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Near singularity cancellation in weakly singular integrals of three-dimensional boundary element method

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成果类型:
期刊论文
作者:
Xie, Guizhong;Zhong, Yudong*;Li, Hao;Du, Wenliao*;Feng, Shizhe*;...
通讯作者:
Zhong, Yudong;Du, Wenliao;Feng, Shizhe
作者机构:
[He, Wenbin; Xie, Guizhong; Li, Hao; Du, Wenliao; Zhong, Yudong; Cheng, Jiahui; Wang, Liangwen; Zhong, YD] Zhengzhou Univ Light Ind, Mech & Elect Engn Inst, Henan Prov Key Lab Intelligent Mfg Mech, Zhengzhou 450002, Henan, Peoples R China.
[Feng, Shizhe] Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China.
[Dong, Yunqiao] Univ South China, Sch Mech Engn, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Zhong, YD; Du, WL] Z
[Feng, Shizhe] H
Zhengzhou Univ Light Ind, Mech & Elect Engn Inst, Henan Prov Key Lab Intelligent Mfg Mech, Zhengzhou 450002, Henan, Peoples R China.
Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China.
语种:
英文
关键词:
Singular integrals;Sinh transformation;Duffy transformation;Boundary element method
期刊:
Engineering Analysis with Boundary Elements
ISSN:
0955-7997
年:
2020
卷:
118
页码:
54-59
基金类别:
This work was partly supported by the National Natural Science Foundation of China (11602229, 11902141 and U1804141), and partly supported by key scientific and technological project of Henan Province (192102210227), partly by the Scientific and Technological Innovation Team of Colleges and Universities in Henan Province in 2020 (20IRTSTHN015), and partly by the Key Discipline Laboratory Foundation of Noise and Vibration Control of Ship Equipment at Shanghai Jiao Tong University (VSN201903).
机构署名:
本校为其他机构
院系归属:
机械工程学院
摘要:
This paper focuses on near singularity in weakly singular integrals of three-dimensional boundary element method. In traditional methods, only one directional transformation is introduced to remove the weak singularity. However, near singularity is still existed. Thus in our paper, serval methods for removal of weak singularity are introduced firstly. Then, angular and sigmoidal transformations are introduced to remove the near singularity in the circumferential direction combined with polar transformation. Generalized Duffy transformation is i...

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