An overview on a nonideal system with three and a half degrees of freedom

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dc.contributor.authorGuilherme, Karen de Lolo
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.authorKurka, Paulo Roberta Gardel
dc.contributor.authorTsuchida, Masayoshi
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:21:42Z
dc.date.available2014-05-27T11:21:42Z
dc.date.issued2005-12-01
dc.description.abstractThe present paper studies a system comprised of two blocks connected by springs and dampers, and a DC motor with limited power supply fixed on a block, characterizing a non-ideal problem. This DC motor exciting the system causes interactions between the motor and the structure supporting it. Because of that, the non-ideal mathematical formulation of the problem has one and a half extra degree of freedom than the ideal one. A suitable choice of physical parameters leads to internal resonance conditions, that is, its natural frequencies are multiple of each other, by a known integer quantity. The purpose here is to study the dynamic behavior of the system using an analytical method based on perturbation techniques. The literature shows that the averaging method is the more flexible method concerning non-ideal problems. Summarizing, an steady state solution in amplitude and phase coordinates was obtained with averaging method showing the dependence of the structure amplitudes with the rotation frequency of the motor. Moreover, this solution shows that on of the amplitude coordinates has influence in the determination of the stationary rotation frequency. The analytical solution obtained shows the presence of the rotation frequency in expressions representing the oscillations of the structure, and the presence of amplitude coordinates in expressions describing the dynamic motion of the DC motor. These characteristics show the influence not only of the motor on structure but also of the response of the structure on dynamical behavior of the motor. Copyright © 2005 by ASME.en
dc.description.affiliationDepartment of Mechanical Design Mechanical Engineering Faculty University of Campinas, C.P.6122, CEP 13083-970, Campinas, SP
dc.description.affiliationDepartment of Statistics Applied Mathematics and Computer University of the Whole State of São Paulo, C.P. 178, CEP 13500-230, Rio Claro, SP
dc.format.extent1683-1690
dc.identifierhttp://dx.doi.org/10.1115/DETC2005-85426
dc.identifier.citationProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 1 B, p. 1683-1690.
dc.identifier.doi10.1115/DETC2005-85426
dc.identifier.scopus2-s2.0-33244465437
dc.identifier.urihttp://hdl.handle.net/11449/68553
dc.language.isoeng
dc.relation.ispartofProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectDegrees of freedom (mechanics)
dc.subjectMotors
dc.subjectNatural frequencies
dc.subjectPerturbation techniques
dc.subjectSprings (components)
dc.subjectPhysical parameters
dc.subjectRotation frequency
dc.subjectStructure amplitudes
dc.subjectNonlinear systems
dc.titleAn overview on a nonideal system with three and a half degrees of freedomen
dc.typeTrabalho apresentado em evento
dcterms.licensehttps://www.asme.org/shop/journals/administration/permissions
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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