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

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Abstract

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.

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Authors and Affiliations

  1. Shanghai Jiaotong University, Shanghai

    Shen Hui-shen & Zhang Jian-wu

Authors
  1. Shen Hui-shen
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  2. Zhang Jian-wu
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Communicated by Chien Wei-zang

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Hui-shen, S., Jian-wu, Z. Perturbation analyses for the postbuckling of simply supported rectangular plates under uniaxial compression. Appl Math Mech 9, 793–804 (1988). https://doi.org/10.1007/BF02465403

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  • DOI: https://doi.org/10.1007/BF02465403

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