the centrifugal force, on the one hand, inertia forces, on the
other hand) has already been given further above in connection
with an advantageous embodiment of the first aspect of the
invention, which is referred to with respect to the second
aspect of the invention. The two contributions mentioned are
dependent on the distance of the blade bearing point and/or the
blade bearing axis of the blade from the center of mass. By
varying this distance it is thus possible to minimize the
resulting force. This force is transferred to the offset device
via the coupling device. Due to the positioning of the blade
bearing point and/or the blade bearing axis at a particular
distance from the center of mass it is thus possible to minimize
the mean force at the offset device and/or the eccentric bearing
axis.
Preferably, the blade has a mass distribution which is so
inhomogeneous that it causes the shifting by the certain
distance. A simple implementation of this inhomogeneous mass
distribution consists in increasing the mass density on the
blade upper side facing away from the axis of rotation, e.g. by
applying additional weights or an appropriate coating on the
blade upper side. Thus, the center of mass of the blade is
displaced further outward in the radial direction relative to
the axis of rotation of the propulsion device. This is
equivalent to the blade bearing axis relative to the center of
mass being closer in the radial direction to the axis of
rotation of the propulsion device than the center of mass. With
an otherwise unchanged blade geometry the effect according to
the invention can thus be produced.
It is of advantage if the blade bearing axis is positioned in a
region which is confined by the plane being perpendicular to the
chord and extending through the center of mass, on the one hand,
and by the plane being perpendicular to the chord and extending
through the leading edge, on the other hand. This makes it
possible to obtain exclusively tensile forces in the coupling
device, which in turn enables a highly simplified construction
thereof.
Preferably, the blade bearing axis extends outside the blade
profile. Thus, the stability of the blade is not impaired by the
bearing device.
Preferably, the coupling device comprises a conrod which
connects the offset device with the coupling point of the blade.
A conrod constitutes an implementation of the coupling device in
accordance with the invention which is particularly suited in
constructional respect. Preferably, an end piece of the conrod
is coupled rotatably to the offset device.
It is of particular advantage to combine in one propulsion
device advantageous embodiments of the first aspect of the
invention with advantageous embodiments of the second aspect of
the invention.
Preferably, the propulsion device in accordance with the
invention comprises further blades, in a particularly preferred
manner two, three, four, five, or six blades, with a
respectively associated pitch mechanism, wherein all blades and
pitch mechanisms of the propulsion device are of similar type,
and wherein the blades of the propulsion device are evenly
distributed about the axis of rotation of the propulsion device
along the circular path. The propulsion device for an aircraft
in accordance with the first or second aspect of the invention
thus comprises preferably a plurality of blades which are
distributed evenly about an axis of rotation of the propulsion
device along a circular path, each of them being rotatable about
the axis of rotation of the propulsion device along the circular
path. Moreover, the preferred propulsion device comprises a
plurality of pitch mechanisms with a respective coupling device
and bearing device. Each blade is mounted by the corresponding
bearing device for pivoting about a corresponding blade bearing
axis parallel to the axis of rotation of the propulsion device.
Furthermore, the preferred propulsion device comprises an offset
device to which each blade is coupled by the corresponding
coupling device at a corresponding connection point. The offset
device defines an eccentric bearing axis mounted at an
adjustable offset distance parallel to the axis of rotation of
the propulsion device, so that the coupling devices couple the
associated blades to the offset device in such a way that the
rotation of the blades about the axis of rotation of the
propulsion device along the circular path effects a pitch
movement of the blades when the offset distance is set to a
nonzero value. In accordance with the invention either each
coupling device is coupled to the corresponding blade at a
respective coupling point, wherein each of the coupling points
is positioned such that the plane that comprises the
corresponding blade bearing axis and the corresponding coupling
point and the corresponding tangential plane to the circular
path through the associated blade bearing axis include a
certain, non-vanishing angle when the offset distance is set to
zero. And/or the blade bearing axis of each blade is shifted
toward the axis of rotation of the propulsion device by a
certain distance relative to the plane that extends through the
respective center of mass of the blade and that extends parallel
to both the axis of rotation of the propulsion device and the
chord of the respective blade.
In the case of a plurality of blades an even distribution about
the axis of rotation of the propulsion device along the circular
path means in connection with the invention that the blade
bearing points and/or blade bearing axes of the blades are
positioned approximately on the circular path and the blade
bearing points and/or blade bearing axes of two adjacent blades
each have almost the same distance from each other.
The use of a plurality of blades has the advantage that a higher
thrust force of the propulsion device can be generated.
Moreover, the even distribution of the blades along the circular
path enables an at least partial cancelling of the forces acting
on the offset device and/or the eccentric bearing axis. The
advantageous embodiments of the first and/or second aspects of
the invention may be applied correspondingly to the propulsion
device with a plurality of blades. The resulting advantages
correspond to those described in connection with the first
and/or second aspects of the invention.
It is a particular advantage if the propulsion device comprises
a total of five blades. Calculations have shown that propulsion
devices in accordance with the invention which have a different
number of blades react differently to harmonic values in the
forces transferred by the corresponding coupling devices to the
offset device and/or the eccentric bearing axis. Higher harmonic
values occur, which load the offset device in the end. In the
case of a total of five blades the higher harmonic values are
strongly suppressed. This suppression is specifically
intensified in a particular manner by the positioning of the
coupling point of the coupling device at the blade in accordance
with the invention, and/or by the positioning of the blade
bearing axis in accordance with the invention.
Preferably the propulsion device is a cyclogyro rotor. The
invention is not restricted to the use in cyclogyros, though. It
is also possible to use the propulsion device in accordance with
the invention e.g. in so-called Micro Air Vehicles (MAVs), i.e.
unmanned drones of small size, or in manned aerial vehicles.
Moreover, it is also possible to use the propulsion devices in
accordance with the invention in connection with fluids other
than air, such as, for instance, liquids.
In the following preferred embodiments of the present invention
will be described by means of the following Figures. There show:
FIG. 1: a perspective view of an aircraft with a plurality of
propulsion devices in accordance with the invention;
FIG. 2: a perspective view of a propulsion device in accordance
with the invention;
FIG. 3: a profile view of a pitch mechanism coupled to an offset
device in accordance with the first embodiment of the invention
for defining the certain, non-vanishing angle;
FIG. 4: a profile view of a blade coupled to an offset device
with a coupling device in accordance with the first embodiment
of the invention;
FIG. 5a: a schematic diagram of the mode of functioning of the
coupling of the coupling device at a coupling point of the blade
in accordance with the invention;
FIG. 5b: a profile view of a blade coupled to an offset device
with a coupling device, with a coupling point selected in an
optimum position for reducing the loads on the offset device
and/or eccentric bearing axis;
FIG. 5c: a propulsion device in accordance with the invention in
a profile view at a rotor with four blades, wherein the coupling
point is positioned optimally with all blades;
FIG. 6: a parameter study concerning the influence of the
position of the coupling point of the blade on the loads on the
offset device;
FIG. 7a: a first constructive variant of the first embodiment
using a connection element for implementing the positioning of
the coupling point in accordance with the invention;
FIG. 7b: a second constructive variant of the first embodiment
using a connection to the blade for implementing the positioning
of the coupling point in accordance with the invention;
FIG. 8: a profile view of a blade coupled to an offset device
with a coupling device in accordance with the second aspect of
the invention;
FIG. 9: a parameter study concerning the influence of the
distance of the blade bearing point from the center of mass on
the forces at the offset device;
FIG. 10: a Table indicating the loads on the offset device due
to harmonic vibrations as a function of the number of blades.
FIG. 1 shows a perspective view of an aircraft 100 with a
plurality of propulsion devices 1 in accordance with the
invention. The illustrated aircraft 100 comprises four
propulsion devices 1. The illustrated propulsion devices 1 are
cyclogyro rotors. The aircraft 100 illustrated in FIG. 1 may
therefore also be referred to as cyclogyro. The propulsion
devices will be described in detail in connection with the
following Figures. Each of these propulsion devices 1 is mounted
for rotating about an axis of rotation. Each propulsion device 1
comprises a plurality of blades 2 which are mounted for pivoting
about their longitudinal axes. Thus, it is possible to vary the
pitch angle of the blades 2 during the rotation of the
propulsion device 1. By controlling the speed of rotation of the
propulsion devices 1 and the control of the pitch angles of the
blades 2 it is possible to vary the amount and the direction of
the thrust generated. The aircraft 100 comprises at its front
side two major propulsion devices 1. At its rear side the
aircraft 100 comprises to minor propulsion devices 1.
The illustrated aircraft 100 may, for instance, be an air
vehicle, a manned aerial vehicle, a drone, or so-called Micro
Air Vehicles (MAVs).
FIG. 2 illustrates a propulsion device 1 in accordance with the
invention in a perspective view. This propulsion device 1
comprises five blades 2, respectively associated pitch
mechanisms 3, an offset device 4 and a disk 11. The blades 2 are
mounted for rotating about an axis of rotation of the propulsion
device 1. The offset device 4 defines an eccentric bearing axis
which is mounted eccentrically with respect to the axis of
rotation of the propulsion device 1. In FIG. 2 the offset device
is illustrated as an offset disk. The offset disc is mounted for
rotating freely about the eccentric bearing axis. The eccentric
bearing of the offset disk 4 implies an eccentric bearing of the
pitch mechanism 3. The eccentric bearing of the pitch mechanism
3 effects the changing of the position of the blades 2 during a
revolution about the axis of rotation of the propulsion device
1. Each of the illustrated pitch mechanisms 3 comprises a
coupling device 31 and a bearing device 33. Each blade 2 is
mounted for pivoting by the corresponding bearing device 33. The
blade 2 is mounted about an axis parallel to the axis of
rotation of the propulsion device 1. This axis is the blade
bearing axis 33. The bearing of the blade 2 may, for instance,
take place by a bearing means such as one or a plurality of
pins, a so-called main pin. The bearing means is preferably a
part of the bearing device 33. The blade bearing axis 33 may
extend through the center of mass of the blade 2. Preferably,
however, a bearing of the blade 2 takes place at a distance from
the center of mass. The coupling device 31 of the pitch
mechanism 3 couples the blade 2 to the offset device 4 in such a
way that the blade 2 performs a pitch movement when it rotates
about the axis of rotation of the propulsion device 1, and
provided that the eccentric bearing axis does not coincide with
the axis of rotation of the propulsion device 1. One end piece
of the coupling device 31 is coupled to the offset device 4 at a
connection point. The other end piece of the coupling device 31
is coupled to the blade 2.
The offset disk 4 is mounted for rotating freely. The axis of
rotation of the offset disk 4 extends preferably at a certain
offset distance parallel to the axis of rotation of the
propulsion device 1. This produces the eccentric bearing of the
offset disk 4 relative to the axis of rotation of the propulsion
device 1. This offset distance may be adjustable. An offset
device 4 with adjustable eccentricity may, for instance, be
implemented by a planetary gear. A pitch movement of the blades
2 results when the offset distance is nonzero.
The coupling of the coupling device 31 to the blade 2 takes
place at a coupling point 32. For this purpose the coupling
device 31 may comprise a coupling means. In the propulsion
device 1 illustrated in FIG. 2 the coupling device 31 comprises
a conrod as well as a pin, the so-called pitch link pin. The pin
is a constructive design of the coupling means in accordance
with the invention. In the embodiment illustrated in FIG. 2 the
coupling of the coupling device 31 to the blade 2 at the
coupling point 32 is not performed by a direct connection with
the blade 2, but by using a connection element 61. One end of
the connection element 61 is rigidly connected with the blade 2.
This connection takes place preferably at the blade bearing
point. The other end of the connection element 61 is coupled to
the coupling device/conrod 31. In this case the pitch movement
is, via the coupling element by means of the conrod 31,
introduced indirectly via the connection element 61 into the
blade 2.
A direct coupling of the coupling device 31 to the blade 2 is,
however, also possible in accordance with the invention.
Due to the fact that the coupling device 31 of the pitch
mechanism is mounted eccentrically with respect to the axis of
rotation of the propulsion device 1, the coupling point 32 moves
relative to the blade bearing axis 33 on a circular arc when the
blade 2 rotates about the axis of rotation of the propulsion
device 1. This produces the pitch movement of the blade 2. It is
thus a pendular movement of the blade 2 about the blade bearing
axis 33.
Furthermore, the propulsion device 1 illustrated in FIG. 2
comprises a disk 11. This disk 11 is designed such that it
separates the blades 2 aerodynamically from the remaining
components of the propulsion device 1. Such a disk 11 is of
particular advantage for the case that the propulsion device 1
is operated at higher speeds.
In an embodiment according to the invention in accordance with
the first aspect of the invention the coupling device 31 is
coupled to the blade 2 at a coupling point 32 which is
positioned such that the plane that comprises the blade bearing
axis 33 and the coupling point 32 and the tangential plane to
the circular path through the blade bearing axis 33 include a
certain, non-vanishing angle when the offset distance is set to
zero. The blades 2 illustrated in FIG. 2 have a symmetric
profile. A detailed description of the coupling device 31 in
accordance with the invention will be found in particular in
connection with FIG. 3.
The propulsion device 1 generates thrust due to two rotational
movements coupled with one another. The first rotational
movement is the rotation of the blades 2 about the axis of
rotation of the propulsion device 1. This first rotational
movement results in a movement of the blades 2 about the axis of
rotation of the propulsion device along a circular path.
Specifically, the blade bearing axes 33 and/or blade bearing
points move along the circular path. Each blade bearing axis 33
is parallel to the longitudinal axis of the blades 2. The
longitudinal axis of the blades 2 is parallel to the axis of
rotation of the propulsion device 1. Thus, the longitudinal axis
of the blades 2 is also parallel to the blade bearing axis 33.
The direction of thrust of the propulsion device 1 is normal to
the axis of rotation of the propulsion device 1. For an optimum
thrust generation all blades 2 are to be oriented best possible
to the direction of flow at any point of time. This ensures that
each blade 2 makes a maximum contribution to the total thrust.
During the rotation of the propulsion device 1 about its axis of
rotation the pitch of each blade 2 is changed continuously due
to the afore-described pitch mechanism. Each blade 2 performs a
periodic change of the pitch angle and/or a pendular movement.
This is the pitch movement. In this process the coupling point
32 moves on a circular arc about the blade bearing axis 33. This
is the second rotational movement.
The amount and the direction of the thrust generated depend on
the pitch of the blades 2. Therefore, the distance of the
eccentric bearing of the offset device 4 and/or of the pitch
mechanism 3 from the axis of rotation of the propulsion device 1
influences the amount of the thrust generated. By the shifting
of the eccentric bearing of the offset device 4 in the
circumferential direction, i.e. with a constant distance from
the axis of rotation of the propulsion device 1, the direction
of the thrust generated is changed.
Although in FIG. 2 pitch mechanisms 3 are illustrated at one
side of the propulsion device 1 only, it may be expedient for
reasons of stability to apply corresponding pitch mechanisms
also at the opposite side of the propulsion device.
FIG. 3 shows a part of a propulsion device in accordance with
the first aspect of the invention in a profile view. FIG. 3
illustrates a pitch mechanism and an offset device 4. The pitch
mechanism comprises a coupling device 31 and a bearing device
33. Moreover, a part of the circular path 52 is indicated, along
which the blade bearing axis 33 moves. Also illustrated is the
tangent 54 to said circular path. The first aspect of the
invention manages completely without the specific geometry of a
blade. Therefore, no specific blade profile is drawn in FIG. 3.
In accordance with the invention it is only the positioning of
the coupling point 32 relative to the tangent 54 that is
important. More specifically, the angle wα included by the
tangent 54 and the connection straight line through the blade
bearing point 33 and the coupling point 32 is crucial in
accordance with the invention. The angle wα is determined in the
configuration of the offset device in which no eccentricity
exists, i.e. when the offset distance is set to zero, as
illustrated in FIG. 3. This is equivalent with the axis of
rotation 51 of the propulsion device coinciding with the
eccentric bearing axis 41. The effect in accordance with the
invention, i.e. the reduction of loads at the offset device 4
and/or at the eccentric bearing axis 41, occurs when the angle
wα assumes a non-vanishing value. This will be shown below in
connection with FIG. 6. Instead of the angle wα it may be
expedient to consider the angle ρ which is included by the
connection line of blade bearing axis 33 to coupling point 32,
on the one hand, and by the connection line from the coupling
point 32 to the axis of rotation 51, on the other hand.
It has to be noted that a so-called offset disk is shown in FIG.
3. The coupling device 31 is coupled at a connection point 42 of
the offset disk which has a certain distance from the bearing
axis 41 of the offset disk. Due to the fact that the offset disk
is mounted for rotating, however, this does not yet result in a
pitch movement. Only when the bearing axis 41 of the offset disk
4 is shifted relative to the axis of rotation 51 of the
propulsion device radially by an offset distance does the pitch
movement occur.
Finally, it has to be noted that FIG. 3 illustrates the part of
the propulsion device in accordance with the invention as a
cross-section in profile. When considering the extension of the
propulsion device in the third, non-illustrated, dimension,
planes will possibly have to be considered instead of straight
lines when defining wα. In a general form there applies: The
coupling point 32 is positioned such that the plane that
comprises the blade bearing axis 33 and the coupling point 32
and the tangential plane 54 to the circular path 52 through the
blade bearing axis 33 include a certain, non-vanishing angle wα
when the offset distance is set to zero.
If, in the following, two-dimensional dimensions are referred to
for simplifying matters, this implies that they are possibly
mentioned representatively for corresponding three-dimensional
dimensions.
FIG. 4 illustrates a part of a propulsion device in accordance
with the first aspect of the invention in a profile view. FIG. 4
shows a blade 2, a pitch mechanism and an offset device 4. The
pitch mechanism comprises a coupling device 31 and a bearing
device 33. To simplify illustration, a blade 2 with a
symmetrical profile will be considered here. The blade 2 is
mounted for pivoting about the blade bearing axis 33 by means of
the bearing device 33. The coupling device 31 is coupled to the
blade 2 at the coupling point 32. The coupling point 32 is
positioned such that the plane that comprises the blade bearing
axis 33 and the coupling point 32 and the tangential plane 54 to
the circular path through the blade bearing axis 33 include a
certain, non-vanishing angle wα. The angle wα is determined in
the configuration of the offset device in which no eccentricity
exists, i.e. when the offset distance 43 is set to zero. The
chord 230 is defined as the connection between the leading edge
210 and the trailing edge 220 of the blade. The definition of wα
was already described above in connection with FIG. 3. The
illustrated coupling device 31 is coupled with one end to the
blade directly at the coupling point 32. That means that the
coupling device 31 is, for instance, by using a coupling means
such as a pin, directly connected with the blade 2 for moving.
An indirect coupling of the coupling device 31 to the blade 2 is
also possible; this will be described further below in
connection with FIG. 7a.
The blade 2 may rotate along the axis of rotation 51 of the
propulsion device about a circular path 52. The direction of
rotation is indicated by the arrow 53; it is thus assumed that
the blade rotates clockwise. The illustrated offset device 4 is
an offset disk. It is mounted for rotating about an eccentric
bearing axis 41. Preferably, the offset device 4 may rotate
freely about this eccentric bearing axis 41. The eccentric
bearing axis 41 of the offset device 4 is shifted parallel by a
distance 43 relative to the axis of rotation 51 of the
propulsion device. Due to this lateral displacement 43 the
offset device 4 is mounted eccentrically relative to the axis of
rotation 51. At the coupling point 42 of the offset disk 4 the
coupling device 41 is coupled to the offset disk 4.
The chord 230 of the blade 2 illustrated in FIG. 4 is inclined
by the angle α relative to the tangent 54 at the blade bearing
point 33 to the circular path 52 which is described by the blade
bearing point 33 during the rotation about the axis of rotation
51. This is the so-called pitch angle. The pitch movement occurs
due to the eccentric bearing of the eccentric bearing axis 41 of
the offset device 4 relative to the axis of rotation 51 of the
propulsion device. FIG. 4 shows that, due to the eccentric
bearing of the offset device 4, also the coupling point 42 of
the coupling device 31 of the pitch mechanism passes along an
eccentric path relative to the axis of rotation 51. The
consequence of this is that the radial distance of the coupling
point 42 changes during the rotation of the blade 2 relative to
the circular path 52 on which the blade bearing axis 33 moves
along. Thus, also the position of the coupling point 32 changes
relative to this circular path 52. The effect of this is that
the blade 2 performs a pitch movement α. In other words, the
blade 2 lifts and lowers relative to the circular path 52. In
even other words, the blade 2 performs a pendular movement about
the circular path 52 while moving along the circular path 52.
This pendular movement and/or the lifting and lowering of the
blade 2 is indicated by the angle α. This is the so-called pitch
angle. The angle α indicates the angle included by the tangent
54 at the blade bearing point 33 to the circular path 52 and the
chord 230. It is of advantage to choose the maximum amplitude of
the pitch movement such that the angle α can vary in a range of
between −50° and +50°. Such angles are of advantage specifically
for cyclogyro rotors so as to generate a relevant thrust.
The coupling point 32 moves during the pitch movement α on a
circular arc about the blade bearing axis 33. This movement
results in that the blade 2, during its movement along the
circular path 52, performs a pendular movement about the axis of
rotation 51 which comprises, in addition to a fundamental
harmonic vibration, also higher harmonic values. These higher
harmonic values are pronounced stronger the larger the pitch
angle α becomes. In the case of the afore-mentioned angle range
of −50° to +50° the higher harmonic values can no longer be
neglected.
The positioning of the coupling point 32 in accordance with the
invention provides a possibility of influencing the higher
harmonic values mentioned.
FIG. 5a illustrates schematically how the positioning of the
coupling point 32 in accordance with the invention leads to the
influencing and reducing of the higher harmonic values of the
pitch movement. In FIG. 5a the pitch mechanism is illustrated
for the case that the axis of rotation 51 of the propulsion
device matches with the eccentric bearing axis 41 of the offset
device. In other words, the eccentricity of the eccentric
bearing axis 41 relative to the axis of rotation is zero. In
even other words, no pitch movement occurs in the illustrated
case. In exactly this configuration the angle wα is defined and
determined in accordance with the invention. A pitch movement
introduced into the blade 2 by the coupling device 31 by
coupling at the coupling point 32 only occurs when the eccentric
bearing axis 41 of the offset device is again displaced by a
certain distance from the axis of rotation 51 of the propulsion
device. In this case the coupling point 32 moves along a
circular arc 300 about the blade bearing axis 33.
In the case of a suitable choice of the angle wα the angle ρ
which lies between the connection of the blade bearing point 33
with the coupling point 32, on the one hand, and the connection
of the coupling point 32 with the axis of rotation 51 of the
propulsion device and/or the eccentric bearing axis 41 of the
offset device, on the other hand, is a right angle.
If the angle wα is chosen such that the angle ρ which is
included by the connection line between the blade bearing point
33 and the coupling point 32, on the one hand, and the
connection line between the coupling point 32 and the axis of
rotation 51 of the propulsion device, on the other hand, is 90°,
it results that the geometric deviation of the circular arc 300
from the tangent to the circular arc 300 at the coupling point
32 is distributed symmetrically. This means that, by the choice
of a right angle, as described before, a symmetrization of the
movement of the coupling point 32 relative to the tangent to the
circular arc 300 is produced. This is equivalent with the fact
that no even higher harmonic values exist in the pitch movement.
All even higher harmonic values of the pitch movement can
therefore be minimized by means of the angle wα.
The higher harmonic values of the pitch movement lead to forces
in the coupling device 31. The coupling device 31 transfers
these forces to the offset device and/or the eccentric bearing
axis 41. This causes loads at the offset device. Due to the fact
that the even higher harmonic values of the pitch movement are
minimized by a positioning of the coupling point 32 in
accordance with the invention, the corresponding loads at the
offset device and/or at the eccentric bearing axis 41 are also
minimized.
Although the optimum position of the coupling point 32 exists
when the angle ρ which is included by the connection line
between the blade bearing point 33 and the coupling point 32, on
the one hand, and the connection line between the coupling point
32 and the axis of rotation 51 of the propulsion device, on the
other hand, is 90°, a reduction of the loads at the offset
device also occurs with other angles wα which do not necessarily
result in a right angle ρ.
Corresponding model calculations will be described with respect
to FIG. 6.
FIG. 5b illustrates a section from a propulsion device in
accordance with the invention in profile, wherein the coupling
point 32 is positioned optimally. This means that in the
illustrated configuration the even higher harmonic values of the
pitch movement are reduced best possible. FIG. 5b illustrates
the general case with an asymmetrical blade profile. The angle ρ
which is included by the connection line between the blade
bearing point 33 and the coupling point 32, on the one hand, and
the connection line between the coupling point 32 and the axis
of rotation 51 of the propulsion device, on the other hand, is
90°. As described before in connection with FIG. 5a, the
positioning of the coupling point 32 and hence the setting of
the angle ρ takes place under the premise of vanishing
eccentricity, i.e. the eccentric bearing axis 41 of the offset
device 4 coincides with the axis of rotation 51 of the
propulsion device.
Due to the finite dimensions of the offset device 4 the
connection point 42 of the coupling device 31 to the offset
device 41 does not coincide identically with the eccentric
bearing axis 41 of the offset device 4. The radius r of the
circular path 52 along which the blade 2 moves during the
rotation about the axis of rotation 51 is regularly distinctly
larger than the distance of the connection point 42 from the
eccentric bearing axis 41. Therefore, it is also possible to
optimize the angle ρ which is included by the connection line
between the blade bearing point 33 and the coupling point 32, on
the one hand, and the connection line between the coupling point
32 and the connection point 42 of the offset device 4, on the
other hand, i.e. to set it to almost 90°, without suffering any
loss in the reduction of loads at the offset device 4.
FIG. 5c shows a propulsion device in accordance with the
invention in a profile view at a rotor with four blades 2. Each
of the blades 2 may move about the axis of rotation 51 of the
propulsion device on a circular path 52 with the radius r. Each
blade 2 is coupled to the offset device 4 at a coupling point
42. In the illustrated example the blades 2 rotate clockwise, as
indicated by the arrow 53. In FIG. 5c the propulsion device is
shown with non-vanishing eccentricity, i.e. the eccentric
bearing axis 41 is shifted from the axis of rotation 51 by a
non-vanishing offset distance 43. As explained already further
above, this results in a pitch movement α of the blades 2. The
coupling point 32 of each blade 2 has been positioned optimally.
This means, as described especially with respect to FIGS. 3, 5a
and 5b, the angle included by the connection straight line
through the blade bearing point 33 and the coupling point 32 as
well as by the coupling device 31 was set to almost 90. This
angle was determined in the configuration of the offset device 4
in which no eccentricity exists, i.e. when the offset distance
was set to zero.
Although the specific geometry, bearing, or the specific profile
of the blades 2 is not important for achieving the effect in
accordance with the invention—as already explained
above—(crucial is the relative arrangement of blade bearing
point 33, coupling point 32 and coupling device 31 with
vanishing offset distance 43), it is assumed in the embodiment
illustrated in FIG. 5c that the chords of the blades 2, with an
offset distance zero, did not show any twist relative to the
tangent 54 to the circular path 52. With this initial
configuration the occurrence of the minimization of the even
harmonic values of the pitch movement can be illustrated
particularly well. This is because with the illustrated rotor
with four blades 2 with optimal positioning of the coupling
point 32 the minimization of the even harmonic values of the
pitch movement manifests itself such that the opposing blades 2
each have the negative pitch angle α and/or −α of the other one.
In the illustrated position the uppermost blade is at its
maximum positive deflection a, the lowermost blade at its
maximum negative deflection −α. The two other blades are in a
middle position with a deflection of zero degrees.
For the sake of completeness it is mentioned that, due to the
fact that the even higher harmonic values, under real conditions
of operation, are only minimized and do not disappear
completely, the opposing blade only comprises approximately the
negative deflection value of the respectively other one.
FIG. 6 shows a graph 7 indicating the peak-to-peak value of the
load at the offset device, Avib,hub, normalized to the
peak-to-peak value of the loads at the offset device for wα=0,
Avib,hub,0 a function of the angle wα. The peak-to-peak value
describes the difference between the minimum and maximum values
of the load at the offset device and is thus a direct measure
for the vibration of the load at the offset device. The ordinate
71 indicates the function value Avib,hub/Avib,hub,0, the
abscissa 72 the angle wα measured in degrees.
The loads at the offset device and/or at the eccentric bearing
axis as a function of the value wα were calculated by using a
further calculation of all forces and moments and an additional
consideration of aerodynamic loads. The reduction of the loads
at the offset device can be recognized clearly. Specifically, it
results from the progression of the graph 7 that a reduction of
the loads at the offset device occurs as soon as the coupling
point is positioned in accordance with the invention. In
operation, the angle between a coupling device and the
connection line between the coupling point and the blade bearing
point must be sufficiently acute at any point of time.
Otherwise, self-retention would occur and the function of the
pitch mechanism would no longer be given. Experience has shown
that, with respect to a maximum pitch angle of 50°, the twist wα
is restricted to maximally 20°. This means that an improvement
compared to the coupling of the coupling device at the tangent
to the circular path (considered for the case that no
eccentricity exists) always occurs under realistic conditions of
use in accordance with the invention.
FIG. 6 illustrates that the minimum of the load at the offset
device occurs at an angle wα of approximately 10°. Taking into
account the geometry underlying the model calculation, this
corresponds actually approximately to a right angle between the
connection line of blade bearing point to coupling point, on the
one hand, and the connection line of coupling point to the axis
of rotation of the propulsion device, on the other hand.
FIGS. 7a and 7b illustrate two variants in accordance with the
invention for coupling the coupling device 31 to the blade 2. In
both FIGS. 7a and 7b symmetrical blade profiles are shown. It is
assumed that the offset distance is set to zero.
FIG. 7a illustrates an indirect coupling of the coupling device
31 to the blade 2. This means that the coupling point 32 is not
positioned directly at the blade 2. The illustrated coupling
point 32 is positioned outside of the blade profile. Coupling
takes place via a connection element 61. The connection element
61 may be a lever arm. The connection element is connected with
one end rigidly to the blade 2. It is illustrated that the
connection element 61 is connected with the blade 2 with the aid
of the bearing device 33, preferably with a bearing means such
as a pin, the so-called main pin. The other end of the
connection element 61 is movably connected with the coupling
device 31 at the coupling point 32. The coupling point 32 is
positioned away from the tangent 54 by an angle wα.
Due to the use of the connection element 61 as a separate
structural element for coupling the coupling device 31 at the
blade 2 only one bearing means, such as for instance a main pin,
is required. This means that the stability of the blade 2 is
impaired by the bearing device 33 at one place only, a second
load such as for fastening the coupling device 31 directly at
the blade 2 by an appropriate coupling means, such as for
instance a further pin, is thus omitted. Due to the fact that
the connection element 61 is connected rigidly at the outside
with the bearing device 33 or with the bearing means and hence
with the blade 2, the pitch movement is introduced into the
blade 2 via a moment in the bearing device 33 and/or in the
bearing means.
The variant shown in FIG. 7a yields several advantages. First,
the optimum positioning of the coupling point 32 of the coupling
device 31 at the blade 2 can be implemented in a particularly
simple manner by the connection means 61. The angle can simply
be adjusted by twisting the connection element 61 about the
blade bearing axis 33 such that the angle ρ which is included by
the connection element 61 and the coupling device/conrod 31 is
approximately 90°. As described with respect to FIGS. 5a and 5b,
an almost optimum position of the coupling point 32 is thus
determined.
Furthermore, the total weight of the pitch mechanism together
with the connection means 61 is lower than with a conventional
direct coupling of the coupling device 31 to the blade 2 since
the additional coupling means, such as an additional pin, for
the introduction of forces is omitted. Moreover, the
introduction of forces for the pitch movement takes place via
the bearing device 33 and/or via the bearing means and hence
regularly at the thickest place of the blade 2. Thus, the forces
occurring can be better distributed in the blade 2. This in turn
enables an improved construction and a further weight reduction
of the propulsion device.
Finally, a further advantage results with propulsion devices
providing a disk for the aerodynamic separation of the blades
from the rest of the components of the propulsion device, such
as it is for instance illustrated in FIG. 2 (designated with
reference number 11 there). The coupling of the coupling device
31 to the blade 2 with the aid of a connection element 61 avoids
the necessity of providing an additional recess in the disk for
the connection of the coupling device 31 at the blade 2. Thus, a
simpler construction of the disk is enabled. Moreover, the
aerodynamics of the propulsion device is improved.
FIG. 7b shows a further variant of a connection element 62 for
the coupling of the coupling device 31 at a coupling point 32 to
the blade 2. The coupling point 32 is spaced apart from the
tangent 54 by the angle wα. The coupling point 32 is positioned
outside of the blade profile. The connection element 62 is
fastened at the lower side of the blade at a position far from
the bearing device 33. One end of the coupling device 33 is
mounted for moving at the coupling point 32 of the connection
element.
FIG. 8 shows a blade 2, a pitch mechanism and an offset device 4
of a propulsion device according to the second aspect of the
invention. The profile of the blade 2 illustrated in FIG. 8 is
asymmetrical. The part of a propulsion device in accordance with
the invention illustrated in FIG. 8 differs from the
corresponding part of the propulsion device illustrated in FIG.
4 in that the blade bearing axis 33 is arranged at a certain
distance w from the center of mass 250 of the blade 2. More
specifically: The blade bearing axis 33 is, relative to the
plane 260 extending through the center of mass 250 of the blade
and parallel to both the axis of rotation 51 and the chord 230
of the blade, shifted by the distance w toward the axis of
rotation 51 of the propulsion device. In FIG. 8 the propulsion
device is shown with an eccentric bearing axis 41 which is
shifted from the axis of rotation 51 by an offset distance 43.
The chord 230 is defined as the connection line between the
leading edge 210 and the trailing edge 220 of the blade 2. The
leading edge 210 and the trailing edge 220 are given by the
intersections of the camber line 240 with the profile contour.
The camber line 240 is in turn defined as the line consisting of
the centers between the upper side 241 and the lower side 242 of
the blade profile perpendicular to the chord 230.
The generation of the pitch movement α by means of the pitch
mechanism which comprises a coupling device 31 and a bearing
device 33 takes place as described in connection with FIG. 4.
The blade bearing axis 33 rotates along the circular path 52 at
a distance r from the axis of rotation 51 of the propulsion
device. The repeated description of the movement of the coupling
point 32 of the coupling device 31 at the blade 2 and of the
coupling point 42 of the coupling device 31 at the offset device
4 during the rotation of the propulsion device in the direction
of the arrow 53 is therefore spared. Everything that was said
before in connection with the pitch mechanism is also true for
the embodiment according to the second aspect of the invention
illustrated in FIG. 8.
In FIG. 8 the blade bearing axis 33 is shifted toward the axis
of rotation 51 by a distance w from a straight line (and/or from
the corresponding plane 260, if the extension of the propulsion
device in the third dimension is taken into account) which
extends through the center of mass 250 of the blade and parallel
to the chord 230 of the blade. It is to be understood that the
relevant dimensions were here considered with respect to their
projection on a plane perpendicular to the axis of rotation 51.
When making the three-dimensional extension of the propulsion
device a basis, there applies in accordance with the invention:
The blade bearing axis 33 is shifted toward the axis of rotation
51 by a particular distance wgx relative to the plane 260 which
extends through the center of mass 250 of the blade and parallel
to both the axis of rotation 51 and the chord 230 of the blade
2. Moreover, the blade bearing axis 33 is shifted by the
distance wgz relative to the plane which is perpendicular to the
chord 230 and which extends through the center of mass 250. It
turns out that the distance wgz substantially influences the
mean value of the loads in the coupling device 31. As for the
rest, wgz has a negligible influence on the loads at the offset
device 4.
The shifting wgx of the blade bearing axis 33 away from the
center of mass 250 enables to reduce the first harmonic
vibration of the torque at the blade 2. This will be explained
in detail soon. The reduction of the first harmonic vibration is
associated with a reduction of the mean force at the offset
device 4. This will be explained in detail in connection with
FIG. 10.
In the following, the influence of the distance wgx on the load
at the offset device 4 will be described. The blade 2 is mounted
for pivoting about the blade bearing axis 33 and/or at the blade
bearing point 33. During the rotation of the propulsion device
about the axis of rotation 51 the blade 2 performs two
rotational movements. The first rotational movement is the
rotation of the blade 2 along the circular path 52, the second
is the rotation of the blade 2 about the blade bearing axis 33
due to the pitch movement a. Each of these rotational movements
effects a corresponding force and/or a corresponding torque on
the blade 2. Due to the rotation of the blade 2 about the axis
of rotation 51 of the propulsion device the centrifugal force FZ
acts on the blade 2. This centrifugal force FZ engages in the
center of mass 250 of the blade 2. If M designates the mass of
the blade 2, r indicates the distance of the blade bearing point
33 from the axis of rotation 51 and ω indicates the angular
speed of the propulsion device, then the amount of the
centrifugal force FZ is given by
FZ=M·r·ω<2>.
The centrifugal force FZ in turn effects a torque TZ at the
blade 2 which attempts to rotate the blade 2 about the blade
bearing axis 33. This torque TZ is given by
TZ=FZ·
Image available on "Original document"
,
wherein
Image available on "Original document"
is the distance of the center of mass 250 from the blade bearing
axis 33; this means that
Image available on "Original document"
is given as the perpendicular from the blade bearing axis 33 on
the vector of the centrifugal force FZ engaging in the center of
mass 250. The distance
Image available on "Original document"
depends on the pitch angle α of the blade; in other words, the
distance Image available on "Original document"
is a function of the pitch angle α; in even other words, the
distance Image available on "Original document"
is a function of the pitch movement α. Therefore: Image
available on "Original document"
=Image available on "Original document"
(α).
In addition to the torque TZ caused by the centrifugal force FZ,
another torque TI acts on the blade 2 due to the pitch movement
α about the blade bearing axis 33. This torque TI depends, on
the one hand, on the mass inertia moment I of the blade,
relating to the blade bearing axis 33, and, on the other hand,
on the angular acceleration of the pitch movement α. The torque
TI is given as
[mathematical formula]
wherein the angular acceleration is given by the second time
derivative of the pitch movement α.
The total torque T acting on the blade is thus given by
[mathematical formula]
A Taylor expansion of the total torque T in the pitch angle α
and/or in the pitch movement α results in that, with realistic
amplitudes αA of the pitch movement α, such as for instance
αA=50°, i.e. −50°<α<+50°, harmonic values of the pitch
movement which are higher than the fundamental harmonic
vibration can substantially be neglected with respect to the
mean force on the eccentric bearing axis 41. Moreover, it
results from the Taylor expansion in consideration of the
geometry illustrated in FIG. 8 that the contribution to the
total torque T on the blade 2 produced by the fundamental
harmonic vibration is proportional to the following term R:
[mathematical formula]
Icm designates the mass inertia moment calculated with respect
to the center of mass 250 of the blade which may be calculated
by means of the Steiner theorem from the mass inertia moment I,
related to the blade bearing axis 33. wgz indicates the distance
of the center of mass 250 from a straight line which is
perpendicular to the chord 230 and extends through the blade
bearing point 33. It turns out that wgz substantially influences
the mean value of the moment. Thus, wgz can be used to influence
the mean values in the coupling device 31. This coupling device
31 is, due to geometry, regularly a very large structural
element in which a compressive load may cause failure by
kinking, which thus constitutes a critical loading condition.
With the parameter wgz a bias can now be effected in the tension
direction in the coupling device 31 by the shifting of the mean
values, so that no compressive forces occur therein in
operation. Thus, the critical loading condition of a compressive
load need not be taken into consideration, and this structural
element can be designed in a substantially simpler way. wgz has
moreover no substantial influence on the load of the eccentric
bearing axis 41. Due to the symmetrical distribution of a
plurality of coupling devices 31 along the circular path 52 the
mean values in the coupling devices 31 in the offset device 4
cancel out. In a particularly preferred manner wgz is chosen
such that the blade bearing point lies between the center of
mass 250 and the leading edge 210. wgx influences substantially
the first harmonic value of the torque at the blade. For the
determination of this first harmonic value wgz may be neglected.
This is due to the fact that wgz is indeed contained in the
formula for optimization (term R above), but that it has only a
very small influence as compared to wgx. This can be seen by the
fact that wgz is only included by the square in the above
formula for R.
If this term R is minimized, i.e. R=0, the torque T of the blade
is also minimized. The influence exerted by the torque T on the
blade is transferred via the coupling device 31 to the offset
device 4. In connection with FIG. 10 it will be described that
the first harmonic value of the torque T at the blade 2 results
in a mean force at the offset device 4. This means that it is
possible by the variation of the distance wgx to minimize the
loads at the offset device 4 due to the centrifugal force FZ and
the mass inertia of the blade 2.
FIG. 9 illustrates the progression of the two components 91, 92
of the mean force at the eccentric bearing axis in x and/or z
direction (global coordinate system), both normalized to the
force Fx at wgx=0. Thus, also the relation between the
components may be read. The ordinate 93 indicates the function
value, the abscissa 94 the distance wgx measured in centimeters.
In this parameter study the eccentric bearing axis is deflected
in the positive x direction. Thus, a substantial mean force
results at wgx=0 in the x direction. This may now be reduced
with the parameter wgx. In the case of an ideal configuration
this component may even vanish. Preferably wgx is chosen such
that the component Fx 91 becomes negative. Thus, a stabilization
of the system results since the mean force at the eccentric
bearing axis counteracts the deflection thereof. If the offset
distance is now increased, the mean force also increases, which
precisely counteracts this deflection. However, at wgx=0 the
component Fx 91 acts in the direction of the deflection. If the
deflection is increased, the mean force again also increases in
the direction of the deflection, which corresponds to an
instable property. If, for instance, during a failure of the
control the eccentric bearing axis could move freely, the rotor
would destroy itself at wgx=0 since the mean force always acts
in the positive deflection direction. If, however, the force is
directed contrary to the deflection, this has a stabilizing
effect. The reduction of the mean force at the offset device can
be recognized clearly. Specifically, the progression of the
graph Fx reveals that a reduction of the mean force occurs at
the offset device as soon as the blade bearing axis and/or the
blade bearing point is positioned at a distance w from the
center of mass of the blade. This means that an improvement as
compared to the bearing of the blade in the center of mass
always occurs in accordance with the invention when realistic
conditions are made a basis.
The mean force at the offset device as a function of the
distance w was calculated by using a further calculation of all
forces and moments and an additional consideration of
aerodynamic loads.
FIG. 9 reveals that the zero-crossing of Fx 91 of the mean force
at the offset device occurs at a distance wgx of approximately
3.4 mm. Taking into account the geometry underlying the model
calculation, this corresponds very well to the value obtained by
minimizing the term R derived in connection with FIG. 8.
The embodiments described in particular in connection with FIGS.
4-6 and concerning the first aspect of the invention allow the
minimization of the contributions of the even higher harmonic
values of the vibrations of the torque at the blade. Due to the
overlapping when a plurality of blades are used, for instance
with five blades, a minimization of the total vibration thus
results at the offset device, as will be shown in detail in
connection with FIG. 10. The embodiments described in connection
with FIGS. 8 and 9 and concerning the second aspect of the
invention allow the minimization of the fundamental vibration of
the torque at the blade, and further due to the overlapping of a
plurality of blades, of the mean force at the offset device
and/or the eccentric bearing axis.
By combining the first and second aspects of the invention it is
therefore possible to substantially reduce the loads at the
offset device of the propulsion device. This means that, by an
appropriate choice of the angle wα and of the distance wgx, a
substantial reduction of the vibrations and of the mean force at
the offset device and/or the eccentric bearing axis and of the
related loads is achieved.
FIG. 10 shows a Table demonstrating the influence of harmonic
values on the load at the offset device and/or the eccentric
bearing axis as a function of the number of blades of the
propulsion device. The parameter n 81 designates the number of
blades. The parameter j 83 indicates the ordinal number of the
harmonic values of the loads at the offset device resulting from
individual blades, wherein the loads were calculated in a
reference system co-rotating with the propulsion device. If one
proceeds to a stationary reference system, a redistribution and
an overlapping of the harmonic values j 83 of all blades will
result therefrom. In the stationary reference system the
parameter k 82 designates the ordinal number of the harmonic
values of the loads at the offset device. The Table indicates
for each harmonic value k 82 in the stationary reference system
which harmonic values j 83 in the co-rotating reference system
determine same.
For the stationary reference system the following can be derived
from the Table of FIG. 10. Irrespective of the number of blades
a fundamental harmonic value in the co-rotating reference system
always results in a mean force at the offset device. This
becomes clear by the entries in the column designated with 84.
In other words, the fundamental harmonic values j=1 in the load
of the blade in the co-rotating reference system effect a mean
force, characterized by the contribution of zeroth order k=0, in
the stationary reference system. Furthermore, propulsion devices
with different numbers of blades react differently to harmonic
values j 83 in the loads in the co-rotating reference system.
This results already from the fact that in the stationary
reference system different harmonic values k vanish; vanishing
harmonic values are designated by empty fields 87.
The Table of FIG. 10 finally reveals that a propulsion device
with n=5 blades is particularly advantageous. This is first of
all due to the fact that for the case of n=5 the harmonic values
of the loads with the ordinal number k=1, 2, 3, 4 vanish in the
stationary reference system. The harmonic values 86 with the
high ordinal numbers k=10 and k=15 are strongly suppressed.
Pursuant to the Table of FIG. 10 the loads at the offset device
therefore result in the case of n=5 blades substantially from
the mean force k=0, 84, and the harmonic value of fifth order,
k=5, 85. The Table further reveals that the mean force 84 in the
stationary reference system is effected by the fundamental
harmonic vibration, j=1, in the blade and/or in the coupling
device in the co-rotating reference system. This mean force can,
as described before in connection with FIGS. 8, 9, be minimized
by a positioning of the distance w at a particular distance from
the center of mass of the blade. The harmonic value of fifth
order results pursuant to FIG. 10 from the harmonic values of
the fourth, j=4, and sixth, j=6, orders of the vibrations in the
co-rotating reference system. These are even higher harmonic
values. As described in connection with the embodiments
illustrated in FIGS. 3-7, these values may be minimized by a
choice—in accordance with the invention—of the coupling point of
the coupling device at the blade at a particular angle from the
tangential plane through the blade bearing point.
This shows that the two aspects in accordance with the invention
effect a particularly advantageous reduction of the loads at the
offset device and/or at the eccentric bearing axis with a
propulsion device comprising five blades.
LIST OF REFERENCE NUMBERS
1 propulsion device
100 aircraft/cyclogyro
11 disk of the propulsion device 1
2 blade
210 leading edge of the blade 2
220 trailing edge of the blade 2
230 chord of the blade 2
240 camber line of the blade 2
241 upper side of the blade 2
242 lower side of the blade 2
250 center of mass of the blade 2
260 plane passing through the center of mass 250 and extending
parallel to the axis of rotation 51 and parallel to the chord
230
3 pitch mechanism
31 coupling device of the pitch mechanism 3/conrod
32 coupling point of the coupling device 31 to the blade 2
33 bearing device of the pitch mechanism 3/blade bearing
axis/blade bearing point
300 circular arc of the pitch movement
4 offset device
41 eccentric bearing axis
42 coupling point of the coupling device 31 to the offset device
4
43 offset distance of the eccentric bearing axis 41 from the
axis of rotation 51 of the propulsion device 1
51 axis of rotation of the propulsion device 1
52 circular path about the axis of rotation 51
53 arrow for indicating the direction of rotation of the
propulsion device 1
54 tangential plane/tangent to the circular path 52 through the
blade bearing axis 33
61 connection element for the indirect coupling of the coupling
device 31 to the blade 2
62 connection element for the coupling of the coupling device 31
to the blade 2
7 graph of the normalized loads at the offset device 4 as a
function of the angle wα
71 ordinate, designating the normalized loads at the offset
device 4
72 abscissa, designating the angle wα in degrees
81 number n of blades
82 ordinal number k of the harmonic values of the loads at the
offset device indicated in a stationary reference system
83 ordinal number j of the harmonic values of the loads at the
offset device indicated in a reference system co-rotating with
the propulsion device
84, 85, 86 non-vanishing contributions to the load at the offset
device
87 vanishing contributions
9 graph of the normalized mean force at the offset device 4 as a
function of the distance wgx of the blade bearing axis 33 from
the center of mass 250
91 x component of the mean force at the eccentric bearing axis
41
92 y component of the mean force at the eccentric bearing axis
41
93 ordinate, designating the normalized mean force at the offset
device 4
94 abscissa, designating the distance wgx in millimeters
α pitch angle/pitch movement
wα angle between the tangent 54 to the circular path and the
connection line of the coupling point 32 to the blade bearing
axis 33
wgx distance of the blade bearing axis 33 from the plane 260
through the center of mass 250 and parallel to the chord 230
wgz distance of the blade bearing axis 33 from the plane through
the center of mass 250 and perpendicular to the chord 230
r distance of the blade bearing axis 33 from the axis of
rotation 51 of the propulsion device 1
Image available on "Original document"
distance of the center of mass 250 from the blade bearing point
33
ρ angle between blade bearing axis 33, coupling point 32 and
axis of rotation 51
FZ centrifugal force acting on the blade
US10822079 -- AIRCRAFT [ PDF ]
Inventor: HOFREITHER KLEMENS [AT] // KINAST LUKAS [AT]
Applicant: CYCLOTECH GMBH
The invention relates to an aircraft designed as a
compound helicopter with an aircraft fuselage (1), a main
rotor (2) arranged on the aircraft fuselage (1), and cylcogyro
rotors (3, 3') which protrude laterally from the aircraft
fuselage (1) and which comprise an outer end surface. An
improved torque compensation is achieved in that the cyclogyro
rotors (3, 3') are connected to the aircraft fuselage (1) by
means of a suspension device (4, 4') which holds the cyclogyro
rotors (3, 3') at the outer border of the rotors, and each
cyclogyro rotor (3, 3') can be controlled individually and
independently of the other. A torque compensation function of
the main rotor (2) can be carried out by the cyclogyro rotors
(3, 3').[AT]
BACKGROUND OF THE INVENTION
Field of the Invention
[0002] The invention relates to an aircraft designed as a
compound helicopter with an aircraft fuselage, a main rotor
arranged on the aircraft fuselage, and cyclogyro rotors which
protrude laterally from the aircraft fuselage and comprise an
outer end surface.
Background Information
[0003] Cyclogyro rotors is, in general, the denotation for
cylindrical bodies which are mounted in such a manner that
they are rotatable about their axis and at the circumference
of which there are arranged pivotable rotor blades which are
cyclically adjusted by means of an offset adjusting device
during operation. Thus a thrust can be generated in any
direction perpendicular to the axis in dependence on the
adjustment of the rotor blades.
[0004] Prior art is represented by compound (hybrid)
helicopters which consist of an aircraft fuselage, a single
main rotor or a counter-rotating tandem motor, one or several
propeller units for the torque compensation and for the thrust
generation in forward flight, as well as of additional wing or
airfoil units for the generation of a vertical lift in forward
flight. Furthermore, there are known helicopter configurations
which comprise one or two cyclogyro rotors.
[0005] In the lateral arrangement of two rotors below the main
rotor on the left-hand side and the right-hand side of the
helicopter fuselage, respectively—as is known from prior
art—the cyclogyro rotors are connected to the helicopter
fuselage exclusively via the rotor shaft. As a result thereof,
high forces and torques or moments will occur at the mounting
on the aircraft fuselage and in the rotor shaft. Moreover, the
cyclic adjustment of the rotor blades by means of a unilateral
offset adjustment device is problematic, as enormous
centrifugal forces will be generated due to the required high
rotor speeds, and as additional torsional moments will burden
the rotor blade disproportionally due to the unilaterally
initiated cyclic rotor blade articulation.
[0006] In the following, further known solutions in connection
with the torque compensation in helicopters will be discussed.
[0007] From EP 2 690 011 A (Axel Fink) there is known an
aircraft configuration which is designed with an aircraft
fuselage at which a main rotor is provided approximately in
the mass center of gravity, and with two wings at each of
which a thrust propeller is arranged backwardly and rigidly in
the flight direction. The wings or airfoils are rigidly
connected to the aircraft fuselage by means of struts. Instead
of a tail rotor there is provided a horizontal and vertical
stabilizer. During take-off and landing as well as in the
hovering state the vertical lift is generated exclusively by
the main rotor, while the two additional propellers generate
the torque compensation and the thrust in forward flight. A
similar aircraft configuration is known from U.S. Pat. No.
3,385,537 A.
[0008] From EP 2 690 010 A (Axel Fink) there is known an
aircraft configuration which is designed with an aircraft
fuselage at which a main rotor is provided approximately in
the mass center of gravity, and with two wings which are
connected towards the rear to the horizontal and vertical
stabilizer by means of a double fuselage, wherein at the rear
ends of the double fuselages a thrust propeller is rigidly
arranged, respectively. The wings are rigidly connected to the
aircraft fuselage. During take-off and landing as well as in
the hovering state the vertical lift is generated exclusively
by the main rotor, while the two additional propellers
generate the torque compensation and the thrust in forward
flight.
[0009] From EP 2 690 012 A (Axel Fink) there is known an
aircraft configuration which is designed with an aircraft
fuselage at which a main rotor is provided approximately in
the mass center of gravity, and with four wings, wherein at
both front ends of each of the wings there is arranged a
pivotally designed ducted fan, respectively. The wings are
rigidly connected to the aircraft fuselage. During take-off
and landing as well as in the hovering state the vertical lift
is generated by the main rotor and is supported by the two
ducted fans which also generate the torque compensation and
the thrust in forward flight. The rear wings are provided with
elevators and rudders, the front wings are provided with
ailerons.
[0010] From EP 2 666 718 A (Paul Eglin) there is known an
aircraft configuration which is designed with an aircraft
fuselage at which a main rotor is provided approximately in
the mass center of gravity, and with two wings and a
horizontal stabilizer, wherein at the front ends of the wings
propellers are rigidly arranged in the flight direction. The
wings are rigidly connected to the aircraft fuselage. During
take-off and landing as well as in the hovering state the
vertical lift is generated exclusively by the main rotor,
while the two additional propellers generate the torque
compensation and the thrust in forward flight.
[0011] From EP 2 146 895 A (Philippe Roesch) there is known an
aircraft configuration which is designed with an aircraft
fuselage at which a main rotor is provided approximately in
the mass center of gravity, and with two wings and a
horizontal and vertical stabilizer, wherein at the front ends
of the wings propellers are arranged rigidly in the flight
direction. The wings are rigidly connected with the aircraft
fuselage. During take-off and landing as well as in the
hovering state the vertical lift is generated exclusively by
the main rotor, while the two additional propellers generate
the torque compensation and the thrust in forward flight.
[0012] From EP 2 105 378 A (Jean-Jaques Ferrier) there is
known an aircraft configuration which is designed with an
aircraft fuselage at which a main rotor is provided
approximately in the mass center of gravity, and with four
wings wherein backwards at the larger rear wings there is
rigidly arranged a thrust propeller in the flight direction,
respectively. The wings are rigidly connected to the aircraft
fuselage. During take-off and landing as well as in the
hovering state the vertical lift is generated exclusively by
the main rotor, while the two additional propellers generate
the torque compensation and the thrust in forward flight. The
wings are additionally provided with elevators.
[0013] From DE 10 2012 002 256 A (Felix Fechner) there is
known an aircraft which is designed as a helicopter with
additional wings, wherein said wings are implemented to be
pivotable or are implemented in segments and thereby produce a
reduction of the obstruction of the rotor downwind and
facilitate a higher flying velocity during hover flight or low
speed flight. During take-off and landing as well as in the
hovering state the vertical lift is generated exclusively by
the main rotor.
[0014] From RU 2 500 578 A (Nikolaevich Pavlov Sergej) there
is known an aircraft configuration which is designed with a an
aircraft fuselage at which a main rotor is provided
approximately in the mass center of gravity, with two
propeller units which are arranged in the front region
laterally in relation to the aircraft fuselage and in parallel
to the flight direction for the forward thrust and with two
pivotable wings as horizontal stabilizer, and a vertical
stabilizer in the rear region. During take-off and landing as
well as in the hovering state the vertical lift is generated
exclusively by the main rotor, while the two additional
propellers generate the torque compensation and the thrust in
forward flight.
[0015] From US 2013 0327879 A (Mark W. Scott) there is known
an aircraft configuration which is designed as a helicopter
with a main rotor and a tail rotor, which can be pivoted about
an axis of rotation, approximately in parallel to the axis of
rotation of the main rotor. The pivotable tail rotor
stabilizes the aircraft in the hovering state and it can
additionally generate a horizontal thrust in the flight
direction, while during take-off and landing as well as in the
hovering state the vertical lift is generated exclusively by
the main rotor.
[0016] From US 2006 0169834 A (Allen A. Arata) there is known
an aircraft configuration which is designed as a helicopter
with a main rotor and with a tail rotor, and with two
additional wings. The wings are rigidly arranged at the
aircraft fuselage below the main rotor and can be pivoted
approximately in the middle of their length by 90° downwards
in parallel to the aircraft axis, and in this position they
serve as landing skid or landing gear. During take-off and
landing as well as in the hovering state the vertical lift is
generated exclusively by the main rotor, while in the forward
flight an additional lift is generated by the two extended
wings.
[0017] From WO 2005/005250 A (Arthus W. Loper) there is known
an aircraft configuration which is designed as a helicopter
with a main rotor, a tail rotor, a propeller at the front end
of the helicopter, with two additional wings and with a
horizontal and vertical stabilizer. The wings are rigidly
arranged at the aircraft fuselage below the main rotor. During
take-off and landing as well as in the hovering state the
vertical lift is generated exclusively by the main rotor,
while in the forward flight an additional lift is generated by
the two wings. The front-end propeller generates the thrust
for the forward flight.
[0018] From US 2006 0157614 A (John S. Pratt) there is known
an aircraft which is designed as a helicopter with several
additional wings below the main rotor, wherein said wings are
implemented in segments and in a pivotable manner, and thereby
they enable a reduction of the obstruction of the rotor
downwind and facilitate a higher flying velocity during hover
flight or low speed flight. During take-off and landing as
well as in the hovering state the vertical lift is generated
exclusively by the main rotor, and in the faster forward
flight the additional wings support the vertical lift. The
torque compensation is carried out by means of the individual
setting of the segmented wings via the downwind of the main
rotor, and no tail rotor is present.
[0019] From FR 9 803 946 A (Paul Julien Alphonse) there is
known an aircraft configuration which is designed as a
helicopter with a main rotor, a tail rotor, a propeller at the
backside of the helicopter, with two additional wings and with
a horizontal and vertical stabilizer. The wings are rigidly
arranged at the aircraft fuselage outside the main rotor.
During take-off and landing as well as in the hovering state
the vertical lift is generated exclusively by the main rotor,
while in the forward flight an additional lift is generated by
the two wings. The backside propeller generates the thrust for
the forward flight.
[0020] From U.S. Pat. No. 5,738,301 A (Daniel Claude Francois)
there is known an aircraft configuration which is designed as
a helicopter with a main rotor, a tail rotor, a propeller at
the backside of the helicopter, with two additional wings, and
with a horizontal and vertical stabilizer. The wings are
rigidly arranged at the aircraft fuselage below the main
rotor. During take-off and landing as well as in the hovering
state the vertical lift is generated exclusively by the main
rotor, while in the forward flight an additional lift is
generated by the two wings. The backside propeller generates
the thrust for the forward flight.
[0021] From U.S. Pat. No. 5,174,523 A (David E. H. Balmford)
there is known an aircraft configuration which is designed as
a helicopter with a main rotor, a propeller with a flow
guiding unit at the backside of the helicopter, and with two
additional wings. The wings are rigidly arranged at the
aircraft fuselage below the main rotor. During take-off and
landing as well as in the hovering state the vertical lift is
generated exclusively by the main rotor, while in the forward
flight an additional lift is generated by the two wings. The
backside propeller generates the thrust for the forward flight
and the torque compensation by means of the flow guiding unit.
[0022] From RU 2 089 456 A (Mikhail Il'ich Fefer) there is
known an aircraft configuration which is designed as a
helicopter with two wings which are arranged in the central
region of the fuselage, wherein at the ends of said two wings
there is rigidly arranged a main rotor, respectively. The
wings are rigidly arranged at the aircraft fuselage below the
respective main rotor. During take-off and landing as well as
in the hovering state the vertical lift is generated
exclusively by the main rotor, while in the forward flight an
additional lift is generated by the two additional wings.
[0023] From U.S. Pat. No. 5,067,668 A (Daniel R. Zuck) there
is known an aircraft designed as a helicopter with additional
wings below the main rotor, wherein said wings are designed in
a pivotable manner and thereby enable the torque compensation
during the hover flight or low speed flight, and hence the
tail rotor as a torque compensation is omitted. The propeller
arranged at the tail is used exclusively for the generation of
a thrust for the forward flight. During take-off and landing
as well as in the hovering state the vertical lift is
generated exclusively by the main rotor.
[0024] From U.S. Pat. No. 4,928,907 (Daniel R. Zuck) there is
known an aircraft designed as a helicopter with additional
wings below the main rotor, wherein said wings are designed in
a pivotable manner and thereby enable the torque compensation
during the hover flight or low speed flight, and hence the
tail rotor as a torque compensation is omitted. A propeller
arranged at the tail is used exclusively for the generation of
a thrust for the forward flight. During take-off and landing
as well as in the hovering state the vertical lift is
generated exclusively by the main rotor.
[0025] From U.S. Pat. No. 4,691,877 A (Ralph M. Denning) or GB
2143483 (John Denman Sibley) there is known an aircraft which
is designed as a helicopter with additional wings below the
main rotor, and pivotable flaps are arranged at the wings,
around which the exhaust gas of the afterburner from the main
drive flows. The wings are rigidly connected to the aircraft
fuselage. During take-off and landing as well as in the
hovering state the vertical lift is generated by the main
rotor and by the exhaust gas flow from the two afterburners
which can also generate a torque compensation and an
additional thrust in forward flight.
[0026] From U.S. Pat. No. 3,977,812 A (Wayne A. Hudgins) there
is known an aircraft configuration which is designed as a
helicopter with a main rotor, a tail rotor, a propeller at the
backside of the helicopter, and with two additional wings. The
wings are rigidly arranged at the aircraft fuselage below the
main rotor. During take-off and landing as well as in the
hovering state the vertical lift is generated exclusively by
the main rotor, while in the forward flight an additional lift
is generated by the two wings. The backside propeller
generates the thrust for the forward flight.
[0027] From CA 825 030 A (Nagatsu Teisuke) or U.S. Pat. No.
3,448,946 A (Nagatsu Teisuke) there is known an aircraft
configuration which is designed as a helicopter with a main
rotor, a tail rotor, a propeller at the backside of the
helicopter, with a horizontal and vertical stabilizer, and
optionally with two additional wings. The wings are rigidly
arranged at the aircraft fuselage below the main rotor. During
take-off and landing as well as in the hovering state the
vertical lift is generated exclusively by the main rotor,
while in the forward flight an additional lift is generated by
the two wings. The backside propeller generates the thrust for
the forward flight.
[0028] From the publication by C. Silva and H. Yeo,
Aeroflightdynamics Directorate, U.S. Army RDECOM, and W.
Johnson, NASA Ames Research Center: “Design of a Slowed-Rotor
Compound Helicopter for Future Joint Service Missions”,
Aeromech Conference, San Francisco, Calif., January 2010,
there is known an aircraft configuration which is designed as
a helicopter with a main rotor, a tail rotor, a propeller at
the backside of the helicopter, with a horizontal and vertical
stabilizer, and with two additional wings. The wings are
rigidly arranged at the aircraft fuselage below the main
rotor. During take-off and landing as well as in the hovering
state the vertical lift is generated exclusively by the main
rotor, while in the forward flight an additional lift is
generated by the two wings. The backside propeller generates
the thrust for the forward flight.
[0029] From U.S. Pat. No. 3,563,469 A (Daniel R. Zuck) there
is known an aircraft configuration which is designed as a
helicopter with a main rotor, a tail rotor, a propeller at the
backside of the helicopter, with a horizontal and vertical
stabilizer, and with two additional pivotable wings. The wings
are arranged in a pivotable manner at the aircraft fuselage
below the main rotor. During take-off and landing as well as
in the hovering state the vertical lift is generated
exclusively by the main rotor, while in the forward flight an
additional lift is generated by the two wings. The backside
propeller generates the thrust for the forward flight, the
tail rotor generates the torque compensation.
[0030] From U.S. Pat. No. 3,241,791 A (F. N. Piasecki) there
is known an aircraft configuration which is designed as a
helicopter with a main rotor, a ducted fan at the backside of
the helicopter, with two additional wings arranged at the
aircraft fuselage below the main rotor, and with a flow
guiding unit at the output of the ducted fan. During take-off
and landing as well as in the hovering state the vertical lift
is generated exclusively by the main rotor, while in the
forward flight an additional lift is generated by the two
wings. The backside ducted fan with the flow guiding unit
generates the thrust for the forward flight and the torque
compensation.
[0031] From CA 700 587 A and U.S. Pat. No. 3,105,659 A
(Richard G. Stutz) there is known an aircraft configuration
which is designed as a helicopter with a main rotor, a tail
rotor, a horizontal stabilizer, and with two additional rigid
wings with aileron flaps and propellers. The wings are
arranged at the aircraft fuselage below the main rotor. During
take-off and landing as well as in the hovering state the
vertical lift is generated exclusively by the main rotor,
while in the forward flight an additional lift is generated by
the two wings. The tail rotor generates the torque
compensation, and the two propellers generate the thrust in
forward flight.
[0032] All said known compound helicopter aircraft
configurations which are designed with classical thrust
generating means like propellers have the disadvantage that
the vertical lift for the take-off and the landing as well as
in the hovering state is exclusively or mainly generated by
the main rotor, and that a correspondingly large main rotor
diameter is required. In the forward flight the large main
rotor produces the largest flow resistance and causes the
largest energy loss. The additional drive units like
propellers or ducted fans facilitate higher flying velocities
and improved maneuverabilities, but with an increasing flying
velocity the efficiency is reduced and the energy consumption
is increased disproportionally.
[0033] The known compound helicopter aircraft configurations
with cyclogyro rotors have the disadvantage that in the known
lateral arrangement of the cyclogyro rotors the rotor discs
and support elements influencing the aerodynamics are lacking
and that the cyclic adjustment of the rotor blades has to be
carried out by a rotating rotor shaft and can only be carried
out from the side facing the aircraft fuselage, respectively,
that with the known horizontal arrangement as a tail rotor no
contribution to the generation of the thrust force in the
flight direction can be made, and that the through-flow
cross-section in the rotor is reduced massively by the
helicopter structure, and that with the vertical arrangement
as tail rotor no contribution to the vertical thrust
generation can be made.
[0034] From U.S. Pat. No. 5,100,080 A, U.S. Pat. No. 5,265,827
A, and US 2007/0200029 A1 there are known aircrafts with
cyclogyro rotors having adjustable rotor blades. Combinations
with main rotors are not mentioned therein. Therefore, the
advantages of a helicopter cannot be utilized.
SUMMARY OF THE INVENTION
[0035] The object of the present invention is to define a
novel aircraft on the basis of a helicopter which avoids the
above-described disadvantages without losing the additional
benefits.
[0036] This object is achieved according to the invention in
that the cyclogyro rotors are connected to the aircraft
fuselage by means of a suspension device which holds the
cyclogyro rotors at the outer border of the rotors, and that
each cyclogyro rotor can be controlled individually and
independently of the other, and that a torque compensation
function of the main rotor can be carried out by the cyclogyro
rotors.
[0037] In this case it is a helicopter which is equipped with
two additional laterally arranged cyclogyro rotors
which—independently of one another—can generate a thrust
vector to be controllable in any direction in a plane
substantially in parallel to the axis of rotation of the main
rotor and to the longitudinal axis of the helicopter, and
hence they can take over the torque compensation of the main
rotor in all flying situations, they will supplement the
vertical thrust of the main rotor in the vertical take-off,
landing, and hovering state, they will support the secure
transition from the hovering state into the forward flight,
and they will generate the required thrust in forward flight.
Due to the support of the vertical thrust of the main rotor,
the main rotor can be made with a diameter smaller in size
compared to the classical helicopter and all known compound
(hybrid) helicopters so that in forward flight a better
efficiency can be obtained or that with a comparable driving
power a higher velocity can be achieved. A tail rotor in the
classical sense is not necessary.
[0038] In this connection, two cyclogyro rotors are connected
to the aircraft fuselage laterally by means of a support
device or with supporting elements such that the thrust forces
generated by the cyclogyro rotor can be introduced into the
aircraft fuselage so that a substantially lighter construction
can be achieved. Furthermore, by the cyclogyro rotors which
can be controlled independently of the other the torque
compensation is taken over so that no tail rotor is necessary
which facilitates a further reduction in weight.
[0039] The connection of the suspension device to the aircraft
fuselage can also be effected indirectly by means of other
components.
[0040] The bilateral mounting of the cyclogyro rotors in the
suspension device is of special importance, as it does not
only facilitate a lighter and more robust construction, but
also an adjustment of the rotor blades on both sides.
[0041] In a particular embodiment of the invention the offset
adjustment devices required for the cyclic adjustment of the
rotor blades are arranged on both sides of the cyclogyro
rotor, whereby a light and robust construction is obtained
which puts the least load on the critical rotor components.
The introduction of the torque into the cyclogyro rotors takes
place at the side of the cyclogyro rotor facing the aircraft
fuselage.
[0042] By the preferred arrangement of the cyclogyro rotors
below the main rotor, the main rotor can be reduced in size to
a substantial degree, as the generation of the vertical thrust
for the vertical take-off, landing, and for the hovering state
is supported by two cyclogyro rotors arranged laterally at the
aircraft fuselage below the main rotor. A cyclogyro rotor
generates a thrust vector that can be controlled in a plane
perpendicular to the axis of rotation of the rotor in any
direction and can be adjusted continuously from 0 up to a
maximum value by changing a cyclic pitch angle of the rotating
rotor blades as a function of the displacement of an offset
position within the rotating cyclogyro rotor. By the lateral
arrangement of such rotors at one side of the aircraft
fuselage, respectively, and by the unlimited change of
direction of the thrust vectors, said rotors furthermore
generate the torque compensation of the main rotor so that in
this configuration no tail rotor is required. The
configuration according to the invention facilitates a
vertical take-off helicopter which shows a lower energy
consumption at the same carrying capacity, which has a smaller
main rotor diameter and thus can take off and land also on a
smaller space, which does not require any tail rotors, and
which achieves a higher flying velocity with a comparatively
lower energy consumption. The compound helicopter according to
the invention also has the potential of a larger range with
the same fuel load. A further advantage is the higher agility
in almost all flight phases.
[0043] It is preferred if the suspension device is designed as
wings or airfoils in order to generate a lift in the forward
flight. Thereby, on the one hand, the load on the main rotor
can be reduced and, on the other hand, the maximum velocity
can be increased, as the main rotor can be operated with a
reduced speed.
[0044] In this connection it is particularly favorable if the
suspension device is arranged above the cyclogyro rotors. In
this way, in the forward flight an improved flow against the
cyclogyro rotors can be achieved. In order to improve the
effect of the main rotor onto the cyclogyro rotors it can in
particular be provided that the suspension device has a recess
directly above the cyclogyro rotors.
[0045] Preferably there is provided a horizontal and vertical
stabilizer for the stabilization. This means in particular
that no separate airscrew is provided in order to manage the
torque compensation, which is also not required due to the
design according to the invention.
[0046] A particular embodiment of the invention provides that
the cyclogyro rotors are connected to the drive of the main
rotor by means of a gear. This means that the speeds of the
main rotor and of the cyclogyro rotors always will be in a
constant proportion to each other. The respectively required
thrust will be adjusted by the adjustment of the rotor blades.
This enables a very simple drive.
[0047] Alternatively it can be provided that the cyclogyro
rotors have a drive which is independent of the main rotor,
wherein said drive can be electrical, hydraulic, or can be
implemented as an individual drive unit. Thereby the thrust
can be varied within particularly broad limits.
[0048] In a particularly advantageous embodiment the aircraft
does not have any tail rotor. Thereby the weight can be
reduced and the constructional expenditure is reduced.
BRIEF DESCRIPTION OF THE FIGURES
[0049] The invention will now be described in detail by means
of FIGS. 1 to 8, wherein:
[0050] FIG. 1 shows a compound helicopter according to the
invention in a diagonal view from above;
[0051] FIG. 2 shows the helicopter of FIG. 1 in a view from
the front;
[0052] FIG. 3 shows the helicopter of FIG. 1 in a lateral
view;
[0053] FIG. 4 shows the helicopter of FIG. 1 in a plan view;
[0054] FIG. 5 shows a cyclogyro rotor in a diagonal view;
[0055] FIG. 6 shows the cyclogyro rotor in a lateral view;
[0056] FIG. 7 shows the cyclogyro rotor in a view from the
front; and
[0057] FIG. 8 shows an offset adjustment device in detail.
DETAILED DESCRIPTION OF THE INVENTION
[0058] FIG. 1 shows an aircraft according to the invention,
namely a compound helicopter, in a diagonal view from above,
consisting of the aircraft fuselage 1, the main rotor 2, the
laterally arranged cyclogyro rotors 3 and 3′, the suspension 4
and 4′ of the cyclogyro rotors, the outer mounting or bearing
5′, and the outer offset adjustment device 11′, and the
horizontal and vertical stabilizer 6, 6′, 7, 7′, and the
recess 20 in the suspension 4 and 4′.
[0059] FIG. 2 shows the compound helicopter according to the
invention in a front view, with the two laterally arranged
cyclogyro rotors 3 and 3′, their suspension 4 and 4′, wherein
the suspension 4 and 4′ is also designed as a wing or airfoil
or as a component having the function of a wing or airfoil. In
the central region there is provided a recess 20 which
facilitates a passage of air downwards. The suspension 4, 4′
is fixed on the one hand at the aircraft fuselage 1 and on the
other hand at the outside of the cyclogyro rotors 3, 3′ and
holds them.
[0060] An offset adjustment device 11 and 11′ for the
adjustment of the rotor blades 9 is arranged at the outside of
the cyclogyro rotors 3, 3′, wherein the two offset adjustment
devices facing the aircraft fuselage 1 of the helicopter are
not visible. Thereby it is possible to perform the cyclic
adjustment of the rotor blades 9 from two sides and to provide
the drive of the rotor 3, 3′ from the side facing the aircraft
fuselage 1 of the helicopter. It is provided that the
cyclogyro rotors 3, 3′ have a length in the axial direction
(e.g., a distance from the aircraft fuselage 1 to the outer
border) which corresponds approximately to the diameter of the
cyclogyro rotors 3, 3′ and preferably lies between 80% and
120% of the diameter.
[0061] FIG. 3 shows the compound helicopter according to the
invention in a lateral view, with the laterally arranged
cyclogyro rotor 3′, its suspension 4′, wherein the suspension
can also be implemented as a wing or as a component having the
function of a wing, the outer rotor mounting or bearing 5′,
and the outer offset adjustment device 11′, and the vertical
stabilizer 6.
[0062] From FIG. 4 there becomes evident in particular the
horizontal and vertical stabilizer 6, 6′, 7, 7′.
[0063] FIG. 5 shows the right-hand side cyclogyro rotor 3 of
FIG. 2 in a diagonal view, consisting substantially of the
rotor shaft 10, the rotor blades 9 (preferably three to six),
the two rotor disks 8 and 8′ with integrated rotor blade
bearing or mounting, the lateral offset adjustment device 11
facing away from the helicopter aircraft fuselage, for
influencing the cyclic pitch angle of the rotor blades and the
direction of the thrust vector 12 which can be controlled in a
plane 15 perpendicular to the axis of rotation 10 of the rotor
into any direction and any size, if the cyclogyro rotor 3 is
kept in rotation with a corresponding speed according to the
rotational direction 14.
[0064] FIG. 6 shows the cyclogyro rotor 3 in a lateral view,
wherein by the angle φ the direction 13 of the thrust vector
12 is indicated and by Ω the direction of rotation 14 of the
cyclogyro rotor is indicated.
[0065] FIG. 7 shows the right-hand side cyclogyro rotor 3 of
FIG. 2 in a lateral view, consisting substantially of the two
rotor disks 8 and 8′, the rotor shaft 10, the rotor blades 9
(preferably 3 to 6), the lateral offset adjustment device 11
facing away from the aircraft fuselage 1 of the helicopter,
and the offset unit 19 facing the aircraft fuselage 1 of the
helicopter, for influencing the cyclic pitch angle of the
rotor blades and the direction of the thrust vector.
[0066] FIG. 8 shows the cyclic rotor blade setting devices 16
which are connected in the rotor disks 8 to the offset
adjustment device 11. By displacing the central offset point
17 within a circular area 18, in accordance with the distance
and the direction of the offset point 17 from the axis of
rotation 10 of the rotor the size of the thrust vector and the
direction of the thrust vector will be defined.
WO2022243559 -- Aircraft [ PDF ]
Inventor(s): HOFREITHER KLEMENS [AT];
KINAST LUKAS [AT] +
Applicant(s): CYCLOTECH GMBH [AT] +
The invention relates to an aircraft (100) comprising an
aircraft body (120) which defines a longitudinal direction, a
vertical direction and a transverse direction, and at least two
drive devices (1) which can rotate about a respective associated
rotational axis (5) in order to generate a respective associated
thrust vector, wherein a first number of the drive devices are
arranged along a first straight line running parallel to the
transverse direction, and a second number of drive devices are
arranged along a second straight line running parallel to the
transverse direction, the first straight line is spaced apart
from the second straight line, and the centre of gravity of the
aircraft is positioned between the first straight line and the
second straight line. The aircraft is designed to perform a
hovering flight, such that, in the hovering flight, each of the
associated rotational axes (5) is orientated substantially in
the transverse direction of the aircraft body, and each of the
at least two drive devices rotates about the respective
associated rotational axis substantially in the same rotational
direction. The invention also relates to aircraft configurations
with further orientations of the rotational axes.
The invention relates to an aircraft and methods for producing
and controlling the aircraft. In particular, the invention
relates to an aircraft that can achieve a stable hovering flight
with drive devices rotating in the same direction, in particular
cyclogyro rotors. Aircraft that use cyclogyro rotors as
propulsion devices are called cyclogyros. Cyclogyros, like
helicopters, are also so-called Vertical take-off and landing
vehicles (VTOL vehicles) are aircraft that are capable of taking
off and landing vertically without a runway. A cyclogyro rotor
is based on the principle of generating thrust with rotating
wings, which are then called rotor blades. In contrast to
classic rotating blades, such as those used in the propulsion
system of a helicopter, the rotation axis of the blades of a
cyclogyro rotor is aligned parallel to the longitudinal axis of
the wings / rotor blades.
The thrust direction of the entire cyclogyro rotor is normal to
the axis of rotation. In stationary operation, such as hovering
or forward flight at constant speed, all rotor blades of the
cyclogyro rotor should ideally be aligned as best as possible to
the flow direction at all times in order to make a maximum
contribution to the total thrust with the minimum required
propulsion power. The maximum inclination of the rotor blades
relative to the flow direction directly influences the amount of
thrust generated. Due to the rotation of the rotor, the
inclination of each rotor blade must be continuously changed
during one revolution. Each rotor blade of a cyclogyro rotor
thus undergoes a periodic change of the angle of inclination.
This periodic change in the angle of inclination is called pitch
movement. Different pitch mechanisms are known to generate the
pitch movement. For example, each rotor blade can be connected
to an eccentric bearing axis via one or more connecting rods.
The resulting pitch movement of a rotor blade repeats itself
cyclically with each rotor revolution. Various designs of drive
devices for cyclogyros are described in the European patent
applications published under numbers EP 3548378 A1 and EP
3715249 A1. The periodic adjustment of the rotor blades creates
a thrust vector normal to the rotor's axis of rotation. With the
help of an offset device, the periodic rotor blade adjustment is
changed, and thus the thrust vector can be rotated in the entire
plane which is normal to the axis of rotation of the rotor
(thrust vector control). In addition to the thrust vector, the
rotor generates a torque around the axis of rotation opposite to
the direction of rotation of the rotor resulting from the
tangential components of the air forces acting on the rotor
blades, namely the lift and drag forces. If air flows onto the
rotor from the outside, the aerodynamic properties and thus the
properties of the generated thrust vector change.
When the rotor is in forward flight, it is actively supplied
with air from the front. The changed properties can be
approximately explained by the Magnus effect. This states: “A
rotating round body in a flow experiences a transverse force
normal to the flow direction. “ The direction of the transverse
force depends on the direction of rotation of the body or in
this case: the cyclogyro rotor. For example, from the article by
I.S. Hwang et al.: “Development of a Four-Rotor Cyclocopter”
from Journal of Aircraft, Vol. 45, No. 6, November–December
2008, pages 2151 ff. and the article by M. Benedict et al.:
“Experimental Optimization of MAV-Scale Cycloidal Rotor
Performance” from Journal of the American Helicopter Society 56,
022005 (2011) known aircraft or However, cyclogyros rotate
rotors in opposite directions while maintaining constant
airflow. In this case, i.e. when the rotors rotate in opposite
directions, the transverse forces of the rotors caused by the
Magnus effect do not act in the same direction and can thus
reduce the overall thrust or increase the power requirement
while the same lift force is required.
At higher forward speeds and in the opposite direction of
rotation, it is therefore possible that the negative impact of
the Magnus effect can no longer be compensated by the rotor. As
a result, the aircraft is no longer capable of flying and the
rotor cannot be used as a lift-generating component. The object
of the present invention is therefore to provide an aircraft
which is capable of maintaining a stable flight attitude even at
high speeds in forward flight. This object is achieved by the
aircraft having the features according to claim 1, by the
aircraft having the features according to claim 5, the methods
for producing an aircraft according to claims 17 and 18,
respectively, and the methods for controlling an aircraft
according to claims 19 and 20, respectively. Advantageous
embodiments of the present invention are specified in subclaims
2 to 4, 6 to 16 and 21 to 24. According to a first aspect of the
invention, an aircraft is provided comprising the following
components: an aircraft body defining a longitudinal direction,
a vertical direction and a transverse direction, wherein the
longitudinal direction corresponds to the direction from the
tail to the nose of the aircraft, the vertical direction
corresponds to the direction of gravity when the aircraft is
resting on the ground, and the transverse direction is
perpendicular to the longitudinal direction and the vertical
direction, and at least two drive devices which are rotatable
about a respective associated axis of rotation in order to
generate a respective associated thrust vector.
A first number of drive devices is arranged along a first
straight line running parallel to the transverse direction, and
a second number of drive devices is arranged along a second
straight line running parallel to the transverse direction. The
first line is spaced from the second line, and the center of
mass of the aircraft is positioned longitudinally between the
first line and the second line. The aircraft is designed to
perform a hover flight in which all forces acting on the
aircraft acting forces and all torques acting on the aircraft
with respect to the center of mass of the aircraft essentially
disappear, due to the fact that, in hovering flight, each of the
associated axes of rotation is aligned essentially in the
transverse direction of the aircraft body, and each of the at
least two drive devices rotates essentially in the same
direction of rotation about the respectively associated axis of
rotation. According to the invention, an axis of rotation is
aligned substantially in the transverse direction of the
aircraft body if the angle enclosed between the axis of rotation
and an axis running in the transverse direction and intersecting
the axis of rotation is less than 45°, preferably less than 30°,
particularly preferably less than 15°.
In the sense of the invention, it is therefore not necessary
that all axes of rotation are mathematically exactly parallel
during hovering. It may even be expedient if the angle between
an axis of rotation and an axis which runs in the transverse
direction and intersects the axis of rotation is in the range
between 5° and 30°, particularly preferably between 10° and 20°.
Furthermore, according to the invention, the drive devices
rotate essentially in the same direction of rotation if the
scalar product of the vector of the angular velocity of a
specific drive device and a fixed but arbitrary vector pointing
in the transverse direction has the same sign for all drive
devices. This means that in order to check that all drive
devices under consideration or each of the drive devices under
consideration rotate essentially in the same direction of
rotation, a vector in the transverse direction is first fixed.
Subsequently, the scalar product of the angular velocity vector
of a first drive device and the fixed vector is calculated;
then, for a second drive device, the scalar product of the
angular velocity vector of a second drive device and the fixed
vector; etc.
Finally, only the signs (plus or minus) of the scalar products
calculated in this way are compared. If all signs are the same,
the drive devices under consideration rotate or each of the
drive devices under consideration rotates essentially in the
same direction of rotation within the meaning of the invention.
In the sense of the invention, it is therefore neither necessary
that all axes of rotation are mathematically exactly parallel
during hovering, nor that all Drive devices rotate around the
axis of rotation with the same rotational or (magnitude) angular
velocity. The fact that the aircraft is designed to perform a
hover flight with the propulsion devices rotating essentially in
the same direction results in a reduction in the power
consumption of the propulsion devices. Put simply, the Magnus
effect occurring according to the invention replaces part of the
thrust of the propulsion devices and thus reduces the power
requirement in forward flight compared to hovering flight.
Because more residual power remains for the propulsion systems
in forward flight, the agility of the aircraft in particular
increases in forward flight. The Magnus effect states that a
rotating round body in a flow experiences a transverse force
normal to the flow direction. In the case of the drive devices
according to the invention, which rotate essentially in the same
direction, this effect can generate an additional thrust vector
or an additional thrust force in the vertical direction. This
increases the overall lift force of the propulsion devices. The
Magnus effect replaces part of the thrust required by the
propulsion system and thus reduces the power required in forward
flight compared to hovering. If the rotor is now in forward
flight, it is actively supplied with air from the front. In the
configuration according to the invention, in which the drive
devices rotate substantially in the same direction, the
additional transverse force of the Magnus effect acts
substantially in the same direction as the thrust of the drive
devices when the flow remains constant and thus increases the
total thrust or reduces the power requirement while the same
lift force is required.
In forward flight, especially at higher forward speeds and
essentially the same direction of rotation, it is therefore
possible that the positive impact of the Magnus effect requires
a lower power and/or rotation speed of the propulsion devices in
order to keep the aircraft in a stable flight attitude.
Particularly preferably, the aircraft is further designed such
that, during hovering, the center of mass of the aircraft is
positioned in such a way that all forces acting on the aircraft
and all torques acting on the aircraft with respect to the
center of mass of the aircraft are in the Essentially disappear
when one or more of the propulsion devices generate a specific
predetermined thrust vector assigned to them. This instruction
is subject to the restriction that the longitudinal centre of
mass of the aircraft must be within a range determined by the
ability of the aircraft to hover when one or more of the
propulsion devices are driven at maximum thrust or maximum
thrust vector.
In other words, if the center of mass is within the said area,
the propulsion devices are able to generate corresponding thrust
vectors so that the aircraft can perform hovering. In hovering
flight, the airflow velocity is generally lower than in forward
flight. By specifying the thrust vectors of the propulsion
devices for hovering flight for the aircraft according to the
invention and determining the position of the center of mass for
hovering flight, it is ensured that a stable flight attitude is
also possible in forward flight. As stated above, the positive
effect according to the invention, which is caused by the Magnus
effect, is greater the higher the flow velocity is. Therefore,
the inventive configuration of the aircraft in hover flight
ensures that the aircraft can assume a stable flight attitude,
especially in forward flight, because in forward flight the
Magnus effect leads to a greater increase in the thrust vector
than in the case of hover flight.
When designing and configuring an aircraft according to the
invention with propulsion devices, all forces and torques of the
propulsion devices must be taken into account. Basically, the
thrust force or thrust vector is used to generate the required
lift force and/or to control the flight attitude of the
aircraft. For this purpose, the aircraft expediently comprises a
thrust vector control which regulates the required thrust force
or thrust vectors in hovering flight and/or in forward flight.
Each of the drive devices according to the invention generates a
torque opposite to the direction of rotation. This torque around
the axis of rotation opposite to the direction of rotation of
the drive device results from tangential air forces caused,
among other things, by air resistance. In order to maintain a
constant rotational speed, the drive device must therefore
generate a (drive) torque that corresponds to the counteracts
the torque resulting from tangential air forces.
However, in order for the propulsion device to be able to
generate such a (drive) torque during the flight phase, an
additional torque is required, which the aircraft body must
generate (according to the principle of actio = reactio) in
order to “support” the propulsion device in the air. In order to
maintain a constant rotational speed against the air forces,
this latter torque is (neglecting dissipative effects)
approximately equal in magnitude to the torque generated by the
tangential air forces, and also points in the same direction as
the latter. Since the torque generated by the air forces
counteracts the direction of rotation of the propulsion device,
the torque applied by the aircraft body also counteracts the
direction of rotation of the propulsion device. Assuming that
the torque due to the air forces and that of the propulsion
device are essentially equal in magnitude but oppositely
directed, the net torque remaining is the torque applied by the
aircraft body due to the rotation of the propulsion device.
According to the invention, this torque or these torques are
compensated by positioning the center of mass of the aircraft in
such a way that, taking into account the thrust vectors assigned
to the respective drive devices and predetermined, all forces
acting on the aircraft and all torques acting on the aircraft
with respect to the center of mass of the aircraft essentially
disappear during hovering flight. Because, according to the
invention, the drive devices rotate essentially in the same
direction of rotation, the torques of all of these drive devices
caused by the aircraft body as described above also act
essentially in the same direction. The torques therefore add up
and do not cancel each other out. In order to achieve a stable
flight position in hovering and forward flight, the balance of
all forces and torques acting on the aircraft must be achieved.
The calculation is carried out using the momentum and angular
momentum theorem.
The momentum theorem is: <img file="imgf000010_0001.tif"
frnum="0001" he="11" id="imgf000010_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0001"
wi="26"/> where m is the mass of the aircraft, <img
file="imgf000010_0003.tif" frnum="0001" he="7"
id="imgf000010_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0002" wi="7"/> is
the acceleration vector of the center of mass of the aircraft
and F is the force vector acting on the aircraft. The angular
momentum theorem states <img file="imgf000010_0002.tif"
frnum="0001" he="9" id="imgf000010_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0003"
wi="23"/> where M<sub>s</sub> is the temporal
change of the angular momentum vector (angular momentum vector)
and M<img file="imgf000010_0002.tif" frnum="0001" he="9"
id="imgf000010_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0003" wi="23"/> is
the torque vector acting on the aircraft.
If a stable flight attitude is required (hovering, constant
speed in forward flight, etc.), the acceleration vector <img
file="imgf000010_0005.tif" frnum="0001" he="7"
id="imgf000010_0005" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0004" wi="5"/> and
the temporal change of the angular momentum vector <img
file="imgf000010_0004.tif" frnum="0001" he="7"
id="imgf000010_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0005" wi="6"/> must
be zero. Thus, both the sum of all external forces (F) and the
sum of all torques around the center of mass
(M<sub>s</sub>) must be zero. The forces acting on
the aircraft in hovering flight are gravity and the thrust of
the propulsion systems.
The torques acting with respect to the centre of mass of the
aircraft are the torques generated by the thrust vectors of the
propulsion devices mounted at appropriate distances from the
centre of mass of the aircraft, as well as the (support) torques
generated by the aircraft body, all of which point substantially
in the same direction. The force and torque equilibrium can thus
be achieved by balancing the thrust forces or Thrust vectors of
the propulsion devices and their distances from the center of
mass of the aircraft are selected accordingly. Preferably, the
first number of drive devices is arranged in a front region of
the aircraft with respect to the longitudinal direction, and the
second number of drive devices is arranged in a rear region of
the aircraft with respect to the longitudinal direction.
Preferably, the aircraft comprises three propulsion devices.
Particularly preferably, the aircraft comprises four drive
devices, wherein two of the drive devices are arranged in a
front region of the aircraft with respect to the longitudinal
direction, and two further drive devices with respect to the
longitudinally in a rear area of the aircraft. The total length
of the aircraft is measured longitudinally. To simplify the
description of areas of the aircraft, the frontmost part of the
aircraft is assigned the relative longitudinal coordinate 0 and
the rearmost part of the aircraft is assigned the relative
longitudinal coordinate 100%. In this convention, the front area
is defined as corresponding to the (longitudinal) range from 0
to 40% of the total length of the aircraft, and the rear area is
defined as corresponding to the (longitudinal) range from 60% to
100% of the total length of the aircraft. Furthermore, it is
expedient if the two drive devices arranged in the front area
are located on a common straight line which is aligned parallel
to the transverse direction. It is also expedient if the two
drive devices arranged in the rear area are located on a common
straight line that is aligned parallel to the transverse
direction. Advantageously, the drive devices in the front region
are arranged along the first straight line which runs parallel
to the transverse direction, and the drive devices in the rear
region are arranged along the second straight line which runs
parallel to the transverse direction.
The centre of mass of the aircraft, when it is hovering, is
positioned longitudinally at a distance
l<sub>1</sub>from the straight line along which the
propulsion devices are arranged in the front area, where <img
file="imgf000011_0001.tif" frnum="0001" he="30"
id="imgf000011_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0006" wi="136"/>
R<sub>min</sub>is a minimum permissible ratio
between the thrust vectors of the propulsion devices arranged in
the front area, on the one hand, and the thrust vectors of the
propulsion devices arranged in the rear area, on the other hand,
R<sub>max</sub>is a maximum permissible ratio
between the thrust vectors of the propulsion devices arranged in
the front area, on the one hand, and the thrust vectors of the
propulsion devices arranged in the rear area, on the other hand,
l is the distance between the first straight line and the second
straight line, a<sub>1</sub>is an index for the
propulsion devices arranged in the front area, and
a<sub>2</sub>is an index for the propulsion devices
arranged in the rear area.
For practical purposes, the aircraft is further designed so that
the associated axes of rotation are aligned parallel during
hovering flight. Finally, it should be pointed out that the
invention does not exclude the possibility that the aircraft, in
addition to the at least two drive devices contributing to the
effect according to the invention, comprises further drive
devices which do not rotate essentially in the same direction of
rotation. According to a second aspect of the invention, an
aircraft is provided which comprises an aircraft fuselage and at
least three drive devices which are mounted around the aircraft
fuselage and which are rotatable about a respective associated
axis of rotation in order to generate a respective associated
thrust vector. The aircraft is designed to perform a hover
flight in which all forces acting on the aircraft and all
torques acting on the aircraft with respect to the center of
mass of the aircraft essentially disappear, in that in hover
flight the associated axes of rotation of two of the at least
three drive devices are aligned essentially in a first
direction, and the associated axis of rotation of a further one
of the at least three drive devices is aligned essentially in a
second direction, wherein the first direction is not parallel to
the second direction, and each of the two drive devices with
axes of rotation aligned in the first direction in hover flight
rotates essentially in the same direction of rotation about the
respectively associated axis of rotation.
For the inventive understanding of the terms “substantially
aligned in a first/second direction” and “substantially rotating
in the same direction”, reference is made to the first aspect of
the invention; the definitions given there apply accordingly to
the second aspect. The first direction is not parallel to the
second direction if a (reference) axis pointing in the first
direction is not parallel to a (reference) axis pointing in the
second direction. Preferably, the angle between the first and
second direction is in the range of 30° to 110°, preferably in
the range of 40° to 100°, particularly preferably in the range
of 60° to 95°. Preferably, the at least three drive devices are
mounted around the aircraft fuselage substantially in one plane.
It is practical if the aircraft fuselage lies in the plane, i.e.
the plane intersects the aircraft fuselage. Furthermore, it is
advantageous if the first direction and the second direction are
in the plane.
Here, “substantially supported in one plane” means that the
drive devices or their support points do not have to be
contained in one plane in exactly the same way. It is also
according to the invention if one or more of the drive devices
are pivoted out of the plane and/or the drive devices are
vertically offset with respect to the plane. Advantageously, the
vertical offset is limited by the vertical extension of the
aircraft fuselage, i.e., the drive devices are advantageously
mounted in such a way that the axes of rotation of the drive
devices are contained in the spatial region formed between two
horizontal planes which touch the aircraft fuselage and are
spaced apart from one another by the vertical extension of the
aircraft fuselage. The vertical extension is related to the
direction of gravity when the aircraft is resting on the (flat)
ground. Preferably, each of the axes of rotation of the two of
the at least three drive devices aligned substantially in the
first direction is aligned such that it is substantially
parallel to a straight line running through the two drive
devices.
It is useful if the straight line is placed through the
geometric centers (the term is explained below) or bearing
points of the drive devices. According to the invention, an axis
of rotation is substantially parallel to a straight line if the
angle enclosed between the axis of rotation and the straight
line is less than 45°, preferably less than 30°, particularly
preferably less than 15°. Particularly preferably, the aircraft
according to the second aspect of the invention comprises at
least four drive devices which are mounted around the aircraft
fuselage and which are rotatable about a respective associated
axis of rotation in order to generate a respective associated
thrust vector. The aircraft is designed to perform hovering
flight in that, during hovering flight, the associated axes of
rotation of two of the at least four drive devices are directed
essentially in the first direction are aligned, and the
associated axes of rotation of two further ones of the at least
four drive devices are aligned substantially in the second
direction, wherein each of the two drive devices with axes of
rotation aligned in the first direction during hovering rotates
substantially in the same direction of rotation about the
respectively associated axis of rotation, and/or each of the two
drive devices with axes of rotation aligned in the second
direction during hovering rotates substantially in the same
direction about the respectively associated axis of rotation.
The advantages that the aircraft according to the second aspect
of the invention brings with it over the prior art basically
correspond to those that have already been described in
connection with the aircraft of the first aspect of the
invention; in order to avoid repetition, reference is therefore
first made to the explanations therein, in particular to the
utilization of the positive contribution of the Magnus effect in
the case of drive devices rotating in the same direction. In
connection with the latter contributions of the Magnus effect,
when arranging the propulsion systems around the aircraft
fuselage – also referred to below as a “star-shaped” arrangement
– it must be taken into account that in forward flight, as a
rule, only a part of the propulsion systems is exposed to air
flow in the direction of flight. Thus, the Magnus effect in
forward flight is most pronounced in those propulsion devices
whose axes of rotation are aligned essentially perpendicular to
the direction of flight due to the essentially equal rotational
rotation.
That is, in the arrangement of the drive devices according to
the second aspect of the invention, it is sufficient if the
aircraft is configured such that, in hovering flight, each of
the two drive devices with axes of rotation aligned in the first
direction in hovering flight rotates substantially in the same
direction of rotation about the respectively assigned axis of
rotation, or, in the case of at least four drive devices, each
of the two drive devices with axes of rotation aligned in the
second direction in hovering flight rotates substantially in the
same direction of rotation about the respectively assigned axis
of rotation. In this case, it is possible that the two drive
devices, which do not rotate in substantially the same
direction, rotate in opposite directions. If these two drive
devices rotate in opposite directions, the torque cancels itself
out. However, it is particularly advantageous that the aircraft,
if it comprises at least four drive devices, is configured such
that in hovering flight each of the two drive devices with axes
of rotation aligned in the first direction
rotates substantially in the same direction of rotation about
the respectively associated axis of rotation, and each of the
two drive devices with axes of rotation aligned in the second
direction during hovering rotates substantially in the same
direction of rotation about the respectively associated axis of
rotation. This ensures that the aircraft can exploit the
positive effect of the Magnus effect during forward flight in
both the first and second directions. This makes the aircraft
more flexible and stable when changing direction. Particularly
preferably, the aircraft is further designed such that, in
hovering flight, the center of mass of the aircraft is
positioned in such a way that all forces acting on the aircraft
and all torques acting on the aircraft with respect to the
center of mass of the aircraft essentially disappear when one or
more of the drive devices generate a specific predetermined
thrust vector assigned to them.
This instruction imposes the restriction that the centre of mass
of the aircraft must be within a range determined by the ability
of the aircraft to hover when one or more of the propulsion
devices are driven at maximum thrust or maximum thrust vector.
In other words, if the center of mass is within the said area,
the propulsion devices are able to generate corresponding thrust
vectors so that the aircraft can perform hovering. It is
preferred if each of the axes of rotation of the two of the at
least four drive devices aligned substantially in the first
direction is aligned such that it runs substantially parallel to
a straight line running through the two drive devices. It is
also preferred if each of the axes of rotation of the two
further drive devices of the at least four drive devices, which
axes are aligned substantially in the second direction, is
aligned such that it runs substantially parallel to a straight
line which runs through these two further drive devices.
It is useful if the straight lines are placed through the
geometric centers or bearing points of the drive devices. As in
the first aspect of the invention, the compensation of the
force(s) generated by the drive devices rotating essentially in
the same direction is carried out torque or Torques are reduced
according to the invention in that the center of mass of the
aircraft is positioned in such a way that, taking into account
the predetermined thrust vectors assigned to the drive devices
in each case, all forces acting on the aircraft and all torques
acting on the aircraft with respect to the center of mass of the
aircraft essentially disappear. In order to achieve a stable
flight position in hovering and forward flight, the balance of
all forces and torques acting on the aircraft must be achieved.
The calculation is carried out using the momentum and angular
momentum theorems, which have already been stated and described
in connection with the first aspect of the invention.
The statements made there apply here accordingly, and this will
be explained in more detail below. It is advantageous if three
propulsion devices are arranged around the aircraft fuselage in
such a way that they form the corners of a triangle, preferably
an equilateral triangle. Conveniently, the aircraft fuselage is
located in the geometric center of the triangle. The first
direction is defined by a straight line on which two of the
three drive devices lie; the second direction is essentially
perpendicular to the first direction. Furthermore, the axis of
rotation of each of the two drive devices lying on the straight
line pointing in the first direction encloses an angle with said
straight line which lies in the range between 0° and 45°,
expediently between 0° and 30°. The geometric center corresponds
to the average of all points within the triangle (i.e. the
average over the area of the triangle with constant density). If
the angle between the axis of rotation(s) and the straight line
pointing in the first direction is set to 30°, the axis of
rotation(s) of the drive devices point(s) towards (or away from)
the geometric centre.
However, the angle can also be selected differently for each of
the drive devices. It is useful if the straight line is placed
through the geometric centers or bearing points of the drive
devices. It is advantageous if n propulsion devices are arranged
around the aircraft fuselage in such a way that they form the
corners of an n-gon, n > 3, expediently the corners of a
regular n-gon, n > 3. Conveniently, the aircraft fuselage is
located in the geometric center of the n-gon. The first
direction is defined by a first straight line on which two of
the n drive devices lie; the second direction is defined by a
second straight line is defined on which two more of the n drive
devices lie. The axis of rotation of each of the two drive
devices lying on the first straight line pointing in the first
direction encloses an angle with the first straight line which
lies in the range between 0° and 45°, expediently between 0° and
30°, expediently in the range between 0° and 20°, particularly
preferably in the range between 0° and 18°.
The rotation axes of different drive devices can enclose
different angles with the first straight line. It is also
expedient if the axis of rotation of each of the two drive
devices lying on the second straight line pointing in the second
direction encloses an angle with the second straight line which
lies in the range between 0° and 45°, expediently between 0° and
30°, expediently in the range between 0° and 20°, particularly
preferably in the range between 0° and 18°. The rotation axes of
different drive devices can enclose different angles with the
second straight line. If the angles are chosen as mentioned
above, it is possible that the axes of rotation of the drive
devices point towards the geometric center of the n-gon (or away
from it). This particularly preferably means that the aircraft
comprises 3, 4, 5, 6, 7, 8, ... drive devices which are arranged
around the aircraft fuselage in such a way that they form the
corners of an equilateral triangle, a square, a regular 5-, 6-,
7-gon, or regular 8-gon, etc.
The aircraft fuselage is expediently positioned essentially in
the center of the n-gon, whereby the geometric center, but not
the center of mass, of the n-gon is taken into account; because
according to the invention the center of mass of the aircraft
does not necessarily have to coincide with the geometric center
(geometric center of gravity). The geometric center of an n-gon
is defined according to the geometric center of the triangle. It
is useful to have n = 2j, j > 1. Then it is further expedient
that the aircraft fuselage is located between two opposite
propulsion devices of the regular 2j-gon. In this case, it is
advantageous if the two axes of rotation assigned to specific
opposite drive devices each extend essentially in the direction
defined by a straight line on which the two specific opposing
drive devices lie. Furthermore, it is advantageous if the
aircraft is designed to perform hovering flight in that, during
hovering flight, two opposing drive devices rotate essentially
in the same direction about their associated axis of rotation.
In this case, j directions according to the invention can then
be defined. Advantageously, the angle between the first straight
line and the second straight line is in the range between 60°
and 100°, preferably between 60° and 90°, particularly
preferably between 70° and 90°, particularly preferably between
72° and 90°. As shown later, for a regular (2j + 1)-gon, j >
1, it is particularly advantageous to choose the first line and
the second line (or corresponding directions) such that the
angle between the first line and the second line is 90° (1 –
1/(2j + 1)). For an (arbitrary) (2j + 1)-gon, a particularly
preferred range for the angle between the first and second lines
is given by: [90°Â (1 – 1/(2j + 1)); 90°]. If the angles between
the axes of rotation of the drive devices arranged along the
first straight line and the first straight line are in the range
[0°; 90°/(2j + 1)], and/or the angles between the axes of
rotation of the drive devices arranged along the second straight
line and the second straight line are in the range [0°; 90°/(2j
+ 1)], configurations can be implemented in which the axes of
rotation of the drive devices point in the direction of the
geometric center of the (2j + 1) corner (or away from it).
In the case of a regular 2j-gon, j > 1, it is convenient to
choose the first line and the second line so that they enclose
an angle of 90° – 90°/(2j) Â (2j mod 4). Then the first and
second lines each pass through the geometric center of the
2j-gon. For an (arbitrary) 2j-gon, a particularly preferred
range for the angle between the first and second lines is given
by: [90° – 90°/j; 90°]. If the first straight line and the
second straight line are determined such that the angle between
them is in the range [60°; 90°], and the angles between the axes
of rotation of the drive devices arranged along the first
straight line and the first straight line are in the range [0°;
30°], and/or the angles between the axes of rotation of the
drive devices arranged along the second straight line and the
second straight line are in the range [0°; 30°], the propulsion
devices are arranged in an (arbitrary) regular n-gon (n > 2)
around the aircraft fuselage, so that the axes of rotation of
the propulsion devices are aligned towards the geometric center
(or away from it).
If n > 3 is to be considered, it is sufficient if the angle
between the axis of rotation of a drive device and the first or
second straight line passing through it lies in the range [0°;
18°]. Conveniently, the second direction is substantially
perpendicular, particularly preferably: perpendicular, to the
first direction, and two of the at least four drive devices are
arranged along the first direction, and the two further of the
at least four drive devices are arranged along the second
direction which is substantially perpendicular to the first
direction. This is an example where the propulsion devices can
be arranged around the aircraft fuselage at the corners of a
square. Preferably, the center of mass of the aircraft, when it
is hovering, is positioned in the first direction at a distance
l<sub>34</sub>from a straight line along which the
drive devices are arranged in the second direction, with <img
file="imgf000019_0001.tif" frnum="0001" he="37"
id="imgf000019_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0007" wi="92"/>
where R<sub>min</sub>is a minimum permissible ratio
between the thrust vectors of the drive devices arranged along
the first direction, R<sub>max</sub>is a maximum
permissible ratio between the thrust vectors of the drive
devices arranged along the first direction,
a<sub>34</sub>is an index for the drive devices
arranged along the second direction, and l is the distance
between the geometric centers of the drive devices arranged in
the first direction.
Preferably, the center of mass of the aircraft, when it is
hovering, is positioned in the second direction at a distance
l<sub>12</sub> from a straight line along which the
drive devices are arranged in the first direction, with <img
file="imgf000020_0001.tif" frnum="0001" he="38"
id="imgf000020_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0008" wi="97"/>
wherein <img file="imgf000020_0002.tif" frnum="0001" he="8"
id="imgf000020_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0009" wi="15"/> is
a minimum permissible ratio between the thrust vectors of the
drive devices arranged along the second direction, a<img
file="imgf000020_0003.tif" frnum="0001" he="8"
id="imgf000020_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0010" wi="15"/> is
a maximum permissible ratio between the thrust vectors of the
drive devices arranged along the second direction,
a<sub>12</sub> is an index for the drive devices
arranged along the first direction, and
l<sup>'</sup> is the distance between the geometric
centers of the drive devices arranged in the second direction.
It may be advantageous for both the aircraft according to the
first aspect and that according to the second aspect to carry
out hovering flight with approximately equal assigned specific
predetermined thrust vectors. Likewise, it may be advantageous
in each of the aircraft of the first or second aspect if it
further comprises a displacement device with which the center of
mass of the aircraft can be displaced. For this purpose, the
aircraft expediently further comprises a fuel tank for supplying
the drive devices with fuel and/or a battery for supplying the
drive devices with electrical energy, wherein the displacement
device is designed to displace fuel from the fuel tank or the
battery within the aircraft in order to position the center of
mass in such a way that the aircraft performs hovering flight
when one or more of the drive devices generate the respectively
associated specific predetermined thrust vector.
The center of mass of the aircraft can therefore be shifted
dynamically. The advantage is that the center of gravity of the
aircraft can be adjusted to various flight positions can be
optimally adapted accordingly. The shift in the center of mass
can be accomplished by aircraft control. Preferably, the
aircraft according to the first or second aspect comprise a
thrust vector control to individually control the thrust vectors
of the propulsion devices. According to a third aspect of the
invention, a method for producing an aircraft according to the
first aspect of the invention is provided, comprising the
following steps: - positioning the center of mass of the
aircraft in such a way that one or more of the drive devices
generate a specific predetermined thrust vector assigned to them
in each case, so that the aircraft performs a hover flight in
which all forces acting on the aircraft and all torques acting
on the aircraft with respect to the center of mass of the
aircraft essentially disappear when - each of the associated
axes of rotation is aligned essentially in the transverse
direction of the aircraft body, and - each of the at least two
drive devices rotates essentially in the same direction of
rotation about the respectively associated axis of rotation.
According to a fourth aspect of the invention, a method for
producing an aircraft according to the second aspect of the
invention is provided, comprising the following steps: -
positioning the center of mass of the aircraft in such a way
that one or more of the drive devices generate a specific
predetermined thrust vector assigned to them in each case, so
that the aircraft performs a hover flight in which all forces
acting on the aircraft and all torques acting on the aircraft
with respect to the center of mass of the aircraft essentially
disappear when - the associated axes of rotation of two of the
at least three drive devices are aligned essentially in the
first direction, and the associated axis of rotation of a
further one of the at least three drive devices is aligned
essentially in the second direction, and - each of the two
propulsion devices with axes of rotation aligned in the first
direction during hovering rotates substantially in the same
direction of rotation about the respectively associated axis of
rotation.
