Uniformly Valid Asymptotic Solutions of the Nonlinear Unsymmetrical Bending for Orthotropic Rectangular Thin Plate of Four Clamped Edges With Variable Thickness

HUANG Jia-yin

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(7): 745-754

HUANG Jia-yin. Uniformly Valid Asymptotic Solutions of the Nonlinear Unsymmetrical Bending for Orthotropic Rectangular Thin Plate of Four Clamped Edges With Variable Thickness[J]. Applied Mathematics and Mechanics, 2004, 25(7): 745-754.

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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

HUANG Jia-yin

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

Received Date: 2002-05-25
Rev Recd Date: 2004-03-28
Publish Date: 2004-07-15

Abstract

Abstract

By using "the method of modified two-variable","the method of mixing perturbation" and introducing four small parameters,the problem of the non-linear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied.And the uniformly valid asymptotic solution of N th-order for eqsilon 1 and M th-order for epsilon 2 of the deflection functions and stress function are obtained.

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References(8)

References

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