A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch

Symmetry

Zhengbao Lei¹  Jianghong Yu¹  Qishui Yao²  Fenglin Zhou² 

[1] MOE Key Laboratory of Highway Engineering, Changsha University of Science and Technology, Changsha 410004, China;School of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007, China;

关键词: distance transformation;    nearly singular integral;    boundary element method;    sigmoidal transformation;   

DOI  :  10.3390/sym12060983

来源: DOAJ

【 摘 要 】

This paper is devoted to developing a new computational method for nearly singular integral computation in the application of the boundary element method for the analysis of thin-shell-like structures in mechanical engineering. Based on the traditional distance transformation method, a sigmoidal transformation method is introduced to further cluster the integral points around the source point with respect to the circumferential direction. The combined method provides accurate results without employing a large quantity of integral points. Numerical examples demonstrate that the computational accuracy and efficiency of the proposed method is significantly higher than that of the traditional single distance transformation method, especially in the case of the asymmetric integral patch.

【 授权许可】

Unknown