Improved strategy based on the variable density method for continuum structural topology optimization

ObjectiveTo effectively address numerical instabilities and enhance optimization performance for achieving desirable results in continuum structural topology optimization problems, an improved strategy based on the variable density method is proposed.MethodsFirstly, in response to the limitations of...

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Main Authors: LUO Zhaoyi, WANG Tianbo, WEI Minxiang, WU Jiang, XUE Wenshuai
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2025-01-01
Series:Jixie qiangdu
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Online Access:http://www.jxqd.net.cn/thesisDetails?columnId=104517794&Fpath=home&index=0
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author LUO Zhaoyi
WANG Tianbo
WEI Minxiang
WU Jiang
XUE Wenshuai
author_facet LUO Zhaoyi
WANG Tianbo
WEI Minxiang
WU Jiang
XUE Wenshuai
author_sort LUO Zhaoyi
collection DOAJ
description ObjectiveTo effectively address numerical instabilities and enhance optimization performance for achieving desirable results in continuum structural topology optimization problems, an improved strategy based on the variable density method is proposed.MethodsFirstly, in response to the limitations of the solid isotropic material with penalization (SIMP) model and the rational approximation material properties (RAMP) model in terms of penalty efficiency and convergence speed, an improved interpolation model was proposed. Secondly, the Sigmund sensitivity filtering method was employed to eliminate checkerboard patterns and mesh dependency phenomena. Finally, a grayscale suppression operator was designed and integrated into the optimality criterion (OC) method for updating design variables.ResultsNumerical studies have demonstrated that this scheme not only improves penalty efficiency and accelerates convergence speed but also eliminates completely grayscale elements, resulting in optimized structures with clear boundaries.
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issn 1001-9669
language zho
publishDate 2025-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-e3c0d71638b748358b4759c5502b9abc2025-08-20T02:17:14ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692025-01-01110104517794Improved strategy based on the variable density method for continuum structural topology optimizationLUO ZhaoyiWANG TianboWEI MinxiangWU JiangXUE WenshuaiObjectiveTo effectively address numerical instabilities and enhance optimization performance for achieving desirable results in continuum structural topology optimization problems, an improved strategy based on the variable density method is proposed.MethodsFirstly, in response to the limitations of the solid isotropic material with penalization (SIMP) model and the rational approximation material properties (RAMP) model in terms of penalty efficiency and convergence speed, an improved interpolation model was proposed. Secondly, the Sigmund sensitivity filtering method was employed to eliminate checkerboard patterns and mesh dependency phenomena. Finally, a grayscale suppression operator was designed and integrated into the optimality criterion (OC) method for updating design variables.ResultsNumerical studies have demonstrated that this scheme not only improves penalty efficiency and accelerates convergence speed but also eliminates completely grayscale elements, resulting in optimized structures with clear boundaries.http://www.jxqd.net.cn/thesisDetails?columnId=104517794&Fpath=home&index=0Variable density methodTopological optimizationInterpolation modelGrayscale suppression
spellingShingle LUO Zhaoyi
WANG Tianbo
WEI Minxiang
WU Jiang
XUE Wenshuai
Improved strategy based on the variable density method for continuum structural topology optimization
Jixie qiangdu
Variable density method
Topological optimization
Interpolation model
Grayscale suppression
title Improved strategy based on the variable density method for continuum structural topology optimization
title_full Improved strategy based on the variable density method for continuum structural topology optimization
title_fullStr Improved strategy based on the variable density method for continuum structural topology optimization
title_full_unstemmed Improved strategy based on the variable density method for continuum structural topology optimization
title_short Improved strategy based on the variable density method for continuum structural topology optimization
title_sort improved strategy based on the variable density method for continuum structural topology optimization
topic Variable density method
Topological optimization
Interpolation model
Grayscale suppression
url http://www.jxqd.net.cn/thesisDetails?columnId=104517794&Fpath=home&index=0
work_keys_str_mv AT luozhaoyi improvedstrategybasedonthevariabledensitymethodforcontinuumstructuraltopologyoptimization
AT wangtianbo improvedstrategybasedonthevariabledensitymethodforcontinuumstructuraltopologyoptimization
AT weiminxiang improvedstrategybasedonthevariabledensitymethodforcontinuumstructuraltopologyoptimization
AT wujiang improvedstrategybasedonthevariabledensitymethodforcontinuumstructuraltopologyoptimization
AT xuewenshuai improvedstrategybasedonthevariabledensitymethodforcontinuumstructuraltopologyoptimization