二维薄体结构位势问题的虚边界元法  

Virtual boundary element method for 2D thin body in potential problems

作　　者：袁飞[1] 屈文镇[1] 张耀明[1] 

机构地区：[1]山东理工大学理学院,山东淄博255091

出　　处：《山东理工大学学报（自然科学版）》2012年第3期18-21,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：山东省自然科学基金资助重点项目(ZR2010AZ003)

摘　　要：提出求解平面位势薄体问题的虚边界元法,给出求解薄体问题的新的途径,验证了虚实边界的距离公式,阐释距离选取与边界离散单元数有关.数值算例表明,所取得的数值结果与精确解非常吻合,即虚边界元法是求解薄体结构问题的强有力工具,且方法简单、易于程序设计.In this paper, the virtual boundary element method （VBEM） for solving thin body problem in 2D potential theory is presented. That is, it provides a new approach to dealing with such problems. For VBEM, the choice of distance between virtual boundary and real boundary is a key problem and may greatly affect the accuracy of the results. Some of the existing formulas, which are related with the number of discrete elements on the boundary, are further verified. The numerical results obtained by proposed method match the exact solution very well, which show that the VBEM is not only a strong tool for solving 2D thin body problems but also a simple and easily programmed method.

关 键 词：虚边界元法 位势问题 薄体结构 

分 类 号：O342[理学—固体力学]