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How Ornithopters Fly

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Cardan gear mechanism
of the ornithopter models EV1 to EV6

Note:

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1. Cardan crank mechanism in general

A cardan crank mechanism is a way of converting rotary motion into straight line motion. It was invented in the 16th century by the Italian mathematician Girolamo Cardano.

A cardan gear mechanism with a crank pin especially consists of an internal gear and a planetary gear with a crank pin. The internal gear has a diameter exactly twice the size as the planetary gear. Every crank pin on the planetary gear pitch diameter moves on a straight line of an internal gear diameter.

  • Only the main wheel in the center of the unit is driven by the motor. The axle of the planetary gear is connected to this wheel.

  • To generate the flap moving of the wing only one crank pin is needed.

  • To actively control the twisting or pitching of a flapping wing two staggered crank pins are needed. The main crank pin generates the flapping and the phase displaced movement of the control crank pin the twisting or pitching of the wing.

  • Here, in power flight the control crank pin always runs ahead of the main crank pin - like the leading edge of the wing compared to the main spare while flapping.

  • The vertical movement of both crank pins are transmitted by scotch yokes to the flapping wing (linkages please see the driving mechanism of the EV4).

  • In the gliding flight position both scotch yokes are in their stroke center and according to this also the flapping angle and the angle of setting of the wing.

  • When the drive unit in the gliding flight position is stopped in a crank dead point it is able to take any wing forces in vertical direction. Therefore a brake is not necessary.

For further details and technical data, please see:

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2. Transition between gliding and powered flight by reversing the dirction of rotation in EV1 to EV4

With each reversal of the rotation the internal gear gets rotated by 90 degrees between two corresponding blocks. It can move freely between the stops.

Prerequisite for the switching and keeping of the power flight position of the internal gear is a continuous braking force on the main crank pin or on the scotch yoke.

picture of the cardan gear animation version 1

The path line of the smaller control crank pin (control crank pin lilac, main crank pin blue) being slanted in gliding flight is good to be seen by its scotch yoke.

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3. Transition between gliding and powered flight by a step switching system with a servo in EV5 and EV6

picture of the cardan gear animation version 2
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4. Direct adjusting of the
flapping angle with an servo drive

In addition to the main drive with only one rotation direction an servo drive with a reversing rotation direction is needed.

The performance of the servo drive depends on the occurring crank forces and the desired speed control. Designed for short term use is sufficient.

picture of the cardan gear animation version 3

The flapping angle of the wings can be adjusted stageless.

For the single steps the path line of the main crank pin is represented as a white dotted line.

In this case an internal-combustion engine was designed as the main drive and an electric motor as the servo drive. This drive concept for ornithopters is very reliable, because the transition to gliding flight can also be used in case of a failure of the main drive.

Such a drive unit with changeable stroke has not been built yet.