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On an approximate analytical solution to a nonlinear vibrating problem, excited by a nonideal motor

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dc.contributor.authorBolla, M. R.
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorFelix, J. L. P.
dc.contributor.authorMook, D. T.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Nacional de Pesquisas Espaciais (INPE)
dc.contributor.institutionUniv Integrada Alto Uruguai & Missoes
dc.contributor.institutionVirginia Tech
dc.date.accessioned2014-05-20T15:19:51Z
dc.date.available2014-05-20T15:19:51Z
dc.date.issued2007-12-01
dc.description.abstractThis paper analyzes through Multiple Scales Method a response of a simplified nonideal and nonlinear vibrating system. Here, one verifies the interactions between the dynamics of the DC motor (excitation) and the dynamics of the foundation (spring, damper, and mass). We remarked that we consider cubic nonlinearity (spring) and quadratic nonlinearity (DC motor) of the same order of magnitude according to experimental results. Both analytical and numerical results that we have obtained had good agreement.en
dc.description.affiliationState Univ São Paulo Rio Claro, Dept Appl Math, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationNatl Inst Space Res INPE, Space Mech & Control Div, BR-12201940 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniv Integrada Alto Uruguai & Missoes, Dept Exact Sci & Earth URI, BR-98802470 Santo Angelo, RS, Brazil
dc.description.affiliationVirginia Tech, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
dc.description.affiliationUnespState Univ São Paulo Rio Claro, Dept Appl Math, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent841-847
dc.identifierhttp://dx.doi.org/10.1007/s11071-007-9232-3
dc.identifier.citationNonlinear Dynamics. Dordrecht: Springer, v. 50, n. 4, p. 841-847, 2007.
dc.identifier.doi10.1007/s11071-007-9232-3
dc.identifier.issn0924-090X
dc.identifier.urihttp://hdl.handle.net/11449/31232
dc.identifier.wosWOS:000250582100010
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofNonlinear Dynamics
dc.relation.ispartofjcr4.339
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectnonideal vibrationspt
dc.subjectsommerfeld effectpt
dc.subjectanalytical solutionpt
dc.titleOn an approximate analytical solution to a nonlinear vibrating problem, excited by a nonideal motoren
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentMatemática - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas