变厚度中厚板和中厚壳的大挠度分析

Analysis of Large Deflections for Plate and Shell of Variable Thickness

采用摄动有限元法分析了变厚度中厚板和中厚壳的大挠度问题。文中借助虚功原理导出了这类板壳的一般非线性有限元方程，同时利用摄动展开求得了逐级摄动有限元的递推算式。算例表明，摄动有限元法分析变厚度中厚板壳问题同样能获得效率高精度好的结果。

In this paper, the large deflections of plate and shell of variable thickness are discussed by meansof the perturbation finite element method. The general finite element equations of this kinds of plateand shell are deduced by using virtual work principle, and then the recurrence formulas of perturbation finite element are obtained by perturbation development. It is well known that solving the nonlinear finite element equations directly must consume much time. The combination of this two methods easily changes a non-linear problem into a series of linear problems. The example shows a good result.