A transmission problem for the Timoshenko system

Detalhes bibliográficos
Autor(a) principal: Raposo, C. A.
Data de Publicação: 2007
Outros Autores: Bastos, W. D. [UNESP], Santos, M. L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/195758
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.UFSJ, Dept Math, BR-36307352 Sao Joao Del Rei, MG, BrazilUNESP, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUFPA, Dept Math, BR-66113200 Belem, Para, BrazilUNESP, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilSpringerUniversidade Federal de Sergipe (UFS)Universidade Estadual Paulista (Unesp)Universidade Federal do Pará (UFPA)Raposo, C. A.Bastos, W. D. [UNESP]Santos, M. L.2020-12-10T18:02:30Z2020-12-10T18:02:30Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article215-234Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 26, n. 2, p. 215-234, 2007.0101-8205http://hdl.handle.net/11449/195758WOS:000208135800003Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational & Applied Mathematicsinfo:eu-repo/semantics/openAccess2021-10-23T11:51:48Zoai:repositorio.unesp.br:11449/195758Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T11:51:48Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)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. [UNESP]
Santos, M. L.
author_role author
author2 Bastos, W. D. [UNESP]
Santos, M. L.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal de Sergipe (UFS)
Universidade Estadual Paulista (Unesp)
Universidade Federal do Pará (UFPA)
dc.contributor.author.fl_str_mv Raposo, C. A.
Bastos, W. D. [UNESP]
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
2020-12-10T18:02:30Z
2020-12-10T18:02:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 26, n. 2, p. 215-234, 2007.
0101-8205
http://hdl.handle.net/11449/195758
WOS:000208135800003
identifier_str_mv Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 26, n. 2, p. 215-234, 2007.
0101-8205
WOS:000208135800003
url http://hdl.handle.net/11449/195758
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational & Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 215-234
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965413869617152

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