一类变厚度固支圆板热弹耦合的振动分析  

Analysis of Vibration of Thermoelastic and Variable Thickness Round Plate with Clamped Boundary Condition

作　　者：李志刚[1] 任怀玉[1] 树学锋[1] 

机构地区：[1]太原理工大学应用力学研究所,山西太原030024

出　　处：《太原理工大学学报》2005年第6期673-675,共3页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(10372067)

摘　　要：对一类轴对称变厚度圆板非线性热弹耦合自由振动进行了研究。在周边固支边界条件下,用Galerkin方法得到该问题的非线性常微分方程组,在此基础上给出了该方程组的数值解,并且讨论了板的初始位移、热弹耦合系数和厚度系数等参数对板的振动频率及振幅的影响。The basic equation of nonlinear thermoelastic vibration of round plate with variable thickness was proposed in this paper. A nonlinear differential equation about time was obtained by using Galerkin method for clamped boundary condition. Effects of some different vibration factors were discussed.

关 键 词：变厚度圆板 热弹耦合 非线性振动 

分 类 号：O344.3[理学—固体力学]