Free-form optimization of a frame structure for strength maximization

In this paper, we present a parameter-free free-form optimization method for the strength design problem of a frame structure. The maximum von Mises stress is minimized under a given volume constraint. The strength design problems are formulated as distributed-parameter optimization problems under t...

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Autores principales: Zhiqiang WU, Masatoshi SHIMODA, Kei HISATOMI, Jin-Xing SHI
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Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2017
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Acceso en línea:https://doaj.org/article/5d5e94de710641a890a84ed167c8bcc8
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spelling oai:doaj.org-article:5d5e94de710641a890a84ed167c8bcc82021-11-26T07:02:12ZFree-form optimization of a frame structure for strength maximization2187-974510.1299/mej.17-00014https://doaj.org/article/5d5e94de710641a890a84ed167c8bcc82017-03-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/2/4_17-00014/_pdf/-char/enhttps://doaj.org/toc/2187-9745In this paper, we present a parameter-free free-form optimization method for the strength design problem of a frame structure. The maximum von Mises stress is minimized under a given volume constraint. The strength design problems are formulated as distributed-parameter optimization problems under the assumptions that each member is varied in the off-axis direction to the centroidal-axis and the cross section is not varied with respect to the iteration process. The issue of non-differentiability inherent in this min-max problem is avoided by transforming the singular local measure to a smooth differentiable integral functional by using the Kreisselmeier-Steinhauser function. The shape gradient functions and optimality conditions theoretically derived are applied to the free-form optimization method for frames. With this method, the smooth optimal free-form of a frame structure is determined without any shape design parameterization, while minimizing the objective functional. Design examples are presented to demonstrate the validity of this free-form optimization method for strength design problems of a frame structure.Zhiqiang WUMasatoshi SHIMODAKei HISATOMIJin-Xing SHIThe Japan Society of Mechanical Engineersarticleshape optimizationframe structurefree-form optimizationvon mises stressstrength designkreisselmeier-steinhauser functionmin-max problemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 2, Pp 17-00014-17-00014 (2017)
institution DOAJ
collection DOAJ
language EN
topic shape optimization
frame structure
free-form optimization
von mises stress
strength design
kreisselmeier-steinhauser function
min-max problem
Mechanical engineering and machinery
TJ1-1570
spellingShingle shape optimization
frame structure
free-form optimization
von mises stress
strength design
kreisselmeier-steinhauser function
min-max problem
Mechanical engineering and machinery
TJ1-1570
Zhiqiang WU
Masatoshi SHIMODA
Kei HISATOMI
Jin-Xing SHI
Free-form optimization of a frame structure for strength maximization
description In this paper, we present a parameter-free free-form optimization method for the strength design problem of a frame structure. The maximum von Mises stress is minimized under a given volume constraint. The strength design problems are formulated as distributed-parameter optimization problems under the assumptions that each member is varied in the off-axis direction to the centroidal-axis and the cross section is not varied with respect to the iteration process. The issue of non-differentiability inherent in this min-max problem is avoided by transforming the singular local measure to a smooth differentiable integral functional by using the Kreisselmeier-Steinhauser function. The shape gradient functions and optimality conditions theoretically derived are applied to the free-form optimization method for frames. With this method, the smooth optimal free-form of a frame structure is determined without any shape design parameterization, while minimizing the objective functional. Design examples are presented to demonstrate the validity of this free-form optimization method for strength design problems of a frame structure.
format article
author Zhiqiang WU
Masatoshi SHIMODA
Kei HISATOMI
Jin-Xing SHI
author_facet Zhiqiang WU
Masatoshi SHIMODA
Kei HISATOMI
Jin-Xing SHI
author_sort Zhiqiang WU
title Free-form optimization of a frame structure for strength maximization
title_short Free-form optimization of a frame structure for strength maximization
title_full Free-form optimization of a frame structure for strength maximization
title_fullStr Free-form optimization of a frame structure for strength maximization
title_full_unstemmed Free-form optimization of a frame structure for strength maximization
title_sort free-form optimization of a frame structure for strength maximization
publisher The Japan Society of Mechanical Engineers
publishDate 2017
url https://doaj.org/article/5d5e94de710641a890a84ed167c8bcc8
work_keys_str_mv AT zhiqiangwu freeformoptimizationofaframestructureforstrengthmaximization
AT masatoshishimoda freeformoptimizationofaframestructureforstrengthmaximization
AT keihisatomi freeformoptimizationofaframestructureforstrengthmaximization
AT jinxingshi freeformoptimizationofaframestructureforstrengthmaximization
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