Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system

Detalhes bibliográficos
Autor(a) principal: Moraes, Fernando H. [UNESP]
Data de Publicação: 2013
Outros Autores: Pontes, Bento R. [UNESP], Silveira, Marcos [UNESP], Balthazar, José M. [UNESP], Brasil, Reyolando M.L.R.F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/227877
Resumo: The objective of the present work is to analyze the dynamics of a vibro-impact system consisting of two blocks of different mass coupled by a spring with two stages. Two different types of excitation sources for the system are used in the analysis: The first is an ideal excitation in form of a harmonic force, and the second is a non-ideal excitation in form of a DC electric motor with limited power supply which has an unbalanced rotor. The control parameter for both situations is the excitation frequency of the system. The analysis includes time histories of displacements and velocities, phase portraits and diagrams of the displacement and frequency, used to show the Sommerfeld effect. For certain values of the parameters of the system, the motion is chaotic. The mathematical model of the system is used to obtain an insight to the global dynamics of the vibro-impact system. The model with a non-ideal excitation is more realistic, complete and complex than the model with the ideal excitation.
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spelling Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact systemLimited power supplyNon-ideal excitationSommerfeld effectVibro-impact systemThe objective of the present work is to analyze the dynamics of a vibro-impact system consisting of two blocks of different mass coupled by a spring with two stages. Two different types of excitation sources for the system are used in the analysis: The first is an ideal excitation in form of a harmonic force, and the second is a non-ideal excitation in form of a DC electric motor with limited power supply which has an unbalanced rotor. The control parameter for both situations is the excitation frequency of the system. The analysis includes time histories of displacements and velocities, phase portraits and diagrams of the displacement and frequency, used to show the Sommerfeld effect. For certain values of the parameters of the system, the motion is chaotic. The mathematical model of the system is used to obtain an insight to the global dynamics of the vibro-impact system. The model with a non-ideal excitation is more realistic, complete and complex than the model with the ideal excitation.Department of Mechanical Engineering UNESP - São Paulo State UniversityDepartment of Applied Mathematics and Computation IGCE UNESP - Sao Paulo State UniversityFederal University of ABCDepartment of Mechanical Engineering UNESP - São Paulo State UniversityDepartment of Applied Mathematics and Computation IGCE UNESP - Sao Paulo State UniversityUniversidade Estadual Paulista (UNESP)Federal University of ABCMoraes, Fernando H. [UNESP]Pontes, Bento R. [UNESP]Silveira, Marcos [UNESP]Balthazar, José M. [UNESP]Brasil, Reyolando M.L.R.F.2022-04-29T07:21:46Z2022-04-29T07:21:46Z2013-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article763-774Journal of Theoretical and Applied Mechanics (Poland), v. 51, n. 3, p. 763-774, 2013.1429--295http://hdl.handle.net/11449/2278772-s2.0-84908218972Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Theoretical and Applied Mechanics (Poland)info:eu-repo/semantics/openAccess2022-04-29T07:21:46Zoai:repositorio.unesp.br:11449/227877Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T07:21:46Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
title Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
spellingShingle Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
Moraes, Fernando H. [UNESP]
Limited power supply
Non-ideal excitation
Sommerfeld effect
Vibro-impact system
title_short Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
title_full Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
title_fullStr Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
title_full_unstemmed Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
title_sort Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
author Moraes, Fernando H. [UNESP]
author_facet Moraes, Fernando H. [UNESP]
Pontes, Bento R. [UNESP]
Silveira, Marcos [UNESP]
Balthazar, José M. [UNESP]
Brasil, Reyolando M.L.R.F.
author_role author
author2 Pontes, Bento R. [UNESP]
Silveira, Marcos [UNESP]
Balthazar, José M. [UNESP]
Brasil, Reyolando M.L.R.F.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Federal University of ABC
dc.contributor.author.fl_str_mv Moraes, Fernando H. [UNESP]
Pontes, Bento R. [UNESP]
Silveira, Marcos [UNESP]
Balthazar, José M. [UNESP]
Brasil, Reyolando M.L.R.F.
dc.subject.por.fl_str_mv Limited power supply
Non-ideal excitation
Sommerfeld effect
Vibro-impact system
topic Limited power supply
Non-ideal excitation
Sommerfeld effect
Vibro-impact system
description The objective of the present work is to analyze the dynamics of a vibro-impact system consisting of two blocks of different mass coupled by a spring with two stages. Two different types of excitation sources for the system are used in the analysis: The first is an ideal excitation in form of a harmonic force, and the second is a non-ideal excitation in form of a DC electric motor with limited power supply which has an unbalanced rotor. The control parameter for both situations is the excitation frequency of the system. The analysis includes time histories of displacements and velocities, phase portraits and diagrams of the displacement and frequency, used to show the Sommerfeld effect. For certain values of the parameters of the system, the motion is chaotic. The mathematical model of the system is used to obtain an insight to the global dynamics of the vibro-impact system. The model with a non-ideal excitation is more realistic, complete and complex than the model with the ideal excitation.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-01
2022-04-29T07:21:46Z
2022-04-29T07:21:46Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Journal of Theoretical and Applied Mechanics (Poland), v. 51, n. 3, p. 763-774, 2013.
1429--295
http://hdl.handle.net/11449/227877
2-s2.0-84908218972
identifier_str_mv Journal of Theoretical and Applied Mechanics (Poland), v. 51, n. 3, p. 763-774, 2013.
1429--295
2-s2.0-84908218972
url http://hdl.handle.net/11449/227877
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Theoretical and Applied Mechanics (Poland)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 763-774
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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