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Application of nonsmooth transformations to analyze a vibroimpact duffing system
Authors:K V Avramov
Institution:(1) A. N. Podgornyi Institute for Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, Ukraine, 61046
Abstract:The forced vibrations of an impact Duffing oscillator with one degree of freedom are studied using Zhuravlev's nonsmooth transformation and the multiple-scales method. Detailed consideration is given to the forced vibrations in the domain of resonance family. The stability and bifurcations of periodic vibrations are analyzed Translated from Prikladnaya Mekhanika, Vol. 44, No. 10, pp. 114–121, October 2008.
Keywords:forced vibrations  impact Duffing oscillator with one degree of freedom  nonsmooth transformation  multiple-scales method
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