New Approximate Solutions for the Strongly Nonlinear Cubic-Quintic Duffing Oscillators

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dc.contributor.authorKarahan, MMF
dc.contributor.authorPakdemirli, M
dc.date.accessioned2024-07-18T11:46:32Z
dc.date.available2024-07-18T11:46:32Z
dc.description.abstractStrongly nonlinear cubic-quintic Duffing oscillator is 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.
dc.identifier.issn0094-243X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2800
dc.language.isoEnglish
dc.publisherAMER INST PHYSICS
dc.titleNew Approximate Solutions for the Strongly Nonlinear Cubic-Quintic Duffing Oscillators
dc.typeProceedings Paper

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