Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (4): 367-376.

• 论文 • 上一篇    下一篇

BUCKLING AND POSTBUCKLING OF MODERATELY THICK PLATES

沈惠申   

  1. Shanghai Jiaotong University, Shanghai
  • 收稿日期:1988-12-08 出版日期:1990-04-18 发布日期:1990-04-18

BUCKLING AND POSTBUCKLING OF MODERATELY THICK PLATES

Shen Hui-shen   

  1. Shanghai Jiaotong University, Shanghai
  • Received:1988-12-08 Online:1990-04-18 Published:1990-04-18

摘要: This paper gives the basic differential equations for finite deflections of elastic plates according to Reissner’s approximate stress distributions. The buckling and postbuckling problems of elastic rectangular plates, including the effect of transverse shear deformation, are solved and discussed, by using perturbation method suggested in ref. [8]. The postbuckling equilibrium paths of perfect and imperfect moderately thick rectangular plates are presented and compared with the results based on thin plate theory.

关键词: double-deck reticulated circular shallow spherical shell, nonlinear stability, equivalent continuum method, modified iteration method, stationary complementary energy principle

Abstract: This paper gives the basic differential equations for finite deflections of elastic plates according to Reissner’s approximate stress distributions. The buckling and postbuckling problems of elastic rectangular plates, including the effect of transverse shear deformation, are solved and discussed, by using perturbation method suggested in ref. [8]. The postbuckling equilibrium paths of perfect and imperfect moderately thick rectangular plates are presented and compared with the results based on thin plate theory.

Key words: double-deck reticulated circular shallow spherical shell, nonlinear stability, equivalent continuum method, modified iteration method, stationary complementary energy principle

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