Qiao Zong-chun. An Iteration Algorithm for Solving Postbuckling Equilibrium Path of Simply-Supported Rectangular Plates under Biaxial Compression[J]. Applied Mathematics and Mechanics, 1993, 14(6): 489-497.
Citation: Qiao Zong-chun. An Iteration Algorithm for Solving Postbuckling Equilibrium Path of Simply-Supported Rectangular Plates under Biaxial Compression[J]. Applied Mathematics and Mechanics, 1993, 14(6): 489-497.

An Iteration Algorithm for Solving Postbuckling Equilibrium Path of Simply-Supported Rectangular Plates under Biaxial Compression

  • Received Date: 1992-03-17
  • Publish Date: 1993-06-15
  • In this paper, on the basis of von Kármán large deflection equations and its double trigonometric series solution, we present a simple, fast and effective iteration algorithm for solving simply-supported rectangular plate subjected to biaxial compression.
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  • [1]
    Walker,A,C.,T he postbuckling behavior of sim ply-supported square plates,Aeronaut.Q.,20(1969),203-222.
    [2]
    A,C,沃耳密尔,《柔韧板与柔韧壳》,卢文达等译,科学出版社(1959).
    [3]
    张建武、范祖尧,简支矩形板后屈曲平衡路径的一个摄动解,上海交通大学学报,13(5)(1984),101-112.
    [4]
    陈伟、范祖尧,加权残数法分析受压简支矩形板后屈曲平衡路径,《第三届全国加权残值法会议论文集》.西南交通大学出版社(1989),65-71.
    [5]
    Chia Chuen-yuan,Nonlinear Analysis of Plates,McGraw-Hill(1980).
    [6]
    Thompson,J.M.T.and G.W,Hunt.A General Theory of Elostie Stability,John Wilep&Sons,London(1973).
    [7]
    Narayanan,R.and N,E.Shanmugam,Compressive strength of biagially loaded plates,Plated Structures,Stability and Strength,Ed.by R.Narayanan,Applied Sciencn P ublishers(1983),195-220.
    [8]
    沈惠申、张建武,双向压缩简支矩形板的后屈曲性态,应用力学学报,6(2)(1989).
    [9]
    Seide,P.,Large deflections of rectangular membranes under uniform pressure,Int,T,Non-Linear Mech,,12(1977),397-406.
    [10]
    Seide,P.,L arge deflections of prestressed simply supported rectangular plates under uniform pressure,Int,I,Non-Lineor Mech.,13(1978),145-156.
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