Identification of nonlinear structures using discrete-time Volterra series

dc.contributor.authorShiki, Sidney Bruce [UNESP]
dc.contributor.authorLopes, Vicente [UNESP]
dc.contributor.authorSilva, Samuel da [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-12-03T13:11:50Z
dc.date.available2014-12-03T13:11:50Z
dc.date.issued2014-05-01
dc.description.abstractMathematical modeling of mechanical structures is an important research area in structural dynamics. The goal is to obtain a model that accurately predicts the dynamics of the system. However, the nonlinear effects caused by gaps, backlash, joints, as well as large displacements are not as well understood as the linear counterpart. In this sense, the Volterra series is an interesting tool for the analysis of nonlinear systems, since it is a generalization of the linear model based on the impulse response function. This paper applies the discrete-time Volterra series expanded in orthonormal Kautz functions to identify a model of a nonlinear benchmark system represented by a Duffing oscillator. The input and output data are used to identify the Volterra kernels of the structure. After the identification of the model, the linear and nonlinear components of the response of the system can be analyzed separately. The paper concludes by indicating the main advantages and drawbacks of this technique to model the behavior of nonlinear systems.en
dc.description.affiliationUniv Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Engn Mecan, BR-15385000 Ilha Solteira, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Fac Engn Ilha Solteira, Dept Engn Mecan, BR-15385000 Ilha Solteira, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)
dc.description.sponsorshipIdFAPESP: 12/04757-6
dc.description.sponsorshipIdFAPESP: 12/09135-3
dc.description.sponsorshipIdCNPq: 470582/2012-0
dc.format.extent523-532
dc.identifierhttp://dx.doi.org/10.1007/s40430-013-0088-9
dc.identifier.citationJournal Of The Brazilian Society Of Mechanical Sciences And Engineering. Rio De Janeiro Rj: Abcm Brazilian Soc Mechanical Sciences & Engineering, v. 36, n. 3, p. 523-532, 2014.
dc.identifier.doi10.1007/s40430-013-0088-9
dc.identifier.issn1678-5878
dc.identifier.lattes1457178419328525
dc.identifier.urihttp://hdl.handle.net/11449/113636
dc.identifier.wosWOS:000335154600010
dc.language.isoeng
dc.publisherAbcm Brazilian Soc Mechanical Sciences & Engineering
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineering
dc.relation.ispartofjcr1.627
dc.relation.ispartofsjr0,362
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSystem identificationen
dc.subjectNonlinear structuresen
dc.subjectVolterra Seriesen
dc.subjectKautz filtersen
dc.titleIdentification of nonlinear structures using discrete-time Volterra seriesen
dc.typeArtigo
dcterms.rightsHolderAbcm Brazilian Soc Mechanical Sciences & Engineering
unesp.author.lattes1457178419328525
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt

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