In the preferred case that the aircraft comprises at least four
drive devices, the associated axes of rotation of two of the at
least four drive devices are aligned substantially in the first
direction, and the associated axes of rotation of two further
ones of the at least four drive devices are aligned
substantially in the second direction, and each of the two drive
devices with axes of rotation aligned in the first direction
during hovering rotates substantially in the same direction of
rotation about the respectively associated axis of rotation,
and/or each of the two drive devices with axes of rotation
aligned in the second direction during hovering rotates
substantially in the same direction of rotation about the
respectively associated axis of rotation. According to a fifth
aspect of the invention, a method is provided for controlling an
aircraft with an aircraft body which defines a longitudinal
direction, a vertical direction and a transverse direction, the
longitudinal direction corresponding to the direction from the
tail to the nose of the aircraft, the vertical direction
corresponding to the direction of gravity when the aircraft is
resting on the ground, and the transverse direction being
perpendicular to the longitudinal direction and the vertical
direction, and at least two drive devices which are rotatable
about a respectively associated axis of rotation in order to
generate a respectively associated thrust vector, a first number
of drive devices being arranged along a first straight line
which runs parallel to the transverse direction, and a second
number of the drive devices being arranged along a second
straight line which runs parallel to the transverse direction,
the first straight line being spaced from the second straight
line, and the center of mass of the aircraft being positioned
between the first straight line and the second straight line
with respect to the longitudinal direction.
The method comprises the following steps: - determining the
associated thrust vectors such that the aircraft performs a
hover flight when each of the axes of rotation associated with
the at least two drive devices is aligned substantially in the
transverse direction of the aircraft body, and each of the at
least two drive devices rotates substantially in the same
direction of rotation about the respectively associated axis of
rotation, wherein, in hovering flight, all forces acting on the
aircraft and all torques acting on the aircraft with respect to
the centre of mass of the aircraft essentially disappear, -
driving each of the drive devices essentially in the same
direction of rotation such that the respective drive device
generates the specific associated thrust vector. According to a
sixth aspect of the invention, a method is provided for
controlling an aircraft with an aircraft fuselage and at least
three drive devices which are mounted around the aircraft
fuselage and which are each rotatable about an associated axis
of rotation in order to generate a respective associated thrust
vector, which comprises the following steps: - determining the
associated thrust vectors in such a way that the aircraft
performs a hover flight when two of the axes of rotation
associated with the at least three drive devices are aligned
essentially in the first direction and rotate essentially in the
same direction of rotation about the respective associated axis
of rotation, and/or another of the axes of rotation associated
with the at least three drive devices is aligned essentially in
a second direction which is not parallel to the first direction,
wherein in hover flight all forces acting on the aircraft and
all torques acting on the aircraft with respect to the center of
mass of the aircraft essentially disappear, - aligning the
associated axes of rotation of two of the at least three drive
devices essentially in the first direction, and aligning the
associated axis of rotation of the other of the at least three
drive devices substantially in the second direction, - driving
each of the drive devices such that the respective drive device
rotates in an associated direction of rotation and generates the
particular associated thrust vector, wherein each of the drive
devices with axes of rotation aligned substantially in the first
direction rotates substantially in the same direction of
rotation about the respectively associated axis of rotation.
Preferably, the method is provided for controlling an aircraft
with at least four drive devices and comprises the following
steps: - determining the associated thrust vectors such that the
aircraft performs a hover flight when two of the axes of
rotation assigned to the at least four drive devices are aligned
essentially in a first direction and rotate essentially in the
same direction of rotation about the respectively assigned axis
of rotation, and/or two further axes of rotation assigned to the
at least four drive devices are aligned essentially in a second
direction that is not parallel to the first direction and rotate
essentially in the same direction of rotation about the
respectively assigned axis of rotation, wherein in hover flight
all forces acting on the aircraft and all torques acting on the
aircraft with respect to the center of mass of the aircraft
essentially disappear, - aligning the associated axes of
rotation of two of the at least four drive devices essentially
in the first direction, and aligning the associated axes of
rotation of the two further ones of the at least four drive
devices essentially in the second direction, - driving each of
the drive devices such that the respective drive device rotates
in an associated direction of rotation and generates the
determined associated thrust vector, wherein each of the drive
devices with axes of rotation aligned substantially in the first
direction rotates substantially in the same direction of
rotation about the respectively associated axis of rotation
and/or each of the two drive devices with axes of rotation
aligned substantially in the second direction rotates
substantially in the same direction of rotation about the
respectively associated axis of rotation.
Preferably, in the methods for controlling an aircraft according
to the fifth or sixth aspect, all of the determined associated
thrust vectors are selected to be approximately identical.
Advantageously, the methods for controlling an aircraft
according to the fifth or sixth aspect further comprise the
following step: - positioning the center of mass of the aircraft
in such a way that all forces acting on the aircraft and all
forces relating to the The torques acting on the aircraft due to
the centre of mass of the aircraft essentially disappear when
the propulsion devices generate the specific predetermined
thrust vector assigned to them. The advantages of the methods
according to the third to sixth aspects of the invention are the
same as those already described in connection with the aircraft
according to the invention according to the first and second
aspects. The expedient, advantageous and preferred embodiments
of the first and second aspects therefore apply accordingly to
the third to sixth aspects of the invention.
Preferably, in the aircraft or method according to any of the
aspects of the invention, each of the drive devices is
structurally identical. Particularly preferably, for any
aircraft or method according to any of the aspects of the
invention, the propulsion devices comprise cyclogyro rotors.
Each cyclogyro rotor expediently comprises a plurality of rotor
blades which can be rotated along a circular path about the
respectively associated axis of rotation of the drive device or
of the cyclogyro rotor; a pitch mechanism with a coupling device
and a bearing device, wherein each of the plurality of rotor
blades is pivotally mounted by the bearing device about its
rotor blade bearing axis parallel to the axis of rotation of the
drive device or of the cyclogyro rotor. Furthermore, the
cyclogyro rotor expediently comprises an offset device to which
each rotor blade is coupled by the coupling device at a
connection point assigned to it.
The offset device defines an eccentric bearing axis that is
mounted at an adjustable offset distance parallel to the axis of
rotation of the drive device or the cyclogyro rotor. As a
result, the rotation of the rotor blades along the circular path
around the axis of rotation of the drive device or the cyclogyro
rotor causes a pitch movement of the rotor blades if the offset
distance is set to a value other than zero. In general, however,
the requirement for the lift force of an aircraft is largely
constant, and an increase is usually not needed, since the main
purpose here is to counteract gravity. With the help of the
offset device, however, the thrust force can be reduced due to
the increase, which results in a reduced power consumption of
the rotor. In the following, preferred embodiments of the
present invention are described with reference to the following
figures. They show: Figure 1: a perspective view of an aircraft
according to the first aspect of the invention; Figure 2a: a
schematic representation of a drive device and the forces and
torques acting on it; Figure 2b: a schematic representation of a
drive device in forward flight of the aircraft and the forces
and torques acting on it, taking into account an incoming flow;
Figure 3a: a schematic representation of the aircraft according
to the first aspect of the invention in plan view; Figure 3b: a
schematic representation of the aircraft according to the first
aspect of the invention and the forces and torques acting on it
in side view; Figure 3c: an example configuration of an aircraft
with four parallel and equally sized drive devices to illustrate
the preferred center of mass position of the aircraft; Figure 4:
a schematic representation of the aircraft according to the
first aspect of the invention in plan view to generalize the
conditions for a stable flight position; Figure 5: a perspective
view of a drive device according to the invention; Figure 6: a
perspective view of an aircraft according to the second aspect
of the invention;
Figure 7a: a schematic representation of the aircraft according
to the second aspect of the invention in plan view and of the
forces and torques acting on it; Figure 7b: a schematic
representation of the aircraft in a configuration according to
the invention according to the second aspect of the invention
and of the forces and torques acting on it in a first side view;
Figure 7c: a schematic representation of the aircraft in a
configuration according to the invention according to the second
aspect of the invention and of the forces and torques acting on
it in a second side view; Figure 7d: an example configuration of
an aircraft according to the second aspect of the invention with
four drive devices arranged in a star shape and of equal size to
illustrate the preferred center of mass position of the
aircraft; Figure 8a: a section of an aircraft with n drive
devices according to the second aspect of the invention in plan
view to explain the determination of the center of mass; Figure
8b: a section of the aircraft with n drive devices in side view;
Figure 9a: a schematic representation of an aircraft according
to the second aspect of the invention with three drive devices;
Figure 9b: a schematic representation of an aircraft according
to the second aspect of the invention with seven drive devices;
Figure 9c: a schematic representation of an aircraft according
to the second aspect of the invention with six drive devices.
Figure 1 shows a perspective view of an aircraft 100 according
to the first aspect of the invention with an aircraft body 120
and several drive devices 1F, 1R. Each the drive devices 1F, 1R
can be mounted on the aircraft body 120 using appropriate
mounting or storage devices. The illustrated aircraft 100 can
be, for example, an aircraft, a manned aircraft, a drone or a
so-called Micro Air Vehicles (MAVs) trade. To further describe
the aircraft, a coordinate system is introduced which has a
longitudinal direction 101 or 102. Longitudinal axis, a
transverse direction 102 or Transverse axis and a vertical
direction 103 respectively. vertical axis defined. The
coordinate system should be firmly anchored to the aircraft 100.
The reference directions 101, 102, 103 or axes are defined as
follows: The longitudinal direction 101 corresponds to the
direction from the tail 122 to the nose 121 of the aircraft 100.
In the embodiment shown in Fig.1, the longitudinal direction 101
is thus in a horizontal plane (parallel to the ground when the
aircraft 100 is resting on the ground), and extends from the
tail 122 (i.e. the rear part) of the aircraft 100 to the bow
121, or nose 121, (i.e. the front part) of the aircraft 100.
The vertical direction 103 or axis corresponds to the direction
of gravity when the aircraft 100 rests on the (flat) ground. In
other words: the vertical direction 103 is perpendicular to the
above-mentioned horizontal plane, which includes the
longitudinal direction 101. The transverse direction 102 or axis
is perpendicular to both the longitudinal direction 101 and the
vertical direction 103. In other words: the transverse direction
102 lies in the above-mentioned horizontal plane, which includes
the longitudinal direction 101, and is perpendicular to the
longitudinal direction 101. The aircraft 100 shown has four
propulsion devices 1F, 1R. The drive devices 1F, 1R shown are
cyclogyro rotors. The aircraft 100 shown in Fig. 1 can therefore
also be referred to as a cyclogyro. The drive devices are
described in more detail in connection with Figure 5. Each of
these drive devices 1F, 1R is mounted so as to be rotatable
about an axis of rotation 5 assigned to it. Each drive device
1F, 1R comprises several rotor blades 2 which are pivotably
mounted about their longitudinal axis.
This allows the angle of inclination of the rotor blades 2 to be
varied during the rotation of the drive device 1F, 1R. By
controlling the rotation speed (hereinafter also referred to as
rotation speed) of the drive devices 1F, 1R and controlling the
inclination angle of the rotor blades 2 the magnitude and
direction of the generated thrust force or the thrust vector
describing it can be varied. In Fig.1 it can be seen that two of
the four drive devices 1F are arranged in the front (bow) area
of the aircraft 100, two further drive devices 1R in the rear
(tail) area of the aircraft 100. The front and rear areas of the
aircraft are defined as follows: The total length of the
aircraft is measured in the longitudinal direction 101; the
frontmost part of the aircraft (i.e. the nose 121 of the
aircraft 100) is assigned the relative longitudinal coordinate
0, the rearmost part 122 of the aircraft 100 is assigned the
relative longitudinal coordinate 100%. In this convention, the
front part or
Area is defined as corresponding to the (longitudinal) range
from 0 to 40% of the total length of the aircraft, the rear part
or Range that corresponds to the (longitudinal) range from 60%
to 100% of the total length of the aircraft. The two drive
devices 1F in the front area lie on a common straight line that
runs parallel to the transverse direction 102 or axis; likewise,
the two drive devices 1R in the rear area lie on a common
straight line that runs parallel to the transverse direction 102
or axis. It should be noted that the straight lines mentioned do
not necessarily have to be a common axis of rotation to which
the drive devices are (rigidly) coupled. Each drive device 1F,
1R can rotate via its own axis of rotation 5 assigned to it, and
it is also possible for each of the drive devices 1 to be
controlled individually, in particular to control its rotational
speed separately. Furthermore, according to the invention it is
not necessary for all drive devices 1F, 1R to be located in the
same horizontal plane.
As shown in Fig. 1, it may be expedient if the two drive devices
1R in the rear area of the aircraft are arranged higher than the
two drive devices 1F in the front area. This has the advantage
that the propulsion devices 1R in the rear area receive a better
airflow and are less affected by the air eddies and turbulence
caused by the propulsion devices 1F in the front area. In the
embodiment of Fig.1, the rotation axes 5 assigned to the drive
devices 1F, 1R are aligned parallel to the transverse direction
102. According to the invention, however, it is not absolutely
necessary that all axes of rotation 5 are parallel to each other
get lost. It is already according to the invention if each of
the associated axes of rotation 5 is aligned substantially in
the transverse direction 102 of the aircraft body 120. According
to the invention, an axis of rotation 5 is aligned substantially
in the transverse direction 102 of the aircraft body 120 if the
angle enclosed between the axis of rotation 5 and an axis which
runs in the transverse direction and intersects the axis of
rotation 5 is less than 45°, preferably less than 30°,
particularly preferably less than 15°.
The term “substantially aligned in the transverse direction”
does not therefore exclude the possibility that the axes of
rotation 5 are also exactly parallel to one another. The
aircraft 100 according to the invention is designed such that it
can perform a hover flight by rotating each of the four drive
devices 1F, 1R shown in the same direction of rotation about the
respectively associated axis of rotation 5. The resulting design
limitations for the aircraft 100 are explained in connection
with the other figures, in particular figures 3a and 3b. In the
generalized case that the axes of rotation 5 are aligned
substantially in the transverse direction 102 of the aircraft
body 120, the invention requires that each of the drive devices
1 rotates substantially in the same direction of rotation about
the axis of rotation 5 assigned to it. As already explained in
detail in the introduction, this is fulfilled if the scalar
product of the vector of the angular velocity of a specific
drive device 1F, 1R and a fixed but arbitrary vector pointing in
the transverse direction 102 has the same sign for all drive
devices 1R, 1F.
Figure 2a illustrates the force 7 and the torque 8 acting on a
drive device 1 rotating at a certain rotational speed about a
rotation axis 5. In Fig. 2a only the front view of the drive
device 1 is shown, schematically. In the case shown, it is
assumed that no air flows through the drive device 1. In the
case shown, the drive device 1 rotates clockwise. The angular
velocity vector corresponding to this rotation thus points into
the plane of the paper (according to the right-hand rule). The
thrust vector F, 7 acting on the drive device 1 is perpendicular
to the axis of rotation 5 of the drive device 1. If cyclogyro
rotors are used as propulsion devices 1, the thrust vector F, 7
is determined by the periodic adjustment of the rotor blades of
the Cyclogyro rotors are produced. With the help of an offset
device of the cyclogyro rotor, the periodic rotor blade
adjustment can be changed and thus the thrust vector can be
rotated in the entire plane which is normal to the axis of
rotation 5 of the cyclogyro rotor and the amount of the thrust
vector can be changed.
For this purpose, a thrust vector control is conveniently used.
In addition to the thrust vector F, 7, the drive device 1
generates a torque M, 8 about the axis of rotation 5 against the
direction of rotation 51. This torque M, 8 about the axis of
rotation 5 results from the air forces (lift and drag forces),
or their tangential components, of the drive device 1; in the
case of a cyclogyro rotor, the air forces are primarily due to
the rotating rotor blades. In order to maintain a constant
rotational speed, the drive device 1 must therefore generate a
(drive) torque that counteracts the torque resulting from the
air forces. However, in order for the drive device 1 to be able
to generate such a (drive) torque also during the flight phase,
a further torque M, 8 is required, which the aircraft body must
apply (according to the principle actio = reactio) in order to
“support” the drive device 1 in the air. In order to maintain a
constant rotational speed against the air forces, this latter
torque M, 8 is (neglecting dissipative effects) approximately
equal in magnitude to the torque generated by the air forces,
and also points in the same direction as the latter.
Since the torque generated by the air forces counteracts the
direction of rotation 51 of the drive device 1, the torque M, 8
applied by the aircraft body also counteracts the direction of
rotation 51 of the drive device 1. Assuming that the torque due
to the air forces and that of the propulsion device are
essentially equal in magnitude but oppositely directed, the
torque M, 8 applied by the aircraft body remains as the net
torque due to the rotation of the propulsion device 1. This
torque M, 8 is therefore equivalent to the drive torque of the
drive device 1. The torque M, 8 can therefore be directly
related to the magnitude of the thrust vector F, 7. The design
limitations of the aircraft according to the invention already
mentioned in connection with Figure 1 and further described with
regard to Figures 3a and 3b can therefore be overcome by using a
mathematical-physical relation between the torque M, 8 and the
thrust vector F, 7.
Mathematically (and physically) the relationship between the
thrust force or corresponding thrust vector F, 7 and the (drive)
torque M, 8 can be explained based on general equations of a
propeller. Due to the position of the rotor blades in relation
to the axis of rotation, a classic propeller differs from a
cyclogyro rotor, but in both concepts the thrust generation is
based on the targeted displacement of air in one direction by
the rotor blades. The equations used below are derived in the
appendix to this description for the sake of completeness.
First, we consider the power required to displace the air. This
performance P<sub>Luft</sub>can be obtained from the
so-called beam theory (see Appendix), which leads to the
following expression: (1) <img file="imgf000032_0001.tif"
frnum="0001" he="10" id="imgf000032_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0011"
wi="35"/> where F is the magnitude of the thrust vector and
V<sub>a</sub>is the total flow velocity of the air
in the plane of the propulsion device.
The plane of the drive device is a plane that passes through the
axis of rotation of the drive device and is perpendicular to the
direction of air flow and thus to the thrust vector F. This
power is provided via the drive device 1. First, the general
power P<sub>Antrieb</sub>of the drive device is:
<img file="imgf000032_0002.tif" frnum="0001" he="9"
id="imgf000032_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0012" wi="39"/> (2)
where M is the magnitude of the (drive) torque M, 8 and ω is the
rotational speed (magnitude of the angular velocity vector) of
the drive device 1. The relationship between the two powers
P<sub>Luft</sub>and
P<sub>Antrieb</sub>can be described via the
efficiency η as follows: (3) <img file="imgf000032_0003.tif"
frnum="0001" he="10" id="imgf000032_0003" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0013"
wi="42"/> The efficiency η indicates how effectively the
drive power P<sub>Antrieb</sub>is converted into an
air flow.
The ratio between the rotational speed ω and radius r, 52 of the
drive device 1, on the one hand, and the total flow velocity
V<sub>a</sub>, on the other hand, is a dimensionless
characteristic of the drive device 1 and is denoted here by H
(in the case of propellers this is usually called "progression
degree"): (4) <img file="imgf000033_0001.tif" frnum="0001"
he="13" id="imgf000033_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0014"
wi="28"/> The relationship between the (drive) torque M, 8
and the thrust force or the thrust vector F, 7 can then be
established starting from equation (3) and inserting the
formulas (1), (2) and (4). (5) <img
file="imgf000033_0002.tif" frnum="0001" he="13"
id="imgf000033_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0015" wi="32"/>
This relationship only depends on the parameters H, r and η of
the drive device 1.
The relationship between (the amounts of) (drive) torque M, 8
and thrust or Thrust vector F, 7 can therefore be described as a
linear function with a general proportionality factor a: <img
file="imgf000033_0003.tif" frnum="0001" he="8"
id="imgf000033_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0016" wi="27"/> (6)
This relationship will be used later. Figure 2b shows
schematically a propulsion device 1 in forward flight. The
direction of movement of the aircraft, which comprises the drive
device 1 shown, is indicated by the arrow 110. The torque M, 8,
which corresponds to the drive torque of the drive device 1, has
already been described in connection with Figure 2a. It is shown
that the drive device 1 is supplied with air from the outside 9.
The inflow 9 of air changes the aerodynamic properties of the
propulsion device 1 and thus the properties of the generated
thrust vector.
If the aircraft and thus the propulsion device 1 is in forward
flight, the propulsion device 1 is actively supplied with air
from the front. As already explained in the introduction, the
changed properties of the drive device 1 can be approximately
explained by the Magnus effect, which states that a rotating
round body in a flow experiences a transverse force normal to
the flow direction. The direction of the transverse force
depends on the direction of rotation 51 of the body, here, the
drive device 1. Due to the Magnus effect, in addition to the
thrust force described with respect to Figure 2a, the vertical
component of which is designated F<sub>rotor</sub>,
71 in Figure 2b, an additional thrust force or an additional
contribution F<sub>magnus</sub>, 72 to the thrust
vector in the vertical direction is generated. This means that
the entire thrust force acting in the vertical direction, the
so-called buoyancy force of the propulsion device 1 is
increased. In general, however, the requirement for the lift
force of an aircraft is largely constant and an increase is
usually not needed, since the main purpose here is to counteract
the force of gravity.
Due to the noticeable contribution
F<sub>magnus</sub>, 72 to the thrust vector during
forward flight, the contribution F<sub>rotor</sub>,
71 of the thrust vector generated by the propulsion device 1 can
be reduced. This is associated with a reduced power consumption
of the drive device 1. Put simply, the Magnus effect replaces
part of the thrust of the propulsion device 1 and thus reduces
the power requirement in forward flight compared to hovering
flight. However, if the propulsion device 1 were to rotate in
the opposite direction with a constant flow 9, the additional
transverse force F<sub>magnus</sub>, 72 of the
Magnus effect would act against the thrust force
F<sub>rotor</sub>, 71 and thus reduce the total
thrust force or increase the power requirement while the same
lift force is required. In the aircraft according to the
invention, the described positive effect of the Magnus effect is
exploited in that during hovering and forward flight of the
aircraft all drive devices rotate in the same direction about
the associated axes of rotation.
In a generalized arrangement with axes of rotation aligned
substantially in the transverse direction of the aircraft body,
the drive devices rotate substantially in the same direction of
rotation, as explained in more detail above. If the propulsion
devices 1 rotate in essentially the same direction of rotation
about the respective associated axis of rotation, the
contribution to the lift force by the transverse force
F<sub>magnus</sub>, 72 becomes greater the faster
the aircraft flies in forward flight. This means that it is
sufficient to configure the aircraft in hover mode, where the
The air flow velocity 9 is usually at its lowest in order to
ensure a stable flight attitude of the aircraft during forward
flight. The conditions for a stable flight attitude in hovering
flight and in forward flight (equilibrium of all forces and
torques acting on the aircraft) have already been generally
stated in the introduction; in the following, in connection with
Figures 3a and 3b, design restrictions for the aircraft
according to the first aspect of the inventions are derived from
these conditions.
In Figure 3a, an aircraft 100 according to the first aspect of
the invention is shown in a highly schematic representation in
plan view. In addition to the aircraft body 120 already
described in connection with Figure 1, the drive devices 1F and
1R, the axes of rotation 5 and the longitudinal direction 101
and transverse direction 102 assigned to them, the center of
mass S, 150 of the aircraft 100 can also be seen. The location
or Positioning of the center of mass S, 150 is of central
importance for compensating the equally directed torques caused
by the drive devices 1 rotating in essentially the same
direction of rotation. This is described in more detail with
regard to Figure 3b. Figure 3b shows the aircraft shown in plan
view in Figure 3a according to the first aspect of the invention
in side view and in a highly schematic representation. In this
side view, only one of the two propulsion devices 1F arranged in
the front area of the aircraft and one of the two propulsion
devices 1R arranged in the rear area of the aircraft can be
seen.
Furthermore, in Fig. 3b, the four drive devices 1F and 1R are
arranged in a horizontal plane. However, the following
statements also apply in the event that not all drive devices
are in a horizontal plane. The axes of rotation associated with
the drive devices 1F and 1R are parallel to each other and
parallel to the transverse direction (which points into the
plane of the sheet). According to the invention, all four drive
devices 1F, 1R rotate in the same direction of rotation 51 with
a certain associated rotational speed. In Fig. 3b, all drive
devices 1F and 1R rotate clockwise, which means that all four
drive devices are clockwise with respect to the transverse
direction (y-axis) indicated in Fig. 3a. right-handed. In other
words, the scalar product of each of the angular velocity
vectors associated with the drive devices 1F, 1R with the unit
vector in the transverse direction is positive. Regardless of
the reference system used, one can also say that the propulsion
devices rotate in such a way that the surface of the propulsion
devices that first encounters the air flow during forward flight
rotates against the direction of gravity.
When the drive devices rotate clockwise, the Magnus effect has a
particularly positive effect. This applies to any number of
drive devices. As already mentioned above, a thrust vector is
generated by the rotation of each drive device 1F, 1R. In the
notation according to Fig. 3b, the thrust vector jointly
generated by the two drive devices 1F arranged in the front area
is designated F<sub>1</sub>, 701, and the thrust
vector jointly generated by the two drive devices 1R arranged in
the rear area is designated F<sub>2</sub>, 702.
Because all drive devices 1F and 1R rotate in the same direction
of rotation 51, all resulting (drive) torques
M<sub>1</sub>, 81 M<sub>2</sub>, 82 also
act in the same direction, where M<sub>1</sub>, 81
denotes the (drive) torque of both front drive devices 1F, and
M<sub>2</sub>, 82 denotes the (drive) torque of both
rear drive devices 1R. Now the momentum and spin laws are set up
around the center of mass S, 150 of the aircraft, whereby in the
case shown only the momentum law in the vertical direction 103
(z-axis) and the spin law around the transverse direction
(y-axis) are relevant, since only here are forces or
torques act. The conditions for a stable hover are then: (7)
(<sub>8)</sub> <img file="imgf000036_0001.tif"
frnum="0001" he="16" id="imgf000036_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0017"
wi="85"/> The thrust vectors F<sub>1</sub>and
F<sub>2</sub>can be adjusted to satisfy the two
equilibrium conditions. The thrust vectors are conveniently set
by the thrust vector control. l<sub>1</sub>, 131 and
l<sub>2</sub>, 132 indicate, in relation to the
longitudinal direction, the distance of the center of gravity S,
150 from the drive devices 1F in the front area or 1R in the
rear area. F<sub>S</sub>, 160 denotes the weight of
the entire aircraft. However, it is also possible to use the two
equilibrium conditions to determine the center of mass of the
aircraft in such a way that the said conditions for hovering are
met for certain given thrust vectors
F<sub>1</sub>and F<sub>2</sub>.
The torques M<sub>1</sub>, 81 and
M<sub>2</sub>, 82 shown in Fig.3b correspond to the
drive torques of the two drive devices 1F and the two drive
devices 1R respectively. There is a difference between the
magnitudes of the torques M<sub>1</sub>, 81 and
M<sub>2</sub>, 82 and the magnitudes of the thrust
vectors F<sub>1</sub>, 701 and
F<sub>2</sub>, 702. F<sub>2</sub>, 702
of the corresponding drive devices 1F or1R there is a
mathematical-physical connection. This is determined by equation
(6) given above. This means that the magnitudes of the torques
M<sub>1</sub>, 81 and M<sub>2</sub>, 82
are proportional to the generated magnitudes of the thrust
vectors F<sub>1</sub>, 701 and
F<sub>2</sub>, 711 respectively.
