摘要
采用摄动有限元法分析了板和壳体大挠度问题．摄动法可以将非线性问题转化为多个线性问题求解．有限单元法可以处理各种复杂边界条件和几何形状的力学问题．这两种方法的结合──摄动有限元法，在分析复杂非线性问题时，避免了单独使用有限单元法或摄动法所产生的困难．本文采用全量理论导出了摄动有限元的基本方程．通过实例计算，取得了较好的效果．
This poper analyses the large deflection Problems of Plate and shell by means of the Perturbation finite clement method. It is well known that the perturbation methed can convert the nonlinear Problems to the linear ones and the finite element method Can solve the mechaniCal problems of complicated boundary condition and geometric graph. So the combination of these two methane overcomes the difficultics of using any of the two mcthch solely and gives an efficient solution to many complicated nonlinear problems. All the formulas of perturbation finite element method of large deflection of paste and shell arc derived, utilizing the total theory. Through the calcutation of the practical examples, the gial results are obtaine
出处
《武汉水利电力大学学报》
CSCD
1994年第2期158-165,共8页
Engineering Journal of Wuhan University
关键词
摄动法
有限元法
板
壳
perturbation method
finite clement method
Plate
shell
large deflection
