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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摘要: 利用“修正的两变量法”和“混合摄动法”,引进4个小参数,对厚度线性变化的正交各向异性矩形板的非线性非对称弯曲问题进行了研究,得到了挠度函数W(x,y)和应力函数Φ(x,y)对ε1为N阶及对ε2为M阶的一致有效渐近解.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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