| 应用功的互等定理求解一种厚矩形板的弯曲 |
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| 引用本文： | 金燕生,常锦才,刘元慧.应用功的互等定理求解一种厚矩形板的弯曲[J].燕山大学学报,2007,31(1):19-22. |
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| 作者姓名： | 金燕生 常锦才 刘元慧 |
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| 作者单位： | 1. 燕山大学,理学院,河北,秦皇岛,066004
2. 燕山大学,理学院,河北,秦皇岛,066004;河北理工大学,理学院,河北,唐山,063009 |
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| 摘 要： | 给出了中厚板功的互等定理,并应用该定理得到均布载荷下两邻边简支另两边自由且有角支点支承厚矩形板弯曲的封闭解析解,计算与数值结果表明功的互等法是求解中厚板弯曲问题的一个简明有效的方法.
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| 关 键 词： | 功的互等法:功的互等定理 中厚板弯曲 LU三角分解法 |
| 文章编号： | 1007-791X(2007)01-0019-04 |
| 修稿时间： | 2006年9月28日 |
Calculation of thick rectangular plate by reciprocal theorem |
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| JIN Yan-sheng,CHANG Jin-cai,LIU Yuan-hui.Calculation of thick rectangular plate by reciprocal theorem[J].Journal of Yanshan University,2007,31(1):19-22. |
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| Authors: | JIN Yan-sheng CHANG Jin-cai LIU Yuan-hui |
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| Abstract: | The reciprocal theorem was introduced in this paper, then the closed analytical solutions of a thick rectangular plate under uniformly pressure was obtained. It is showed that reciprocal theorem method is simply and effective to the problems of the bending of thick plate from the calculation and the numerical values. |
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| Keywords: | reciprocal theorem method reciprocal theorem bending of thick plate LU factorization method |
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