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四边简支对称正交层合矩形板的非线性弯曲问题

刘人怀 何陵辉

刘人怀, 何陵辉. 四边简支对称正交层合矩形板的非线性弯曲问题[J]. 应用数学和力学, 1990, 11(9): 753-759.
引用本文: 刘人怀, 何陵辉. 四边简支对称正交层合矩形板的非线性弯曲问题[J]. 应用数学和力学, 1990, 11(9): 753-759.
Liu Reu-huai, He Ling-hui. Nonlinear Bending of Simply Supported Symmetric Laminated Cross-Ply Rectangular Plates[J]. Applied Mathematics and Mechanics, 1990, 11(9): 753-759.
Citation: Liu Reu-huai, He Ling-hui. Nonlinear Bending of Simply Supported Symmetric Laminated Cross-Ply Rectangular Plates[J]. Applied Mathematics and Mechanics, 1990, 11(9): 753-759.

四边简支对称正交层合矩形板的非线性弯曲问题

Nonlinear Bending of Simply Supported Symmetric Laminated Cross-Ply Rectangular Plates

  • 摘要: 本文在von Kármán型板理论的基础上,采用双重Fourier级数方法,研究了对称正交层合矩形板在简支边条件下,承受任意分布横向载荷和面内载荷联合作用的非线性弯曲问题,得到了满足控制方程和边界条件的解.
  • [1] Лехнидкий С.Г.,Анцбоmролные Пласmнцкц,Гостехиздат,Москва(1947).中译本:列赫尼茨基,《各向异性板》,科学出版社,北京(1983),
    [2] Stavsky, Y., On the general theory of heterogeneous aeolotropic plates, Aeronaut. Q., 16(1964), 29.
    [3] Whitney, J. M. and A. W. Leissa, Analysis of heterogeneous anisotropic plates, ASME J. Appl. Mech., 36(1969), 261.
    [4] Turvey, G.J. and W.H. Wittrick, The large deflection and postbuckling behaviour of some laminated plates, Aeronaut. Q., 24(1973), 77.
    [5] Chia, C. Y., Large deflections of heterogeneous anisotropic rectangular plates, Int.J. Solids Struct., 10(1974), 965.
    [6] Chia, C. Y. and M. K. Prabhakara, Large deflection of unsymmetric cross-plyandangle-ply plates, J. Mech. Eng. Sci., 18(1976), 179.
    [7] Zaghloul, S. A. and J. B. Kennedy, Nonlinear behaviour of symmetrically laminated plates, ASME J. Appl. Mech., 42(1975), 234.
    [8] Prabhakara, M. K. and C. Y. Chia, Finite deflections of unsymmetrically layered anisotropic rectangular plates subjected to the combined action of transverse and inplane loads, ASMEJ. Appl. Mech., 42(1975), SI7.
    [9] Prabhakara, M. K. and C. Y. Chia, Nonlinear analysis of laminated cross-ply plates, J. Eng. Mech. Div., Proc. ASCE, 103EM4(1977), 749.
    [10] Prabhakara, M. K., Finite deflections of unsymmetric angle-ply anisotropic rectangular plates under edge moments, ASME J. Appl. Mech., 44(1977), 171.
    [11] Chandra, R., Nonlinear bending of antisymmetric angle-ply laminated plates, Fib. Sci. and Tech., 10(1977), 123.
    [12] 周次青,对称正交铺设矩形叠层板的非线性弯曲,应用数学和力学,6, 9 (1985), 819.
    [13] 周次青,不对称的各向异性叠层矩形板的非线性弯曲(I),应用数学和力学,7, 11 (1986),1003.
    [14] 周次青,对称铺设各向异性叠层矩形板的非线性弯曲,应用数学和力学,9, 3 (1988), 267.
    [15] Chia, C.Y., Nonlinear bending of unsymmetric angle-ply plates with edges elastically restrained against rotation, Acta Mech., 63(1984), 201.
    [16] Chia, C. Y., Large deflection of unsymmetrical laminates with mixed boundary conditions, Int. J. Non-Linear Mech., 20(1985), 273.
    [17] Chia, C. Y., Nonlinear Analysis of Plates, McGraw-Hill, New York(1980).
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出版历程
  • 收稿日期:  1989-11-13
  • 刊出日期:  1990-09-15

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