摘要
目前在弱奇异积分的处理方案中,单元细分加极坐标变换是最常用的一种方法,但传统的单元细分法会分出形状较差的积分块,为奇异积分的处理增加困难。本文依据源点位置、单元形状信息和源点到单元的最近距离,提出了一种针对奇异积分单元的细分方法。该方法相比常规的极坐标变换法,不需要再去计算他们的积分区间,实现起来更加简单有效。
At present,in the treatment of week singular integral,the element subdivision coupled with polar coordinate transformation is the most commonly used method.However,it cannot guarantee the shape of the integral blocks after subdivision,which makes it difficult to deal with singular integral.Based on the position of the source points,the shape information of the element and the shortest distance from the source point to the element,an element subdivision method of singular integral element is proposed in this paper.Compared with the conventional polar coordinate transformation,this method does not require the calculation of their integral intervals,which is simpler and more effective.Finally,numerical examples are given to verify the accuracy and validity of the proposed method.
作者
郭壮志
Guo Zhuangzhi(College of Mechanical and Electrical Engineering,Zhengzhou University of Light Industry,Zhengzhou 450002;Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment,Zhengzhou 450002)
出处
《中阿科技论坛（中英文）》
2021年第5期80-84,共5页
China-Arab States Science and Technology Forum
关键词
弹性问题
边界积分方程
奇异积分
单元细分
坐标变换
Elasticity problem
Boundary integral equation
Singular integral
Element subdivision
Coordinate transformation
