| 弹性地基上四边自由厚矩形板的弯曲问题解 |
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| 引用本文： | 李文兰,付宝连,杨志安. 弹性地基上四边自由厚矩形板的弯曲问题解[J]. 天津大学学报(自然科学与工程技术版), 2000, 33(1): 72-76 |
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| 作者姓名： | 李文兰 付宝连 杨志安 |
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| 作者单位： | 李文兰（天津大学机械工程学院，天津 300072）;付宝连（燕山大学，秦皇岛066004）;杨志安（唐山大学，唐山063000） |
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| 摘 要： | 在Ｒｅｉｓｓｎｅｒ厚板理论基础是。利用功的互等定理法和迭加法求解集中载荷作用下，弹性地基上四边自由厚矩形板的弯曲问题，得到了完全一致的解析解，可见，功的互等定量法更简便易行。
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| 关 键 词： | 厚矩形板 弹性地基 弯曲问题 互等定理法 |
| 文章编号： | 0493-2137(2000)01-0072-05 |
| 修稿时间： | 1999-05-30 |
SOLUTION OF A BENDING THICK RECTANGULAR PLATE WITH FOUR FREE EDGES ON AN ELASTIC FOUNDATION |
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| LI Wen-lan,FU Bao-lian,YANG Zhi-an. SOLUTION OF A BENDING THICK RECTANGULAR PLATE WITH FOUR FREE EDGES ON AN ELASTIC FOUNDATION[J]. Journal of Tianjin University(Science and Technology), 2000, 33(1): 72-76 |
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| Authors: | LI Wen-lan FU Bao-lian YANG Zhi-an |
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| Abstract: | In this paper based on the Reissner theory.the reciprocal theorem method (RTM) and the superposition method are extended to deal with a bending thick rectangular plate with four free edges on an elastic foundation under a concentrated load.The results of the two kinds of exact analytical solution are consistent.It s pointed out that RTM is much more simple than superposition method. |
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| Keywords: | thick rectangular plate elastic foundation bending problem reciprocal theorem method superposition method |
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