Abstract: 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.