Estabilidade de treliça abatida de material hiperelástico
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/11629 |
Resumo: | The study of the stability of truss slaughtered hyperelastic material is part of the research line of nonlinear dynamic stability of structural elements. In this work, an analytical solution is initially used, where the equations that govern the structural system of a flat truss of two bars, hyperelastic, symmetrical and asymmetric, are obtained from the variation of the system's energy functional, using the Euler-Lagrange equations. The incompressible hyperelastic material is described by the neo-Hookean constitutive model, also considering geometric nonlinearity in the study. The Finite Element Method (FES) is used through the ABAQUS® finite element commercial program to perform static and dynamic analyses to verify the influence of bending efforts on the behavior of the trusses studied. Thus, the main stresses, buckling load and the balance paths of the external forces and axial loads on the bars are obtained in static analysis. From dynamic analysis, frequency-load, frequency displacement, phase planes and responses in time under forced vibration are obtained. The results obtained allow us to conclude that the presence of bending efforts led to higher values for the natural frequency and limit load of the structure. |
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Soares, Renata Machadohttp://lattes.cnpq.br/1938664529309726Albuquerque, Arthur Alax de AraujoDel Prad, Zenon José Guzman NunezSoares, Renata Machadohttp://lattes.cnpq.br/8059385562167562Santos, Antônio Adryel Lima dos2021-09-14T16:45:15Z2021-09-14T16:45:15Z2021-08-27SANTOS, A. A. L. Estabilidade de treliça abatida de material hiperelástico. 2021. 83 f. Dissertação (Mestrado em Geotecnia, Estruturas e Construção Civil) - Universidade Federal de Goiás, Goiânia, 2021.http://repositorio.bc.ufg.br/tede/handle/tede/11629ark:/38995/001300000f415The study of the stability of truss slaughtered hyperelastic material is part of the research line of nonlinear dynamic stability of structural elements. In this work, an analytical solution is initially used, where the equations that govern the structural system of a flat truss of two bars, hyperelastic, symmetrical and asymmetric, are obtained from the variation of the system's energy functional, using the Euler-Lagrange equations. The incompressible hyperelastic material is described by the neo-Hookean constitutive model, also considering geometric nonlinearity in the study. The Finite Element Method (FES) is used through the ABAQUS® finite element commercial program to perform static and dynamic analyses to verify the influence of bending efforts on the behavior of the trusses studied. Thus, the main stresses, buckling load and the balance paths of the external forces and axial loads on the bars are obtained in static analysis. From dynamic analysis, frequency-load, frequency displacement, phase planes and responses in time under forced vibration are obtained. The results obtained allow us to conclude that the presence of bending efforts led to higher values for the natural frequency and limit load of the structure.O estudo da estabilidade de treliça abatida de material hiperelástico insere-se na linha de pesquisa de estabilidade dinâmica não linear de elementos estruturais. Neste trabalho, inicialmente utiliza-se solução analítica, onde as equações que governam o sistema estrutural de uma treliça plana de duas barras, hiperelástica, simétrica e assimétrica, são obtidas a partir da variação do funcional de energia do sistema, utilizando as equações de Euler-Lagrange. O material hiperelástico incompressível é descrito pelo modelo constitutivo neo-Hookeano, considerando-se também a não linearidade geométrica no estudo. Utiliza-se o Método dos Elementos Finitos (MEF) através do programa comercial de elementos finitos ABAQUS®, para realizar análises estáticas e dinâmicas, com o intuito de verificar a influência dos esforços de flexão no comportamento das treliças estudadas. Desta forma, obtém-se na análise estática as tensões principais, carga de flambagem e os caminhos de equilíbrio das forças externas e das cargas axiais nas barras. Da análise dinâmica são obtidas as curvas frequência-carga, frequência deslocamento, planos fase e respostas no tempo sob vibração forçada. Os resultados obtidos permitem concluir que a presença dos esforços de flexão acarretou maiores valores para a frequência natural e carga limite da estrutura.