F<sub>2</sub>, 702. The torques cannot therefore be
freely controlled. As explained above in connection with
equation (6), the proportionality factor α of each drive device
is essentially dependent on the efficiency of the drive device,
its angular velocity and other characteristics of the drive
device. Each drive device can have a different proportionality
factor α. However, the values of α of different drive devices of
the same design or Size typically the same order of magnitude.
In terms of functionality, they are essentially identical.
According to equation (6), the amounts
M<sub>1</sub>, M<sub>2</sub>of the
torques M<sub>1</sub>, 81 and
M<sub>2</sub>, 82 can be written as <img
file="imgf000037_0001.tif" frnum="0001" he="10"
id="imgf000037_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0018" wi="55"/>
This gives the torque equation (8) as <img
file="imgf000037_0002.tif" frnum="0001" he="10"
id="imgf000037_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0019" wi="102"/>
This equation can now be converted into a ratio of the amounts
F<sub>1</sub>and F<sub>2</sub>of the two
thrust vectors F<sub>1</sub>, 701 and
F<sub>2</sub>, 702 can be transformed: (9) <img
file="imgf000038_0001.tif" frnum="0001" he="17"
id="imgf000038_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0020" wi="41"/>
Equation (9) can serve as a configuration formula for the
aircraft.
Equation (9) initially contains three freely selectable
quantities (from the set of F<sub>1</sub>,
F<sub>2</sub>, l<sub>1</sub>,
l<sub>2</sub>), but in a stable flight attitude
equation (7) must also be taken into account, which is why only
two of the four quantities mentioned above can be freely
selected. There are therefore several possibilities to satisfy
equations (7) and (9). (i) In a first case, it can be required
that the aircraft is designed symmetrically. This means that the
front axes of rotation 5, i.e. the axes of rotation of the drive
devices 1F arranged in the front area of the aircraft, and the
rear axes of rotation 5, i.e. the axes of rotation of the drive
devices 1R arranged in the rear area of the aircraft, are
equidistant from the center of mass S, 150. In other words, the
centre of mass S, 150 is located in the middle between the front
and rear axes of rotation 5 with respect to the longitudinal
direction.
In this case l<sub>1</sub>=
l<sub>2</sub>. Then, from equation (9) and because
the front <img file="imgf000038_0002.tif" frnum="0001"
he="11" id="imgf000038_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0021"
wi="21"/> propulsion devices 1F must produce more thrust than
the rear propulsion devices 1R, so F<sub>1</sub>>
F<sub>2</sub>. Thus, the front drive devices 1F must
be designed larger than the rear drive devices 1R. In this case,
the center of mass S, 150 will therefore tend to move forward,
which means that l<sub>1</sub><
l<sub>2</sub>, and the required thrust vectors
F<sub>1</sub>and F<sub>2</sub>of the
drive devices 1F and 1R increase further. (ii) In a second case,
the drive devices 1F and 1R are particularly preferably designed
to be structurally identical.
This means that they are identical in construction and, for
example, have the same size, the same wingspan, the same number
of rotor blades, the same diameter and/or generate similar or
identical (maximum) thrust forces/thrust vectors. In this case,
F<sub>1</sub>= F<sub>2</sub>or
F<sub>1</sub>§ F<sub>2</sub>. With
F<sub>1</sub>= F<sub>2</sub>Ł F,
equation (7) initially yields F = F<sub>S</sub>/2.
From equation (9) we then obtain <img
file="imgf000038_0003.tif" frnum="0001" he="8"
id="imgf000038_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0022" wi="37"/> If
the distance in the longitudinal direction between the front
drive devices 1F and rear drive devices 1R is l =
l<sub>1</sub>+ l<sub>2</sub>, then the
last equation gives: (10) (11) <img
file="imgf000039_0001.tif" frnum="0001" he="24"
id="imgf000039_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0023" wi="50"/> It
can be seen that the center of mass S, 150 of the aircraft is
shifted in the longitudinal direction from the center l/2
between the front axes of rotation 5 of the front drive devices
1F and the rear axes of rotation 5 of the rear drive devices 1R
in the direction of the rear axes of rotation 5 of the rear
drive devices 1R, namely by (a<sub>1</sub>+
a<sub>2</sub>)/2.
Typically in this case a<sub>1</sub>=
a<sub>2</sub>≡ a. If an aircraft is now built with
structurally identical, equally sized propulsion devices 1F and
1R and thus approximately equally large thrust forces / thrust
vectors F<sub>1</sub>, 701 or
F<sub>2</sub>, 702 is configured per pair of drive
devices 1F or 1R, the center of mass S, 150 can therefore be
optimally positioned so that the torques
M<sub>1</sub>, 81 or M<sub>2</sub>, 82
can be compensated purely by the position of the center of mass
S, 150. The said optimal position is determined by equations
(10) and (11). Here and in the following, it must be noted that
only the position of the drive devices and the center of gravity
in the longitudinal direction 101 plays a role in the
considerations. The storage or Positioning of drive devices and
center of mass with respect to the transverse direction and
vertical direction 103 is not relevant here and is at the
discretion of the expert.
A storage or arrangement that is as symmetrical as possible.
However, positioning in the latter two directions is preferable.
(iii) According to the invention, it is also possible that
aspects of the first case (i) and the second case (ii) are
combined with each other. This means that the center of mass S,
150 of the aircraft can be located between the front and rear
axes of rotation of the propulsion devices 1F and 1B
respectively. 1R can be shifted in such a way that the
conditions (7) and (8) for a stable hover at certain given, also
different thrust vectors / thrust forces of individual drive
devices are fulfilled. For practical applications, it is not
always possible to place the masses in an aircraft such that the
total center of mass S, 150 can be positioned exactly at the
predetermined optimal position described in case designs (i),
(ii) or (iii); for example, for case design (i)
l<sub>1</sub>= l<sub>2</sub>; for case
design (ii) l<sub>1</sub>and
l<sub>2</sub>are given by equations (10) and (11).
Therefore, an area is defined below in which the center of mass
S, 150 can lie, so that it is still possible to compensate the
torque with the thrust forces / thrust vectors
F<sub>1</sub>, 701 or. F<sub>2</sub>,
702 of the pairs of drive devices 1F respectively. to support
1R. For this purpose, it is assumed that a pair i of drive
devices has a maximum permissible (i.d. R. predetermined) thrust
/ a maximum permissible thrust vector of
F<sub>i,max</sub>. It is assumed that
F<sub>i,max</sub>is greater than or equal to the
thrust forces F<sub>i,opt</sub>corresponding to the
optimal configuration. This is because an aircraft requires at
least the thrust forces F<sub>i,opt</sub> to remain
in a stable hover; in the preferred case, each pair of
propulsion devices still provides an excess of thrust, which can
be used, among other things, to deviate the position of the
center of gravity S, 150 from the optimal position.
F<sub>i,max</sub>is the maximum thrust force of a
drive device permitted by the thrust vector control, which must
therefore always be greater than or equal to the thrust force
for the optimal design F<sub>i,opt</sub>. Taking
into account the principle of momentum according to equation
(7), the following applies: <img file="imgf000040_0004.tif"
frnum="0001" he="11" id="imgf000040_0004" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0024"
wi="106"/> This allows a maximum permissible thrust vector
ratio to be defined: <img file="imgf000040_0003.tif"
frnum="0001" he="17" id="imgf000040_0003" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0025"
wi="50"/> And correspondingly: <img
file="imgf000040_0002.tif" frnum="0001" he="10"
id="imgf000040_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0026" wi="102"/>
and thus a minimum permissible thrust vector ratio of <img
file="imgf000040_0001.tif" frnum="0001" he="18"
id="imgf000040_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0027" wi="50"/>
These thrust vector ratios
F<sub>1</sub>/F<sub>2</sub> are also
described by equation (9); using the latter, the maximum
permissible distance in the longitudinal direction of the center
of mass S, 150 from the front axes of rotation 5 to <img
file="imgf000041_0002.tif" frnum="0001" he="13"
id="imgf000041_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0028" wi="68"/> and
the minimum permissible distance in the longitudinal direction
of the center of mass S, 150 from the front axes of rotation 5
can be calculated.
<img file="imgf000041_0001.tif" frnum="0001" he="18"
id="imgf000041_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0029" wi="69"/> If
the centre of mass S, 150 is outside the range (12) <img
file="imgf000041_0003.tif" frnum="0001" he="8"
id="imgf000041_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0030" wi="51"/> it
is no longer possible to compensate for the deviation of the
centre of mass S, 150 from the optimum position according to
equation (10) by the thrust forces F<sub>1</sub>,
701 or. F<sub>2</sub>, 702 of the drive devices 1F
and 1R respectively. Figure 3c serves to illustrate the region
described above in which the center of mass S, 150 of the
aircraft can expediently be located for implementing the
invention according to the first aspect.
Fig.3c shows schematically an aircraft with propulsion devices
1F, 1R, which are arranged along two straight lines, each
running parallel to the transverse direction of the aircraft.
Conveniently, the aircraft comprises four propulsion devices 1F,
1R, of which two 1F are arranged in the front area and two 1R in
the rear area, as already described in connection with Figures
3a and 3b. It is further assumed that the drive devices 1F, 1R
are structurally identical (as in case (ii)), here in
particular: a<sub>1</sub>=
a<sub>2</sub>≡ a. First, it is further assumed that
the torque compensation is to be realized purely via the
position of the center of mass S, 150, whereby <img
file="imgf000041_0004.tif" frnum="0001" he="7"
id="imgf000041_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0031" wi="99"/>
<sub>, , , ,</sub>applies.
For the aircraft embodiment considered here, a total weight
force of F<sub>s</sub>= 1000 N generated by a
corresponding total mass is assumed; the characteristic number /
proportionality factor is typically a = 0.2 m; the distance
between the drive devices in the longitudinal direction is
defined as. <img file="imgf000042_0002.tif" frnum="0001"
he="14" id="imgf000042_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0032"
wi="49"/> Based on these specifications, equations (10) and
(11) result in an optimal center of mass position of <img
file="imgf000042_0001.tif" frnum="0001" he="38"
id="imgf000042_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0033" wi="74"/> If
it is not possible to place the total center of mass S, 150 of
the aircraft at the position l<sub>1,opt</sub>= 1.2
m, a range is now defined in which the position of the center of
mass S, 150 can be located, so that the torque compensation can
be compensated by the thrust forces / thrust vectors of the
drive devices 1F, 1R.
For this purpose, the maximum permissible thrust that can be
generated by all propulsion devices arranged along a straight
line, which is conveniently controlled by the thrust vector
control, is defined as <img file="imgf000042_0003.tif"
frnum="0001" he="8" id="imgf000042_0003" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0034"
wi="36"/>. This specification allows the maximum and minimum
permissible thrust vector ratio <img
file="imgf000042_0004.tif" frnum="0001" he="12"
id="imgf000042_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0035" wi="67"/> and
the range for the position of the center of mass according to
equation (12) <img file="imgf000042_0005.tif" frnum="0001"
he="15" id="imgf000042_0005" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0036"
wi="72"/> to be calculated.
That is, in this example, the longitudinal centre of gravity is
conveniently located 1.1 to 1.3 m from the front axes of
rotation of the corresponding front drive devices 1F. Figure 4
shows a further embodiment of an aircraft 100 according to the
first aspect of the invention. This Fig. 4 serves primarily to
generalize the results derived in connection with Figures 3a, 3b
and 3c for any number K > 2 of drive devices 1. It has
already been pointed out above that for the In the context of
the invention, the positioning of the drive devices 1 in the
longitudinal direction is primarily important. The drive devices
can be positioned at different heights in the vertical
direction. The longitudinal direction is marked as x-axis 101 in
Fig. 4. It is assumed that the K propulsion devices of the
aircraft are arranged along N > 1 straight lines gi. As
already explained above, the said straight lines are not
structural components of the aircraft 100, but merely serve to
illustrate the geometric arrangement of the propulsion devices
1.
On a certain straight line g<sub>i</sub> (denoted by
index i, i = 1, … ,N), n<sub>i</sub>, i = 1, … ,N,
drive devices 1 should be arranged. This means that <img
file="imgf000043_0001.tif" frnum="0001" he="12"
id="imgf000043_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0037" wi="33"/>
Furthermore, it is assumed that all n<sub>i</sub>
drive devices 1 arranged on a straight line
g<sub>i</sub> with index i generate a total thrust
force / a total thrust vector with magnitude (where
F<sub>ij</sub> is the thrust vector generated by the
j-th drive device arranged on the straight line <img
file="imgf000043_0003.tif" frnum="0001" he="9"
id="imgf000043_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0038" wi="24"/>
g<sub>i</sub>); the magnitude of the total (drive)
torque of all n<sub>i</sub> drive devices arranged
on the straight line gi with index i is Mi. For each , i = 1,
... ,N, the following relationship therefore applies according
to equation (6): <img file="imgf000043_0002.tif" frnum="0001"
he="10" id="imgf000043_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0039"
wi="34"/> where for each straight line
g<sub>i</sub> with index i a key figure / a
proportionality factor a<sub>i</sub> is introduced.
It is pointed out that, although the straight lines
g<sub>i</sub> along which the drive devices 1 are
arranged are aligned parallel to the transverse direction 102,
it is not absolutely necessary according to the invention that
all the axes of rotation 5 of the drive devices 1 are aligned
(mathematically exactly) parallel to one another or to the
transverse direction 102. It is sufficient if the axes of
rotation 5 of the drive devices 1, especially in hovering
flight, are aligned substantially in the transverse direction
102, in the sense defined in the introduction. In Fig.4 it is
shown that the rotation axes 5 of some drive devices 1 are not
aligned exactly parallel to the transverse direction 102.
According to the invention, the drive devices 1 are nevertheless
arranged on a straight line g<sub>i</sub> which runs
parallel to the transverse direction 102, because their
geometric center lies essentially on such a straight line gi,;
it is also possible, in order to meet the condition of the
arrangement on a parallel straight line, such that the bearing
points of the drive devices 1 lie essentially on such a straight
line gi.
Each of the straight lines g<sub>i</sub>with index i
is located in the longitudinal direction 101 (x-axis) at a point
with coordinate x<sub>i</sub>, i = 1, … ,N, where,
without loss of generality, x<sub>i</sub>–
x<sub>i</sub>– 1 > 0 is assumed. The longitudinal
positions xi of the line gi are fixed but arbitrary. The center
of mass S, 150 of the aircraft 100 is located at the coordinate
X<sub>S</sub> with respect to the longitudinal
direction 101. It is pointed out that, whereas in connection
with Figures 3a, 3b, 3c the distances
l<sub>1</sub>and l<sub>2</sub>of the
straight line from the center of mass were considered, here the
coordinates relative to the longitudinal direction 101 of the
straight line gi are used; this proves to be more appropriate
here. Nevertheless, the relationship between the coordinates of
the straight line gi and its distances
l<sub>i</sub>from the center of mass S, 150 can be
easily established: <img file="imgf000044_0001.tif"
frnum="0001" he="10" id="imgf000044_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0040"
wi="36"/> With the notations introduced, the conditions for a
stable levitation or
Forward flight can be generalized from equations (7) and (8) as
follows: (13) (14) <img file="imgf000044_0002.tif"
frnum="0001" he="24" id="imgf000044_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0041"
wi="98"/> Inserting equation (13) yields equation (14):
<img file="imgf000044_0003.tif" frnum="0001" he="8"
id="imgf000044_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0042" wi="59"/>
thus the coordinate X<sub>S</sub>of the center of
mass S, 150 is: (<sub>15)</sub> <img
file="imgf000044_0004.tif" frnum="0001" he="11"
id="imgf000044_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0043" wi="54"/> An
intermediate result should be noted here: From equation (15) the
coordinate X<sub>S</sub>of the center of mass S, 150
can be calculated if the thrust vectors
F<sub>i</sub> are specified; however, equation (13)
also provides a further condition that must be fulfilled for a
stable flight attitude.
Therefore, not all N thrust vectors F<sub>i</sub>can
be specified, but only N – 1. This means that the position
X<sub>S</sub>of the center of mass S, 150 for a
stable flight attitude, especially hovering, is determined when
N – 1 thrust vectors are specified. The values of the given
thrust vectors can of course also be the same. The distance in
the longitudinal direction of the center of mass S, 150 from the
foremost straight line g1 or the propulsion device which, in the
longitudinal direction, is closest to the bow 121 or the nose
121 of the aircraft 100, is: <img file="imgf000045_0001.tif"
frnum="0001" he="10" id="imgf000045_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0044"
wi="70"/> We will now first consider the case in which the
propulsion devices 1 arranged on a straight line gi generate
approximately equal thrust forces / thrust vectors Fi for each
straight line, i.e. The center of mass S, <img
file="imgf000045_0004.tif" frnum="0001" he="10"
id="imgf000045_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0045" wi="54"/> 150
will therefore optimally be positioned such that the torques Mi
generated by the propulsion devices 1 are compensated purely by
the position of the center of mass S, 150.
The said optimal position is determined by equations (13) and
(15). From equation (13) follows <img
file="imgf000045_0002.tif" frnum="0001" he="9"
id="imgf000045_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0046" wi="74"/> And
thus from equation (15): (16) <img file="imgf000045_0003.tif"
frnum="0001" he="12" id="imgf000045_0003" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0047"
wi="48"/> In this case it can conveniently be assumed that
a<sub>1</sub>≡ a, i = 1, … ,N. A maximum permissible
range for the (longitudinal, x-) coordinate
X<sub>S</sub>of the center of mass S, 150 can be
determined analogously to the considerations for Figure 3b also
for the general case described above, using equations (13), (14)
and (15).
Figure 5 shows an embodiment of the drive devices that can be
used in an aircraft according to the invention. Each of these
drive devices 1 is mounted so as to be rotatable about a
rotation axis. Each drive device 1 comprises several rotor
blades 2, which are pivotably mounted about their longitudinal
axis. This allows the angle of inclination of the rotor blades 2
to be varied during the rotation of the drive device 1. By
controlling the rotation speed of the drive devices 1 and the
control The angle of inclination of the rotor blades 2 allows
the magnitude and direction of the generated thrust vector to be
varied. Figure 5 shows a perspective view of an embodiment of a
drive device 1 according to the invention. The drive device 1 is
cylindrical in shape. The drive device 1 shown is a cyclogyro
rotor. This drive device 1 comprises five rotor blades 2, each
with an associated pitch mechanism 3, an offset device 4 and a
disk 11.
Drive systems with a different number of rotor blades are also
possible. The rotor blades 2 are mounted so as to be rotatable
about a rotation axis of the drive device 1. The offset device 4
defines an eccentric bearing axis which is mounted eccentrically
with respect to the axis of rotation of the drive device 1. In
Fig. 5, the offset device is shown as an offset disk. The offset
disk is freely rotatable around the eccentric bearing axis. The
eccentric bearing of the offset disk 4 implies an eccentric
bearing of the pitch mechanism 3. The eccentric bearing of the
pitch mechanism 3 causes a change in the position of the rotor
blades 2 during one revolution about the axis of rotation of the
drive device 1. Each of the illustrated pitch mechanisms 3
comprises a coupling device 31 and a bearing device 33. Each
rotor blade 2 is pivotally mounted by the corresponding bearing
device 33. The rotor blade 2 is mounted about an axis parallel
to the axis of rotation of the drive device 1.
This axis is the rotor blade bearing axis 33. The bearing of the
rotor blade 2 can be achieved, for example, by means of a
bearing means, such as one or more pins, so-called. main pin.
The storage means is preferably a part of the storage device 33.
The rotor blade bearing axis 33 can pass through the center of
mass of the rotor blade 2. Preferably, however, the rotor blade
2 is mounted at a distance from the center of mass. The coupling
device 31 of the pitch mechanism 3 couples the rotor blade 2 to
the offset device 4 such that the rotor blade 2 performs a pitch
movement when it rotates about the axis of rotation of the drive
device 1, and under the condition that the eccentric bearing
axis does not coincide with the axis of rotation of the drive
device 1. An end piece of the coupling device 31 is coupled to
the offset device 4 at a connection point. The other end piece
of the coupling device 31 is coupled to the rotor blade 2.
The offset disk 4 is freely rotatable. The axis of rotation of
the offset disk 4 preferably runs parallel to the axis of
rotation of the drive device 1 at a certain offset distance.
This results in the eccentric bearing of the offset disk 4 with
respect to the axis of rotation of the drive device 1. This
offset distance can be adjustable. An offset device 4 with
adjustable eccentricity can be realized, for example, by a
planetary gear. A pitch movement of the rotor blades 2 occurs
when the offset distance is not zero. The coupling device 31 is
coupled to the rotor blade 2 at a coupling point 32. For this
purpose, the coupling device 31 can comprise a coupling means.
In the drive device 1 shown in Fig.5, the coupling device 31
comprises a connecting rod (English “conrod”) and a pin,
so-called. Pitch link pin. The pin is a structural embodiment of
the coupling means according to the invention.
In the embodiment shown in Fig. 5, the coupling device 31 is
coupled to the rotor blade 2 at the coupling point 32 not by
direct connection to the rotor blade 2, but by using a
connecting element 61. One end of the connecting element 61 is
rigidly connected to the rotor blade 2. This connection is
preferably made at the rotor blade bearing point. The other end
of the connecting element 61 is coupled to the coupling device /
connecting rod 31. In this case, the pitch movement is
introduced into the rotor blade 2 via the coupling means with
the aid of the connecting rod 31 indirectly via the connecting
element 61. However, a direct coupling of the coupling device 31
to the rotor blade 2 is also possible according to the
invention. Because the coupling device 31 of the pitch mechanism
is mounted eccentrically with respect to the axis of rotation of
the drive device 1, the coupling point 32 moves on a circular
arc relative to the rotor blade bearing axis 33 when the rotor
blade 2 rotates about the axis of rotation of the drive device
1.
This causes the pitch movement of rotor blade 2. This is a
pendulum movement of the rotor blade 2 around the rotor blade
bearing axis 33. The diameter of the drive device 1 corresponds
to twice the distance from the axis of rotation of the drive
device 1 to the rotor blade bearing axis 33 or point. This
diameter is relevant for the wing speed during rotation and
therefore relevant for the thrust generated. In exemplary
embodiments of the drive device 1 according to the invention,
the diameter is in the range between 150 mm and 2000 mm,
preferably between 300 mm and 500 mm, particularly preferably it
is 350 mm. Furthermore, the drive device 1 shown in Fig. 5
comprises a disk 11. This disk 11 is designed such that it
aerodynamically separates the rotor blades 2 from the remaining
components of the drive device 1. Such a disk 11 is particularly
advantageous in the event that the drive device 1 is operated at
higher speeds.
The length of the rotor blades 2 defines the span of the drive
device 1. The span of the drive device 1 is the (longitudinal)
distance between the two disks 11. The span of one of the
cyclogyro rotors that can be used according to the invention is
suitably a few centimeters to two meters, preferably between 350
and 420 mm. In the aircraft according to the invention, several
cyclogyro rotors are advantageously used. Their ranges should
preferably differ by a maximum of 25%, and preferably by a
maximum of 10%. Their diameters preferably differ from each
other by a maximum of 25%, expediently by a maximum of 10%. The
rotor blades 2 shown in Fig. 5 have a symmetrical profile; the
invention is not limited to drive devices with rotor blades with
a symmetrical profile. The drive device 1 generates thrust or a
thrust vector due to two coupled rotational movements. The first
rotational movement is the rotation of the rotor blades 2 around
the axis of rotation of the drive device 1.
This first rotational movement leads to a movement of the rotor
blades 2 along a circular path around the axis of rotation of
the drive device. Specifically, the rotor blade bearing axes 33
and 34 move. Rotor blade bearing points along the circular path.
Each rotor blade bearing axis 33 is parallel to the longitudinal
axis of the rotor blades 2. The longitudinal axis of the rotor
blades 2 is parallel to the axis of rotation of the drive device
1. Thus, the longitudinal axis of the rotor blades 2 is also
parallel to the rotor blade bearing axis 33. The thrust
direction of the drive device 1 is normal to the axis of
rotation of the drive device 1. For optimum thrust generation,
all rotor blades 2 should be aligned as best as possible to the
flow direction at all times. This ensures that each rotor blade
2 makes a maximum contribution to the total thrust. During the
rotation of the drive device 1 about its axis of rotation, the
inclination of each rotor blade 2 is continuously changed due to
the pitch mechanism described above.
Each rotor blade 2 undergoes a periodic change in the angle of
inclination or a pendulum movement. This is the pitch movement.
The coupling point 32 moves on a circular arc around the rotor
blade bearing axis 33. This is the second rotation. The
magnitude and direction of the generated thrust force or the
associated thrust vector depend on the inclination of the rotor
blades 2. Therefore, the distance of the eccentric bearing of
the offset device 4 or the pitch mechanism 3 to the axis of
rotation of the drive device 1 influences the amount of thrust
force / thrust vector generated. By shifting the eccentric
bearing of the offset device 4 in the circumferential direction,
i.e. at a constant distance from the axis of rotation of the
drive device 1, the direction of the generated thrust vector is
changed. Although in Fig. 5 pitch mechanisms 3 are shown only on
one side of the drive device 1, it may be expedient for
stability reasons to also install corresponding pitch mechanisms
on the opposite side of the drive device.
The pitch mechanism can also be installed in the middle of the
drive device, for example. Figure 6 shows a perspective view of
an aircraft 200 according to the second aspect of the invention
with an aircraft fuselage 220 and several drive devices 1A and
1B. Four drive devices 1A and 1B can be seen, which are arranged
around the aircraft fuselage 220. Each propulsion device 1A and
1B is connected to the aircraft fuselage 220 via an arm 221 or
222. Each of the drive devices 1A and 1B can be mounted on the
arms 221 and 222, respectively, with appropriate mounting or
bearing devices. The presence of arms 221 or 222 is not
essential. The Propulsion devices 1A and 1B may also be coupled
to the aircraft fuselage 220 in other ways. The aircraft body
220 and the propulsion devices 1A and 1B are essentially located
in one plane. The illustrated aircraft 200 can be, for example,
an aircraft, a manned aircraft, a drone or a so-called
Micro Air Vehicles (MAVs) trade. To further describe the
aircraft 200 shown, a reference system is introduced which has a
first direction 201, a second direction 202 and a vertical
direction 203 or. vertical axis defined. The vertical direction
203 or axis corresponds to the direction of gravity when the
aircraft 200 is resting on the ground. The vertical direction
203 is perpendicular to the above-mentioned plane in which the
aircraft fuselage 220 and the propulsion devices 1A and 1B are
located. The first direction 201 and the second direction 202 or
the corresponding axes lie in the said plane and are thus
perpendicular to the vertical direction. What is essential for
the aircraft 200 of the second aspect of the invention
considered here is that the first direction 201 and the second
direction 202 are not parallel to each other. In the embodiment
shown, the first direction 201 and the second direction 202 are
perpendicular to each other. The directions thus defined should
be firmly anchored to the aircraft 200.
The aircraft 200 shown has four propulsion devices 1A and 1B.
The drive devices 1A and 1B shown are cyclogyro rotors. A more
detailed description of cyclogyro rotors has already been given
in connection with Fig. 5. Each drive device 1A and 1B is
mounted so as to be rotatable about an axis of rotation 5
assigned to it. Each drive device 1A and 1B comprises several
rotor blades 2 which are pivotably mounted about their
longitudinal axis. This allows the angle of inclination of the
rotor blades 2 to be adjusted during rotation of the drive
device 1A or 1B can be varied. By controlling the rotational
speed (hereinafter also referred to as rotational speed) of the
drive devices 1A or 1B and by controlling the inclination angle
of the rotor blades 2, the amount and direction of the generated
thrust force or the thrust vector describing it can be varied.
In Fig.6 it can be seen that the four drive devices 1A and 1B
essentially form the corners of a rectangle or square.
