A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch
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 tra...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/6/983 |
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| author | Jianghong Yu Zhengbao Lei Qishui Yao Fenglin Zhou |
| author_facet | Jianghong Yu Zhengbao Lei Qishui Yao Fenglin Zhou |
| author_sort | Jianghong Yu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T19:18:19Z |
| format | Article |
| id | doaj.art-cc42968d54de40dd9e7ad788d6d9e92e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T19:18:19Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-cc42968d54de40dd9e7ad788d6d9e92e2023-11-20T03:15:18ZengMDPI AGSymmetry2073-89942020-06-0112698310.3390/sym12060983A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric PatchJianghong Yu0Zhengbao Lei1Qishui Yao2Fenglin Zhou3MOE Key Laboratory of Highway Engineering, Changsha University of Science and Technology, Changsha 410004, ChinaMOE Key Laboratory of Highway Engineering, Changsha University of Science and Technology, Changsha 410004, ChinaSchool of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaSchool of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007, ChinaThis 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.https://www.mdpi.com/2073-8994/12/6/983distance transformationnearly singular integralboundary element methodsigmoidal transformation |
| spellingShingle | Jianghong Yu Zhengbao Lei Qishui Yao Fenglin Zhou A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch Symmetry distance transformation nearly singular integral boundary element method sigmoidal transformation |
| title | A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch |
| title_full | A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch |
| title_fullStr | A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch |
| title_full_unstemmed | A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch |
| title_short | A Sigmoidal and Distance Combined Transformation Method for Nearly Singular Integral on Asymmetric Patch |
| title_sort | sigmoidal and distance combined transformation method for nearly singular integral on asymmetric patch |
| topic | distance transformation nearly singular integral boundary element method sigmoidal transformation |
| url | https://www.mdpi.com/2073-8994/12/6/983 |
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