各向同性等截面直杆扭转的无奇异边界元分析  

The non-singular boundary element method for the problem of the isotropic uniform bar torsion

作　　者：高述辕[1] 张耀明[2] 

机构地区：[1]山东理工大学交通与车辆工程学院,山东淄博255049 [2]山东理工大学数学与信息科学学院,山东淄博255049

出　　处：《山东理工大学学报（自然科学版）》2008年第4期1-5,共5页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金(10571110);山东省自然科学基金(2003ZX12);山东理工大学科学基金(2004KJZX08)资助项目

摘　　要：对等截面直杆扭转问题,横截面边界上的剪应力计算是件困难的事,也是很重要的研究课题.基于该问题基本解的特性,根据边界归化工作的思想和方法,归化出应力函数和应力函数梯度的等价间接变量无奇异边界积分方程,有效避免了强奇异和超奇异边界积分的计算.矩形截面杆和椭圆截面杆扭转问题的数值结果表明,该方法具有很高的精度、效率及收敛性.The most important issue for the problem of uniform cross-section bar torsion is the calculation of shear stress on the boundary of cross-section, which is very difficult. In this paper, the regularized non-singular boundary integral equations with indirect variables for stress function and stress function grads is established, it avoids the calculations of strong-singular integral and hyper-singular integral effectively. It is based on the identity of basic question and the author＇s previous idea of boundary disposal. The numerical examples of rectangular cross-section and elliptical cross-section torsion show that the given method is effective, accurate, and astringency.

关 键 词：边界元 无奇异 等截面直杆 各向同性 

分 类 号：O343[理学—固体力学]