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, 12(4): 1-8.
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, 12(4): 1-8.
Zheng Xiaoping, Yao Zheuhan. BOUNDARY ELEMENT METHOD FOR THE GENERALIZED BOUNDARY VALUE PROBLEMS OF PLATE ON ELASTIC FOUNDATION[J]. Engineering Mechanics, 1995, 12(4): 1-8.
Citation: Zheng Xiaoping, Yao Zheuhan. BOUNDARY ELEMENT METHOD FOR THE GENERALIZED BOUNDARY VALUE PROBLEMS OF PLATE ON ELASTIC FOUNDATION[J]. Engineering Mechanics, 1995, 12(4): 1-8.

弹性地基板广义边值问题的边界元法

BOUNDARY ELEMENT METHOD FOR THE GENERALIZED BOUNDARY VALUE PROBLEMS OF PLATE ON ELASTIC FOUNDATION

  • 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。

     

    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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