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2021-09-13T15:33:56Z No. of bitstreams: 2 Dissertação - Antônio Adryel Lima dos Santos - 2021.pdf: 3844267 bytes, checksum: c82add994e8bb9f4d41c4881f741ef8e (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2021-09-14T16:45:15Z (GMT) No. of bitstreams: 2 Dissertação - Antônio Adryel Lima dos Santos - 2021.pdf: 3844267 bytes, checksum: c82add994e8bb9f4d41c4881f741ef8e (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Made available in DSpace on 2021-09-14T16:45:15Z (GMT). No. of bitstreams: 2 Dissertação - Antônio Adryel Lima dos Santos - 2021.pdf: 3844267 bytes, checksum: c82add994e8bb9f4d41c4881f741ef8e (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Previous issue date: 2021-08-27Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESporUniversidade Federal de GoiásPrograma de Pós-graduação em Geotecnia, Estruturas e Construção Civil (EEC)UFGBrasilEscola de Engenharia Civil e Ambiental - EECA (RG)Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessTreliça abatidaMaterial hiperelástico neo-HookeanoEnergia de flexãoNão linearidade geométricaMétodo dos elementos finitosAnálise estáticaAnálise dinâmicaTruss downNeo-Hookean hyperelasticmaterialBending energyGeometric nonlinearityFinite element methodStatic analysisDynamic analysisENGENHARIAS::ENGENHARIA CIVIL::ESTRUTURASEstabilidade de treliça abatida de material hiperelásticoStability of truss slaughtered of hyperelastic materialinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6250050050050033991reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/b144c739-e629-414f-a632-90a1eadc3096/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/069a5ca5-f8a2-48a5-bc2b-f3754043508f/download4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDissertação - Antônio Adryel Lima dos Santos - 2021.pdfDissertação - Antônio Adryel Lima dos Santos - 2021.pdfapplication/pdf3844267http://repositorio.bc.ufg.br/tede/bitstreams/d9517999-1471-454f-8ad7-a5c0790a9fab/downloadc82add994e8bb9f4d41c4881f741ef8eMD53tede/116292021-09-14 13:45:15.895http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/11629http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2021-09-14T16:45:15Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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 |
dc.title.pt_BR.fl_str_mv |
Estabilidade de treliça abatida de material hiperelástico |
dc.title.alternative.eng.fl_str_mv |
Stability of truss slaughtered of hyperelastic material |
title |
Estabilidade de treliça abatida de material hiperelástico |
spellingShingle |
Estabilidade de treliça abatida de material hiperelástico Santos, Antônio Adryel Lima dos Treliça abatida Material hiperelástico neo-Hookeano Energia de flexão Não linearidade geométrica Método dos elementos finitos Análise estática Análise dinâmica Truss down Neo-Hookean hyperelasticmaterial Bending energy Geometric nonlinearity Finite element method Static analysis Dynamic analysis ENGENHARIAS::ENGENHARIA CIVIL::ESTRUTURAS |
title_short |
Estabilidade de treliça abatida de material hiperelástico |
title_full |
Estabilidade de treliça abatida de material hiperelástico |
title_fullStr |
Estabilidade de treliça abatida de material hiperelástico |
title_full_unstemmed |
Estabilidade de treliça abatida de material hiperelástico |
title_sort |
Estabilidade de treliça abatida de material hiperelástico |
author |
Santos, Antônio Adryel Lima dos |
author_facet |
Santos, Antônio Adryel Lima dos |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Soares, Renata Machado |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/1938664529309726 |
