Minimax approach applied to topology optimization of structures subjected to multiple load cases

Detalhes bibliográficos
Autor(a) principal: Rafael Santos Iwamura
Data de Publicação: 2013
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações do ITA
Texto Completo: http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2834
Resumo: This work investigates a topology optimization strategy for structures under multiple load cases. Typically compliance is calculated for each of the load cases in analysis and minimization is computed for a weighted average of the compliances, resulting in time consuming algorithms. A way to increase convergence speed is updating density on the element level. Instead of having an averaged compliance for the whole structure, it is proposed to compute it individually for every element. All load cases are analyzed, however only the ones of the maximum compliances are considered for sensitivity analysis. Thus compliance gradient is function of a few load cases at each element, reducing the processing time without significant weight penalty. The efficiency of the proposed technique is exemplified and compared to the one of a classical approach of multiple load case problem, solved using optimality criteria.
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spelling Minimax approach applied to topology optimization of structures subjected to multiple load casesTopologiaOtimizaçãoEstruturasMatemáticaEngenharia estruturalThis work investigates a topology optimization strategy for structures under multiple load cases. Typically compliance is calculated for each of the load cases in analysis and minimization is computed for a weighted average of the compliances, resulting in time consuming algorithms. A way to increase convergence speed is updating density on the element level. Instead of having an averaged compliance for the whole structure, it is proposed to compute it individually for every element. All load cases are analyzed, however only the ones of the maximum compliances are considered for sensitivity analysis. Thus compliance gradient is function of a few load cases at each element, reducing the processing time without significant weight penalty. The efficiency of the proposed technique is exemplified and compared to the one of a classical approach of multiple load case problem, solved using optimality criteria.Instituto Tecnológico de AeronáuticaAlfredo Rocha de FariaRafael Santos Iwamura2013-11-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesishttp://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2834reponame:Biblioteca Digital de Teses e Dissertações do ITAinstname:Instituto Tecnológico de Aeronáuticainstacron:ITAenginfo:eu-repo/semantics/openAccessapplication/pdf2019-02-02T14:04:59Zoai:agregador.ibict.br.BDTD_ITA:oai:ita.br:2834http://oai.bdtd.ibict.br/requestopendoar:null2020-05-28 19:40:10.602Biblioteca Digital de Teses e Dissertações do ITA - Instituto Tecnológico de Aeronáuticatrue
dc.title.none.fl_str_mv Minimax approach applied to topology optimization of structures subjected to multiple load cases
title Minimax approach applied to topology optimization of structures subjected to multiple load cases
spellingShingle Minimax approach applied to topology optimization of structures subjected to multiple load cases
Rafael Santos Iwamura
Topologia
Otimização
Estruturas
Matemática
Engenharia estrutural
title_short Minimax approach applied to topology optimization of structures subjected to multiple load cases
title_full Minimax approach applied to topology optimization of structures subjected to multiple load cases
title_fullStr Minimax approach applied to topology optimization of structures subjected to multiple load cases
title_full_unstemmed Minimax approach applied to topology optimization of structures subjected to multiple load cases
title_sort Minimax approach applied to topology optimization of structures subjected to multiple load cases
author Rafael Santos Iwamura
author_facet Rafael Santos Iwamura
author_role author
dc.contributor.none.fl_str_mv Alfredo Rocha de Faria
dc.contributor.author.fl_str_mv Rafael Santos Iwamura
dc.subject.por.fl_str_mv Topologia
Otimização
Estruturas
Matemática
Engenharia estrutural
topic Topologia
Otimização
Estruturas
Matemática
Engenharia estrutural
dc.description.none.fl_txt_mv This work investigates a topology optimization strategy for structures under multiple load cases. Typically compliance is calculated for each of the load cases in analysis and minimization is computed for a weighted average of the compliances, resulting in time consuming algorithms. A way to increase convergence speed is updating density on the element level. Instead of having an averaged compliance for the whole structure, it is proposed to compute it individually for every element. All load cases are analyzed, however only the ones of the maximum compliances are considered for sensitivity analysis. Thus compliance gradient is function of a few load cases at each element, reducing the processing time without significant weight penalty. The efficiency of the proposed technique is exemplified and compared to the one of a classical approach of multiple load case problem, solved using optimality criteria.
description This work investigates a topology optimization strategy for structures under multiple load cases. Typically compliance is calculated for each of the load cases in analysis and minimization is computed for a weighted average of the compliances, resulting in time consuming algorithms. A way to increase convergence speed is updating density on the element level. Instead of having an averaged compliance for the whole structure, it is proposed to compute it individually for every element. All load cases are analyzed, however only the ones of the maximum compliances are considered for sensitivity analysis. Thus compliance gradient is function of a few load cases at each element, reducing the processing time without significant weight penalty. The efficiency of the proposed technique is exemplified and compared to the one of a classical approach of multiple load case problem, solved using optimality criteria.
publishDate 2013
dc.date.none.fl_str_mv 2013-11-25
dc.type.driver.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/masterThesis
status_str publishedVersion
format masterThesis
dc.identifier.uri.fl_str_mv http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2834
url http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2834
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Instituto Tecnológico de Aeronáutica
publisher.none.fl_str_mv Instituto Tecnológico de Aeronáutica
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações do ITA
instname:Instituto Tecnológico de Aeronáutica
instacron:ITA
reponame_str Biblioteca Digital de Teses e Dissertações do ITA
collection Biblioteca Digital de Teses e Dissertações do ITA
instname_str Instituto Tecnológico de Aeronáutica
instacron_str ITA
institution ITA
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações do ITA - Instituto Tecnológico de Aeronáutica
repository.mail.fl_str_mv
subject_por_txtF_mv Topologia
Otimização
Estruturas
Matemática
Engenharia estrutural
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