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Uniformly valid asymptotic solutions of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate of four clamped edges with variable thickness

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Abstract

By using “the method of modified two-variable”, “the method of mixing perturbation” and introducing four small parameters, the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied. And the uniformly valid asymptotic solution of Nth-order for ɛ1 and Mth-order for ɛ2 of the deflection functions and stress function are obtained.

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Authors and Affiliations

  1. Department of Physics, College of Science and Engineering, Qindao University, 266071, Qindao, P.R. China

    Huang Jia-yin

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  1. Huang Jia-yin
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Additional information

Communicated by JIANG Fu-ru, Original Member of Editorial Commitee, AMM

Foundation item: the Qingdao Natural Science Foundation of China

Biography: HUANG Jia-yin (1956≈), Professor, Master

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Jia-yin, H. Uniformly valid asymptotic solutions of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate of four clamped edges with variable thickness. Appl Math Mech 25, 817–826 (2004). https://doi.org/10.1007/BF02437575

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  • DOI: https://doi.org/10.1007/BF02437575

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