Thermal analysis for plate structures using a transformation BEM based on complex poles
In this paper, according to the element discretization characteristic of the geometric model, a complex function theory based transformation boundary element method is proposed to perform the steady-state thermal analysis of plate structures. The numerical implementation of the proposed method can b...
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| Vydáno v: | Computers & mathematics with applications (1987) Ročník 161; s. 32 - 42 |
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| Hlavní autoři: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.05.2024
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| ISSN: | 0898-1221, 1873-7668 |
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| Abstract | In this paper, according to the element discretization characteristic of the geometric model, a complex function theory based transformation boundary element method is proposed to perform the steady-state thermal analysis of plate structures. The numerical implementation of the proposed method can be attributed to a numerical integration problem in element analysis, which is mainly divided into the following two steps: firstly, a bidirectional transformation method based on distance function and complex function is proposed to remove the weak singularities of the fundamental solution in integral equation, which is suitable for the weakly singular integrals of narrow strip discrete elements; secondly, a dual sinh method based on complex poles is developed to remove the influence of the nearly singular integrals in the analysis of the plate structures. With this method, the numerical integration in the integral equation can be accurately evaluated, which ensures the accurate calculation of the thermal physical variables of the plate structures. Several numerical examples are presented and discussed to prove the accuracy and versatility of the presented method. The results show that the presented method has the superiority of dealing with plate structure problems. |
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| AbstractList | In this paper, according to the element discretization characteristic of the geometric model, a complex function theory based transformation boundary element method is proposed to perform the steady-state thermal analysis of plate structures. The numerical implementation of the proposed method can be attributed to a numerical integration problem in element analysis, which is mainly divided into the following two steps: firstly, a bidirectional transformation method based on distance function and complex function is proposed to remove the weak singularities of the fundamental solution in integral equation, which is suitable for the weakly singular integrals of narrow strip discrete elements; secondly, a dual sinh method based on complex poles is developed to remove the influence of the nearly singular integrals in the analysis of the plate structures. With this method, the numerical integration in the integral equation can be accurately evaluated, which ensures the accurate calculation of the thermal physical variables of the plate structures. Several numerical examples are presented and discussed to prove the accuracy and versatility of the presented method. The results show that the presented method has the superiority of dealing with plate structure problems. |
| Author | Hou, Junjian Zhong, Yudong He, Wenbin Geng, Hongrui Zhao, Dengfeng Xie, Guizhong |
| Author_xml | – sequence: 1 givenname: Yudong surname: Zhong fullname: Zhong, Yudong email: zhongyd@zzuli.edu.cn organization: Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China – sequence: 2 givenname: Guizhong surname: Xie fullname: Xie, Guizhong email: xieguizhong@126.com organization: Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China – sequence: 3 givenname: Hongrui surname: Geng fullname: Geng, Hongrui organization: College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China – sequence: 4 givenname: Junjian surname: Hou fullname: Hou, Junjian organization: Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China – sequence: 5 givenname: Dengfeng surname: Zhao fullname: Zhao, Dengfeng organization: Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China – sequence: 6 givenname: Wenbin surname: He fullname: He, Wenbin organization: Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China |
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| Keywords | Complex function Singular integrals Transformation boundary element method Plate structures Thermal analysis |
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