中文摘要：

基于Mindlin理论从声学应用角度,推导了中厚圆环弯曲振动的横向与径向位移解析表达式,得到了四种不同边界条件下的频率方程,进行数值求解得到的频率与有限元模拟结果基本相符,结论对厚圆环及厚盘的弯曲振动辐射器的设计提供理论参考和频率调试依据。

英文摘要：

The transverse and radial displacement in the analytic expressions of thick ring bending vibration are deduced based on Mindlin theory from the application point of view by Acoustics. Four kinds of different boundary conditions the frequency equation was obtained and The numerical solution of the obtained frequency and finite element simulation results are consistent with the basic. The conclusion on the design of thick ring and a thick disc flexural vibration radiator provides the theory reference and the frequency of debugging basis.