A transmission problem for the Timoshenko system

Detalhes bibliográficos
Autor(a) principal: Raposo,C.A.
Data de Publicação: 2007
Outros Autores: Bastos,W.D., Santos,M.L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000200003
Resumo: In this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10]. We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size. We use the method of energy to prove exponential decay for the solution.
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spelling A transmission problem for the Timoshenko systemtransmissionTimoshenkobeamsexponential decayfrictional dampingIn this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10]. We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size. We use the method of energy to prove exponential decay for the solution.Sociedade Brasileira de Matemática Aplicada e Computacional2007-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000200003Computational & Applied Mathematics v.26 n.2 2007reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052007000200003info:eu-repo/semantics/openAccessRaposo,C.A.Bastos,W.D.Santos,M.L.eng2007-07-24T00:00:00Zoai:scielo:S1807-03022007000200003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2007-07-24T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A transmission problem for the Timoshenko system
title A transmission problem for the Timoshenko system
spellingShingle A transmission problem for the Timoshenko system
Raposo,C.A.
transmission
Timoshenko
beams
exponential decay
frictional damping
title_short A transmission problem for the Timoshenko system
title_full A transmission problem for the Timoshenko system
title_fullStr A transmission problem for the Timoshenko system
title_full_unstemmed A transmission problem for the Timoshenko system
title_sort A transmission problem for the Timoshenko system
author Raposo,C.A.
author_facet Raposo,C.A.
Bastos,W.D.
Santos,M.L.
author_role author
author2 Bastos,W.D.
Santos,M.L.
author2_role author
author
dc.contributor.author.fl_str_mv Raposo,C.A.
Bastos,W.D.
Santos,M.L.
dc.subject.por.fl_str_mv transmission
Timoshenko
beams
exponential decay
frictional damping
topic transmission
Timoshenko
beams
exponential decay
frictional damping
description In this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10]. We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size. We use the method of energy to prove exponential decay for the solution.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
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=S1807-03022007000200003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000200003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052007000200003
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.26 n.2 2007
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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