In the geometric center of this rectangle or The hull is
positioned 220 in the square. It is practical for each of the
drive devices 1A and 1B to be arranged from the centre or hull
equidistant. For this purpose, the arms 221 and 222 can have the
same length. In this case, the drive devices 1A and 1B are
arranged at the corners of a square. The two drive devices 1A,
the opposite corners of the said rectangle respectively. square
lie on a common straight line; in the example shown, this
straight line is substantially parallel to the first direction
201; likewise, the two drive devices 1B, which are also opposite
corners of the said rectangle or square, lie on a common
straight line. square, on a common straight line which is
substantially parallel to the second direction 202. It should be
noted that the straight lines mentioned do not necessarily have
to be a common axis of rotation to which the drive devices are
(rigidly) coupled. Each drive device 1A, 1B can rotate via its
own associated axis of rotation 5A, 5B, and it is also possible
for each of the drive devices 1A, 1B to be controlled
individually, in particular to control their rotational speed
separately.
In the embodiment of Fig.6, the rotation axes 5A assigned to the
drive devices 1A are essentially aligned in the first direction
201. In the embodiment of Fig.6, the rotation axes 5B assigned
to the drive devices 1B are essentially aligned in the first
direction 202. In Fig.6 it can be seen that the axes of rotation
5A, 5B are not aligned exactly parallel to the first direction
201 or the second direction 202. In fact, it is already
according to the invention if each of the associated axes of
rotation 5A, 5B is substantially aligned in the first direction
201 or second direction 202. According to the invention, an axis
of rotation 5A is aligned substantially in the first direction
201 if the angle enclosed between the axis of rotation 5A and an
axis running in the first direction 201 and intersecting the
axis of rotation 5A is less than 45°, preferably less than 30°,
particularly preferably less than 15°. The designation
“substantially aligned in the first direction” therefore does
not exclude the possibility that the axes of rotation 5A are
also exactly parallel to the first direction 201.
The same applies to the rotation axes 5B of the second drive
devices 1B and the second direction 202. The aircraft 200
according to the invention is designed such that it can perform
a hover flight in that each of the two drive devices 1A shown
rotates essentially in the same direction of rotation about the
respectively associated axis of rotation 5A, and/or each of the
two drive devices 1B shown rotates essentially in the same
direction of rotation about the respectively associated axis of
rotation 5B. The resulting design limitations for the aircraft
200 are explained in connection with the other figures, in
particular figures 7a and 7b. In Figure 7a, an aircraft 200
according to the second aspect of the invention is shown in a
highly schematic representation in plan view. Firstly, the
aircraft fuselage 220 already described in connection with
Figure 6, the drive devices 1A<sub>1</sub>,
1A<sub>2</sub>and 1B<sub>3</sub>,
1B<sub>4</sub>and the axes of rotation 5A and 5B
assigned to them can be seen.
5B, the first direction 201 and second direction 202; the first
direction 201 is perpendicular to the second direction 202. To
describe the mathematical-physical relationships, it is useful
to introduce a (Cartesian) orthogonal coordinate system. In
Figures 7a and 7b, a Cartesian coordinate system with x, y and z
axes is used. It should be noted that, in general, the first and
second directions according to the invention do not need to
correspond to the axes of a Cartesian coordinate system. The
first and second (and possibly further) directions serve to
define the axes of rotation of the propulsion devices, while the
(Cartesian) orthogonal coordinate system is intended to serve
the purpose of mathematically describing the aircraft. In
addition, the center of mass S, 250 of the aircraft 200 is
shown. The location or Positioning of the center of mass S, 250
is for balancing the forces generated by the drive devices
1A<sub>1</sub>,
1A<sub>2</sub>respectively, rotating in essentially
the same direction of rotation.
1B<sub>3</sub>, 1B<sub>4</sub>caused
rectified torques of central importance. This is described in
more detail with regard to Figure 7b. In the example shown, the
center of mass S, 250 is positioned such that the aircraft 200
can exploit the Magnus effect both in forward flight in
(positive) first direction 201 (here coinciding with the
positive x-direction) and in forward flight in (positive) second
direction 202 (here coinciding with the positive y-direction).
If the aircraft 200 moves in the Forward flight in the first
direction 201, the drive devices 1B<sub>3</sub>,
1B<sub>4</sub> rotate essentially in the same
direction of rotation about the associated axes of rotation 5B,
advantageously clockwise. As defined above in connection with
the first aspect, this means that the two drive devices
1B<sub>3</sub>, 1B<sub>4</sub> are
clockwise rotating with respect to the second direction (y-axis)
indicated in Fig. 7a.
In other words: The scalar product of each of the angular
velocity vectors associated with the drive devices
1B<sub>3</sub>, 1B<sub>4</sub> with the
unit vector in the second direction is positive. Independently
of the reference system used, one can also say that the
propulsion devices 1B<sub>3</sub>,
1B<sub>4</sub> rotate in such a way that the surface
of the propulsion devices 1B<sub>3</sub>,
1B<sub>4</sub>, which first encounters the air flow
during forward flight, rotates against the direction of gravity.
If the aircraft 200 moves in the second direction 202 during
forward flight, the drive devices 1A<sub>1</sub>,
1A<sub>2</sub> rotate essentially in the same
direction of rotation about the associated axes of rotation 5A,
advantageously in an anti-clockwise direction. The definition
given above applies accordingly. In the coordinate system shown
in Fig. 7a, this means that the scalar product of each of the
angular velocity vectors assigned to the drive devices
1A<sub>1</sub>, 1A<sub>2</sub> with the
unit vector in the first direction is negative.
Regardless of the reference system used, the propulsion devices
1A<sub>1</sub>, 1A<sub>2</sub> rotate in
such a way that the surface of the propulsion devices
1A<sub>1</sub>, 1A<sub>2</sub>, which
first encounters the air flow during forward flight, rotates
against the direction of gravity. Finally, the thrust vectors
F<sub>1</sub>, 2001; F<sub>2</sub>,
2002; F<sub>3</sub>, 2003; and
F<sub>4</sub>, 2004 are shown, which are generated
due to the rotation of the drive devices about the rotation axes
5A and 5B, respectively. 5B can be generated. The thrust vectors
F<sub>1</sub>, 2001; F<sub>2</sub>,
2002; F<sub>3</sub>, 2003; and
F<sub>4</sub>, 2004 point out of the image plane,
which means that lift is generated. In forward flight in the
first direction (x-axis) it is also possible that – when the
drive devices 1B<sub>3</sub>,
1B<sub>4</sub> rotate in the same direction – the
drive devices 1A<sub>1</sub>,
1A<sub>2</sub> rotate in opposite directions, i.e.
one clockwise, the other counterclockwise.
The same applies to forward flight in the second direction
(y-axis). The direction of the thrust vectors
F<sub>1</sub>, 2001; F<sub>2</sub>,
2002; F<sub>3</sub>, 2003; and
F<sub>4</sub>, 2004 remains unaffected. Figures 7b
and 7c show the aircraft shown in Figure 7a in plan view
according to the second aspect of the invention in different
side views and in highly schematic representation. In the side
view of Fig. 7b, the two drive devices
1A<sub>1</sub>, 1A<sub>2</sub>and one of
the two drive devices 1B<sub>3</sub>,
1B<sub>4</sub> can be seen. In the side view of Fig.
7c, the two drive devices 1B<sub>3</sub>,
1B<sub>4</sub>and one of the two drive devices
1A<sub>1</sub>, 1A<sub>2</sub> can be
seen. The rotation axes 5A assigned to the drive devices
1A<sub>1</sub>, 1A<sub>2</sub> are
parallel to the first direction 201 (here: x-direction); the
rotation axes 5B assigned to the drive devices
1B<sub>3</sub>, 1B<sub>4</sub> are
parallel to the second direction (here: y-direction) (which
points into the sheet plane).
In the considered embodiment according to the invention, the
drive devices 1B<sub>3</sub>,
1B<sub>4</sub> are intended to rotate in the same
direction of rotation 251 with a certain associated rotation
speed. In Fig.7b, the two drive devices
1B<sub>3</sub>, 1B<sub>4</sub> rotate
clockwise as defined above. As already mentioned, the rotation
of each drive device 1B<sub>3</sub>,
1B<sub>4</sub> generates a thrust vector. In the
notation according to Fig. 7b, the thrust vector generated
jointly by the two propulsion devices
1B<sub>3</sub>, 1B<sub>4</sub> is
denoted by F<sub>34</sub>, 2034, where
F<sub>34</sub>= F<sub>3</sub>+
F<sub>4</sub>(cf. Fig.7a). Because the drive devices
1B<sub>3</sub>, 1B<sub>4</sub> rotate in
the same direction of rotation 251, all resulting (drive)
torques M<sub>34</sub>, 280 also act in the same
direction, where M<sub>34</sub>, 280 denotes the
(drive) torque of both drive devices 1B<sub>3</sub>,
1B<sub>4</sub>, i.e. M<sub>34</sub>=
M<sub>3</sub>+ M<sub>4</sub>.
The drive devices 1A<sub>1</sub>,
1A<sub>2</sub>generate thrust vectors
F<sub>1</sub>, 2001; respectively.
F<sub>2</sub>, 2002. The direction of rotation of
the propulsion devices 1A<sub>1</sub>,
1A<sub>2</sub> is not important for the present
consideration, which concerns a design of the aircraft that is
favorable for forward flight in the primary direction 201. For
reasons of symmetry, however, it is preferable to design the
aircraft in such a way that a stable flight attitude, in
particular a stable forward flight, is possible even with the
same rotating propulsion devices 1A<sub>1</sub>,
1A<sub>2</sub>. This will be described further
below. With regard to Fig.7b, the momentum and angular momentum
laws are set up around the center of mass S, 250 of the
aircraft, whereby in the case shown only the momentum laws in
the vertical direction 203 (z-axis) and the angular momentum
laws around the second direction 202 (y-axis) are relevant,
since only here are forces or
torques act. The conditions for a stable hover are
then:<sub>(17)</sub> (18) <img
file="imgf000055_0001.tif" frnum="0001" he="22"
id="imgf000055_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0048" wi="104"/>
The (magnitudes of) thrust vectors F<sub>1</sub>,
F<sub>2</sub>and F<sub>34</sub>can be
adjusted to satisfy the two equilibrium conditions.
Conveniently, the thrust vectors are adjusted by the thrust
vector control. However, it is also possible to use the two
equilibrium conditions to determine the center of mass of the
aircraft in such a way that the said conditions for hovering are
met for certain given thrust vectors F<sub>1</sub>,
F<sub>2</sub>and F<sub>34</sub>.
The torque M<sub>34</sub>, 280 shown in Fig. 7b
corresponds to the (drive) torque of both drive devices
1B<sub>3</sub>, 1B<sub>4</sub>. As
already explained in connection with the first aspect of the
invention, there is a mathematical-physical relationship between
the magnitude of the torque M<sub>34</sub>, 280 and
the magnitude of the thrust vector F<sub>34</sub>.
This is determined by equation (6) given above. Each drive
device can have a different proportionality factor a. However,
the values of a of different drive devices of the same design or
Size typically the same order of magnitude. In terms of
functionality, they are essentially identical. According to
equation (6), the amounts M<sub>1</sub>,
M<sub>2</sub>, M<sub>3</sub>,
M<sub>4</sub>of the torques can be written as
<img file="imgf000055_0004.tif" frnum="0001" he="11"
id="imgf000055_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0049" wi="59"/>
Since in the embodiment considered, due to the parallel
alignment of the axes of rotation of the drive devices
1B<sub>3</sub>, 1B<sub>4</sub>with the
same direction of rotation M<sub>3</sub>and
M<sub>4</sub>
are parallel, the following also applies in terms of amount:
<img file="imgf000055_0003.tif" frnum="0001" he="13"
id="imgf000055_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0050" wi="85"/> It
should be mentioned here that the above equation is also a good
approximation for the generally considered case of axes of
rotation oriented essentially in the same direction. This
results in the torque equation (18) for <img
file="imgf000055_0002.tif" frnum="0001" he="17"
id="imgf000055_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0051" wi="105"/>
Here, F<sub>1</sub>, F<sub>2</sub>denote
the amounts of the torques produced by the drive devices
1A<sub>1</sub>respectively.
1A<sub>2</sub>generated thrust vectors
F<sub>1</sub>, 2001; F<sub>2</sub>,
2002; l<sub>1</sub>, 231 the distance of the thrust
vector F<sub>1</sub>, 2001 from the center of mass
S, 250 of the aircraft, determined with respect to the first
direction (whereby this distance l<sub>1</sub>can be
identified with the distance with respect to the first direction
between the center of mass S, 250 of the aircraft and the
geometric center along the axis of rotation 5A of the propulsion
device 1A<sub>1</sub>; in other words:
l<sub>1</sub>is the distance with respect to the
first direction from the center of mass S, 250 of the aircraft
to half the wingspan of the propulsion device
1A<sub>1</sub>); l<sub>2</sub>, 232 the
distance of the thrust vector F<sub>2</sub>, 2002
from the center of mass S, 250 of the aircraft, determined with
respect to the first direction (whereby this distance
l<sub>2</sub>can be identified with the distance
with respect to the first direction between the center of mass
S, 250 of the aircraft and the geometric center of the
propulsion device 1A<sub>2</sub>along the axis of
rotation 5A; in other words: l<sub>2</sub>is the
distance with respect to the first direction from the center of
mass S, 250 of the aircraft to half the span of the propulsion
device 1A<sub>2</sub>);
F<sub>34</sub>the amount of the thrust vector
F<sub>34</sub>= F<sub>3</sub>+
F<sub>4</sub>, 2034 generated by both propulsion
devices 1B<sub>3</sub>and
1B<sub>4</sub>; l<sub>34</sub>, 234 the
distance, determined with respect to the first direction,
between the center of mass S, 250 of the aircraft, on the one
hand, and the thrust vector F<sub>34</sub>, 2034 or
the axes of rotation of the drive devices
1B<sub>3</sub>and 1B<sub>4</sub>or the
straight line that runs through the drive devices
1B<sub>3</sub>and 1B<sub>4</sub>, on the
other hand (where it is assumed here that the drive devices
1B<sub>3</sub>and 1B<sub>4</sub>lie on a
straight line that runs - at least approximately - parallel to
the second direction); a<sub>34</sub>the
proportionality factor assigned to the drive devices
1B<sub>3</sub>and 1B<sub>4</sub>.
This equation can now be converted into a ratio of the amounts
F<sub>1</sub>and F<sub>2</sub>of the two
thrust vectors F<sub>1</sub>, 2001 and 2002
respectively. F<sub>2</sub>, 2002 can be transformed
into: (19) <img file="imgf000056_0001.tif" frnum="0001"
he="13" id="imgf000056_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0052"
wi="49"/> Equation (19) can serve as a configuration formula
for the aircraft. Equation (19) initially contains four freely
selectable quantities (from the set of
F<sub>1</sub>, F<sub>2</sub>,
F<sub>34</sub>, l<sub>1</sub>,
l<sub>2</sub>l<sub>34</sub>), but in a
stable flight attitude equation (17) must also be taken into
account, which is why only three of the four quantities
mentioned above can be freely selected. A corresponding
configuration formula is also obtained for the case that the
momentum theorem is set up in the vertical direction 203
(z-axis) and the angular momentum theorem is set up around the
first direction 201 (x-axis).
For this purpose, reference is made to Fig. 7c. Such a
consideration is necessary if one wants to use the effect
according to the invention, i.e. in particular the positive
contribution of the Magnus effect, also during forward flight in
the second direction (y-axis). The conditions for a stable hover
are then: (<sub>20)</sub>(21) <img
file="imgf000057_0001.tif" frnum="0001" he="17"
id="imgf000057_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0053" wi="100"/>
The notations are as in the case of equations (17) and (18), but
with the shifted indices: 1 → 3; 2 → 4; 3 → 1; 4 → 2. A repeat
of the individual expressions is therefore omitted. In
particular, M<sub>12</sub>, 285, is the total torque
generated by the drive devices 1A<sub>1</sub>,
1A<sub>2</sub>. Taking into account the explanations
in connection with equations (17) and (18) with regard to
equation (6), the torque equation (21) can be written as:
<img file="imgf000057_0002.tif" frnum="0001" he="17"
id="imgf000057_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0054" wi="110"/>
Herein, F<sub>3</sub>,
F<sub>4</sub>denote the amounts of torque produced
by the drive devices 1B<sub>3</sub>and
1B<sub>4</sub>respectively.
1B<sub>4</sub>generated thrust vectors
F<sub>3</sub>, 2003; F<sub>4</sub>, 2004
(cf. Fig. 7a); l<sub>3</sub>, 236, the distance of
the thrust vector F<sub>3</sub>from the center of
mass S, 250 of the aircraft, determined with respect to the
second direction (whereby this distance
l<sub>3</sub>can be identified with the distance
with respect to the second direction between the center of mass
S, 250 of the aircraft and the geometric center of the
propulsion device 1B<sub>3</sub>along the axis of
rotation 5B; in other words: l<sub>3</sub>is the
distance with respect to the second direction from the center of
mass S, 250 of the aircraft to half the span of the propulsion
device 1B<sub>3</sub>); l<sub>4</sub>,
237, the distance of the thrust vector
F<sub>4</sub>from the center of mass S, 250 of the
aircraft, determined with respect to the second direction
(whereby this distance l<sub>4</sub>can be
identified with the distance with respect to the second
direction between the center of mass S, 250 of the aircraft and
the geometric center of the propulsion device
1B<sub>4</sub>along the axis of rotation 5B;
otherwise
expressed as: l<sub>4</sub>is the distance in the
second direction from the center of mass S, 250 of the aircraft
to half the span of the propulsion device
1B<sub>4</sub>); F<sub>12</sub>the
amount of the thrust vector F<sub>12</sub>=
F<sub>1</sub>+ F<sub>2</sub>, 2012
generated by both propulsion devices
1A<sub>1</sub>and 1A<sub>2</sub>;
l<sub>12</sub>, 239, the distance determined in the
second direction between the center of mass S, 250 of the
aircraft, on the one hand, and the thrust vector
F<sub>12</sub>, 2012, or the axes of rotation of the
propulsion devices 1A<sub>1</sub>and
1A<sub>2</sub>respectively. the straight line
passing through the drive devices 1A<sub>1</sub>and
1A<sub>2</sub>on the other hand (it is assumed here
that the drive devices 1A<sub>1</sub>and
1A<sub>2</sub>lie on a straight line which runs - at
least approximately - parallel to the first direction);
a<sub>12</sub>the proportionality factor assigned to
the drive devices 1A<sub>1</sub>and
1A<sub>2</sub>.
This equation can now be converted into a ratio of the amounts
F<sub>3</sub>and F<sub>4</sub>of the two
thrust vectors F<sub>3</sub>respectively.
F<sub>4</sub>can be converted: (22) <img
file="imgf000058_0001.tif" frnum="0001" he="17"
id="imgf000058_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0055" wi="58"/> Due
to the topology of the star-shaped arrangement of the drive
devices 1A<sub>1</sub>, 1A<sub>2</sub>,
1B<sub>3</sub>and 1B<sub>4</sub>, it is
expedient if a pair of drive devices 1A<sub>1</sub>,
1A<sub>2</sub>or 1B<sub>3</sub>,
1B<sub>4</sub>produces half of the required thrust.
This results in the boundary condition
F<sub>12</sub>= F<sub>34</sub>. (23) It
should be noted that this does not necessarily imply that all
thrust vectors F<sub>1</sub>,
F<sub>2</sub>, F<sub>3</sub>, and
F<sub>4</sub> must be equal; it is sufficient if the
sum of the thrust vectors of two opposing propulsion devices is
equal.
However, all thrust vectors F<sub>1</sub>,
F<sub>2</sub>, F<sub>3</sub>, and
F<sub>4</sub> can be different when considered
individually. A further useful boundary condition arises if it
is required that the propulsion devices are preferably mounted
centrally on the aircraft fuselage 220. That is, the following
applies (24a) (24b) <img file="imgf000058_0002.tif"
frnum="0001" he="23" id="imgf000058_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0056"
wi="67"/> where for the distance l, 230 of the thrust vectors
or the geometric centers of the drive devices
1A<sub>1</sub>, 1A<sub>2</sub> was used:
l = l<sub>3</sub>+ l<sub>4</sub>, and
for the distance l<sup>'</sup>, 235, the thrust
vectors or the geometric centers of the propulsion devices
1B<sub>3</sub>, 1B<sub>4</sub>:
l<sup>'</sup>= l<sub>1</sub>+
l<sub>2</sub>.
It is advisable to set l<sup>'</sup>= l. These
boundary conditions (23) and (24a) lead to the following
configuration formula: (25a) <img file="imgf000059_0001.tif"
frnum="0001" he="12" id="imgf000059_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0057"
wi="69"/> the boundary conditions (23) and (24b) to: (25b)
<img file="imgf000059_0002.tif" frnum="0001" he="12"
id="imgf000059_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0058" wi="70"/> It
can be conveniently assumed that the proportionality factors are
equal, a<sub>12</sub>= a<sub>34</sub>≡
a. Next, the number of freely definable thrust vectors is to be
determined using equations (17), (18), (20) and (21).
Assuming that the positions of the drive devices are fixed, the
equations in question have the following unknowns:
F<sub>1</sub>, F<sub>2</sub>,
F<sub>3</sub>, F<sub>4</sub>,
l<sub>12</sub>and l<sub>34</sub>.
Furthermore, it should be noted that equations (17) and (20)
impose the identical constraint. So you have three equations for
six unknowns. The center of mass is to be determined using
l<sub>12</sub>and l<sub>34</sub>; thus,
equations (17), (18), (20) and (21) define another thrust
vector; three of the four thrust vectors
F<sub>1</sub>, F<sub>2</sub>,
F<sub>3</sub>can thus be specified arbitrarily. If
further boundary conditions are taken into account, the number
of freely definable thrust vectors is reduced accordingly. There
are several ways to satisfy equations (17), (20), (25a), (25b).
(i) In a first case, it can be required that the aircraft is
designed symmetrically.
This means that the center of mass S, 250 is located exactly in
the middle between the (centers of mass of the) drive devices
1A<sub>1</sub>, 1A<sub>2</sub>and/or
1B<sub>3</sub>, 1B<sub>4</sub>. In this
case l<sub>1</sub>= l<sub>2</sub>and/or
l<sub>3</sub>= l<sub>4</sub>. From
equations (25a), (25b) it then follows that the propulsion
device 1A<sub>1</sub>, 1B<sub>3</sub>
arranged in the positive first direction or positive second
direction <img file="imgf000060_0003.tif" frnum="0001"
he="12" id="imgf000060_0003" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0060"
wi="15"/> must generate more thrust than the propulsion
device 1A<sub>2</sub>, 1B<sub>4</sub>
arranged in the negative first direction or negative first
direction, therefore F<sub>1</sub>>
F<sub>2</sub>and/or F<sub>3</sub>>
F<sub>4</sub>.
Thus, the drive devices arranged in the positive direction must
be designed larger than the drive devices arranged in the
negative direction. In other words, the propulsion systems
located at the front in the forward flight direction must be
larger than the propulsion systems located at the rear. In this
case, the centre of mass S, 250 will therefore tend to move in
the positive first and/or second direction, with the result that
l<sub>1</sub>< l<sub>2</sub>and/or
l<sub>3</sub>< l<sub>4</sub>, and the
difference between the required thrust vectors
F<sub>1</sub>and
F<sub>2</sub>respectively.
F<sub>3</sub>and F<sub>4</sub>of the
drive devices 1A<sub>1</sub>,
1A<sub>2</sub>respectively.
1B<sub>3</sub>, 1B<sub>4</sub>continues
to increase. (ii) In a second case, the two drive devices
1A<sub>1</sub>, 1A<sub>2</sub>are
particularly preferably designed to be structurally identical
and/or the two drive devices 1B<sub>3</sub>,
1B<sub>4</sub>are particularly preferably designed
to be structurally identical.
This means that they are identical in construction and, for
example, have the same size, the same wingspan, the same number
of rotor blades and/or generate similar or identical (maximum)
thrust forces/thrust vectors. In this case,
F<sub>1</sub>= F<sub>2</sub>(or
F<sub>1</sub>≈ F<sub>2</sub>) and/or
F<sub>3</sub>= F<sub>4</sub>(or
F<sub>3</sub>≈ F<sub>4</sub>). From
equations (25a) and (25b) then follow (26a) (26b) <img
file="imgf000060_0001.tif" frnum="0001" he="21"
id="imgf000060_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0061" wi="45"/> It
can be seen that the center of mass S, 250 of the aircraft is
shifted along the first direction 201 and/or second direction
from the (geometric) center l/2 between the respective opposite
drive devices 1A<sub>1</sub>,
1A<sub>2</sub>or 1B<sub>3</sub>,
1B<sub>4</sub>in the direction of the rear drive
devices 1A<sub>2</sub>,
1B<sub>4</sub>with respect to the forward flight
direction, namely according to equations (24a) or (24b) by (27a)
(27b) <img file="imgf000060_0002.tif" frnum="0001" he="28"
id="imgf000060_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0062" wi="64"/> If
an aircraft with structurally identical, equally sized drive
devices 1A<sub>1</sub>,
1A<sub>2</sub>and/or 1B<sub>3</sub>,
1B<sub>4</sub>and thus approximately equal thrust
forces / thrust vectors per pair of propulsion devices
1A<sub>1</sub>,
1A<sub>2</sub>respectively.
1B<sub>3</sub>,
1B<sub>4</sub>configured, the center of mass S, 250
can therefore be optimally positioned so that the torques
generated by the drive devices are compensated purely by the
position of the center of mass S, 250. The said optimal position
is determined by equations (27a) and/or (27b). Here and in the
following, it must be noted that for the considerations
concerning the co-rotating drive devices
1B<sub>3</sub>, 1B<sub>4</sub>, only the
position of the center of mass in the first direction 201 plays
a role. The storage or Positioning of the center of mass with
respect to the second direction and vertical direction 203 is
not relevant here and is at the discretion of the expert.
Accordingly, for the considerations concerning the co-rotating
drive devices 1A<sub>1</sub>,
1A<sub>2</sub>, only the position of the center of
mass in the second direction plays a role.
The storage or Positioning of the center of mass with respect to
the first direction 201 and vertical direction 203 is not
relevant in this case. However, if the aircraft is to exploit
the positive effect of the Magnus effect both when moving
forward in the first direction and when moving forward in the
second direction, the optimal position of the center of mass is
determined by both equations (27a) and (27b), so that only its
positioning with respect to the vertical direction 203 remains
freely selectable. (iii) According to the invention, it is also
possible for aspects of the first case design (i) and the second
case design (ii) to be combined with one another. This means
that the center of mass S, 250 of the aircraft can be displaced
from the geometric center of the aircraft fuselage 220 in such a
way that the conditions (17), (20), (25a), (25b) for a stable
hovering flight are met at certain predetermined, even
different, thrust vectors/thrust forces of individual propulsion
devices.
For practical applications, it is not always possible to place
the masses in an aircraft in such a way that the total center of
mass S, 250 can be positioned exactly at the optimal position
described in (i), (ii) or (iii) (for case (i)
l<sub>1</sub>= l<sub>2</sub>and/or
l<sub>3</sub>= l<sub>4</sub>; for case
(ii) cf. equations (26a), (26b), (27a), (27b)). Therefore, an
area is defined below in which the center of mass S, 250 can
lie, so that it is still possible to support the torque
compensation with the thrust forces / thrust vectors
F<sub>1</sub>, 2001, F<sub>2</sub>, 2002
of the pairs of drive devices 1A<sub>1</sub>,
1A<sub>2</sub>or the torque compensation with the
thrust forces / thrust vectors F<sub>3</sub>, 2003,
F<sub>4</sub>, 2004 of the pairs of drive devices
1B<sub>3</sub>, 1B<sub>4</sub>.
