NONLINEAR DYNAMICS OF A PENDULUM EXCITED BY A CRANK-SHAFT-SLIDER MECHANISM

Detalhes bibliográficos
Autor(a) principal: Avanco, Rafael H.
Data de Publicação: 2015
Outros Autores: Navarro, Helio A., Brasil, Reyolando M. L. R. F., Balthazar, Jose M. [UNESP], ASME
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/158988
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.Univ Sao Paulo, Sao Carlos, SP, BrazilFed Univ ABC, Santo Andre, SP, BrazilUNESP Bauru, Bauru, SP, BrazilUNESP Bauru, Bauru, SP, BrazilAmer Soc Mechanical EngineersUniversidade de São Paulo (USP)Universidade Federal do ABC (UFABC)Universidade Estadual Paulista (Unesp)Avanco, Rafael H.Navarro, Helio A.Brasil, Reyolando M. L. R. F.Balthazar, Jose M. [UNESP]ASME2018-11-26T15:30:38Z2018-11-26T15:30:38Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject10Asme International Mechanical Engineering Congress And Exposition, 2014, Vol 4b. New York: Amer Soc Mechanical Engineers, 10 p., 2015.http://hdl.handle.net/11449/158988WOS:000380413200025Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAsme International Mechanical Engineering Congress And Exposition, 2014, Vol 4binfo:eu-repo/semantics/openAccess2021-10-23T21:46:58Zoai:repositorio.unesp.br:11449/158988Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:46:58Repositório 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
Avanco, 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 Avanco, Rafael H.
author_facet Avanco, Rafael H.
Navarro, Helio A.
Brasil, Reyolando M. L. R. F.
Balthazar, Jose M. [UNESP]
ASME
author_role author
author2 Navarro, Helio A.
Brasil, Reyolando M. L. R. F.
Balthazar, Jose M. [UNESP]
ASME
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Federal do ABC (UFABC)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Avanco, Rafael H.
Navarro, Helio A.
Brasil, Reyolando M. L. R. F.
Balthazar, Jose M. [UNESP]
ASME
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 2015
dc.date.none.fl_str_mv 2015-01-01
2018-11-26T15:30:38Z
2018-11-26T15:30:38Z
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 Asme International Mechanical Engineering Congress And Exposition, 2014, Vol 4b. New York: Amer Soc Mechanical Engineers, 10 p., 2015.
http://hdl.handle.net/11449/158988
WOS:000380413200025
identifier_str_mv Asme International Mechanical Engineering Congress And Exposition, 2014, Vol 4b. New York: Amer Soc Mechanical Engineers, 10 p., 2015.
WOS:000380413200025
url http://hdl.handle.net/11449/158988
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Asme International Mechanical Engineering Congress And Exposition, 2014, Vol 4b
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 10
dc.publisher.none.fl_str_mv Amer Soc Mechanical Engineers
publisher.none.fl_str_mv Amer Soc Mechanical Engineers
dc.source.none.fl_str_mv Web of Science
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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