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

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....

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Autores principales:	Jinqing Zhan, Yifeng Li, Zhen Luo, Min Liu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	compliant mechanisms multiple materials topology optimization global stress constraints separable stress interpolation scheme Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/ae593af8d0de45ce90df6f82bad9aa94
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id	oai:doaj.org-article:ae593af8d0de45ce90df6f82bad9aa94
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spelling	oai:doaj.org-article:ae593af8d0de45ce90df6f82bad9aa942021-11-25T18:23:32ZTopological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints10.3390/mi121113792072-666Xhttps://doaj.org/article/ae593af8d0de45ce90df6f82bad9aa942021-11-01T00:00:00Zhttps://www.mdpi.com/2072-666X/12/11/1379https://doaj.org/toc/2072-666XThis 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 <i>P</i>-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.Jinqing ZhanYifeng LiZhen LuoMin LiuMDPI AGarticlecompliant mechanismsmultiple materialstopology optimizationglobal stress constraintsseparable stress interpolation schemeMechanical engineering and machineryTJ1-1570ENMicromachines, Vol 12, Iss 1379, p 1379 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	compliant mechanisms multiple materials topology optimization global stress constraints separable stress interpolation scheme Mechanical engineering and machinery TJ1-1570
spellingShingle	compliant mechanisms multiple materials topology optimization global stress constraints separable stress interpolation scheme Mechanical engineering and machinery TJ1-1570 Jinqing Zhan Yifeng Li Zhen Luo Min Liu Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
description	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 <i>P</i>-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.
format	article
author	Jinqing Zhan Yifeng Li Zhen Luo Min Liu
author_facet	Jinqing Zhan Yifeng Li Zhen Luo Min Liu
author_sort	Jinqing Zhan
title	Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
title_short	Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
title_full	Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
title_fullStr	Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
title_full_unstemmed	Topological Design of Multi-Material Compliant Mechanisms with Global Stress Constraints
title_sort	topological design of multi-material compliant mechanisms with global stress constraints
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/ae593af8d0de45ce90df6f82bad9aa94
work_keys_str_mv	AT jinqingzhan topologicaldesignofmultimaterialcompliantmechanismswithglobalstressconstraints AT yifengli topologicaldesignofmultimaterialcompliantmechanismswithglobalstressconstraints AT zhenluo topologicaldesignofmultimaterialcompliantmechanismswithglobalstressconstraints AT minliu topologicaldesignofmultimaterialcompliantmechanismswithglobalstressconstraints
_version_	1718411218221268992

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

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