A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads

In this paper, the topology optimization of continuum structures with design-dependent loads is studied with a gradient-free topology optimization method in combination with adaptive body-fitted finite element mesh. The material-field series-expansion (MFSE) model represents the structural topology...

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Autores principales:	Junjie Zhan, Jing Li, Pai Liu, Yangjun Luo
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	design-dependent loads material-field series-expansion method Kriging surrogate model gradient-free topology optimization Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/72a554b39ab042a7901e1a9780c02527
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id	oai:doaj.org-article:72a554b39ab042a7901e1a9780c02527
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spelling	oai:doaj.org-article:72a554b39ab042a7901e1a9780c025272021-11-25T19:05:42ZA Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads10.3390/sym131119762073-8994https://doaj.org/article/72a554b39ab042a7901e1a9780c025272021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/1976https://doaj.org/toc/2073-8994In this paper, the topology optimization of continuum structures with design-dependent loads is studied with a gradient-free topology optimization method in combination with adaptive body-fitted finite element mesh. The material-field series-expansion (MFSE) model represents the structural topology using a bounded material field with specified spatial correlation and provides a crisp structural boundary description. This feature makes it convenient to identify the loading surface for the application of the design-dependent boundary loads and to generate a body-fitted mesh for structural analysis. Using the dimension reduction technique, the number of design variables is significantly decreased, which enables the use of an efficient Kriging-based algorithm to solve the topology optimization problem. The effectiveness of the proposed method is demonstrated using several numerical examples, among which a design problem with geometry and contact nonlinearity is included.Junjie ZhanJing LiPai LiuYangjun LuoMDPI AGarticledesign-dependent loadsmaterial-field series-expansion methodKriging surrogate modelgradient-free topology optimizationMathematicsQA1-939ENSymmetry, Vol 13, Iss 1976, p 1976 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	design-dependent loads material-field series-expansion method Kriging surrogate model gradient-free topology optimization Mathematics QA1-939
spellingShingle	design-dependent loads material-field series-expansion method Kriging surrogate model gradient-free topology optimization Mathematics QA1-939 Junjie Zhan Jing Li Pai Liu Yangjun Luo A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads
description	In this paper, the topology optimization of continuum structures with design-dependent loads is studied with a gradient-free topology optimization method in combination with adaptive body-fitted finite element mesh. The material-field series-expansion (MFSE) model represents the structural topology using a bounded material field with specified spatial correlation and provides a crisp structural boundary description. This feature makes it convenient to identify the loading surface for the application of the design-dependent boundary loads and to generate a body-fitted mesh for structural analysis. Using the dimension reduction technique, the number of design variables is significantly decreased, which enables the use of an efficient Kriging-based algorithm to solve the topology optimization problem. The effectiveness of the proposed method is demonstrated using several numerical examples, among which a design problem with geometry and contact nonlinearity is included.
format	article
author	Junjie Zhan Jing Li Pai Liu Yangjun Luo
author_facet	Junjie Zhan Jing Li Pai Liu Yangjun Luo
author_sort	Junjie Zhan
title	A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads
title_short	A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads
title_full	A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads
title_fullStr	A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads
title_full_unstemmed	A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads
title_sort	gradient-free topology optimization strategy for continuum structures with design-dependent boundary loads
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/72a554b39ab042a7901e1a9780c02527
work_keys_str_mv	AT junjiezhan agradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT jingli agradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT pailiu agradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT yangjunluo agradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT junjiezhan gradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT jingli gradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT pailiu gradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads AT yangjunluo gradientfreetopologyoptimizationstrategyforcontinuumstructureswithdesigndependentboundaryloads
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A Gradient-Free Topology Optimization Strategy for Continuum Structures with Design-Dependent Boundary Loads

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