Applied Mathematics and Mechanics

, Volume 9, Issue 8, pp 793–804 | Cite as

Perturbation analyses for the postbuckling of simply supported rectangular plates under uniaxial compression

  • Shen Hui-shen
  • Zhang Jian-wu


In this paper, applving perturbation method to von Kármán nonlinear large deflection equations of plates by taking deflection as perturbation parameter, the posibuckling behavior of simply supported rectangular plates under uniaxial compresion is investigated. Two types of in-plane boundary conditions are now considered and the effects of initial imperfections are also studied. It is found that the theoretical results are in good agreement with experiments.

The method suggested in this paper which has not been found in previous papers is rather simple and easy for the postbuckling analysis of rectangular plates.


Uniaxial Compression Rectangular Plate Initial Imperfection Postbuckling Behavior Imperfection Parameter 
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Copyright information

© SUT 1988

Authors and Affiliations

  • Shen Hui-shen
    • 1
  • Zhang Jian-wu
    • 1
  1. 1.Shanghai Jiaotong UniversityShanghai

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