Free and Forced Vibrations of the Strongly Nonlinear Cubic-Quintic Duffing Oscillators

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dc.contributor.authorFatih Karahan M.M.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:11:23Z
dc.date.available2024-07-22T08:11:23Z
dc.date.issued2017
dc.description.abstractStrongly nonlinear cubic-quintic Duffing oscillatoris considered. Approximate solutions are derived using the multiple scales Lindstedt Poincare method (MSLP), a relatively new method developed for strongly nonlinear oscillators. The free undamped oscillator is considered first. Approximate analytical solutions of the MSLP are contrasted with the classical multiple scales (MS) method and numerical simulations. It is found that contrary to the classical MS method, the MSLP can provide acceptable solutions for the case of strong nonlinearities. Next, the forced and damped case is treated. Frequency response curves of both the MS and MSLP methods are obtained and contrasted with the numerical solutions. The MSLP method and numerical simulations are in good agreement while there are discrepancies between the MS and numerical solutions. © 2017 Walter de Gruyter GmbH, Berlin/Boston.
dc.identifier.DOI-ID10.1515/zna-2016-0263
dc.identifier.issn09320784
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15642
dc.language.isoEnglish
dc.publisherWalter de Gruyter GmbH
dc.titleFree and Forced Vibrations of the Strongly Nonlinear Cubic-Quintic Duffing Oscillators
dc.typeArticle

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