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On the undamped free vibration of a mass interacting with a Hertzian contact stiffness

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dc.contributor.authorXiao, Huifang
dc.contributor.authorBrennan, M. J. [UNESP]
dc.contributor.authorShao, Yimin
dc.contributor.institutionChongqing University
dc.contributor.institutionUniversity of Southampton
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:26:14Z
dc.date.available2014-05-27T11:26:14Z
dc.date.issued2011-12-01
dc.description.abstractThree methods are used to determine the natural frequency of undamped free vibration of a mass interacting with a Hertzian contact stiffness. The exact value is determined using the first integral of motion. The harmonic balance method is used on a transformed equation for an approximate solution, and the multiple scales method is used on an approximate equation. The maximum initial displacement avoiding contact loss is also determined, and the corresponding exact natural frequency is also obtained analytically. The methods are evaluated by studying the free vibration of an elastic sphere on a flat rigid surface. © 2011 Elsevier Ltd © 2011 Elsevier Ltd. All rights reserved.en
dc.description.affiliationState Key Laboratory of Mechanical Transmission Chongqing University, Chongqing 400044
dc.description.affiliationInstitute of Sound and Vibration Research University of Southampton, Southampton, Hampshire SO17 1BJ
dc.description.affiliationDepartamento Do Engenharia Mecânica UNESP, Ilha Solteira, SP 15385-000
dc.description.affiliationUnespDepartamento Do Engenharia Mecânica UNESP, Ilha Solteira, SP 15385-000
dc.format.extent560-564
dc.identifierhttp://dx.doi.org/10.1016/j.mechrescom.2011.07.012
dc.identifier.citationMechanics Research Communications, v. 38, n. 8, p. 560-564, 2011.
dc.identifier.doi10.1016/j.mechrescom.2011.07.012
dc.identifier.issn0093-6413
dc.identifier.lattes3283762683761655
dc.identifier.scopus2-s2.0-80052552681
dc.identifier.urihttp://hdl.handle.net/11449/72837
dc.language.isoeng
dc.relation.ispartofMechanics Research Communications
dc.relation.ispartofjcr1.640
dc.relation.ispartofsjr0,814
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectHertzian contact stiffness
dc.subjectNatural frequency
dc.subjectUndamped free vibration
dc.subjectApproximate equation
dc.subjectApproximate solution
dc.subjectContact loss
dc.subjectElastic sphere
dc.subjectFirst integral
dc.subjectFree vibration
dc.subjectHarmonic Balance method
dc.subjectHertzian contacts
dc.subjectMultiple scales methods
dc.subjectRigid surfaces
dc.subjectNatural frequencies
dc.subjectSpheres
dc.subjectStiffness
dc.titleOn the undamped free vibration of a mass interacting with a Hertzian contact stiffnessen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dspace.entity.typePublication
unesp.author.lattes3283762683761655
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Engenharia, Ilha Solteirapt
unesp.departmentEngenharia Mecânica - FEISpt

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Ilha Solteira - FEIS - Faculdade de Engenharia