| 圆薄板非对称大变形弯曲问题 |
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| 引用本文： | 王林祥,王新志.圆薄板非对称大变形弯曲问题[J].应用数学和力学,1992,13(12):1103-1115. |
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| 作者姓名： | 王林祥 王新志 |
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| 作者单位： | 甘肃工业大学基础课教学研究部 兰州
(王林祥，王新志)，甘肃工业大学基础课教学研究部 兰州(邱平) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文首先导出圆薄板非轴对称大变形问题的位移基本方程及边界条件.利用变换和摄动法将非线性位移方程线性化,得到了近似边值问题.作为算例,文中研究了圆薄板在较复杂载荷作用下的非线性弯曲问题.
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| 关 键 词： | 薄板 圆形 弯曲 非对称 大变形 |
Nonsymmetrical Large Deformation Bending Problem of Circular Thin Plates |
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| Wang Lin-xiang Wang Xin-zhi Qiu Ping.Nonsymmetrical Large Deformation Bending Problem of Circular Thin Plates[J].Applied Mathematics and Mechanics,1992,13(12):1103-1115. |
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| Authors: | Wang Lin-xiang Wang Xin-zhi Qiu Ping |
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| Abstract: | To begin with, in this paper, the displacement governing equations and the boundary conditions of nousymmetrical large deflection problem of circular thin plates are derived. By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained. As an example, the nonlinear bending problem of circular thin plates subjected to comparatively complex loads is studied. |
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| Keywords: | plate displacement nonlinear transformation perturbation method |
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