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缺陷对结构临界载荷的影响

朱正佑 丛玉豪

朱正佑, 丛玉豪. 缺陷对结构临界载荷的影响[J]. 应用数学和力学, 1999, 20(10): 1033-1039.
引用本文: 朱正佑, 丛玉豪. 缺陷对结构临界载荷的影响[J]. 应用数学和力学, 1999, 20(10): 1033-1039.
Zhu Zhengyou, Cong Yuhao. The Influence of Imperfections Upon the Critical Load of Structures[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1033-1039.
Citation: Zhu Zhengyou, Cong Yuhao. The Influence of Imperfections Upon the Critical Load of Structures[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1033-1039.

缺陷对结构临界载荷的影响

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

The Influence of Imperfections Upon the Critical Load of Structures

  • 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.
  • [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.
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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

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