| 四边简支厚板的三维弹性分析 |
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| 引用本文： | 杨正光,仲政,戴瑛,何福保.四边简支厚板的三维弹性分析[J].同济大学学报(自然科学版),2003,31(12):1430-1433. |
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| 作者姓名： | 杨正光 仲政 戴瑛 何福保 |
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| 作者单位： | 1. 同济大学,固体力学教育部重点实验室,上海,200092
2. 上海大学,建筑工程学院,上海,200072 |
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| 基金项目： | 国家杰出青年科学基金资助项目 ( 10 12 5 2 0 9)，国家自然科学基金资助项目 ( 10 0 72 0 41)，高等学校优秀青年教师教学科研奖励计划资助项目 |
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| 摘 要： | 将三维矩形板的位移变量按双三角级数展开 ,导出位移形式的平衡方程 ,以 3个位移分量及其一阶导数为状态变量 ,建立状态方程 .考虑四边简支边界条件 ,得到了四边简支正交各向异性三维矩形板的精确解 .由给出的均布载荷下的不同厚跨比及不同长宽比的矩形板计算结果可知 ,与已有的理论解以及有限元计算结果非常吻合 ,且级数收敛速度很快
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| 关 键 词： | 三维厚板 状态空间法 正交各向异性材料 |
| 文章编号： | 0253-374X(2003)12-1430-04 |
| 修稿时间： | 2002年12月4日 |
Three Dimensional Elasticity Analysis of Simple Supported Orthotropic Rectangular Thick Plates |
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| YANG Zheng guang ,ZHONG Zheng ,DAI Ying ,HE Fu bao.Three Dimensional Elasticity Analysis of Simple Supported Orthotropic Rectangular Thick Plates[J].Journal of Tongji University(Natural Science),2003,31(12):1430-1433. |
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| Authors: | YANG Zheng guang ZHONG Zheng DAI Ying HE Fu bao |
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| Institution: | YANG Zheng guang 1,ZHONG Zheng 1,DAI Ying 1,HE Fu bao 2 |
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| Abstract: | The displacement functions of a 3D orthotropic rectangular thick plate with simple supported boundary conditions were expanded in the forms of double trigonometric series.The state equations were established based on the governing equations,in which the displacements and the first differential of displacements were assumed as state variables.The analytical solution of a 3D simple supported thick plate was derived by using the state space approach.It's noted that the presented method gives exact results and shows nice convergence and good agreement compared with the results obtained from other analytical methods and finite element methods. |
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| Keywords: | three dimensional thick plate state space approach orthotropic material |
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