Nonlinear dynamics of a pendulum excited by a crank-shaft-slider mechanism
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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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 |
|
_version_ |
1808129223105183744 |