The Problem of the Non-Linear Unsymmetrical Bending for Cylindrically Orthotropic Circular Thin Plate with Variable Thickness

Huang Jiayin; Qin Shengli; Xu Xiaoping

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(3): 261-276

Huang Jiayin, Qin Shengli, Xu Xiaoping. The Problem of the Non-Linear Unsymmetrical Bending for Cylindrically Orthotropic Circular Thin Plate with Variable Thickness[J]. Applied Mathematics and Mechanics, 1997, 18(3): 261-276.

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The Problem of the Non-Linear Unsymmetrical Bending for Cylindrically Orthotropic Circular Thin Plate with Variable Thickness

Department of Physics Qufu Normal University, Qufu Shandong 273165, P. R. China

Received Date: 1995-10-30
Rev Recd Date: 1996-10-05
Publish Date: 1997-03-15

Abstract

Abstract

To begin with, in this paper the governing equations of the problem of the non linear unsymmetrical bending for cylindrically orthotropic circular thin plate with variable thickness are derived. By using "the method of two-variable" and introducing four Small parameters. the problem of the non-linear unsymmetrical bending for cylindrically orthotropic circular thin plate with linear variable thickness are studied,and the uniformly valid asymptotic solution of Nth-order for ε₁ and Mth-order for ε₂ are oblained.

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References(11)

References

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