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The solution of large deflection problem of thin circular plate by the method of composite expansion

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Abstract

In this paper, the method of composite expansion in perturbation theory is used for the solution of large deflection problem of thin circular plate. In this method, the outer field solution and the inner boundary layer solution are combined together to satisfy all the boundary conditions. In this paper, Hencky's membrane solution is used for the first approximation in outer field solution, and then the second approximate solution is obtained. The inner boundary layer solution is found on the bases of boundary layer coordinate. In this paper, the reciprocal ratio of maximum deflection and thickness of the plate is used as the small parameter. The results of this paper improves quite a bit in comparison with the results obtained in 1948 by Chien Wei-zang.

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References

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Authors and Affiliations

  1. Shanghai University of Technology, Shanghai

    Chien Wei-zang

  2. Chongqing Institute of Architectural Engineering, Chongqing

    Chen Shan-lin

Authors
  1. Chien Wei-zang
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  2. Chen Shan-lin
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Wei-zang, C., Shan-lin, C. The solution of large deflection problem of thin circular plate by the method of composite expansion. Appl Math Mech 6, 103–118 (1985). https://doi.org/10.1007/BF01874949

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  • DOI: https://doi.org/10.1007/BF01874949

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