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Transient and steady-state responses of an asymmetric nonlinear oscillator

dc.creatorALEX ELIAS ZUÑIGA;19150
dc.creatorOSCAR MARTINEZ ROMERO;278430
dc.creatorALEX ELIAS ZUÑIGA;19150es
dc.creatorOSCAR MARTINEZ ROMERO;278430es
dc.date2013
dc.date.accessioned2018-10-18T20:34:53Z
dc.date.available2018-10-18T20:34:53Z
dc.identifier.issn1024123X
dc.identifier.doi10.1155/2013/574696
dc.identifier.urihttp://hdl.handle.net/11285/630385
dc.descriptionWe study the dynamical response of an asymmetric forced, damped Helmholtz-Duffing oscillator by using Jacobi elliptic functions, the method of elliptic balance, and Fourier series. By assuming that the modulus of the elliptic functions is slowly varying as a function of time and by considering the primary resonance response of the Helmholtz-Duffing oscillator, we derived an approximate solution that provides the time-dependent amplitude-frequency response curves. The accuracy of the derived approximate solution is evaluated by studying the evolution of the response curves of an asymmetric Duffing oscillator that describes the motion of a damped, forced system supported symmetrically by simple shear springs on a smooth inclined bearing surface. We also use the percentage overshoot value to study the influence of damping and nonlinearity on the transient and steady-state oscillatory amplitudes. © 2013 Alex Elías-Zúñiga and Oscar Martínez-Romero.
dc.languageeng
dc.relationhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84879292476&doi=10.1155%2f2013%2f574696&partnerID=40&md5=034c3fb3608bab13896c32ad4979d976
dc.relationInvestigadores
dc.relationEstudiantes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.sourceMathematical Problems in Engineering
dc.subjectAmplitude frequency response
dc.subjectApproximate solution
dc.subjectDuffing oscillator
dc.subjectDynamical response
dc.subjectJacobi Elliptic function
dc.subjectNon-linear oscillators
dc.subjectPrimary resonance response
dc.subjectSteady-state response
dc.subjectFourier series
dc.subjectFrequency response
dc.subjectOscillators (mechanical)
dc.subject.classification7 INGENIERÍA Y TECNOLOGÍA
dc.titleTransient and steady-state responses of an asymmetric nonlinear oscillator
dc.typeArtículo
dc.identifier.volume2013
refterms.dateFOA2018-10-18T20:34:53Z


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