Liu Ren-huai, Cheng Zhen-qiang. Nonlinear Bending of Simply Supported Rectangular Sandwich Plates[J]. Applied Mathematics and Mechanics, 1993, 14(3): 203-218.
Citation: Liu Ren-huai, Cheng Zhen-qiang. Nonlinear Bending of Simply Supported Rectangular Sandwich Plates[J]. Applied Mathematics and Mechanics, 1993, 14(3): 203-218.

Nonlinear Bending of Simply Supported Rectangular Sandwich Plates

  • Received Date: 1991-11-22
  • Publish Date: 1993-03-15
  • In this paper,fundamental equations and boundary conditions of the nonlinear bending theory for a rectangular sandwicl slate with a soft core are derived by means of the method of calculus of variations.Then the nonlinear bending for a simply supported rectangular sandwich plate under the uniform lateral load is investigated by use of the perturbation method and a quite accurate analytic solution is obtained.
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  • [1]
    Reissner,E.,Finite deflection of sandwich plates,J.Aeron.Sci.,15,7(1948),435;17,2(1950),125.
    [2]
    刘人怀.夹层圆板的非线性弯曲.应用数学和力学,2(2)(1981),173.
    [3]
    刘人怀,在边缘力矩作用下夹层圆板的非线性轴对称弯曲问题,中国科学技术大学学报,10(2)(1980).56.
    [4]
    刘人怀、施云方,夹层圆板大挠度问题的精确解,应用数学和力学,3(1)(1982),11.
    [5]
    Liu Ren-huai,Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads,Progress in Applied Mechanics(edited by Yeh Kai-yuan),Martinus Nijhoff Publishers,Dordrecht(1987),293.
    [6]
    刘人怀、朱高秋,夹层圆板大挠度问题的进一步研究,应用数学和力学,10(12)(1989),1041.
    [7]
    刘人怀、吴建成,夹层矩形板的非线性振动,中国科学,A辑,(9)(1991).
    [8]
    Kan,H.P.and J.C.Huang,Large deflection of rectangular sandwich plates,AIAA Journal,5,9(1967),1706.
    [9]
    Alwan,A.M.,Bending of sandwich plates with large deflection,Journal of the Engineering Mechanics Division,Proceedings of the American Society of Civil Engineers,93,EM3(1967),83.
    [10]
    Kamiya,N.,Governing equations for large deflection of sandwich plates,AIAA Journal,5,9(1967),1706.
    [11]
    中国科学院北京力学研究所固体力学研究室板壳组,《夹层板壳的弯曲、稳定和振动》,科学出版社,北京(1977).
    [12]
    胡海昌,各向同性夹层板反对称小挠度的若千问题,力学学报,6(1)(1983),53.
    [13]
    Iyengar,Sundara Raja,K.T.and M.M.Naqvi,Large deflection of rectangular plates,Int.J.Non-Linear Mech.,1,2(1966),109.
    [14]
    Brown,J.C.and J.M.Harvey,Large deflections of rectangular plates subjected to uniform lateral pressure and compressive edge loading,J.Mech.Eng.Sci.,11,3(1969),305.
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