Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load

Detalhes bibliográficos
Autor(a) principal: Kozikowska,Agata
Data de Publicação: 2016
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000400775
Resumo: Abstract The paper concerns topology and geometry optimization of statically determinate beams with an arbitrary number of pin supports. The beams are simultaneously exposed to uniform dead load and arbitrarily distributed live load and optimized for the absolute maximum bending moment. First, all the beams with fixed topology are subjected to geometrical optimization by genetic algorithm. Strict mathematical formulas for calculation of optimal geometrical parameters are found for all topologies and any ratio of dead to live load. Then beams with the same minimal values of the objective function and different topologies are classified into groups called topological classes. The detailed characteristics of these classes are described.
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spelling Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed LoadStatically determinate beamsgeometry and topology optimizationgenetic algorithmstationary loadmost unfavorable loadAbstract The paper concerns topology and geometry optimization of statically determinate beams with an arbitrary number of pin supports. The beams are simultaneously exposed to uniform dead load and arbitrarily distributed live load and optimized for the absolute maximum bending moment. First, all the beams with fixed topology are subjected to geometrical optimization by genetic algorithm. Strict mathematical formulas for calculation of optimal geometrical parameters are found for all topologies and any ratio of dead to live load. Then beams with the same minimal values of the objective function and different topologies are classified into groups called topological classes. The detailed characteristics of these classes are described.Associação Brasileira de Ciências Mecânicas2016-04-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000400775Latin American Journal of Solids and Structures v.13 n.4 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252306info:eu-repo/semantics/openAccessKozikowska,Agataeng2016-05-24T00:00:00Zoai:scielo:S1679-78252016000400775Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2016-05-24T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
title Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
spellingShingle Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
Kozikowska,Agata
Statically determinate beams
geometry and topology optimization
genetic algorithm
stationary load
most unfavorable load
title_short Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
title_full Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
title_fullStr Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
title_full_unstemmed Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
title_sort Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
author Kozikowska,Agata
author_facet Kozikowska,Agata
author_role author
dc.contributor.author.fl_str_mv Kozikowska,Agata
dc.subject.por.fl_str_mv Statically determinate beams
geometry and topology optimization
genetic algorithm
stationary load
most unfavorable load
topic Statically determinate beams
geometry and topology optimization
genetic algorithm
stationary load
most unfavorable load
description Abstract The paper concerns topology and geometry optimization of statically determinate beams with an arbitrary number of pin supports. The beams are simultaneously exposed to uniform dead load and arbitrarily distributed live load and optimized for the absolute maximum bending moment. First, all the beams with fixed topology are subjected to geometrical optimization by genetic algorithm. Strict mathematical formulas for calculation of optimal geometrical parameters are found for all topologies and any ratio of dead to live load. Then beams with the same minimal values of the objective function and different topologies are classified into groups called topological classes. The detailed characteristics of these classes are described.
publishDate 2016
dc.date.none.fl_str_mv 2016-04-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000400775
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000400775
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78252306
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 Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.13 n.4 2016
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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