On energy transfer between linear and nonlinear oscillators

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dc.contributor.authorHorta Dantas, Marcio Jose
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.institutionUniversidade Federal de Uberlândia (UFU)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:50:30Z
dc.date.accessioned2014-05-20T14:16:21Z
dc.date.available2013-09-30T18:50:30Z
dc.date.available2014-05-20T14:16:21Z
dc.date.issued2008-09-09
dc.description.abstractIn this paper energy transfer in a dissipative mechanical system is analysed. Such system is composed of a linear and a nonlinear oscillator with a nonlinearizable cubic stiffness. Depending on initial conditions, we find energy transfer either from linear to nonlinear oscillator (energy pumping) or from nonlinear to linear. Such results are valid for two different potentials. However, under resonance and absence of external excitation, if the mass of the nonlinear oscillator is adequately small then the linear oscillator always loses energy. Our approach uses rigorous Regular Perturbation Theory. Besides, we have included the case of two linear oscillators under linear or cubic interactions. Comparisons with the earlier case are made. (c) 2008 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniversidade Federal de Uberlândia (UFU), Fac Matemat, BR-38400902 Uberlandia, MG, Brazil
dc.description.affiliationUNESP, Dept Estat Matemat Aplicada & Comp, Inst Geociencias & Ciencias Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Estat Matemat Aplicada & Comp, Inst Geociencias & Ciencias Exatas, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent1047-1070
dc.identifierhttp://dx.doi.org/10.1016/j.jsv.2008.02.033
dc.identifier.citationJournal of Sound and Vibration. London: Academic Press Ltd Elsevier B.V. Ltd, v. 315, n. 4-5, p. 1047-1070, 2008.
dc.identifier.doi10.1016/j.jsv.2008.02.033
dc.identifier.issn0022-460X
dc.identifier.urihttp://hdl.handle.net/11449/24922
dc.identifier.wosWOS:000257517000016
dc.language.isoeng
dc.publisherAcademic Press Ltd Elsevier B.V. Ltd
dc.relation.ispartofJournal of Sound and Vibration
dc.relation.ispartofjcr2.618
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleOn energy transfer between linear and nonlinear oscillatorsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderAcademic Press Ltd Elsevier B.V. Ltd
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE