弹性地基上薄板弯曲问题的边界元法及物理参数识别

计算物理 ›› 1996, Vol. 13 ›› Issue (2): 207-212.

弹性地基上薄板弯曲问题的边界元法及物理参数识别

郑小平¹, 王尚文², 于龙³

1. 清华大学工程力学系, 北京 100084;
2. 西北工业大学建工系, 西安 710072;
3. 空后场务技术研究所, 北京 100080

收稿日期:1994-12-07 出版日期:1996-06-25 发布日期:1996-06-25

BOUNDARY ELEMENT METHOD FOR BENDING PLATES ON ELASTIC FOUNDATIONS AND THE IDENTIFICATION OF PHYSICAL PARAMETERS

Zheng Xiaoping¹, Wang Shangwen², Yu Long³

1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084;
2. Department of Civil Engineering, Northwestern Polytechnical University, Xian 710072;
3. Institute of Airfield Technique, Airforce of PLA, Beijing 100080

Received:1994-12-07 Online:1996-06-25 Published:1996-06-25

摘要/Abstract

摘要： 利用Hankel变换导出了弹性地基上薄板弯曲问题的基本解,此基本解对三种常用地基模型具有统一的表达形式,针对近年提出的广义边值问题,建立了统一的边界积分方程和边界元求解格式。在此基础上将边界元法和优化方法相结合,根据现场用激光准直弯沉仪测板上若干点的位移,反算其它力学参量。编制了适用范围较广的计算软件,给出若干典型算例和工程算例。

关键词: 弹性地基板, 广义边值问题, 边界元法, 物理参数识别

Abstract: The fundamental solution for the bending of thin plates on elastic foundations is derived by Hankel transformation.This solution in an unified form includes all three different kinds of foundation models,which are treated separately in existing literature.For the generalized boundary value problem a complete set of boundary integral equations and relevant numerical scheme are established.By combining the boundary element method with the optimization technique a procedure is also presented for identifying mechanical parameters,in which the displacements of plate at several points are measured by JGPD instru-ment.The effectiveness of the proposed method in illustrated by two typical examples with practical appli-cations.

Key words: plate on elastic foundation, generalized boundary value problem, boundary element method, physical parameter identification

中图分类号:

TU471.2

郑小平, 王尚文, 于龙. 弹性地基上薄板弯曲问题的边界元法及物理参数识别[J]. 计算物理, 1996, 13(2): 207-212.

Zheng Xiaoping, Wang Shangwen, Yu Long. BOUNDARY ELEMENT METHOD FOR BENDING PLATES ON ELASTIC FOUNDATIONS AND THE IDENTIFICATION OF PHYSICAL PARAMETERS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 13(2): 207-212.

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