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关于摄动有限元法中几种结构形式的摄动变分方程
引用本文:姚家骧. 关于摄动有限元法中几种结构形式的摄动变分方程[J]. 大连水产学院学报, 1994, 9(4): 49-56
作者姓名:姚家骧
摘    要:作者在分析几何非线性问题时,把摄动法引入变分方程,推导了梁、板、扁壳的各级摄动变分方程,用这些方程可以方便地进行有限元的计算。

关 键 词:摄动 几何非线性 变分

The Derivation of Variational Perturbation Equations of Several Forms of Structures in Perturbation Finite Element Method
Yao Jiaxiang. The Derivation of Variational Perturbation Equations of Several Forms of Structures in Perturbation Finite Element Method[J]. Journal of Dalian Fisheries University, 1994, 9(4): 49-56
Authors:Yao Jiaxiang
Affiliation:Department of Aquacultural Civil Engineering
Abstract:In analysing the geometrically nonlinear problems , this paper introduces the perturbation method into the variational equation, and derives the variational perturbation equations concerning geometrically non- linear problems of beams,plates and shallow shells,By means of these equations,the FEM can be conve-niently introduced to solve these problems.
Keywords:perturbation  geometrically non- linear  variation
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