TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)

In view of stability requirements of compliant mechanisms, based on the Heaviside three-field mapping scheme and the compliance change rate constraint measure, the topology optimization problem of the compliance minimization of hinge-free multi-input multi-output compliant mechanisms with buckling c...

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Main Authors: GAN Wei, RONG JianHua, ZHAO Lei, HE YiFan, LI ZhengWei, ZHOU Quan
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2022-01-01
Series:Jixie qiangdu
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Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.06.015
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author GAN Wei
RONG JianHua
ZHAO Lei
HE YiFan
LI ZhengWei
ZHOU Quan
author_facet GAN Wei
RONG JianHua
ZHAO Lei
HE YiFan
LI ZhengWei
ZHOU Quan
author_sort GAN Wei
collection DOAJ
description In view of stability requirements of compliant mechanisms, based on the Heaviside three-field mapping scheme and the compliance change rate constraint measure, the topology optimization problem of the compliance minimization of hinge-free multi-input multi-output compliant mechanisms with buckling constraints is investigated. Firstly, in order to solve the problem of pseudo-buckling modes and calculation efficiency caused by low-density elements, smooth penalty functions of the element stiffness matrix and stress matrix are constructed, and comprehensive measures to solve the corresponding problem are proposed. Furthermore, cooperating with the Pian mixed stress element formula, the aggregation function method, the Heaviside three-field mapping scheme and the compliance change rate constraint measure, the topology optimization model of hinge-free multi-input multi-output compliant mechanisms considering buckling is constructed. Then, the sensitivities of the objective function and buckling constraints are derived, and the MMA algorithm is adopted to optimize the topology optimization model. Finally, the numerical examples are given to illustrate the feasibility and effectiveness of this method.
format Article
id doaj-art-74bc9d320e6b4923b2186a80357406c1
institution Kabale University
issn 1001-9669
language zho
publishDate 2022-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-74bc9d320e6b4923b2186a80357406c12025-01-15T02:39:54ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692022-01-011371137936351320TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)GAN WeiRONG JianHuaZHAO LeiHE YiFanLI ZhengWeiZHOU QuanIn view of stability requirements of compliant mechanisms, based on the Heaviside three-field mapping scheme and the compliance change rate constraint measure, the topology optimization problem of the compliance minimization of hinge-free multi-input multi-output compliant mechanisms with buckling constraints is investigated. Firstly, in order to solve the problem of pseudo-buckling modes and calculation efficiency caused by low-density elements, smooth penalty functions of the element stiffness matrix and stress matrix are constructed, and comprehensive measures to solve the corresponding problem are proposed. Furthermore, cooperating with the Pian mixed stress element formula, the aggregation function method, the Heaviside three-field mapping scheme and the compliance change rate constraint measure, the topology optimization model of hinge-free multi-input multi-output compliant mechanisms considering buckling is constructed. Then, the sensitivities of the objective function and buckling constraints are derived, and the MMA algorithm is adopted to optimize the topology optimization model. Finally, the numerical examples are given to illustrate the feasibility and effectiveness of this method.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.06.015Compliant mechanismsCompliance change rate constraintsBuckling constraintsTopology optimizationMaterial penalty model
spellingShingle GAN Wei
RONG JianHua
ZHAO Lei
HE YiFan
LI ZhengWei
ZHOU Quan
TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)
Jixie qiangdu
Compliant mechanisms
Compliance change rate constraints
Buckling constraints
Topology optimization
Material penalty model
title TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)
title_full TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)
title_fullStr TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)
title_full_unstemmed TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)
title_short TOPOLOGY OPTIMIZATION DESIGN METHOD FOR HINGE-FREE MULTI-INPUT MULTI-OUTPUT COMPLIANT MECHANISMS UNDER BUCKLING CONSTRAINTS (MT)
title_sort topology optimization design method for hinge free multi input multi output compliant mechanisms under buckling constraints mt
topic Compliant mechanisms
Compliance change rate constraints
Buckling constraints
Topology optimization
Material penalty model
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.06.015
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AT rongjianhua topologyoptimizationdesignmethodforhingefreemultiinputmultioutputcompliantmechanismsunderbucklingconstraintsmt
AT zhaolei topologyoptimizationdesignmethodforhingefreemultiinputmultioutputcompliantmechanismsunderbucklingconstraintsmt
AT heyifan topologyoptimizationdesignmethodforhingefreemultiinputmultioutputcompliantmechanismsunderbucklingconstraintsmt
AT lizhengwei topologyoptimizationdesignmethodforhingefreemultiinputmultioutputcompliantmechanismsunderbucklingconstraintsmt
AT zhouquan topologyoptimizationdesignmethodforhingefreemultiinputmultioutputcompliantmechanismsunderbucklingconstraintsmt