| 弹性地基板广义边值问题的边界元法 |
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| 引用本文： | 郑小平,姚振汉.弹性地基板广义边值问题的边界元法[J].工程力学,1995(4). |
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| 作者姓名： | 郑小平 姚振汉 |
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| 作者单位： | 清华大学 |
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| 摘 要： | 本文利用Ｈａｎｋｅｌ变换导出了弹性地基板弯曲问题的基本解，该基本解对于Ｗｉｎｋｌｅｒ地基、Ｐａｓｔｅｒｎａｋ地基和弹性半空间地基模型具有统一的表达形式。在此基础上，建立了适用于弹性地基板广义边值问题的边界积分方程组，最后文中给出了若干数值算例。
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| 关 键 词： | 弹性地基板，广义边值问题，Hankel变换，边界元法 |
BOUNDARY ELEMENT METHOD FOR THE GENERALIZED BOUNDARY VALUE PROBLEMS OF PLATE ON ELASTIC FOUNDATION |
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| Zheng Xiaoping, Yao Zheuhan.BOUNDARY ELEMENT METHOD FOR THE GENERALIZED BOUNDARY VALUE PROBLEMS OF PLATE ON ELASTIC FOUNDATION[J].Engineering Mechanics,1995(4). |
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| Authors: | Zheng Xiaoping Yao Zheuhan |
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| Affiliation: | Tsinghua University |
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| Abstract: | In this paper the fundamental solution of a plate on elastic foundation is derived by Hankel transforms. which is suitable for all three different kinds of foundation Winkler,Pasternak and the elastic half-space model. For the generalized boundary value problem a complete set of baundary integral equations and the relevant numerical scheme are established.Finally the effectiveness of the proposed method is illustrated by several examples. |
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| Keywords: | plate on elastic foundation generalized boundary value problem Hankel transform boundary element method |
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