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On non-ideal and non-linear portal frame dynamics analysis using Bogoliubov averaging method

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dc.contributor.authorPalacios, J. L.
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorBrasil, R. M L R F
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2014-05-27T11:20:31Z
dc.date.available2014-05-27T11:20:31Z
dc.date.issued2002-11-01
dc.description.abstractWe apply the Bogoliubov Averaging Method to the study of the vibrations of an elastic foundation, forced by a Non-ideal energy source. The considered model consists of a portal plane frame with quadratic nonlinearities, with internal resonance 1:2, supporting a direct current motor with limited power. The non-ideal excitation is in primary resonance in the order of one-half with the second mode frequency. The results of the averaging method, plotted in time evolution curve and phase diagrams are compared to those obtained by numerically integrating of the original differential equations. The presence of the saturation phenomenon is verified by analytical procedures.en
dc.description.affiliationUniversidade Estadual de Campinas Faculdade de Engenharia Mecanica Depto. de Projeto Mecanico - UNICAMP, C.P. 6122, 13083-970 Campinas, SP
dc.description.affiliationUniversidade Estadual Paulista Inst. de Geociencias Ciencias Exatas DEMAC-UNESP, C.P. 178, 13500-230 Rio Claro, SP
dc.description.affiliationUniversidade Estadual de Campinas Departamento de Projeto Mecanico, C.P. 6122, 13083-970 Campinas, SP
dc.description.affiliationUniversidade de São Paulo Escola Politécnica Depto. de Estrutura e Fundacoes-USP, C.P. 61546, 9524-970 São Paulo, SP
dc.description.affiliationUnespUniversidade Estadual Paulista Inst. de Geociencias Ciencias Exatas DEMAC-UNESP, C.P. 178, 13500-230 Rio Claro, SP
dc.format.extent257-265
dc.identifierhttp://dx.doi.org/10.1590/S0100-73862002000400002
dc.identifier.citationRevista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences, v. 24, n. 4, p. 257-265, 2002.
dc.identifier.doi10.1590/S0100-73862002000400002
dc.identifier.issn0100-7386
dc.identifier.scieloS0100-73862002000400002
dc.identifier.scopus2-s2.0-0036881925
dc.identifier.urihttp://hdl.handle.net/11449/67010
dc.language.isoeng
dc.relation.ispartofRevista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAveraging method
dc.subjectInternal resonance
dc.subjectNon-ideal system
dc.subjectSaturation phenomenon
dc.subjectDifferential equations
dc.subjectNumerical methods
dc.subjectResonance
dc.subjectVibrations (mechanical)
dc.subjectBogoliubov averaging method
dc.subjectNonlinear portal frame dynamics
dc.subjectDynamics
dc.titleOn non-ideal and non-linear portal frame dynamics analysis using Bogoliubov averaging methoden
dc.typeArtigo
dcterms.licensehttp://www.scielo.br/revistas/jbsms/paboutj.htm#Copyright
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas