| 悬臂半无限大板弯曲的边界积分公式 |
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| 引用本文： | 刘俊,董正筑,李法善.悬臂半无限大板弯曲的边界积分公式[J].固体力学学报,2009,30(1). |
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| 作者姓名： | 刘俊 董正筑 李法善 |
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| 作者单位： | 1. 华东计算技术研究所,上海,200233;中国矿业大学理学院,徐州,221008
2. 中国矿业大学理学院,徐州,221008 |
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| 基金项目： | 国家重点基础研究发展规划(973计划)，国家自然科学基金 |
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| 摘 要： | 根据双调和方程边值问题的边界积分公式,求得了一般载荷作用下悬臂半无限大板的弯曲解,在此基础上求解了不同边界条件下几种半无限大板的弯曲问题.其解式收敛速度快、计算精度高,计算过程相对简单,并与相应有限元解进行了对比分析.
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| 关 键 词： | 悬臂半无限大板 边界积分公式 非对称弯曲 Green函数 |
BOUNDARY INTEGRAL FORMULA FOR BENDING OF CLAMPED SEMI-INFINITE PLATE |
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| Jun Liu,Zhengzhu Dong,Fashan Li.BOUNDARY INTEGRAL FORMULA FOR BENDING OF CLAMPED SEMI-INFINITE PLATE[J].Acta Mechnica Solida Sinica,2009,30(1). |
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| Authors: | Jun Liu Zhengzhu Dong Fashan Li |
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| Institution: | 1 College of Science;China University of Mining and Technology;Xuzhou;221008;2 East-China Research Institute of Computer Technology;Shanghai;200233 |
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| Abstract: | Based on the boundary integral formula for the boundary value problems of bi-harmonic equations,genernal bending solutions to clamped semi-infinite plates under arbitrary lateral loads are obtained. Then, some bending problems of clamped semi-infinite plates with different boundary conditions are solved. These solutions are with higher convergence and computational accuracy together with a relatively simple calculation processr. Comparison with the finite element results is conducted finally. |
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| Keywords: | clamped semi-infinite plate boundary integral formula non-symmetric bending Green function |
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