中文版 | English
Title

Topology optimization of heat transfer and elastic problems based on element differential method

Author
Corresponding AuthorYang,Kai
Publication Years
2023-04-01
DOI
Source Title
ISSN
0955-7997
EISSN
1873-197X
Volume149Pages:190-202
Abstract
The element differential method (EDM) is a robust and efficient strong-form numerical method, which has attracted a lot of attention of the researchers about the numerical methods since proposed. EDM has higher stability than some other strong-form methods and is more efficient than conventional Galerkin FEM. In this paper, the EDM is combined with Solid Isotropic Material with Penalization (SIMP) method to solve 2–3D topological optimization problems under different conditions. The key of the paper is to derive the objective function of second-order EDM element, which is suitable for the SIMP-based topology optimization process. And the sensitivity is solved by Optimality Criteria (OC) method. In the article, topology optimization examples are considered in different mechanics or thermal loads. In the topology optimization of the elastic problem of 3D cantilever beam, the EDM-based SIMP method can reduce the structural compliance by 17∼27% compared with SIMP method based on FEM. And in the heat transfer problems of the 3D plate, the EDM-based SIMP method reduced the compliance by 3.4%. The results show that the present method has good accuracy, efficiency and robustness in topology optimization of 2D and 3D minimum compatibility problems.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Others
Funding Project
National Natural Science Foundation of China["12072060","12072064"]
WOS Research Area
Engineering ; Mathematics
WOS Subject
Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS Accession No
WOS:000930511000001
Publisher
ESI Research Field
ENGINEERING
Scopus EID
2-s2.0-85147194960
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/442591
DepartmentDepartment of Mechanics and Aerospace Engineering
Affiliation
1.State Key Laboratory of Structural Analysis for Industrial Equipment,Key Laboratory of Advanced Technology for Aerospace Vehicles,Liaoning Province,Dalian University of Technology,Dalian,116024,China
2.Key Laboratory of Power Machinery and Engineering,School of Mechanical and Power Engineering,Shanghai Jiao Tong University,Shanghai,200240,China
3.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
Recommended Citation
GB/T 7714
Zhang,Si Qi,Xu,Bing Bing,Gao,Zhong Hao,et al. Topology optimization of heat transfer and elastic problems based on element differential method[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2023,149:190-202.
APA
Zhang,Si Qi.,Xu,Bing Bing.,Gao,Zhong Hao.,Jiang,Geng Hui.,Zheng,Yong Tong.,...&Gao,Xiao Wei.(2023).Topology optimization of heat transfer and elastic problems based on element differential method.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,149,190-202.
MLA
Zhang,Si Qi,et al."Topology optimization of heat transfer and elastic problems based on element differential method".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 149(2023):190-202.
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