On a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)

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dc.contributor.authorPiccirillo, Vinicius [UNESP]
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorPontes, Bento Rodrigues [UNESP]
dc.contributor.authorPsalacios Felix, Jorge Luis [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:50:47Z
dc.date.accessioned2014-05-20T14:16:33Z
dc.date.available2013-09-30T18:50:47Z
dc.date.available2014-05-20T14:16:33Z
dc.date.issued2008-01-01
dc.description.abstractIn this paper, we present nonlinear dynamic behaviour of a system which consists of a mass connected to a rigid support by a shape memory alloy (SMA) element and a damper. In order to disturb the system, a DC motor with limited power supply is connected to the mass, causing an interaction between the vibrating structure and the energy source. The SMA element is characterised using a one-dimensional phenomenological constitutive model, based on the classical Devonshire theory. We analyse the non-ideal system in form of two coupled nonlinear differential equations. Some interesting nonlinear phenomena as the Sommerfeld effect and nonlinear resonance including periodic, chaotic and hyperchaotic regime are presented.en
dc.description.affiliationUNESP, Dept Engn Mech, Bauru, SP, Brazil
dc.description.affiliationUNESP, Dept Stat Appl Math & Computat, Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Engn Mech, Bauru, SP, Brazil
dc.description.affiliationUnespUNESP, Dept Stat Appl Math & Computat, Rio Claro, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent597-620
dc.identifierhttp://www.ptmts.org.pl/article.xsl?vol=46&no=3&page=597
dc.identifier.citationJournal of Theoretical and Applied Mechanics. Warszawa: Polish Soc Theoretical & Applied Mechanics, v. 46, n. 3, p. 597-620, 2008.
dc.identifier.fileWOS000258787200008.pdf
dc.identifier.issn1429-2955
dc.identifier.urihttp://hdl.handle.net/11449/24970
dc.identifier.wosWOS:000258787200008
dc.language.isoeng
dc.publisherPolish Soc Theoretical & Applied Mechanics
dc.relation.ispartofJournal of Theoretical and Applied Mechanics
dc.relation.ispartofjcr0.783
dc.relation.ispartofsjr0,321
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectshape memoryen
dc.subjectnonlinear dynamicsen
dc.subjectchaosen
dc.subjecthiperchaosen
dc.subjectSommerfeld effecten
dc.titleOn a nonlinear and chaotic non-ideal vibrating system with shape memory alloy (SMA)en
dc.typeArtigo
dcterms.licensehttp://www.ptmts.org.pl/jtam.html
dcterms.rightsHolderPolish Soc Theoretical & Applied Mechanics
unesp.author.orcid0000-0002-9796-3609[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Baurupt
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Engenharia Mecânica - FEB
Artigos - Estatistica, Matemática Aplicada e Computação - IGCE