Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints

Zhan, J; Li, Y; Luo, Z; Liu, M

Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints

Zhan, J Li, Y Luo, Z

Liu, M

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Publisher:: MDPI AG
Publication Type:: Journal Article
Citation:: Micromachines, 12, (11), pp. 1379-1379

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Field	Value	Language
dc.contributor.author	Zhan, J
dc.contributor.author	Li, Y
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986
dc.contributor.author	Liu, M
dc.date.accessioned	2021-11-22T11:35:12Z
dc.date.available	2021-11-22T11:35:12Z
dc.identifier.citation	Micromachines, 12, (11), pp. 1379-1379
dc.identifier.issn	2072-666X
dc.identifier.uri	http://hdl.handle.net/10453/151783
dc.description.abstract	<jats:p>This paper presents an approach for the topological design of multi-material compliant mechanisms with global stress constraints. The element stacking method and the separable stress interpolation scheme are applied to calculate the element stiffness and element stress of multi-material structures. The output displacement of multi-material compliant mechanisms is maximized under the constraints of the maximum stress and the structural volume of each material. The modified P-norm method is applied to aggregate the local von Mises stress constraints for all the finite elements to a global stress constraint. The sensitivities are calculated by the adjoint method, and the method of moving asymptotes is utilized to update the optimization problem. Several numerical examples are presented to demonstrate the effectiveness of the proposed method. The appearance of the de facto hinges in the optimal mechanisms can be suppressed effectively by using the topology optimization model with global stress constraints, and the stress constraints for each material can be met.</jats:p>
dc.language	en
dc.publisher	MDPI AG
dc.relation.ispartof	Micromachines
dc.relation.isbasedon	10.3390/mi12111379
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	1007 Nanotechnology
dc.title	Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
dc.type	Journal Article
utslib.citation.volume	12
utslib.for	1007 Nanotechnology
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.date.updated	2021-11-22T11:35:11Z
pubs.issue	11
pubs.publication-status	Published online
pubs.volume	12
utslib.citation.issue	11

Abstract:

This paper presents an approach for the topological design of multi-material compliant mechanisms with global stress constraints. The element stacking method and the separable stress interpolation scheme are applied to calculate the element stiffness and element stress of multi-material structures. The output displacement of multi-material compliant mechanisms is maximized under the constraints of the maximum stress and the structural volume of each material. The modified P-norm method is applied to aggregate the local von Mises stress constraints for all the finite elements to a global stress constraint. The sensitivities are calculated by the adjoint method, and the method of moving asymptotes is utilized to update the optimization problem. Several numerical examples are presented to demonstrate the effectiveness of the proposed method. The appearance of the de facto hinges in the optimal mechanisms can be suppressed effectively by using the topology optimization model with global stress constraints, and the stress constraints for each material can be met.

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http://hdl.handle.net/10453/151783