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板壳结构非线性屈曲分析的修正拉格朗日法
引用本文:董永涛,张耀春.板壳结构非线性屈曲分析的修正拉格朗日法[J].土木工程学报,1997(2).
作者姓名:董永涛  张耀春
作者单位:哈尔滨建筑大学 (董永涛),哈尔滨建筑大学(张耀春)
摘    要:本文采用退化曲壳有限单元,推导了板壳结构非线性有限元分析的、修正的拉格朗日法(Updated Lagrauge简称U.L.法,下同),并编制了非线性有限元程序.利用本文理论方法既可分析板壳的太变形问题,同时也可考虑材料进入非线性后的太应变问题.通过对一些板壳屈曲问题的分析对比,证明了本文理论方法的正确性和有效性.

关 键 词:板壳结构  屈曲分析  拉格朗日法

U.L. FORMULATION FOR NONLINEAR BUCKLING ANALYSIS OF PLATES AND SHELLS
Dong Yongtao Zhang Yaochun.U.L. FORMULATION FOR NONLINEAR BUCKLING ANALYSIS OF PLATES AND SHELLS[J].China Civil Engineering Journal,1997(2).
Authors:Dong Yongtao Zhang Yaochun
Affiliation:Harbin University of Architecture and Civil Engineering
Abstract:The Updated Lagrange (U. L. ) formulation for nonlinear finite element analysis of plates and shells is derived in this paper by adopting the degenerated curved shell element, and the computing program is worked out at the same time. In addition to the problem of plates and shells with large deformation, the problem with large strain can be solved by using the theory and method of this paper.The correctness and effectiveness of the theory and method are verified by analysing and comparing with some buckling problems of plates and shells.
Keywords:plate and shell  nonlinear buckling  Lagrange formulation    
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