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Vibration wave driven motor

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TLDR
In this paper, an elastic body of an elliptic shape is provided where different degrees of stiffness or rigidity are available with the arcuate portions and the straight portions, and the ratio between the distortion energy and the vibration energy that part in the generation of the natural frequency for the A vibration mode is arranged virtually equal to that ratio for the B vibration mode, thus enabling the matching of frequencies for both A and B modes.
Abstract
In a vibration wave driven motor, an elastic body of an elliptic shape is provided where different degrees of stiffness or rigidity are available with the arcuate portions and the straight portions, and the ratio between the distortion energy and the vibration energy that part in the generation of the natural frequency for the A vibration mode is arranged virtually equal to that ratio for the B vibration mode, thus enabling the matching of frequencies for both A and B modes.

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References
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