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Using nonlinear normal modes to analyze forced vibrations
Authors:K. V. Avramov
Affiliation:(1) A. N. Podgornyi Institute for Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, 2/10 Dm. Pozharsky St., Kharkiv, Ukraine, 610046
Abstract:The paper proposes a method to analyze forced vibrations in nonlinear systems. The procedure combines Rauscher’s method and Pierre–Shaw nonlinear modes. Results from an analysis of the forced vibrations of a shallow arch are presented as an example Translated from Prikladnaya Mekhanika, Vol. 44, No. 12, pp. 102–110, December 2008.
Keywords:nonlinear forced vibrations  discrete systems  Rauscher’  s method  Pierre–  Shaw nonlinear modes  shallow arch
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