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多夹层板壳的非线性理论及应用(Ⅰ)──基本理论

吴建成 潘立宙

吴建成, 潘立宙. 多夹层板壳的非线性理论及应用(Ⅰ)──基本理论[J]. 应用数学和力学, 1997, 18(1): 19-27.
引用本文: 吴建成, 潘立宙. 多夹层板壳的非线性理论及应用(Ⅰ)──基本理论[J]. 应用数学和力学, 1997, 18(1): 19-27.
Wu Jiancheng, Pan Lizhou. Nonlnear Theory of Multilayer Sandwich Shells and Its Application(Ⅰ)-General Theory[J]. Applied Mathematics and Mechanics, 1997, 18(1): 19-27.
Citation: Wu Jiancheng, Pan Lizhou. Nonlnear Theory of Multilayer Sandwich Shells and Its Application(Ⅰ)-General Theory[J]. Applied Mathematics and Mechanics, 1997, 18(1): 19-27.

多夹层板壳的非线性理论及应用(Ⅰ)──基本理论

Nonlnear Theory of Multilayer Sandwich Shells and Its Application(Ⅰ)-General Theory

  • 摘要: 本文建立了多夹层壳体小应变状态下的中转动二阶大挠度的理论,接着进行适当的简化,获得了中转动、中小转动的一阶大挠度的理论.
  • [1] B. D. Liaw and R. W. Little, Theory of bending multilayer sandwich plates, AIAAJournal, 5 (1967), 301-304.
    [2] J. P. Wong and A. E. Salama, Elastic stability of multilayer sandwich plates,Developments in Mechanics, 4 (1968), 289-304.
    [3] J. J. Azar, Bending theory of multilayer orthotropic sandwich plates. AIAA Journal, 6(1968), 2166-2169.
    [4] F. Abdulhadi. Vibration of multicore orthotropic sandwich plates, ASME paper 71-vibr-48, Toronto, Ontario, Canada (1971).
    [5] J. J. Azar, Elastic constants for multilayered sandwich cylinders shells, AIAA Journal, 8(1970), 157-158.v[6] B. D. Liaw. A bending theory for multilayer anisotropic conical shells, AeronauticalQuarrterly, 20 (1969), 61-74.
    [6] S. V. Rajagopal et al., Large-deflection and nonlinear vibration of multilayered sandwichplates, AIAA Journal, 25 (1978), 130-133.
    [7] W. Z. Chien. The intrinsic theory of thin shells and plates, Part III, Application to thinshells, Quart. Appl. Math., 2 (1944), 120-135.
    [8] W. Pietraszkiewiez, Lagrangian description and incremental formulation in the non-lineartheory of thin shells, Int. J. Nonlinear Mech., 19 (1985), 115-139.
    [9] 刘人怀、朱金福.《夹层壳非线性理论》,机械工业出版社(1993).
    [10] F. John, Estimates for the derivatives of the stresses in a thin shell and interior shellequations, Comm Pure and Appl. Math., 18 (1965), 235-267.
    [11] W. T. Koiter. The intrinsic equations of shell theory with some applications, Mech.Today, 5 (1980), 139-154.
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出版历程
  • 收稿日期:  1995-08-01
  • 刊出日期:  1997-01-15

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