METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS

To solve the large computation and low efficiency of stress approximation in structural topology optimization with stress constraints,a method of the first-order approximation of internal force is put forward to express explicitly stress constraints.And the comparison with the full stress method( th...

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Main Authors: PENG XiRong, SUI YunKang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2016-01-01
Series:Jixie qiangdu
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Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.05.016
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author PENG XiRong
SUI YunKang
author_facet PENG XiRong
SUI YunKang
author_sort PENG XiRong
collection DOAJ
description To solve the large computation and low efficiency of stress approximation in structural topology optimization with stress constraints,a method of the first-order approximation of internal force is put forward to express explicitly stress constraints.And the comparison with the full stress method( that is,the zero-order approximation of internal force) and the first-order approximation of stress with reciprocal variable is carried on. Their advantages and disadvantages,and their effect on the solution efficiency are studied. To illustrate and analysis clearly iterative history data of the design variables,the objective function and constraints for different methods of stress constraint approximation during the optimization process,the design variable linking technology is adopted to reduce the number of design variables in topology optimization examples with stress constraints. The results of the topology optimization show that the first-order approximate of internal force is better than full stress method and the first-order approximation of stress with reciprocal variable. The number of iterations is the least. The solution efficiency is the highest. The optimal structure is the lightest.
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institution Kabale University
issn 1001-9669
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publisher Editorial Office of Journal of Mechanical Strength
record_format Article
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spelling doaj-art-400f390aa5194e3da86ec03c06e7a7112025-01-15T02:35:51ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692016-01-013899099530596652METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTSPENG XiRongSUI YunKangTo solve the large computation and low efficiency of stress approximation in structural topology optimization with stress constraints,a method of the first-order approximation of internal force is put forward to express explicitly stress constraints.And the comparison with the full stress method( that is,the zero-order approximation of internal force) and the first-order approximation of stress with reciprocal variable is carried on. Their advantages and disadvantages,and their effect on the solution efficiency are studied. To illustrate and analysis clearly iterative history data of the design variables,the objective function and constraints for different methods of stress constraint approximation during the optimization process,the design variable linking technology is adopted to reduce the number of design variables in topology optimization examples with stress constraints. The results of the topology optimization show that the first-order approximate of internal force is better than full stress method and the first-order approximation of stress with reciprocal variable. The number of iterations is the least. The solution efficiency is the highest. The optimal structure is the lightest.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.05.016Structural topology optimizationStress constraintStress approximationFirst-order approximation of internal forceFull stress method
spellingShingle PENG XiRong
SUI YunKang
METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS
Jixie qiangdu
Structural topology optimization
Stress constraint
Stress approximation
First-order approximation of internal force
Full stress method
title METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS
title_full METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS
title_fullStr METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS
title_full_unstemmed METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS
title_short METHOD OF FIRST-ORDER APPROXIMATIONS OF INTER FORCE FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS
title_sort method of first order approximations of inter force for structural topology optimization with stress constraints
topic Structural topology optimization
Stress constraint
Stress approximation
First-order approximation of internal force
Full stress method
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.05.016
work_keys_str_mv AT pengxirong methodoffirstorderapproximationsofinterforceforstructuraltopologyoptimizationwithstressconstraints
AT suiyunkang methodoffirstorderapproximationsofinterforceforstructuraltopologyoptimizationwithstressconstraints