A transmission problem for the Timoshenko system

Detalhes bibliográficos
Autor(a) principal: RAPOSO, Carlos Alberto
Data de Publicação: 2007
Outros Autores: BASTOS, Waldemar Donizete, SANTOS, Mauro de Lima
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFPA
Texto Completo: http://repositorio.ufpa.br/jspui/handle/2011/5825
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 2014-10-03T11:56:37Z2014-10-03T11:56:37Z2007RAPOSO, C.A.; BASTOS, W.D.; SANTOS, M.L. A transmission problem for the Timoshenko system. Computational & Applied Mathematics, Petrópolis, v. 26, n. 2, p. 215-234, 2007. Disponível em: <http://www.scielo.br/pdf/cam/v26n2/a03v26n2.pdf>. Acesso em: 26 jun. 2014. <http://dx.doi.org/10.1590/S0101-82052007000200003>.1807-0302http://repositorio.ufpa.br/jspui/handle/2011/5825In 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. 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dc.title.pt_BR.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, Carlos Alberto
Sistema Timoshenko
Equações diferenciais parciais
Resistência de materiais
Decaimento exponencial de energia
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, Carlos Alberto
author_facet RAPOSO, Carlos Alberto
BASTOS, Waldemar Donizete
SANTOS, Mauro de Lima
author_role author
author2 BASTOS, Waldemar Donizete
SANTOS, Mauro de Lima
author2_role author
author
dc.contributor.author.fl_str_mv RAPOSO, Carlos Alberto
BASTOS, Waldemar Donizete
SANTOS, Mauro de Lima
dc.subject.por.fl_str_mv Sistema Timoshenko
Equações diferenciais parciais
Resistência de materiais
Decaimento exponencial de energia
topic Sistema Timoshenko
Equações diferenciais parciais
Resistência de materiais
Decaimento exponencial de energia
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.issued.fl_str_mv 2007
dc.date.accessioned.fl_str_mv 2014-10-03T11:56:37Z
dc.date.available.fl_str_mv 2014-10-03T11:56:37Z
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.citation.fl_str_mv RAPOSO, C.A.; BASTOS, W.D.; SANTOS, M.L. A transmission problem for the Timoshenko system. Computational & Applied Mathematics, Petrópolis, v. 26, n. 2, p. 215-234, 2007. Disponível em: <http://www.scielo.br/pdf/cam/v26n2/a03v26n2.pdf>. Acesso em: 26 jun. 2014. <http://dx.doi.org/10.1590/S0101-82052007000200003>.
dc.identifier.uri.fl_str_mv http://repositorio.ufpa.br/jspui/handle/2011/5825
dc.identifier.issn.none.fl_str_mv 1807-0302
identifier_str_mv RAPOSO, C.A.; BASTOS, W.D.; SANTOS, M.L. A transmission problem for the Timoshenko system. Computational & Applied Mathematics, Petrópolis, v. 26, n. 2, p. 215-234, 2007. Disponível em: <http://www.scielo.br/pdf/cam/v26n2/a03v26n2.pdf>. Acesso em: 26 jun. 2014. <http://dx.doi.org/10.1590/S0101-82052007000200003>.
1807-0302
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