Applied Mathematics and Mechanics

, Volume 25, Issue 7, pp 817–826

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

• Huang Jia-yin
Article

## 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.

### Key words

orthotropic rectangular thin plate with varible thickness four clampled edge nonlinear unsymmetrical bending method of modified two-variable method of mixing perturbation uniformly valid asymptotic solution

O343.5

74K20 74B20

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