Using nonlinear normal modes to analyze forced vibrations |
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Authors: | K. V. Avramov |
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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 |
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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. |
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Keywords: | nonlinear forced vibrations discrete systems Rauscher’ s method Pierre– Shaw nonlinear modes shallow arch |
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