A numerical study of the Timoshenko model with dissipative mechanisms

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In this work we gather works from the literature that present the qualitative study via linear semigroups to the Timoshenko Beams System with dissipative mechanisms. Such problems do not have an analytical solution, but with the use of the exponentials theory of non-limited operators and Functional...

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Detalles Bibliográficos
Autores: S. Sozzo, Bruna T., Acasiete Q., Frank H.
Formato: artículo
Fecha de Publicación:2020
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
portugués
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/2972
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972
Nivel de acceso:acceso abierto
Materia:Exponential Stability
Dissipative Mechanisms
Finite Differences
Estabilidade Exponencial
Mecanismos Dissipativos
Diferencas Finitas
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spelling A numerical study of the Timoshenko model with dissipative mechanismsUm estudo numérico do modelo de Timoshenko com mecanismos dissipativosS. Sozzo, Bruna T.Acasiete Q., Frank H.Exponential StabilityDissipative MechanismsFinite DifferencesEstabilidade ExponencialMecanismos DissipativosDiferencas FinitasIn this work we gather works from the literature that present the qualitative study via linear semigroups to the Timoshenko Beams System with dissipative mechanisms. Such problems do not have an analytical solution, but with the use of the exponentials theory of non-limited operators and Functional Analysis tools, it is possible to perform the asymptotic analysis for the models presented. Therefore, the objective of the work is accomplish a numerical analysis, using finite difference methods. We show that the qualitative results, proven by the semigroup theory, are verified for beam with concrete material and aluminum material.Neste trabalho reunimos trabalhos da literatura que apresentam o estudo qualitativo via semigrupos lineares para o Sistema de Vigas de Timoshenko com mecanismos dissipativos. Tais problemas, nao possuem solucao analítica, mas com o uso da teoria de exponenciais de operadores nao limitados e ferramentas de Análise Funcional é possível fazer a análise assintótica para os modelos apresentados. Sendo assim, o objetivo do trabalho é fazer uma análise numérica, usando métodos de diferencas finitas, mostrando que os resultados qualitativos verificados pela teoria de semigrupos, é verificada para viga com o material concreto e o material alumínio.National University of Trujillo - Academic Department of Mathematics2020-07-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo evaluado por paresPeer-Review articleapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972Selecciones Matemáticas; Vol. 7 No. 01 (2020): January - July; 176-182Selecciones Matemáticas; Vol. 7 Núm. 01 (2020): Enero-Julio; 176-182Selecciones Matemáticas; v. 7 n. 01 (2020): Enero-Julio; 176-1822411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspaporhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972/3299https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972/3812Derechos de autor 2020 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/29722022-10-21T18:51:17Z
dc.title.none.fl_str_mv A numerical study of the Timoshenko model with dissipative mechanisms
Um estudo numérico do modelo de Timoshenko com mecanismos dissipativos
title A numerical study of the Timoshenko model with dissipative mechanisms
spellingShingle A numerical study of the Timoshenko model with dissipative mechanisms
S. Sozzo, Bruna T.
Exponential Stability
Dissipative Mechanisms
Finite Differences
Estabilidade Exponencial
Mecanismos Dissipativos
Diferencas Finitas
title_short A numerical study of the Timoshenko model with dissipative mechanisms
title_full A numerical study of the Timoshenko model with dissipative mechanisms
title_fullStr A numerical study of the Timoshenko model with dissipative mechanisms
title_full_unstemmed A numerical study of the Timoshenko model with dissipative mechanisms
title_sort A numerical study of the Timoshenko model with dissipative mechanisms
dc.creator.none.fl_str_mv S. Sozzo, Bruna T.
Acasiete Q., Frank H.
author S. Sozzo, Bruna T.
author_facet S. Sozzo, Bruna T.
Acasiete Q., Frank H.
author_role author
author2 Acasiete Q., Frank H.
author2_role author
dc.subject.none.fl_str_mv Exponential Stability
Dissipative Mechanisms
Finite Differences
Estabilidade Exponencial
Mecanismos Dissipativos
Diferencas Finitas
topic Exponential Stability
Dissipative Mechanisms
Finite Differences
Estabilidade Exponencial
Mecanismos Dissipativos
Diferencas Finitas
description In this work we gather works from the literature that present the qualitative study via linear semigroups to the Timoshenko Beams System with dissipative mechanisms. Such problems do not have an analytical solution, but with the use of the exponentials theory of non-limited operators and Functional Analysis tools, it is possible to perform the asymptotic analysis for the models presented. Therefore, the objective of the work is accomplish a numerical analysis, using finite difference methods. We show that the qualitative results, proven by the semigroup theory, are verified for beam with concrete material and aluminum material.
publishDate 2020
dc.date.none.fl_str_mv 2020-07-25
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artículo evaluado por pares
Peer-Review article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972
dc.language.none.fl_str_mv spa
por
language spa
por
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972/3299
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2972/3812
dc.rights.none.fl_str_mv Derechos de autor 2020 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2020 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 7 No. 01 (2020): January - July; 176-182
Selecciones Matemáticas; Vol. 7 Núm. 01 (2020): Enero-Julio; 176-182
Selecciones Matemáticas; v. 7 n. 01 (2020): Enero-Julio; 176-182
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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A numerical study of the Timoshenko model with dissipative mechanisms
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