For this purpose, it is first assumed that one of the drive
devices 1A<sub>1</sub>, 1A<sub>2</sub>,
1B<sub>3</sub>, 1B<sub>4</sub> has a
maximum permissible (i.d. R. predetermined) thrust / maximum
permissible thrust vector of F<sub>i,max</sub>. It
is assumed that F<sub>i,max</sub>is greater than or
equal to the thrust forces
F<sub>i,opt</sub>corresponding to the optimal
configuration (as already described in more detail in connection
with the first aspect of the invention). Taking into account the
momentum theorem according to equation (17), the first result is
<img file="imgf000062_0001.tif" frnum="0001" he="8"
id="imgf000062_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0063" wi="118"/>
and thus a maximum permissible thrust vector ratio of <img
file="imgf000062_0002.tif" frnum="0001" he="11"
id="imgf000062_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0064" wi="42"/> For
the case <img file="imgf000062_0003.tif" frnum="0001" he="10"
id="imgf000062_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0065" wi="119"/>,
the minimum permissible thrust vector ratio is <img
file="imgf000062_0004.tif" frnum="0001" he="18"
id="imgf000062_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0066" wi="44"/>
Using the boundary condition of equation (23),
F<sub>12</sub>= F<sub>34</sub>, in
equations (17) and (20), the result is <img
file="imgf000062_0005.tif" frnum="0001" he="13"
id="imgf000062_0005" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0067" wi="54"/>
These thrust vector ratios
F<sub>1</sub>/F<sub>2</sub> are also
described by equation (25a); Using the latter, the maximum
permissible distance in the first direction 201 of the centre of
mass S, 250 from the geometric centre of the front propulsion
device 1A<sub>1</sub> in forward flight, to <img
file="imgf000062_0006.tif" frnum="0001" he="19"
id="imgf000062_0006" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0068" wi="94"/> and
the minimum permissible distance in the first direction 201 of
the centre of mass S, 250 from the geometric centre of the front
propulsion device 1A<sub>1</sub> in forward flight,
to can be calculated.
<img file="imgf000063_0001.tif" frnum="0001" he="16"
id="imgf000063_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0069" wi="97"/> If
the centre of mass S, 250 lies outside the range <img
file="imgf000063_0002.tif" frnum="0001" he="12"
id="imgf000063_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0070" wi="46"/>
(28) with respect to the first direction 201, it is no longer
possible to compensate for the deviation of the centre of mass
S, 250 from the optimum position according to equation (26a) by
the thrust forces F<sub>1</sub>, 2001 or
F<sub>2</sub>, 2002 of the drive devices
1A<sub>1</sub>, 1A<sub>2</sub>. By means
of equation (24a), the permissible range (28) in the first
direction can also be specified with respect to the axes of
rotation of the drive devices 1B<sub>3</sub>,
1B<sub>4</sub>or the straight line passing through
the drive devices 1B<sub>3</sub>,
1B<sub>4</sub>.
Then the area is specified using the distance
l<sub>34</sub>and corresponding limits
l<sub>34,min</sub>and
l<sub>34,max</sub>. Analogously, one obtains for the
permissible range of the center of mass S, 250 with respect to
the second direction (here: y-direction) (29) where <img
file="imgf000063_0003.tif" frnum="0001" he="74"
id="imgf000063_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0071" wi="102"/>
Using equation (24b), the permissible range (29) in the second
direction can also be specified with respect to the axes of
rotation of the drive devices 1A<sub>1</sub>,
1A<sub>2</sub>or the straight line that runs through
the drive devices 1A<sub>1</sub>,
1A<sub>2</sub>. Then the Specify the area using the
distance l<sub>12</sub>and corresponding limits
l<sub>12,min</sub>and
l<sub>12,max</sub>.
Figure 7d serves to illustrate the region described above in
which the center of mass S, 250 of the aircraft can expediently
be located for implementing the invention according to the
second aspect. Fig. 7d shows schematically an aircraft with
propulsion devices 1A<sub>1</sub>,
1A<sub>2</sub>and 1B<sub>3</sub>,
1B<sub>4</sub>, which corresponds to that described
in connection with Figures 7a and 7b. It is further assumed that
the drive devices 1A<sub>1</sub>,
1A<sub>2</sub>1B<sub>3</sub>,
1B<sub>4</sub> are structurally identical (see Case
(ii) above), here in particular: a<sub>1</sub>=
a<sub>2</sub>= a<sub>3</sub>=
a<sub>4</sub>= a<sub>12</sub>=
a<sub>34</sub>≡ a. First, it is further assumed that
the torque compensation is to be realized purely via the
position of the center of mass S, 250, whereby <img
file="imgf000064_0002.tif" frnum="0001" he="10"
id="imgf000064_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0072" wi="102"/>
applies.
For the embodiment of the aircraft considered here, a total
weight force of F<sub>s</sub>= 1000 ^ generated by a
corresponding total mass is assumed; the characteristic number /
the proportionality factor is typically a = 0.2 m; the distance
of the drive devices in the first direction (in Figures 7a, 7b:
x-direction) is defined as l = l<sub>1</sub>+
l<sub>2</sub>= 2 m. Based on these specifications,
equations (25a) and (26a) result in an optimal center of mass
position of <img file="imgf000064_0001.tif" frnum="0001"
he="39" id="imgf000064_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0073"
wi="120"/>. If it is not possible to set the total center of
mass S, 250 of the aircraft to the position
l<sub>1,opt</sub>= 1.1 m, a range is now defined in
which the position of the
center of mass S, 250, so that the torque compensation can be
compensated by the thrust forces / thrust vectors of the drive
devices 1A<sub>1</sub>, 1A<sub>2</sub>,
1B<sub>3</sub>, 1B<sub>4</sub>. For this
purpose, the maximum permissible thrust that can be generated by
each of the first-direction drive devices
1A<sub>1</sub>, 1A<sub>2</sub>, which is
suitably controlled by the thrust vector control, is defined as
<img file="imgf000065_0003.tif" frnum="0001" he="9"
id="imgf000065_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0074" wi="51"/>. By
this specification and using the boundary condition according to
equation (23), , the maximum and minimum permissible thrust
vector ratio <img file="imgf000065_0004.tif" frnum="0001"
he="10" id="imgf000065_0004" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0075"
wi="33"/> <img file="imgf000065_0001.tif" frnum="0001"
he="26" id="imgf000065_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0076"
wi="48"/> and the range for the position of the center of
mass according to equation (28) <img
file="imgf000065_0002.tif" frnum="0001" he="33"
id="imgf000065_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0077" wi="106"/>
can be calculated.
This means that in this example the centre of mass with respect
to the first direction is conveniently located 1.05 to 1.15 m
from the geometric centre of the front of the two propulsion
devices 1A<sub>1</sub> with respect to the forward
flight direction. Using equation (27a), this result can also be
expressed as follows: the center of mass is conveniently located
0.05 to 0.15 m from the axis of rotation of the drive devices
1B<sub>3</sub>, 1B<sub>4</sub> or the
straight line passing through the two drive devices
1B<sub>3</sub>, 1B<sub>4</sub> with
respect to the first direction. Assuming that the aircraft is
designed symmetrically, the same values are obtained for the
range permitted for l<sub>3</sub>. Taking both
conditions into account, the centre of mass S, 250 is
conveniently positioned with respect to the plane defined by the
propulsion devices and the aircraft fuselage within a quadratic
region determined by the limits given.
Positioning in the vertical direction is not restricted.
Finally, it is stated that the second aspect of the invention is
not limited to aircraft with four propulsion devices. It is also
possible, for example, for more than two drive devices to be
arranged along one direction or for some drive devices to be
arranged on straight lines parallel to one another. The
equations (17), (18), (20), (21) are now generalized for an
aircraft according to the invention with n, n > 2, propulsion
devices 1C. Figure 8a shows a section of such an aircraft in
plan view; Figure 8b shows a section of the aircraft in side
view. We assume that the mathematical-physical description of
the aircraft is done in a Cartesian coordinate system with x-,
y- and z-axes. The n propulsion devices 1C and the aircraft
fuselage 220 are located in the xy plane, i.e. in the plane with
z = 0. The propulsion devices 1C are arranged around the
aircraft fuselage 220 (star-shaped) in the plane z = 0.
The origin O of the coordinate system lies in the geometric
center of the aircraft. Then let r<sub>i</sub>, i ∈
{1, … ,n} be the position vectors to the i-th thrust vector of
the corresponding propulsion devices 1C. Let s be the position
vector to the center of mass S, 250 of the aircraft. The vector
of the aircraft's weight force is F<sub>s</sub>=
(0,0,F<sub>s</sub>). In the case of stable hovering
flight of interest here, the thrust vectors <img
file="imgf000066_0005.tif" frnum="0001" he="7"
id="imgf000066_0005" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0078" wi="28"/> , ,
generated by the propulsion devices are: <img
file="imgf000066_0003.tif" frnum="0001" he="9"
id="imgf000066_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0079" wi="71"/>
Finally, in hovering flight, the propulsion devices rotate with
the angular velocity <img file="imgf000066_0004.tif"
frnum="0001" he="7" id="imgf000066_0004" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0080"
wi="28"/> where these are vectors that lie in the xy plane.
The torque that must be applied by the aircraft, already
described in detail in the introduction, is then, taking into
account the relationship M<sub>i</sub>=
a<sub>i</sub>* F<sub>i</sub>:
(<sub>30)</sub> <img file="imgf000066_0002.tif"
frnum="0001" he="12" id="imgf000066_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0081"
wi="77"/> The equilibrium conditions of equations (17), (18),
(20), (21) are then: (<sub>31)</sub>(32) <img
file="imgf000066_0001.tif" frnum="0001" he="19"
id="imgf000066_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0082" wi="84"/> “×”
denotes the cross product. From the angular momentum theorem,
the position vector s of the center of gravity S, 250 can be
determined as follows: With <img file="imgf000067_0001.tif"
frnum="0001" he="19" id="imgf000067_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0083"
wi="95"/> using the Grassmann identity: <img
file="imgf000067_0002.tif" frnum="0001" he="8"
id="imgf000067_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0084" wi="122"/>
and taking into account that F<sub>i</sub> is always
normal to (r<sub>i</sub>- s), whereby their scalar
product is zero: <img file="imgf000067_0003.tif" frnum="0001"
he="9" id="imgf000067_0003" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0085"
wi="94"/> one first obtains <img
file="imgf000067_0004.tif" frnum="0001" he="23"
id="imgf000067_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0086" wi="122"/>
and finally the position vector s of the center of gravity S,
250: (<sub>33)</sub> <img
file="imgf000067_0005.tif" frnum="0001" he="13"
id="imgf000067_0005" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0087" wi="56"/>
Equation (32) provides two conditions, namely one for the
x-components of the torques, and another for their y-components.
Equations (31) and (32) (taking into account the context of
equation (30)) thus provide three conditions for the magnitudes
F<sub>i</sub>of the n thrust vectors and the two
coordinates of the center of gravity. This leaves n + 2 – 3 = n
– 1 of the n thrust vectors that can be specified. A suitable
range with respect to the plane in which the propulsion devices
1C and the aircraft fuselage 220 are located can thus also be
determined in the more general case considered here by varying
the thrust vectors of one or more of the n propulsion devices 1C
and requiring that the center of mass S, 250 must be positioned
in such a way (cf. Equation (33)) that the torque compensation
according to equation (32) can be compensated by the thrust
forces / thrust vectors of the drive devices. For this purpose,
it may be appropriate to drive one or more of the drive devices
with the maximum permissible thrust. Since the optimal position
of the centre of mass in the configuration under consideration
is determined by the intersection of two straight lines, it is
convenient to consider the first direction and/or the second
direction along which the propulsion devices rotate
substantially in the same direction as the directions
perpendicular to two given forward flight directions.
In this case, the The center of mass is thus preferably (i)
displaced from the geometric center with respect to a direction
perpendicular to the first direction and lying in the plane
defined by the propulsion devices and the aircraft fuselage,
and/or (ii) displaced from the geometric center with respect to
a direction perpendicular to the second direction and lying in
the plane defined by the propulsion devices and the aircraft
fuselage. Figure 9a shows an embodiment according to the second
aspect of the invention, in which three drive devices
1C<sub>1</sub>, 1C<sub>2</sub>,
1C<sub>3</sub> are arranged around the aircraft
fuselage 220 of the aircraft in such a way that they form the
corners of an equilateral triangle. It is shown that the drive
devices 1C<sub>1</sub>and
1C<sub>2</sub>are arranged on a straight
g<sub>1</sub>; g<sub>1</sub>defines the
first direction according to the invention.
In the embodiment shown, the drive device
1C<sub>3</sub>is arranged on a straight line
g<sub>2</sub>, which is perpendicular to the
straight line g<sub>1</sub> and runs through the
geometric center G of the aircraft, in this case through the
geometric center G of the equilateral triangle. The straight
line g<sub>2</sub>defines the second direction
according to the invention. The rotary axes
5C<sub>1</sub>, 5C<sub>2</sub>,
5C<sub>3</sub>of the drive devices
1C<sub>1</sub>,
1C<sub>2</sub>respectively.
1C<sub>3</sub>point towards (or away from) the
geometric center G. In the embodiment shown, only the axis of
rotation 5C<sub>3</sub>is aligned exactly parallel
to the second direction defined by g<sub>2</sub>.
The rotation axes 5C<sub>1</sub>,
5C<sub>2</sub>are not exactly parallel to the first
direction defined by g<sub>1</sub>.
As can be seen from simple geometric considerations, the axis of
rotation 5C<sub>1</sub>encloses an angle
Į<sub>1</sub>= 30° with the straight line
g<sub>1</sub>(first direction); likewise, the axis
of rotation 5C<sub>2</sub>encloses an angle
Į<sub>2</sub>= 30° with the straight line
g<sub>1</sub>(first direction). Such angles fall
under the inventive concept of axes of rotation aligned
substantially in the first direction. Preferably, the angles can
also be chosen smaller. If the drive devices
1C<sub>1</sub>, 1C<sub>2</sub> rotate
about these axes of rotation essentially in the same direction
of rotation as defined above, the effect according to the
invention also occurs here when the aircraft moves in particular
along the second direction defined by g<sub>2</sub>.
Rotate the drive devices 1C<sub>1</sub>,
1C<sub>3</sub>about the corresponding rotation axes
5C<sub>1</sub>resp.
5C<sub>3</sub>essentially in the same direction of
rotation, the advantage according to the invention has a
positive effect, particularly in the case of a movement along
the angle bisector
1C<sub>1</sub>-G-1C<sub>3</sub>. Figure
9b shows an aircraft according to the second aspect of the
invention, in which seven propulsion devices
1C<sub>1</sub>, ..., 1C<sub>7</sub> are
arranged in a plane around the aircraft fuselage 220. The drive
devices 1C<sub>1</sub>, …,
1C<sub>7</sub> are arranged such that they form the
corners of a regular heptagon. Each of the drive devices is
mounted so as to be rotatable about an associated axis of
rotation 5C<sub>1</sub>, …,
5C<sub>7</sub>. In the embodiment shown, the
rotation axes 5C<sub>1</sub>, …,
5C<sub>7</sub>point to the geometric center G of the
aircraft or the heptagon. This embodiment is intended to
describe the general case in which (an odd number) n = 2j + 1, j
> 1, propulsion devices 1C<sub>1</sub>, ...,
1C<sub>2j + 1</sub> are arranged around the aircraft
fuselage 220 such that they form the corners of a regular (2j +
1)-corner.
The corresponding rotation axes 5C<sub>1</sub>, …,
5C<sub>2j + 1</sub>should point towards (or away
from) the geometric center G. In this case, it is expedient to
consider a first straight line g<sub>1</sub> which
passes through two drive devices 1C<sub>1</sub>and
1C<sub>(n + 1)/2</sub>; this straight line
g<sub>1</sub> defines the first direction according
to the invention. Furthermore, it is expedient to consider a
second straight line g<sub>2</sub>which passes
through two drive devices 1C<sub>k</sub>and
1C<sub>k + (n – 1)/2</sub>, <img
file="imgf000069_0002.tif" frnum="0001" he="9"
id="imgf000069_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0088"
wi="56"/>rounding its argument to the nearest whole number);
this straight line g<sub>2</sub>defines the second
direction according to the invention.
Using simple geometric considerations, it can be seen that each
of the rotation axes 5C<sub>1</sub>and 5C(n + 1)/2
encloses an angle a1 = a(n+1)/2 =90°/n with the straight line g1
(i.e. the first direction); the same applies to the angles
between the rotation axes 5Ck and 5C<sub>k + (n –
1)/2</sub>and the straight line g<sub>2</sub>:
a<sub>k</sub>= a<sub>k+(n-1)/2</sub>=
90°/n. In the case of the heptagon shown,
a<sub>1</sub>= a<sub>3</sub>=
a<sub>4</sub>= a<sub>6</sub>= 90°/7 ^
12.86°. For a regular (2j + 1)-gon, it is therefore advantageous
if the axes of rotation of the drive devices, which lie on the
straight lines g<sub>1</sub>and
g<sub>2</sub>defining the first and second
directions, enclose an angle between 0° and 90°/n with the
associated straight lines g<sub>1</sub>and
g<sub>2</sub>. The angle İ between
g<sub>1</sub>and g<sub>2</sub>is given
by as is easily deduced from <img file="imgf000069_0001.tif"
frnum="0001" he="12" id="imgf000069_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0089"
wi="31"/> using geometric relations.
Figure 9c shows an aircraft according to the second aspect of
the invention, in which six propulsion devices
1C<sub>1</sub>, ..., 1C<sub>6</sub> are
arranged in a plane around the aircraft fuselage 220. The drive
devices 1C<sub>1</sub>, …,
1C<sub>6</sub> are arranged such that they form the
corners of a regular hexagon. Each of the drive devices is
mounted so as to be rotatable about an associated axis of
rotation 5C<sub>1</sub>, …,
5C<sub>6</sub>. In the embodiment shown the rotation
axes 5C<sub>1</sub>, …,
5C<sub>6</sub>point to the geometric center G of the
aircraft or the hexagon. This embodiment is intended to describe
the general case in which (an even number) n = 2j, j > 1,
drive devices 1C<sub>1</sub>, ...,
1C<sub>2j</sub> are arranged around the aircraft
fuselage 220 such that they form the corners of a regular
2j-gon.
The aircraft fuselage 220 is located between two opposite
propulsion devices of the regular 2j-corner. The corresponding
rotation axes 5C<sub>1</sub>, …,
5C<sub>2j</sub>should point towards (or away from)
the geometric center G. In this case, it is expedient to
consider a first straight line g<sub>1</sub> which
passes through two drive devices 1C<sub>1</sub>and
1C<sub>n /2 + 1</sub>; this straight line
g<sub>1</sub> defines the first direction according
to the invention. Furthermore, it is expedient to consider a
second straight line g<sub>2</sub>which runs through
two drive devices 1C<sub>k</sub>and 1C<sub>k
+n /2</sub>, <img file="imgf000070_0001.tif"
frnum="0001" he="9" id="imgf000070_0001" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0090"
wi="31"/> this straight line g<sub>2</sub>defines
the second direction according to the invention.
In the embodiment shown, the axes of rotation of the drive
devices arranged on the straight lines
g<sub>1</sub>and g<sub>2</sub>are
aligned (mathematically exactly) parallel in the first and
second directions, respectively. Particularly preferably, the
first and second directions are substantially perpendicular,
especially perpendicular, to each other; this is always possible
when the drive devices form the corners of a 4j-gon. The angle İ
between g<sub>1</sub>and
g<sub>2</sub>(i.e. first and second direction) is
given for the 2j-corner described above by <img
file="imgf000070_0002.tif" frnum="0001" he="9"
id="imgf000070_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0091" wi="50"/> as
can easily be seen by using geometric relations. From the above
embodiments it can be seen that for the arrangement of any (even
or odd) number of drive devices at the corners of a regular
n-gon it is sufficient if the axes of rotation of the drive
devices, which lie on the straight lines
g<sub>1</sub>and g<sub>2</sub> defining
the first and second directions, enclose an angle between 0° and
30° (for n > 2), particularly preferably between 0° and 18°
(for n > 3) with the associated straight lines
g<sub>1</sub>and g<sub>2</sub>;
furthermore it is expedient if the straight lines
g<sub>1</sub>and g<sub>2</sub>(and thus
the first and second directions) are selected such that the
angle between them is greater than or equal to 60°, especially
in the range between 60° and 90°.
Appendix (Derivation of the relationship between thrust and
power) The derivation of thrust and power is based on the jet
theory, whereby a drive device / rotor is considered as an
actuator disk without information about the number and shape of
the rotor blades. The flow is simplified as one-dimensional,
quasi-stationary, incompressible and frictionless, which results
in the corresponding conservation laws for mass, momentum and
energy. In the following, all sizes in the actuator disk plane
are marked with the additional index a, all sizes far above the
actuator disk plane (inflow plane) with the additional index 0
and all sizes far below the actuator disk plane (outflow plane)
with the additional index λ. Law of conservation of mass: Based
on the assumptions regarding the flow, the mass flow follows
from the law of conservation of mass: <img
file="imgf000071_0001.tif" frnum="0001" he="46"
id="imgf000071_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0092" wi="126"/>
Law of conservation of momentum: Based on the assumptions
regarding the flow, the thrust follows from the law of
conservation of momentum: <img file="imgf000071_0002.tif"
frnum="0001" he="25" id="imgf000071_0002" img-content="drawing"
img-format="tif" inline="no" orientation="portrait" pgnum="0093"
wi="109"/> Since the rotor does not influence the inflow
plane, v<sub>i0</sub>= 0, from which <img
file="imgf000071_0003.tif" frnum="0001" he="9"
id="imgf000071_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0094" wi="34"/>
follows.
By inserting the mass flow in the actuator disk plane we get:
<img file="imgf000072_0001.tif" frnum="0001" he="16"
id="imgf000072_0001" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0095" wi="69"/> Law
of conservation of energy: Based on the assumptions regarding
the flow and v<sub>i0</sub>= 0, the law of
conservation of energy gives the power or work done per unit of
time for the actuator disk plane: <img
file="imgf000072_0002.tif" frnum="0001" he="17"
id="imgf000072_0002" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0096" wi="163"/> By
inserting the mass flow in the actuator disk plane we get:
<img file="imgf000072_0003.tif" frnum="0001" he="14"
id="imgf000072_0003" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0097" wi="98"/>
Using the thrust force we get the power as: <img
file="imgf000072_0004.tif" frnum="0001" he="16"
id="imgf000072_0004" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0098" wi="89"/>
These equations give us the relationship <img
file="imgf000072_0005.tif" frnum="0001" he="13"
id="imgf000072_0005" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0099" wi="45"/>
directly, whereby the power can be expressed as <img
file="imgf000072_0006.tif" frnum="0001" he="15"
id="imgf000072_0006" img-content="drawing" img-format="tif"
inline="no" orientation="portrait" pgnum="0100" wi="102"/>.
[0002]
List of reference numerals 100 Aircraft according to the first
aspect of the invention 120 Aircraft body 1F Drive devices
arranged in the front area 1R Drive devices arranged in the rear
area 101 Longitudinal direction of the aircraft 100 102
Transverse direction of the aircraft 100 103 Vertical direction
of the aircraft 100 121 Bow / nose of the aircraft 100 122 Rear
of the aircraft 100 1 Drive device 2 Rotor blades of a drive
device 3 Pitch mechanism 31 Coupling device 32 Coupling point 33
Bearing device 4 Offset device 11 Disk of the drive device 1 5
Axis of rotation of a drive device 51 Direction of rotation of a
drive device 52 Radius of the drive device 61 Connecting element
7, 71 Force on a drive device / thrust vector 72 Contribution of
the Magnus effect to the thrust vector 8 Torque on a drive
device 9 Air flow 110 Arrow indicating the direction of movement
of the aircraft 150 Center of mass of the aircraft 100 701 Total
thrust vector generated by the propulsion devices 1F 702 Total
thrust vector generated by the propulsion devices 1R 81 Total
torque generated by the propulsion devices 1F 82 Total torque
generated by the propulsion devices 1R
131 Distance in the longitudinal direction between the center of
mass 150 and the propulsion devices 1F 132 Distance in the
longitudinal direction between the center of mass 150 and the
propulsion devices 1R 160 Weight of the aircraft
g<sub>i</sub>i-th straight line along which the
propulsion devices are arranged n<sub>i</sub>number
of propulsion devices arranged along the straight line
g<sub>i</sub>N total number of straight lines K
total number of propulsion devices
F<sub>ij</sub>thrust vector generated by the j-th
propulsion device arranged on the straight line gi
F<sub>i</sub>thrust vector generated by all the
propulsion devices arranged on a straight line gi
M<sub>i</sub>torque generated by all the propulsion
devices arranged on a straight line gi
x<sub>i</sub>longitudinal coordinate of the straight
line
g<sub>i</sub>X<sub>S</sub>longitudinal
coordinate of the center of mass 150 200 Aircraft according to
the second aspect of the invention 220 Aircraft fuselage 1A, 1B,
1C, 1A<sub>1</sub>, 1A<sub>2</sub>,
1B<sub>3</sub>, 1B<sub>4</sub>,
1C<sub>i</sub>Drive devices of the aircraft 200 221,
222 Arms for coupling the drive devices 1A, 1B to the aircraft
fuselage 220 201 first direction 202 second direction 203
vertical direction 5A rotation axes of the drive devices 1A 5B
rotation axes of the drive devices 1B
5C<sub>i</sub>rotation axis of the drive device
1C<sub>i</sub>α<sub>i</sub>angle between
rotation axis 5C<sub>i</sub>and first or second
direction ε angle between first and second direction 250 Center
of mass of the aircraft 200 G geometric center O origin of the
coordinate system 2001, 2002 thrust vectors generated by the
propulsion devices 1A<sub>1</sub>or
1A<sub>2</sub>
2003, 2004 Thrust vectors generated by the propulsion devices
1B<sub>3</sub>resp. 1B<sub>4</sub> are
generated 2012 total thrust vector generated by the propulsion
devices 1A<sub>1</sub>,
1A<sub>2</sub>2034 total thrust vector generated by
the propulsion devices 1B<sub>3</sub>,
1B<sub>4</sub> 230 distance of the thrust vectors /
geometric centers of the propulsion devices
1A<sub>1</sub>, 1A<sub>2</sub> 231
distance of the thrust vector 2001 from the center of mass 250
of the aircraft 232 distance of the thrust vector 2002 from the
center of mass 250 of the aircraft 234 distance between the
center of mass 250 and the thrust vector
F<sub>34</sub>, 2034 / the axes of rotation of the
propulsion devices 1B<sub>3</sub>,
1B<sub>4</sub>/ the straight line passing through
the Propulsion devices 1B<sub>3</sub>,
1B<sub>4</sub>runs 235 Distance of the thrust
vectors / geometric centers of the propulsion devices
1B<sub>3</sub>, 1B<sub>4</sub>236
Distance of the thrust vector 2003 from the center of mass 250
of the aircraft 237 Distance of the thrust vector 2004 from the
center of mass 250 of the aircraft 239 Distance between the
center of mass 250 and the thrust vector
F<sub>12</sub>, 2012 / the axes of rotation of the
propulsion devices 1A<sub>1</sub>,
1A<sub>2</sub>/ the straight line that runs through
the propulsion devices 1A<sub>1</sub>,
1A<sub>2</sub>runs 251 Direction of rotation of the
propulsion devices 1B<sub>3</sub>,
1B<sub>4</sub>280 total of the propulsion devices
1B<sub>3</sub>, 1B<sub>4</sub>generated
torque 285 total torque generated by the drive devices
1A<sub>1</sub>, 1A<sub>2</sub>