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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/72837
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dc.contributor.authorXiao, Huifang-
dc.contributor.authorBrennan, M. J.-
dc.contributor.authorShao, Yimin-
dc.date.accessioned2014-05-27T11:26:14Z-
dc.date.accessioned2016-10-25T18:35:49Z-
dc.date.available2014-05-27T11:26:14Z-
dc.date.available2016-10-25T18:35:49Z-
dc.date.issued2011-12-01-
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.issn0093-6413-
dc.identifier.urihttp://hdl.handle.net/11449/72837-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/72837-
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.format.extent560-564-
dc.language.isoeng-
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.typeoutro-
dc.contributor.institutionChongqing University-
dc.contributor.institutionUniversity of Southampton-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
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.identifier.doi10.1016/j.mechrescom.2011.07.012-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofMechanics Research Communications-
dc.identifier.scopus2-s2.0-80052552681-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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