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Navier solution for the elastic equilibrium problems of rectangular thin plates with variable thickness in linear and nonlinear theories

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Abstract

This paper discusses the elastic equilibrium problems of rectangular thin plates of varying thickness and simply supported on all four sides by linear and nonlinear theory. using the Navier method to seek an approach to the problem, and illustrates the solution with two examples. In conclusion, mention in made of scope of application and the convergency of the solution.

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References

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Authors and Affiliations

  1. The Building Design and Survey Institute of Dukou, Dukou, Sichuan

    Yin Si-ming

  2. The Traffic Bureau of Dukou, Dukou, Sichuan

    Ruan Sheng-huang

Authors
  1. Yin Si-ming
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  2. Ruan Sheng-huang
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Communicated by Kang Zhen-huang.

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Si-ming, Y., Sheng-huang, R. Navier solution for the elastic equilibrium problems of rectangular thin plates with variable thickness in linear and nonlinear theories. Appl Math Mech 6, 545–558 (1985). https://doi.org/10.1007/BF01876394

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  • DOI: https://doi.org/10.1007/BF01876394

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