Shen Hui-shen, Zhang Jian-wu. Perturbation Analyses for the Postbuckling of Simply Supported Rectangular Plates under Uniaxial Compression[J]. Applied Mathematics and Mechanics, 1988, 9(8): 741-752.
Citation: Shen Hui-shen, Zhang Jian-wu. Perturbation Analyses for the Postbuckling of Simply Supported Rectangular Plates under Uniaxial Compression[J]. Applied Mathematics and Mechanics, 1988, 9(8): 741-752.

Perturbation Analyses for the Postbuckling of Simply Supported Rectangular Plates under Uniaxial Compression

  • Received Date: 1987-03-10
  • Publish Date: 1988-08-15
  • In this paper,applying perturbation method to von Karman nonlinear large deftection equations of plates by taking deflection as perturbation parameter,the postbuckling behavior of simply supported rectangular plates under uniaxiai compression is insestigated.Two types of in-plane bouridary conditions are now considered and the effecis of initial imperfections are also studied.It is found that the theoretical results are in good agreement with experiments.The method suggested in this paper which has not been found in previous papers is rather simple and easy for the postbuckling analysis of rectangular plates.
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  • [1]
    Stein,M.,Loads and deformations of buckled rectangular plates,NASA TR R-40(1959).
    [2]
    Walker,A.C.,The post-buckling behavior of simply-supported square plates,Aero,Quart.,20(1969),203-222.
    [3]
    Supple,W.J.,Change of wave-form of plates in the post-buckling range,Int.J.Solids Structures,6(1970),1243-1258.
    [4]
    Stoebel,G.J.and W.H.Warner,Stability and secondary bifurcation for von Krmn plates,J.Elasticity,3(1973),185-202.
    [5]
    Dombourian,E.M.,C.V.Smith and R.L.Carlson,A perturbation solution to a plate postbuckling problem,Int.J.Non-Linear Mech.,11(1976),49-58.
    [6]
    Uemura,M.and O.Byon,Secondary buckling of a flat plate under uniaxial compression,Part 1:Theoretical analysis of simply supported flat plate,Int.J.Non-Linear Mech.,12(1977),355-370.
    [7]
    Nakamura,T.and K.Uetani,The secondary buckling and post-secondary-buckling behaviors of rectangular plates,Int.J.Mech.Sci.,21(1979),265-286.
    [8]
    Carnoy,E.G.and T.J.R.Hughes,Finite element analysis of the secondary buckling of a flat plate under uniaxial compression,Int.J.Non-Linear Mech.,18(1983),167-175.
    [9]
    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,18,5(1984),101-112.
    [10]
    张建武、范祖尧,压缩简支矩形板二次屈曲和二次分枝点分析,应用力学,3,3(1986),1-23.
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