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第 35 卷第 3 期哈尔滨工业大学学报 Vol 35 No 3

2 0 0 3 年 3 月 JOURNAL OF HARB IN INSTITU TE OF TECHNOLO GY Mar. , 2003

板壳结构屈曲分析的非线性有限元法
杨娜1 ,2 , 沈世钊1
(1. 哈尔滨工业大学土木工程学院, 黑龙江哈尔滨 150090 ; 2. 北方交通大学土建学院, 北京 100044)
摘要: 为进行板壳结构的屈曲分析. 采用三维退化曲壳元离散板壳结构,在 TL 列式下推导了考虑双重非
线性的单元切线刚度矩阵,提出采用罚单元法处理结构加载边的位移约束条件. 应用所编制的程序,进行了
平板、曲壳以及板式门架的双重非线性屈曲分析. 对比分析表明了方法的可靠性和有效性.
关键词: 三维退化曲壳元;板壳结构;物理非线性;几何非线性;罚单元;屈曲分析
中图分类号: TU391 文献标识码: A 文章编号: 0367 - 6234(2003) 03 - 0338 - 04
Finite element analysis for nonlinear buckling of plates and shells
YAN G Na1 ,2 SHEN Shi zhao1
(1. School of Civil Engineering , Harbin Institute of Technology , Harbin 150090 , China ; 2. Civil and Constructions Engineer
ing College , Northern Jiaotong University , Beijing 100044 , China)
Abstract : The plates and shells are discreted by degenerated shell element with nine nodes and the buckling
property and analyzed for element tangent stiffness matrix with consideration accorded material nonlinearity
and geometrical nonlinearity. A penalty element is adopted to consider displacement restraint condition of
loading boundary. Using the correlative program , buckling analysis was made with plates , shells and portal
frame made of plates. parison indicates that the present theory and the suggested method has great
accuracy and reliability.
Key words : degenerated shell element ;plates and shells ; m