摘要
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.
出处
《应用力学学报》
CAS
CSCD
北大核心
1996年第1期127-132,共6页
Chinese Journal of Applied Mechanics
基金
光华基金
关键词
摄动法
有限元法
中厚度
板壳
大挠度
perturbation method, finite element method, Plate and shell with moderate thickness, largedeflection.