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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 被引量:2
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作者 黄家寅 《应用数学和力学》 EI CSCD 北大核心 2004年第7期745-754,共10页
 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)
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
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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
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作者 黄家寅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第7期817-826,共10页
By using “the method of modified two-variable”,“the method of mixing perturbation” and introducing four small parameters,the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate wi... By using “the method of modified two-variable”,“the method of mixing perturbation” and introducing four small parameters,the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied.And the uniformly valid asymptotic solution of Nth-order for ε_1 and Mth-order for ε_2 of the deflection functions and stress function are obtained. 展开更多
关键词 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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