A transmission problem for the Timoshenko system
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...
| Autor principal: | RAPOSO, Carlos Alberto |
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| Outros Autores: | BASTOS, Waldemar Donizete, SANTOS, Mauro de Lima |
| Grau: | Artigo |
| Idioma: | eng |
| Publicado em: |
2014
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.ufpa.br/jspui/handle/2011/5825 |
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ir-2011-5825 |
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dspace |
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ir-2011-58252017-10-16T15:20:50Z A transmission problem for the Timoshenko system RAPOSO, Carlos Alberto BASTOS, Waldemar Donizete SANTOS, Mauro de Lima Sistema Timoshenko Equações diferenciais parciais Resistência de materiais Decaimento exponencial de energia 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. 2014-10-03T11:56:37Z 2014-10-03T11:56:37Z 2007 Artigo de Periódico 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 http://repositorio.ufpa.br/jspui/handle/2011/5825 eng Acesso Aberto application/pdf |
| institution |
Repositório Institucional - Universidade Federal do Pará |
| collection |
RI-UFPA |
| language |
eng |
| topic |
Sistema Timoshenko Equações diferenciais parciais Resistência de materiais Decaimento exponencial de energia |
| spellingShingle |
Sistema Timoshenko Equações diferenciais parciais Resistência de materiais Decaimento exponencial de energia RAPOSO, Carlos Alberto A transmission problem for the Timoshenko system |
| topic_facet |
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. |
| format |
Artigo |
| author |
RAPOSO, Carlos Alberto |
| author2 |
BASTOS, Waldemar Donizete SANTOS, Mauro de Lima |
| author2Str |
BASTOS, Waldemar Donizete SANTOS, Mauro de Lima |
| title |
A transmission problem for the Timoshenko system |
| 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 |
transmission problem for the timoshenko system |
| publishDate |
2014 |
| url |
http://repositorio.ufpa.br/jspui/handle/2011/5825 |
| _version_ |
1832604242664226816 |
| score |
11.755432 |