正交各向异性弹性力学平面问题的样条虚边界元法

苏成; 韩大建

正交各向异性弹性力学平面问题的样条虚边界元法

苏成,
韩大建

华南理工大学, 土木工程系, 广州, 510640

基金项目: 广东省自然科学基金资助项目(984059)

详细信息

作者简介:
苏成(1968- ),男,广东潮阳人,副教授,博士,已发表论文30余篇,主要研究方向:计算力学、高层建筑结构、桥梁结构.

中图分类号: O343.8
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- 被引次数: 0
出版历程
- 收稿日期: 2000-11-20
- 修回日期: 2001-10-09
- 刊出日期: 2002-04-15

Elastic Analysis of Orthotropic Plane Problems by the Spline Fictitious Boundary Element Method

Department of Civil Engineering, South China University of Technology, Guangzhou 510640, P. R. China

摘要

摘要: 采用域外奇点技术并根据问题的边界条件,建立了正交各向异性弹性力学平面问题的非奇异虚边界积分方程,然后采用性态优越的B样条函数去逼近未知虚荷载函数,并采用性能稳定的最小二乘边界子段法去消除边界余量,据此获得积分方程的数值解.数值算例表明:该方法具有相当高的精度和良好的数值稳定性,且计算工作量少.文中引言部分还对域外奇点法的发展作了系统的评述.
- 正交各向异性 /
- 平面问题 /
- 样条函数 /
- 边界元法
Abstract: Non-singular fictitious boundary integral equations for orthotropic elastic plane problems were deduced according to boundary conditions by the techniques of singular-points-outside-domain. Then the unknown fictitious load functions along the fictitious boundary were expressed in terms of basic spline functions, and the boundary-segment-least-squares method was proposed to eliminate the boundary residues obtained. By the above steps, numerical solutions to the integral equations can be achieved. Numerical examples are given to show the accuracy and efficiency of the proposed method.
- orthotropic /
- plane problem /
- spline function /
- boundary element method

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参考文献(33)

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