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轴对称壳有限变形问题的解
引用本文:谢昱,谢志成. 轴对称壳有限变形问题的解[J]. 清华大学学报(自然科学版), 1987, 0(5)
作者姓名:谢昱  谢志成
作者单位:工程力学系(谢昱),工程力学系(谢志成)
摘    要:应用合成展开法及正则摄动法研究了轴对称壳体的有限变形问题。合成法的优越性之一是可将各函数的量级明确表达出来,而不必根据具体边界条件和载况对它们进行量级分析。解题中引进的两个摄动参数δ和ε分别反映了壳体有限变形时的非线性性质和其具有边界层的性质.给出了几个算例及其和有限元法计算结果的比较,情况是令人满意的.

关 键 词:壳体  轴对称完  变形  合成展开法  摄动法  渐近解

The Solution of Axisymmetrical Shells with Finite Deformation
Xie Yu,Xie Zhicheng. The Solution of Axisymmetrical Shells with Finite Deformation[J]. Journal of Tsinghua University(Science and Technology), 1987, 0(5)
Authors:Xie Yu  Xie Zhicheng
Affiliation:Department of Engineering Mechanics
Abstract:In this paper, the composite expansion method (CEM) and regular perturbation method are applied to the solution of axisymmetrical shells with finite deformation. One of the advantages of CEM is that the deduced equations can be directly solved without analysing the functions, order against . Two perturbation parameters, and 6 which represent the boundary effects and the nonlinear behavior of finite deformation respectively, are used in the solution procedure. Several numerical examples are presented and compared with those obtained by finite element method satisfactorily.
Keywords:shell   axisymmeterical shell   deformation   composite expansion method   perturbation method   approximate solution.  
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