Enhancing topology optimisation of elastic structures via mesh adaptation

Topology optimization aims to find the best layout of material within a design domain to obtain the best performance, according to specific criteria. In many applications, the objective functional depends on the solution of a partial differential equation (PDE), so these problems may be looked as a...

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Detalles Bibliográficos
Autor: Araya Matilla, Daniel Rolando
Tipo de recurso: tesis de maestría
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/385671
Acceso en línea:https://hdl.handle.net/2117/385671
Access Level:acceso abierto
Palabra clave:Differential equations
Numerical analysis
Equacions diferencials
Anàlisi numèrica
Classificació AMS::74 Mechanics of deformable solids
Classificació AMS::65 Numerical analysis
Àrees temàtiques de la UPC::Matemàtiques i estadística
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repository_id_str
spelling Enhancing topology optimisation of elastic structures via mesh adaptationAraya Matilla, Daniel RolandoDifferential equationsNumerical analysisEquacions diferencialsAnàlisi numèricaClassificació AMS::74 Mechanics of deformable solidsClassificació AMS::65 Numerical analysisÀrees temàtiques de la UPC::Matemàtiques i estadísticaTopology optimization aims to find the best layout of material within a design domain to obtain the best performance, according to specific criteria. In many applications, the objective functional depends on the solution of a partial differential equation (PDE), so these problems may be looked as a PDE-constrained optimization problem of a domain-dependent functional. A method based on a reaction-diffusion equation is presented and applied to the design of a linear elastic structure under a minimum compliance requirement. Topology optimization methods can be sensitive to the discretization of the design space, and suffer from mesh dependency issues. To overcome such drawbacks, this work proposes an anisotropic mesh adaptation technique for the reaction-diffusion based optimization method. Implementing the anisotropic mesh adaptation allows us to deliver a final layout characterized by a smooth contour while significantly reducing the computational cost. Several structural benchmarks are given to demonstrate the validity of the proposed approach. In addition, we perform a sensitivity analysis to some parameters, proving the robustness of the method. We also show that complex designs, characterized by a higher number of inner holes, are feasible with remarkable computational efficiency.Universitat Politècnica de CatalunyaGiacomini, Matteo20232023-01-0120232023-03-29master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2117/385671reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3856712026-05-27T15:37:01Z
dc.title.none.fl_str_mv Enhancing topology optimisation of elastic structures via mesh adaptation
title Enhancing topology optimisation of elastic structures via mesh adaptation
spellingShingle Enhancing topology optimisation of elastic structures via mesh adaptation
Araya Matilla, Daniel Rolando
Differential equations
Numerical analysis
Equacions diferencials
Anàlisi numèrica
Classificació AMS::74 Mechanics of deformable solids
Classificació AMS::65 Numerical analysis
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Enhancing topology optimisation of elastic structures via mesh adaptation
title_full Enhancing topology optimisation of elastic structures via mesh adaptation
title_fullStr Enhancing topology optimisation of elastic structures via mesh adaptation
title_full_unstemmed Enhancing topology optimisation of elastic structures via mesh adaptation
title_sort Enhancing topology optimisation of elastic structures via mesh adaptation
dc.creator.none.fl_str_mv Araya Matilla, Daniel Rolando
author Araya Matilla, Daniel Rolando
author_facet Araya Matilla, Daniel Rolando
author_role author
dc.contributor.none.fl_str_mv Giacomini, Matteo
dc.subject.none.fl_str_mv Differential equations
Numerical analysis
Equacions diferencials
Anàlisi numèrica
Classificació AMS::74 Mechanics of deformable solids
Classificació AMS::65 Numerical analysis
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Differential equations
Numerical analysis
Equacions diferencials
Anàlisi numèrica
Classificació AMS::74 Mechanics of deformable solids
Classificació AMS::65 Numerical analysis
Àrees temàtiques de la UPC::Matemàtiques i estadística
description Topology optimization aims to find the best layout of material within a design domain to obtain the best performance, according to specific criteria. In many applications, the objective functional depends on the solution of a partial differential equation (PDE), so these problems may be looked as a PDE-constrained optimization problem of a domain-dependent functional. A method based on a reaction-diffusion equation is presented and applied to the design of a linear elastic structure under a minimum compliance requirement. Topology optimization methods can be sensitive to the discretization of the design space, and suffer from mesh dependency issues. To overcome such drawbacks, this work proposes an anisotropic mesh adaptation technique for the reaction-diffusion based optimization method. Implementing the anisotropic mesh adaptation allows us to deliver a final layout characterized by a smooth contour while significantly reducing the computational cost. Several structural benchmarks are given to demonstrate the validity of the proposed approach. In addition, we perform a sensitivity analysis to some parameters, proving the robustness of the method. We also show that complex designs, characterized by a higher number of inner holes, are feasible with remarkable computational efficiency.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01
2023
2023-03-29
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/385671
url https://hdl.handle.net/2117/385671
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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