Optimal design of a plate of variable thickness: a variational approach in dimension one

Detalhes bibliográficos
Autor(a) principal: Pedregal,Pablo
Data de Publicação: 2003
Outros Autores: Donoso,Alberto
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100005
Resumo: For a typical design problem of a plate of variable thickness, we analyze the one-dimensional situation through a variational reformulation to discover that, in contrast with the higher dimensional case, there are optimal solutions. Another typical interpretation of this simplification is that of the optimal shape of a bending beam. The mechanism employed for the existence issue is the direct method for the new formulation. Optimality conditions are then pursued.
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spelling Optimal design of a plate of variable thickness: a variational approach in dimension oneperiodic plateoptimal designdirect methodoptimality conditionsFor a typical design problem of a plate of variable thickness, we analyze the one-dimensional situation through a variational reformulation to discover that, in contrast with the higher dimensional case, there are optimal solutions. Another typical interpretation of this simplification is that of the optimal shape of a bending beam. The mechanism employed for the existence issue is the direct method for the new formulation. Optimality conditions are then pursued.Sociedade Brasileira de Matemática Aplicada e Computacional2003-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100005Computational & Applied Mathematics v.22 n.1 2003reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessPedregal,PabloDonoso,Albertoeng2004-07-19T00:00:00Zoai:scielo:S1807-03022003000100005Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-07-19T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Optimal design of a plate of variable thickness: a variational approach in dimension one
title Optimal design of a plate of variable thickness: a variational approach in dimension one
spellingShingle Optimal design of a plate of variable thickness: a variational approach in dimension one
Pedregal,Pablo
periodic plate
optimal design
direct method
optimality conditions
title_short Optimal design of a plate of variable thickness: a variational approach in dimension one
title_full Optimal design of a plate of variable thickness: a variational approach in dimension one
title_fullStr Optimal design of a plate of variable thickness: a variational approach in dimension one
title_full_unstemmed Optimal design of a plate of variable thickness: a variational approach in dimension one
title_sort Optimal design of a plate of variable thickness: a variational approach in dimension one
author Pedregal,Pablo
author_facet Pedregal,Pablo
Donoso,Alberto
author_role author
author2 Donoso,Alberto
author2_role author
dc.contributor.author.fl_str_mv Pedregal,Pablo
Donoso,Alberto
dc.subject.por.fl_str_mv periodic plate
optimal design
direct method
optimality conditions
topic periodic plate
optimal design
direct method
optimality conditions
description For a typical design problem of a plate of variable thickness, we analyze the one-dimensional situation through a variational reformulation to discover that, in contrast with the higher dimensional case, there are optimal solutions. Another typical interpretation of this simplification is that of the optimal shape of a bending beam. The mechanism employed for the existence issue is the direct method for the new formulation. Optimality conditions are then pursued.
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
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=S1807-03022003000100005
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100005
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 text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.22 n.1 2003
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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