Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism

Detalhes bibliográficos
Autor(a) principal: Avanço, Rafael H.
Data de Publicação: 2014
Outros Autores: Navarro, Hélio A., Brasil, Reyolando M.L.R.F., Balthazar, José M. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1115/IMECE2014-36643
http://hdl.handle.net/11449/167802
Resumo: In this analysis, we consider the dynamics of a pendulum under vertical excitation of a crank-shaft-slider mechanism. The nonlinear model approaches that of a classical parametrically excited pendulum when the ratio of the length of the shaft to the radius of the crank is very large. Numerical techniques are employed to investigate the results for different parameters and initial conditions. Lyapunov exponents, bifurcation diagrams, time histories and phase portraits are presented to explore conditions when the pendulum performs or not full rotations. Of special interest are the resonance regions. Rotations together with oscillations and chaos were observed in some resonance zones.
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spelling Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanismIn this analysis, we consider the dynamics of a pendulum under vertical excitation of a crank-shaft-slider mechanism. The nonlinear model approaches that of a classical parametrically excited pendulum when the ratio of the length of the shaft to the radius of the crank is very large. Numerical techniques are employed to investigate the results for different parameters and initial conditions. Lyapunov exponents, bifurcation diagrams, time histories and phase portraits are presented to explore conditions when the pendulum performs or not full rotations. Of special interest are the resonance regions. Rotations together with oscillations and chaos were observed in some resonance zones.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)University of São PauloFederal University of ABCUNESP-BauruUNESP-BauruUniversidade de São Paulo (USP)Federal University of ABCUniversidade Estadual Paulista (Unesp)Avanço, Rafael H.Navarro, Hélio A.Brasil, Reyolando M.L.R.F.Balthazar, José M. [UNESP]2018-12-11T16:38:23Z2018-12-11T16:38:23Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1115/IMECE2014-36643ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), v. 4B.http://hdl.handle.net/11449/16780210.1115/IMECE2014-366432-s2.0-84926483175Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)info:eu-repo/semantics/openAccess2021-10-23T21:47:05Zoai:repositorio.unesp.br:11449/167802Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:35:01.045419Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
title Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
spellingShingle Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
Avanço, Rafael H.
title_short Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
title_full Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
title_fullStr Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
title_full_unstemmed Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
title_sort Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
author Avanço, Rafael H.
author_facet Avanço, Rafael H.
Navarro, Hélio A.
Brasil, Reyolando M.L.R.F.
Balthazar, José M. [UNESP]
author_role author
author2 Navarro, Hélio A.
Brasil, Reyolando M.L.R.F.
Balthazar, José M. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Federal University of ABC
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Avanço, Rafael H.
Navarro, Hélio A.
Brasil, Reyolando M.L.R.F.
Balthazar, José M. [UNESP]
description In this analysis, we consider the dynamics of a pendulum under vertical excitation of a crank-shaft-slider mechanism. The nonlinear model approaches that of a classical parametrically excited pendulum when the ratio of the length of the shaft to the radius of the crank is very large. Numerical techniques are employed to investigate the results for different parameters and initial conditions. Lyapunov exponents, bifurcation diagrams, time histories and phase portraits are presented to explore conditions when the pendulum performs or not full rotations. Of special interest are the resonance regions. Rotations together with oscillations and chaos were observed in some resonance zones.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01
2018-12-11T16:38:23Z
2018-12-11T16:38:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1115/IMECE2014-36643
ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), v. 4B.
http://hdl.handle.net/11449/167802
10.1115/IMECE2014-36643
2-s2.0-84926483175
url http://dx.doi.org/10.1115/IMECE2014-36643
http://hdl.handle.net/11449/167802
identifier_str_mv ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), v. 4B.
10.1115/IMECE2014-36643
2-s2.0-84926483175
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
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
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