A transmission problem for the Timoshenko system
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S0101-82052007000200003 http://hdl.handle.net/11449/22132 |
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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Repositório Institucional da UNESP |
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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 Department of MathematicsUNESP Department of MathematicsUFPA Department of MathematicsUNESP Department of MathematicsSociedade Brasileira de Matemática Aplicada e ComputacionalUniversidade Federal de São João del-Rei (UFSJ)Universidade Estadual Paulista (Unesp)Universidade Federal do Pará (UFPA)Raposo, C.A.Bastos, W.D. [UNESP]Santos, M.L.2014-05-20T14:02:49Z2014-05-20T14:02:49Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article215-234application/pdfhttp://dx.doi.org/10.1590/S0101-82052007000200003Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 26, n. 2, p. 215-234, 2007.1807-0302http://hdl.handle.net/11449/2213210.1590/S0101-82052007000200003S1807-03022007000200003S1807-03022007000200003.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational & Applied Mathematicsinfo:eu-repo/semantics/openAccess2024-01-14T06:18:23Zoai:repositorio.unesp.br:11449/22132Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:55:31.996634Repositório 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 São João del-Rei (UFSJ) 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 2014-05-20T14:02:49Z 2014-05-20T14:02:49Z |
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 |
http://dx.doi.org/10.1590/S0101-82052007000200003 Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 26, n. 2, p. 215-234, 2007. 1807-0302 http://hdl.handle.net/11449/22132 10.1590/S0101-82052007000200003 S1807-03022007000200003 S1807-03022007000200003.pdf |
url |
http://dx.doi.org/10.1590/S0101-82052007000200003 http://hdl.handle.net/11449/22132 |
identifier_str_mv |
Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 26, n. 2, p. 215-234, 2007. 1807-0302 10.1590/S0101-82052007000200003 S1807-03022007000200003 S1807-03022007000200003.pdf |
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 application/pdf |
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 |
SciELO 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_ |
1808129473945534464 |