缺陷对结构临界载荷的影响

朱正佑; 丛玉豪

缺陷对结构临界载荷的影响

朱正佑¹,
丛玉豪²

1.
上海大学数学系上海市应用数学和力学研究所, 上海 200072;
2.
上海师范大学数学科学学院, 上海 200234

基金项目: 国家自然科学基金资助项目(19371039)

详细信息

作者简介:
朱正佑(1937~ ),男,浙江人,教授.

中图分类号: O343
计量
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- 被引次数: 0
出版历程
- 收稿日期: 1998-10-07
- 修回日期: 1999-04-20
- 刊出日期: 1999-10-15

The Influence of Imperfections Upon the Critical Load of Structures

Zhu Zhengyou¹,
Cong Yuhao²

1.
Shanghai Institute of Applied Mathematics and Mechanics;Department of Mathematics, Shanghai University, Shanghai 200072, P R China;
2.
College of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, P R China

摘要

摘要: 利用普适开折理论研究了多重缺陷对工程结构临界载荷的影响.对音叉问题给出了由缺陷引起的结构临界载荷改变量的下界估计公式及相应的简单、有效的数值计算方法.
- 多重缺陷 /
- 临界载荷 /
- 音叉 /
- 普适开折
Abstract: By means of the theory of universal unfolding, the influence of multi-imperfections upon the critical load of structure in engineering is analysed in this paper. For the pitchfork problem, a lower bound of increments of the critical loads caused by imperfections of the structures is given. A simple and available numerical method for computing the lower bound is described.
- imperfections /
- critical load /
- pitchfork /
- universal unfolding

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参考文献(12)

[1]	Thomson J M T,Hunt G W.A General Theory of Elastic Stability[M].New York:John Wiley,1973.
[2]	Hunt G W.Imperfection sensitivity of semi-symmetric branching[J].Proc Royal Soc London,Ser A,1977,357(2):193～211.
[3]	Koiter W T.On the stability of elastic equilibrium[D].Ph D dissertation.English translation,Delft Holland:NASA Technical translation,1967,F10:833.
[4]	Niwa Y,Watanabe E,Nakagawa N.Catastrophe and imperfection sensitivity of two-degree-of freedom systems[J].Proc Japan Soc Civil Engineers,1981,307(1):99～111.
[5]	Kirkpatrick S W,Holmen B S.Effects of initial imperfections on dynamic buckling of shells[J].J Engrg Mech Div,1988,115(5):1025～1093.
[6]	Elishakoff I.Stochastic simulation of an initial imperfection data bank for isotropic shell with general inperfections[A].In:I Elishakoff et al eds.Buckling of Structures[C].Amsterdam:Elsevier,1988,195～209.
[7]	Lindberg H E.Random imperfections for dynamic pulse buckling[J].J Engrg Mech Div,1988,114(6):1144～1165.
[8]	Murota K,Ikada K.Critical initial imperfection of structures[J].Int J Solid Struct,1990,26(8):865～886.
[9]	Murota K,Ikada K.Critical imperfection of symmetric structures[J].SIAM Appl Math,1991,51(5):1222～1254.
[10]	Golubitsky M,Schaeffer D G.Singularities and Groups in Bifurcation Theory[M].Vol.1,Berlin Heidelberg,New York,Tokyo:Springer-Verlag,1984.
[11]	Arnold V I.Singularity theory[J].London Math Soc Lecture Note Series,51,Berlin Herdelberg,New York,Tokyo:Springer-Verlag,1981.
[12]	Chow S N,Hale J K,Mallet-Paret J.Application of generic bifurcations[J].Arch Rat Mech Anal,1975,59(2):159～188.