Forced vibrations of strongly nonlinear systems with multiple scales lindstedt poincare method

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dc.contributor.authorPakdemirli M.
dc.contributor.authorKarahan M.M.F.
dc.contributor.authorBoyaci H.
dc.date.accessioned2024-07-22T08:20:34Z
dc.date.available2024-07-22T08:20:34Z
dc.date.issued2011
dc.description.abstractForced vibrations of duffing equation with damping is considered. Recently developed Multiple Scales Lindstedt-Poincare (MSLP) technique for free vibrations is applied for the first time to the forced vibration problem in search of approximate solutions. For the case of weak and strong nonlinearities, approximate solutions of the new method are contrasted with the usual Multiple Scales (MS) method and numerical simulations. For weakly nonlinear systems, frequency response curves of both perturbation methods and numerical solutions are in good agreement. For strongly nonlinear systems however, results of MS deviate much from the MSLP method and numerical simulations, the latter two being in good agreement. Keywords- Perturbation Methods, Lindstedt Poincare method, Multiple. © Association for Scientific Research.
dc.identifier.DOI-ID10.3390/mca16040879
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18217
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectFrequency response
dc.subjectNonlinear systems
dc.subjectNumerical models
dc.subjectPerturbation techniques
dc.subjectVibration analysis
dc.subjectForced vibration
dc.subjectLindstedt-Poincare method
dc.subjectMultiple scales methods
dc.subjectNumerical solution
dc.subjectPerturbation method
dc.subjectStrongly nonlinear system
dc.subjectNumerical methods
dc.titleForced vibrations of strongly nonlinear systems with multiple scales lindstedt poincare method
dc.typeArticle

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