| 考虑地基耦合效应的矩形中厚板的非线性静力分析 |
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| 引用本文： | 肖勇刚,傅衣铭,查旭东.考虑地基耦合效应的矩形中厚板的非线性静力分析[J].工程力学,2004,21(4):189-193,198. |
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| 作者姓名： | 肖勇刚 傅衣铭 查旭东 |
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| 作者单位： | 湖南大学工程力学系,湖南,长沙,410082;长沙交通学院桥梁与结构工程系,湖南,长沙,410076;湖南大学工程力学系,湖南,长沙,410082;长沙交通学院桥梁与结构工程系,湖南,长沙,410076 |
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| 基金项目： | 国家自然科学基金资助项目(50208004)，交通部资助项目(200231582512) |
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| 摘 要： | 基于能量变分原理,考虑板的横向剪切和地基耦合效应,建立了双参数地基上弹性中厚板的非线性控制方程。应用伽辽金法对双参数地基上四边自由矩形中厚板的非线性弯曲问题进行了探讨。数值计算中考虑了系统各种参数变化对弯曲问题的影响。
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| 关 键 词： | 矩形中厚板 弹性地基 非线性 伽辽金法 静力分析 |
| 文章编号： | 1000-4750(2004)04-0189-06 |
NONLINEAR STATIC ANALYSIS OF MODERATELY THICK RECTANGULAR PLATE CONSIDERING THE COUPLED EFFECT OF ELASTIC FOUNDATION |
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| XIAO Yong-gang,FU Yi-ming,CHA Xu-dong.NONLINEAR STATIC ANALYSIS OF MODERATELY THICK RECTANGULAR PLATE CONSIDERING THE COUPLED EFFECT OF ELASTIC FOUNDATION[J].Engineering Mechanics,2004,21(4):189-193,198. |
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| Authors: | XIAO Yong-gang FU Yi-ming CHA Xu-dong |
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| Affiliation: | XIAO Yong-gang1,2,FU Yi-ming1,CHA Xu-dong2 |
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| Abstract: | In this paper, the nonlinear governing equations of moderately thick plate resting on two-parameter foundation including transverse shear deformation and coupled effect of the foundation are derived. By using of Galerkin method, the nonlinear bending behavior of moderately thick rectangular plate with four free edges on two-parameter foundation is analyzed. The effects of different parameters of the system on static bending are considered. |
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| Keywords: | moderately thick plate elastic foundation nonlinearity Galerkin method static analysis |
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