Geometry and Topology Optimization of Statically Determinate Beams under Fixed and Most Unfavorably Distributed Load
Autor(a) principal: | |
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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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Latin American journal of solids and structures (Online) |
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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 |
_version_ |
1754302888415330304 |