dc.contributor.referee1.fl_str_mv |
Albuquerque, Arthur Alax de Araujo |
dc.contributor.referee2.fl_str_mv |
Del Prad, Zenon José Guzman Nunez |
dc.contributor.referee3.fl_str_mv |
Soares, Renata Machado |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/8059385562167562 |
dc.contributor.author.fl_str_mv |
Santos, Antônio Adryel Lima dos |
contributor_str_mv |
Soares, Renata Machado Albuquerque, Arthur Alax de Araujo Del Prad, Zenon José Guzman Nunez Soares, Renata Machado |
dc.subject.por.fl_str_mv |
Treliça abatida Material hiperelástico neo-Hookeano Energia de flexão Não linearidade geométrica Método dos elementos finitos Análise estática Análise dinâmica |
topic |
Treliça abatida Material hiperelástico neo-Hookeano Energia de flexão Não linearidade geométrica Método dos elementos finitos Análise estática Análise dinâmica Truss down Neo-Hookean hyperelasticmaterial Bending energy Geometric nonlinearity Finite element method Static analysis Dynamic analysis ENGENHARIAS::ENGENHARIA CIVIL::ESTRUTURAS |
dc.subject.eng.fl_str_mv |
Truss down Neo-Hookean hyperelasticmaterial Bending energy Geometric nonlinearity Finite element method Static analysis Dynamic analysis |
dc.subject.cnpq.fl_str_mv |
ENGENHARIAS::ENGENHARIA CIVIL::ESTRUTURAS |
description |
The study of the stability of truss slaughtered hyperelastic material is part of the research line of nonlinear dynamic stability of structural elements. In this work, an analytical solution is initially used, where the equations that govern the structural system of a flat truss of two bars, hyperelastic, symmetrical and asymmetric, are obtained from the variation of the system's energy functional, using the Euler-Lagrange equations. The incompressible hyperelastic material is described by the neo-Hookean constitutive model, also considering geometric nonlinearity in the study. The Finite Element Method (FES) is used through the ABAQUS® finite element commercial program to perform static and dynamic analyses to verify the influence of bending efforts on the behavior of the trusses studied. Thus, the main stresses, buckling load and the balance paths of the external forces and axial loads on the bars are obtained in static analysis. From dynamic analysis, frequency-load, frequency displacement, phase planes and responses in time under forced vibration are obtained. The results obtained allow us to conclude that the presence of bending efforts led to higher values for the natural frequency and limit load of the structure. |
publishDate |
2021 |
dc.date.accessioned.fl_str_mv |
2021-09-14T16:45:15Z |
dc.date.available.fl_str_mv |
2021-09-14T16:45:15Z |
dc.date.issued.fl_str_mv |
2021-08-27 |
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.citation.fl_str_mv |
SANTOS, A. A. L. Estabilidade de treliça abatida de material hiperelástico. 2021. 83 f. Dissertação (Mestrado em Geotecnia, Estruturas e Construção Civil) - Universidade Federal de Goiás, Goiânia, 2021. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/11629 |
dc.identifier.dark.fl_str_mv |
ark:/38995/001300000f415 |
identifier_str_mv |
SANTOS, A. A. L. Estabilidade de treliça abatida de material hiperelástico. 2021. 83 f. Dissertação (Mestrado em Geotecnia, Estruturas e Construção Civil) - Universidade Federal de Goiás, Goiânia, 2021. ark:/38995/001300000f415 |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/11629 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.program.fl_str_mv |
62 |
dc.relation.confidence.fl_str_mv |
500 500 500 500 |
dc.relation.department.fl_str_mv |
3 |
dc.relation.cnpq.fl_str_mv |
399 |
dc.relation.sponsorship.fl_str_mv |
1 |
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 Goiás |
dc.publisher.program.fl_str_mv |
Programa de Pós-graduação em Geotecnia, Estruturas e Construção Civil (EEC) |
dc.publisher.initials.fl_str_mv |
UFG |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Escola de Engenharia Civil e Ambiental - EECA (RG) |
publisher.none.fl_str_mv |
Universidade Federal de Goiás |
dc.source.none.fl_str_mv |
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