变厚度圆柱型正交各向异性圆形薄板的非线性非对称弯曲问题

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

摘要: 本文首先导出变厚度圆柱型正交各向异性圆形薄板的非线性非对称弯曲的基本方程,利用“两变量法”,引进四个小参数,对厚度线性变化的圆柱型正交各向异性圆形薄板的非线性非对称弯曲问题进行研究,得到了挠度函数W(r,θ)和应力函数F(r,θ)对ε₁为N阶及对ε₂为M阶的一致有效渐近解.
- 变厚度正交各向异性圆板 /
- 非线性非对称弯曲 /
- 两变量法 /
- 一致有效渐近解
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.
- orthotropic circular plate with variable thickness /
- non-linear unsymmetrical bending /
- method of two-variable /
- the uniformly valid asymptotic solution

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