Using Optimization to Solve Truss Topology Design Problems

Detalhes bibliográficos
Autor(a) principal: Bastos,Fernando
Data de Publicação: 2005
Outros Autores: Cerveira,Adelaide, Gromicho,Joaquim
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612005000100007
Resumo: The design of truss structures is an important engineering activity which has traditionally been done without optimization support. Nowadays we witness an increasing concern for efficiency and therefore engineers seek aid on Mathematical Programming to optimize a design. In this article, we consider a mathematical model where we maximize the stiffness with a volume constraint and bounds in the cross sectional area of the bars, [2]. The basic model is a large-scale non-convex constrained optimization problem but two equivalent problems are considered. One of them is a minimization of a convex non-smooth function in several variables (much less than in the basic model), being only one non-negative. The other is a semidefinite programming problem. We solve some instances using both alternatives and we present and compare the results.
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spelling Using Optimization to Solve Truss Topology Design Problemstruss topology designstiffnessnon-smooth convex programmingdescent methodsemidefinite programmingdualityinterior point methodsThe design of truss structures is an important engineering activity which has traditionally been done without optimization support. Nowadays we witness an increasing concern for efficiency and therefore engineers seek aid on Mathematical Programming to optimize a design. In this article, we consider a mathematical model where we maximize the stiffness with a volume constraint and bounds in the cross sectional area of the bars, [2]. The basic model is a large-scale non-convex constrained optimization problem but two equivalent problems are considered. One of them is a minimization of a convex non-smooth function in several variables (much less than in the basic model), being only one non-negative. The other is a semidefinite programming problem. We solve some instances using both alternatives and we present and compare the results.APDIO - Associação Portuguesa de Investigação Operacional2005-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articletext/htmlhttp://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612005000100007Investigação Operacional v.25 n.1 2005reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAPenghttp://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612005000100007Bastos,FernandoCerveira,AdelaideGromicho,Joaquiminfo:eu-repo/semantics/openAccess2024-02-06T17:14:06Zoai:scielo:S0874-51612005000100007Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:24:08.329846Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Using Optimization to Solve Truss Topology Design Problems
title Using Optimization to Solve Truss Topology Design Problems
spellingShingle Using Optimization to Solve Truss Topology Design Problems
Bastos,Fernando
truss topology design
stiffness
non-smooth convex programming
descent method
semidefinite programming
duality
interior point methods
title_short Using Optimization to Solve Truss Topology Design Problems
title_full Using Optimization to Solve Truss Topology Design Problems
title_fullStr Using Optimization to Solve Truss Topology Design Problems
title_full_unstemmed Using Optimization to Solve Truss Topology Design Problems
title_sort Using Optimization to Solve Truss Topology Design Problems
author Bastos,Fernando
author_facet Bastos,Fernando
Cerveira,Adelaide
Gromicho,Joaquim
author_role author
author2 Cerveira,Adelaide
Gromicho,Joaquim
author2_role author
author
dc.contributor.author.fl_str_mv Bastos,Fernando
Cerveira,Adelaide
Gromicho,Joaquim
dc.subject.por.fl_str_mv truss topology design
stiffness
non-smooth convex programming
descent method
semidefinite programming
duality
interior point methods
topic truss topology design
stiffness
non-smooth convex programming
descent method
semidefinite programming
duality
interior point methods
description The design of truss structures is an important engineering activity which has traditionally been done without optimization support. Nowadays we witness an increasing concern for efficiency and therefore engineers seek aid on Mathematical Programming to optimize a design. In this article, we consider a mathematical model where we maximize the stiffness with a volume constraint and bounds in the cross sectional area of the bars, [2]. The basic model is a large-scale non-convex constrained optimization problem but two equivalent problems are considered. One of them is a minimization of a convex non-smooth function in several variables (much less than in the basic model), being only one non-negative. The other is a semidefinite programming problem. We solve some instances using both alternatives and we present and compare the results.
publishDate 2005
dc.date.none.fl_str_mv 2005-06-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612005000100007
url http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612005000100007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612005000100007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv APDIO - Associação Portuguesa de Investigação Operacional
publisher.none.fl_str_mv APDIO - Associação Portuguesa de Investigação Operacional
dc.source.none.fl_str_mv Investigação Operacional v.25 n.1 2005
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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