| 四边固定变厚度正交各向异性矩形板的非线性非对称弯曲问题的一致有效渐近解 |
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| 引用本文： | 黄家寅.四边固定变厚度正交各向异性矩形板的非线性非对称弯曲问题的一致有效渐近解[J].应用数学和力学,2004,25(7):745-754. |
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| 作者姓名： | 黄家寅 |
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| 作者单位： | 青岛大学 理工学院 物理系,青岛 266071 |
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| 基金项目： | 青岛市自然科学基金资助项目 |
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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．
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| 关 键 词： | 变厚度正交各向异性矩形板 四边固定 非线性非对称弯曲 修正的两变量法 混合摄动法 一致有效渐近解 |
| 文章编号： | 1000-0887(2004)07-0745-10 |
| 收稿时间： | 2002-05-25 |
| 修稿时间： | 2002年5月25日 |
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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| 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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| Authors: | HUANG Jia-yin |
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| Institution: | Department of Physics, College of Science and Engineering, Qindao University, Qindao 266071, P. R. China |
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| 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 Nth-order for eqsilon 1 and Mth-order for epsilon 2 of the deflection functions and stress function are obtained. |
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| Keywords: | orthotropic rectangular thin plate with variable thickness four clampled edge nonlinear unsymmetrical bending method of modified two-variable method of mixing perturbation uniformly valid asymptotic solution |
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