| 变厚度正交各向异性矩形板非线性非对称弯曲问题的基本方程 |
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| 引用本文： | 黄家寅. 变厚度正交各向异性矩形板非线性非对称弯曲问题的基本方程[J]. 应用数学和力学, 2004, 25(7): 741-744 |
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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： | 在不计体力，考虑了薄膜力引起在z方向的分力，导出了厚度线性变化的正交各向异性矩形板非线性非对称弯曲问题的本构方程；在引进无量纲变量和引入三个小参数的条件下，给出了挠度函数W(x,y)和应力函数Φ(x,y)的无量纲化的支配方程形式．
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| 关 键 词： | 变厚度正交各向异性矩形板 非线性非对称弯曲 平衡方程 协调方程 本构方程 无量纲化方程 |
| 文章编号： | 1000-0887(2004)07-0741-04 |
| 收稿时间： | 2002-05-25 |
| 修稿时间： | 2002-05-25 |
Basic Equations of the Problem of the Non-linear Unsymmetrical Bending for Orthotropic Rectangular Thin Plate With Variable Thickness |
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| HUANG Jia-yin. Basic Equations of the Problem of the Non-linear Unsymmetrical Bending for Orthotropic Rectangular Thin Plate With Variable Thickness[J]. Applied Mathematics and Mechanics, 2004, 25(7): 741-744 |
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| Authors: | HUANG Jia-yin |
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| Affiliation: | Department of Physics, College of Science and Engineering, Qindao University, Qindao 266071, P. R. China |
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| Abstract: | Under the case of ignoring the body forces and considering components caused by diversion of membrane in vertical direction (z direction),the constitutive equations of the problem of the non-linear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness are given;then introducing the dimensionless variables and three small parameters,the dimensionaless governing equations of the deflection function and stress function are given. |
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| Keywords: | orthotropic rectangular thin plate with variable thickness nonlinear unsymmetrical bending equilibrium equation compatibility equation constitutive equation dimensionless equation |
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