Influence of ideal and non-ideal excitation sources on the dynamics of a nonlinear vibro-impact system
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , , |
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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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:29462024-08-05T16:01:59.080100Repositório 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 |
|
_version_ |
1808128596077707264 |