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Equivalent mathematical representation of second-order damped, driven nonlinear oscillators

dc.creatorALEX ELIAS ZUÑIGA;19150
dc.creatorOSCAR MARTINEZ ROMERO;278430
dc.creatorALEX ELIAS ZUÑIGA;19150es
dc.creatorOSCAR MARTINEZ ROMERO;278430es
dc.date2013
dc.date.accessioned2018-10-18T20:34:52Z
dc.date.available2018-10-18T20:34:52Z
dc.identifier.issn1024123X
dc.identifier.doi10.1155/2013/670845
dc.identifier.urihttp://hdl.handle.net/11285/630382
dc.descriptionThe aim of this paper focuses on applying a nonlinearization method to transform forced, damped nonlinear equations of motion of oscillatory systems into the well-known forced, damped Duffing equation. The accuracy obtained from the derived equivalent equations of motion is evaluated by studying the amplitude-time, the phase portraits, and the continuous wavelet transform diagrams of the cubic-quintic Duffing equation, the generalized pendulum equation, the power-form elastic term oscillator, the Duffing equation with linear and cubic damped terms, and the pendulum equation with a cubic damped term. © 2013 Alex Elías-Zúñiga and Oscar Martínez-Romero.
dc.languageeng
dc.relationhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84890033294&doi=10.1155%2f2013%2f670845&partnerID=40&md5=24884f7f9c38476663af190311a73331
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.subjectContinuous Wavelet Transform
dc.subjectCubic-quintic duffing equations
dc.subjectDamped Duffing equations
dc.subjectDriven nonlinear oscillators
dc.subjectDuffing equations
dc.subjectMathematical representations
dc.subjectOscillatory system
dc.subjectPendulum equations
dc.subjectEquations of motion
dc.subjectPendulums
dc.subject.classification7 INGENIERÍA Y TECNOLOGÍA
dc.titleEquivalent mathematical representation of second-order damped, driven nonlinear oscillators
dc.typeArtículo
dc.identifier.volume2013
refterms.dateFOA2018-10-18T20:34:52Z


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