Elimination of the Effects of Low Density Elements in Topology Optimization of Buckling Structures

Luo, Q; Tong, L

Elimination of the Effects of Low Density Elements in Topology Optimization of Buckling Structures

Luo, Q

Tong, L

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Publisher:: WORLD SCIENTIFIC PUBL CO PTE LTD
Publication Type:: Journal Article
Citation:: International Journal of Computational Methods, 2016, 13, (6)
Issue Date:: 2016-12-01

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Field	Value	Language
dc.contributor.author	Luo, Q https://orcid.org/0000-0001-5727-9290
dc.contributor.author	Tong, L
dc.date.accessioned	2020-06-02T01:01:35Z
dc.date.available	2020-06-02T01:01:35Z
dc.date.issued	2016-12-01
dc.identifier.citation	International Journal of Computational Methods, 2016, 13, (6)
dc.identifier.issn	0219-8762
dc.identifier.issn	1793-6969
dc.identifier.uri	http://hdl.handle.net/10453/141034
dc.description.abstract	© 2016 World Scientific Publishing Company. This paper presents an algorithm for structural topology optimization involving linear buckling. In this algorithm, finite element analysis (FEA) is conducted only in a domain with solid and gray elements, eliminating the contribution of low density elements; and the response function is constructed in the full design domain accounting the contribution of removed low density elements. The errors induced by removing void elements in FEA on eigenvalue and eigenvectors are analyzed. By introducing a dynamic low bound of the first eigenvalue and a load-path coefficient, the algorithm allows converged, nondisjointed and accurate solutions for topology optimization of structures involving buckling. Numerical results are presented for plate and column-beam structures against linear buckling to illustrate the efficiency and effectiveness of the present algorithm. Buckling experiments of the plates manufactured from the obtained topologies further verify the present algorithm.
dc.language	English
dc.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartof	International Journal of Computational Methods
dc.relation.isbasedon	10.1142/S0219876216500419
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 08 Information and Computing Sciences, 09 Engineering
dc.subject.classification	Applied Mathematics
dc.title	Elimination of the Effects of Low Density Elements in Topology Optimization of Buckling Structures
dc.type	Journal Article
utslib.citation.volume	13
utslib.for	01 Mathematical Sciences
utslib.for	08 Information and Computing Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2020-06-02T01:01:32Z
pubs.issue	6
pubs.publication-status	Published
pubs.volume	13
utslib.citation.issue	6

Abstract:

© 2016 World Scientific Publishing Company. This paper presents an algorithm for structural topology optimization involving linear buckling. In this algorithm, finite element analysis (FEA) is conducted only in a domain with solid and gray elements, eliminating the contribution of low density elements; and the response function is constructed in the full design domain accounting the contribution of removed low density elements. The errors induced by removing void elements in FEA on eigenvalue and eigenvectors are analyzed. By introducing a dynamic low bound of the first eigenvalue and a load-path coefficient, the algorithm allows converged, nondisjointed and accurate solutions for topology optimization of structures involving buckling. Numerical results are presented for plate and column-beam structures against linear buckling to illustrate the efficiency and effectiveness of the present algorithm. Buckling experiments of the plates manufactured from the obtained topologies further verify the present algorithm.

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http://hdl.handle.net/10453/141034