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A perturbation-variational solution of the large deflection of rectangular plates under uniform load

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Abstract

In this paper, von Kármàn's set of nonlinear eavation for large deflection of rectangular plates is at first converted into severol sets of linear eangtions by taking contral dimensionless deflection as perturbation parameter, and then, the sets of linear eangtions for plates with various ratios of length to width are solved with application of variational method. The analytical expressions for displacements and stresses as well as formalas for numerical calculation are worked out. The figures of monimma deflection-lead and maximum stress with ratio γ of length to width as a narameter are given in this paper. Through comparison, it is found that the results of this paper are amite in aecord with experiments.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Pan Li-zhou & Wang Shu

Authors
  1. Pan Li-zhou
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  2. Wang Shu
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Additional information

The abstract of the paper has beed contained by Proceedings of international Conference on Nontinear Mechanics, Shanghai (1985).

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Li-zhou, P., Shu, W. A perturbation-variational solution of the large deflection of rectangular plates under uniform load. Appl Math Mech 7, 727–740 (1986). https://doi.org/10.1007/BF01900606

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  • DOI: https://doi.org/10.1007/BF01900606

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