Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente

Detalhes bibliográficos
Autor(a) principal: Pavlack, Bruna Silveira
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional Manancial UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/13552
Resumo: This study aims to determine the eigenfunctions or vibration modes of a system composed of two beams coupled by an elastic layer and modeled mathematically by Timoshenko theory for beams. The study is conducted through modal analysis with a block matrix formulation and the vibration modes are written in terms of the fundamental matrix response, which is the fundamental solution of an impulsive initial value problem with matrix coe cients. The vibration modes are obtained for various boundary conditions in terms of the fundamental matrix solution. For the particular case of a double beam system supported-supported boundary conditions the modes are written in terms of the elementary functions trigonometric functions sine and cosine.
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spelling 2018-06-26T17:42:58Z2018-06-26T17:42:58Z2016-11-23http://repositorio.ufsm.br/handle/1/13552This study aims to determine the eigenfunctions or vibration modes of a system composed of two beams coupled by an elastic layer and modeled mathematically by Timoshenko theory for beams. The study is conducted through modal analysis with a block matrix formulation and the vibration modes are written in terms of the fundamental matrix response, which is the fundamental solution of an impulsive initial value problem with matrix coe cients. The vibration modes are obtained for various boundary conditions in terms of the fundamental matrix solution. For the particular case of a double beam system supported-supported boundary conditions the modes are written in terms of the elementary functions trigonometric functions sine and cosine.Este trabalho tem como objetivo determinar as autofunções ou modos de vibração de um sistema composto por duas vigas acopladas por uma camada elástica e modelado ma- tematicamente pela teoria de Timoshenko para vigas. O estudo ´e realizado através de análise modal com uma formulaço matricial em blocos e os modos de vibração são escritos em termos da resposta matricial fundamental, a qual é a solução fundamental de um problema de valor inicial com coeficientes matriciais. Os modos de vibração são obtidos, para diversas condições de contorno, em termos da solução fundamental matricial. Para o caso particular de um sistema de vigas duplas com condições de contorno biapoiadas os modos são escritos em termos de funções trigonométricas elementares senos e cossenos.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em MatemáticaUFSMBrasilMatemáticaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessModos de vibraçãoViga dupla de TImoshenkoAnálise modalResposta impulso fundamentalVibration modesDouble beam of TimoshenkoModal analysisFundamental impulse responseCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAAutofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamenteEigenfunctions of the Timoshenko model in a system of two elastically coupled beamsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisCopetti, Rosemaira Dalcinhttp://lattes.cnpq.br/6002394404374660Carvalho, João Batista Pazhttp://lattes.cnpq.br/7243474434573621Claeyssen, Julio Cesar Ruizhttp://lattes.cnpq.br/7065859575921588http://lattes.cnpq.br/9411609957228380Pavlack, Bruna Silveira1001000000086002bf94092-ebd9-4023-be18-3c20b9df662ce4252702-5079-4b93-bf5f-adbab81d12c403eabc6f-c19e-4476-a2a0-fa705169eecab6f58f95-0e06-4d0e-a318-2dd917edfcfcreponame:Repositório Institucional Manancial UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALDIS_PPGMATEMATICA_2016_PAVLACK_BRUNA.pdfDIS_PPGMATEMATICA_2016_PAVLACK_BRUNA.pdfDissertação de Mestradoapplication/pdf2854286http://repositorio.ufsm.br/bitstream/1/13552/1/DIS_PPGMATEMATICA_2016_PAVLACK_BRUNA.pdfff57eb6709a3774588a23f3fd558b88dMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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dc.title.por.fl_str_mv Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
dc.title.alternative.eng.fl_str_mv Eigenfunctions of the Timoshenko model in a system of two elastically coupled beams
title Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
spellingShingle Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
Pavlack, Bruna Silveira
Modos de vibração
Viga dupla de TImoshenko
Análise modal
Resposta impulso fundamental
Vibration modes
Double beam of Timoshenko
Modal analysis
Fundamental impulse response
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
title_full Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
title_fullStr Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
title_full_unstemmed Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
title_sort Autofuncões do modelo de Timoshenko em um sistema de duas vigas acopladas elasticamente
author Pavlack, Bruna Silveira
author_facet Pavlack, Bruna Silveira
author_role author
dc.contributor.advisor1.fl_str_mv Copetti, Rosemaira Dalcin
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/6002394404374660
dc.contributor.referee1.fl_str_mv Carvalho, João Batista Paz
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/7243474434573621
dc.contributor.referee2.fl_str_mv Claeyssen, Julio Cesar Ruiz
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/7065859575921588
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/9411609957228380
dc.contributor.author.fl_str_mv Pavlack, Bruna Silveira
contributor_str_mv Copetti, Rosemaira Dalcin
Carvalho, João Batista Paz
Claeyssen, Julio Cesar Ruiz
dc.subject.por.fl_str_mv Modos de vibração
Viga dupla de TImoshenko
Análise modal
Resposta impulso fundamental
topic Modos de vibração
Viga dupla de TImoshenko
Análise modal
Resposta impulso fundamental
Vibration modes
Double beam of Timoshenko
Modal analysis
Fundamental impulse response
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Vibration modes
Double beam of Timoshenko
Modal analysis
Fundamental impulse response
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
description This study aims to determine the eigenfunctions or vibration modes of a system composed of two beams coupled by an elastic layer and modeled mathematically by Timoshenko theory for beams. The study is conducted through modal analysis with a block matrix formulation and the vibration modes are written in terms of the fundamental matrix response, which is the fundamental solution of an impulsive initial value problem with matrix coe cients. The vibration modes are obtained for various boundary conditions in terms of the fundamental matrix solution. For the particular case of a double beam system supported-supported boundary conditions the modes are written in terms of the elementary functions trigonometric functions sine and cosine.
publishDate 2016
dc.date.issued.fl_str_mv 2016-11-23
dc.date.accessioned.fl_str_mv 2018-06-26T17:42:58Z
dc.date.available.fl_str_mv 2018-06-26T17:42:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufsm.br/handle/1/13552
url http://repositorio.ufsm.br/handle/1/13552
dc.language.iso.fl_str_mv por
language por
dc.relation.cnpq.fl_str_mv 100100000008
dc.relation.confidence.fl_str_mv 600
dc.relation.authority.fl_str_mv 2bf94092-ebd9-4023-be18-3c20b9df662c
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dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática
dc.publisher.initials.fl_str_mv UFSM
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Matemática
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
dc.source.none.fl_str_mv reponame:Repositório Institucional Manancial UFSM
instname:Universidade Federal de Santa Maria (UFSM)
instacron:UFSM
instname_str Universidade Federal de Santa Maria (UFSM)
instacron_str UFSM
institution UFSM
reponame_str Repositório Institucional Manancial UFSM
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