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中厚板的弹性屈曲和后屈曲

沈惠申

沈惠申. 中厚板的弹性屈曲和后屈曲[J]. 应用数学和力学, 1990, 11(4): 341-350.
引用本文: 沈惠申. 中厚板的弹性屈曲和后屈曲[J]. 应用数学和力学, 1990, 11(4): 341-350.
Shen Hui-shen. Buckling and Postbuckling of Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1990, 11(4): 341-350.
Citation: Shen Hui-shen. Buckling and Postbuckling of Moderately Thick Plates[J]. Applied Mathematics and Mechanics, 1990, 11(4): 341-350.

中厚板的弹性屈曲和后屈曲

Buckling and Postbuckling of Moderately Thick Plates

  • 摘要: 本文采用Reissner假定考虑横向剪切变形的影响,导出弹性矩形板大挠度方程.本文讨论考虑横向剪切变形的矩形板的弹性屈曲和后屈曲.采用文[8]提供的摄动方法,给出了完善和非完善中厚板的后屈曲平衡路径,并与经典薄板理论结果进行了比较.
  • [1] Ziegler,H.,The influence of in-plane deformations on the buckling loads of isotropic elastic plates,Ing.-Arch.,53(1983),61-72.
    [2] Reissner,E.,On the theory of bending of elastic plates,J.Math.Phys.,23(1944),184-191.
    [3] Reissner,E.,On the effect of transverse shear deformation on the bending of elastic plates.J.Appl.Mech.,12(1945),69-77.
    [4] Srinivas.S.and A.K.Rao,Buckling of thick rectangular plates,AIAA J..7(1969). 1645-1646.
    [5] Reddy,J.N.and N.D.Phan,Stability and vibration of isotropic orthotropic and laminated plates according to a high-order shear deformation theory,J.Sound Vibration.98(1985). 157-170.
    [6] Senthilnathan,N.R.,S.P.Lim,K.H.Lee and S.T.Chow,Buckling of shear-deformable plate,AIAA J.,25(1987),1268-1271.
    [7] Singh,G.and Y.V.K.Sadasiva Rao,Stability of thick angle-ply composite plates.Computers and Structures,29(1988),317-322.
    [8] 沈惠申、张建武,单向压缩简支矩形板后屈曲摄动分析,应用数学和力学,9, 8 (1988), 741-762.
    [9] 沈惠申,矩形板屈曲和后屈曲的弹塑性分析,应用数学和力学.(待发表)
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出版历程
  • 收稿日期:  1988-12-08
  • 刊出日期:  1990-04-15

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