Disk-type traveling wave ultrasonic motor and its vibration analysis

According to Kirchhoff's assumptions, this paper establishes linear system of equations for solving eigen frequency constant and mode shape. Using engineering and numerical analysis software Matlab5.2 and coefficient deter- minant searching arithmetic, eigen frequency constant and mode shapes of the stator are accurately solved corresponding to inner/outer diameter 0.1、0.3、0.35、0.6 and different modes. Furthermore, using Newton interpolation method, contribution of transverse amplitude and vibration energy are solved accurately corresponding to various modes. It offers a valid theoretical foundation for optimum design of the stator. According to results of numerical analysis, choosing principle of vibration modes is summarized.