Chaotic vibrations of a nonideal electro-mechanical system

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dc.contributor.authorBelato, D.
dc.contributor.authorWeber, H. I.
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorMook, D. T.
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionPontifícia Universidade Católica do Rio de Janeiro (PUC-Rio)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionVirginia Polytech Inst & State Univ
dc.date.accessioned2014-05-20T15:19:52Z
dc.date.available2014-05-20T15:19:52Z
dc.date.issued2001-03-01
dc.description.abstractNonideal systems are those in which one takes account of the influence of the oscillatory system on the energy supply with a limited power (Kononenko, 1969). In this paper, a particular nonideal system is investigated, consisting of a pendulum whose support point is vibrated along a horizontal guide by a two bar linkage driven by a DC motor, considered to be a limited power supply. Under these conditions, the oscillations of the pendulum are analyzed through the variation of a control parameter. The voltage supply of the motor is considered to be a reliable control parameter. Each simulation starts from zero speed and reaches a steady-state condition when the motor oscillates around a medium speed. Near the fundamental resonance region, the system presents some interesting nonlinear phenomena, including multi-periodic, quasiperiodic, and chaotic motion. The loss of stability of the system occurs through a saddle-node bifurcation, where there is a collision of a stable orbit with an unstable one, which is approximately located close to the value of the pendulum's angular displacement given by alpha (C)= pi /2. The aims of this study are to better understand nonideal systems using numerical simulation, to identify the bifurcations that occur in the system, and to report the existence of a chaotic attractor near the fundamental resonance. (C) 2001 Elsevier B.V. Ltd. All rights reserved.en
dc.description.affiliationUniv Estadual Campinas, Fac Engn Mecan, BR-13083970 Campinas, SP, Brazil
dc.description.affiliationPontificia Univ Catolica Rio de Janeiro, DEM, BR-22453900 Rio de Janeiro, Brazil
dc.description.affiliationUNESP, Inst Geociencias & Ciências Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationVirginia Polytech Inst & State Univ, Blacksburg, VA 24061 USA
dc.description.affiliationUnespUNESP, Inst Geociencias & Ciências Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent1699-1706
dc.identifierhttp://dx.doi.org/10.1016/S0020-7683(00)00130-X
dc.identifier.citationInternational Journal of Solids and Structures. Oxford: Pergamon-Elsevier B.V., v. 38, n. 10-13, p. 1699-1706, 2001.
dc.identifier.doi10.1016/S0020-7683(00)00130-X
dc.identifier.issn0020-7683
dc.identifier.urihttp://hdl.handle.net/11449/31260
dc.identifier.wosWOS:000166882800005
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofInternational Journal of Solids and Structures
dc.relation.ispartofjcr2.566
dc.relation.ispartofsjr1,295
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectnonideal systemspt
dc.subjectnonlinear dynamicspt
dc.subjectchaotic vibrationspt
dc.titleChaotic vibrations of a nonideal electro-mechanical systemen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE