NONLINEAR DYNAMICS OF A PENDULUM EXCITED BY A CRANK-SHAFT-SLIDER MECHANISM
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , |
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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Repositório Institucional da UNESP |
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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:29462024-08-05T21:37:30.487629Repositório 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 |
|
_version_ |
1808129342412161024 |