基于位移型控制方程的圆板热后屈曲分析

Thermal post-buckling analysis of circular plate based on displacement type control equation

本文推导了圆板位移型热后屈曲方程，在设定挠度试函数后，由微分方程精确求出径向位移，然后用Galerkin法消去另一方程的残差，试函数由Legendre多项式构成，结果表明：本文方法是有效的，有关结果可供设计圆板时参考。

The displacment type thermal post buckling control equations of circular plate has been deduced. The Galerkin's technique was used with Legendre's multinomial expansion as a trial function. It is shown that methed used in this paper is an efficient. Some results are of benefit to design of circular plates.