Multi-objective and multi-constraint topology optimization of nonlinear compliant mechanisms

Lu, Y; Luo, Q; Tong, L

Multi-objective and multi-constraint topology optimization of nonlinear compliant mechanisms

Lu, Y Luo, Q

Tong, L

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Publisher:: ELSEVIER SCI LTD
Publication Type:: Journal Article
Citation:: Thin Walled Structures, 2025, 208
Issue Date:: 2025-03-01

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Field	Value	Language
dc.contributor.author	Lu, Y
dc.contributor.author	Luo, Q https://orcid.org/0000-0001-5727-9290
dc.contributor.author	Tong, L
dc.date.accessioned	2025-07-16T05:20:50Z
dc.date.available	2025-07-16T05:20:50Z
dc.date.issued	2025-03-01
dc.identifier.citation	Thin Walled Structures, 2025, 208
dc.identifier.issn	0263-8231
dc.identifier.issn	1879-3223
dc.identifier.uri	http://hdl.handle.net/10453/188443
dc.description.abstract	This study investigates multi-objective and multi-constraint design optimization of compliant mechanisms considering geometrical and material nonlinearities. When geometrical and material nonlinearities arise in optimization due to high loading levels and/or weak region/hinges, the nonlinear finite element analysis data in all load increments should be used to capture nonlinear behaviors of compliant mechanisms. Thus, in this work, we present (1) a new formulation for output displacement in terms of mutual strain energy density calculated using all incremental load steps in nonlinear finite element analysis; (2) problem formulation with multi-objective functions defined in terms of nonlinear output displacements and compliance-related displacements; and (3) an effective extended moving isosurface threshold algorithm for topology optimization of multi-objective nonlinear compliant mechanisms with displacement, buckling, and volume constraints. Numerical results for selected compliant mechanisms are presented and compared with those available in the literature to validate the present formulations and algorithm. The present results illustrate the effects of utilizing all load step nonlinear finite element analysis results on the optimum topology.
dc.language	English
dc.publisher	ELSEVIER SCI LTD
dc.relation.ispartof	Thin Walled Structures
dc.relation.isbasedon	10.1016/j.tws.2024.112761
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0901 Aerospace Engineering, 0905 Civil Engineering, 0913 Mechanical Engineering
dc.subject.classification	Civil Engineering
dc.subject.classification	4005 Civil engineering
dc.title	Multi-objective and multi-constraint topology optimization of nonlinear compliant mechanisms
dc.type	Journal Article
utslib.citation.volume	208
utslib.for	0901 Aerospace Engineering
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical Engineering
pubs.organisational-group	University of Technology Sydney
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
utslib.copyright.status	open_access	*
dc.rights.license	This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). To view a copy of this license, visit https://creativecommons.org/licenses/by/4.0/
dc.date.updated	2025-07-16T05:20:46Z
pubs.publication-status	Published
pubs.volume	208

Abstract:

This study investigates multi-objective and multi-constraint design optimization of compliant mechanisms considering geometrical and material nonlinearities. When geometrical and material nonlinearities arise in optimization due to high loading levels and/or weak region/hinges, the nonlinear finite element analysis data in all load increments should be used to capture nonlinear behaviors of compliant mechanisms. Thus, in this work, we present (1) a new formulation for output displacement in terms of mutual strain energy density calculated using all incremental load steps in nonlinear finite element analysis; (2) problem formulation with multi-objective functions defined in terms of nonlinear output displacements and compliance-related displacements; and (3) an effective extended moving isosurface threshold algorithm for topology optimization of multi-objective nonlinear compliant mechanisms with displacement, buckling, and volume constraints. Numerical results for selected compliant mechanisms are presented and compared with those available in the literature to validate the present formulations and algorithm. The present results illustrate the effects of utilizing all load step nonlinear finite element analysis results on the optimum topology.

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http://hdl.handle.net/10453/188443