Nonlinear modes of parametric vibrations and their applications to beams dynamics

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Abstract

An iterative loop combining nonlinear modes and the Rauscher method is suggested for analyzing finite degree-of-freedom nonlinear mechanical systems with parametric excitation. This method is applied to an analysis of the parametric vibration of beams. © 2008 Elsevier Ltd. All rights reserved.

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Avramov, K. V. (2009). Nonlinear modes of parametric vibrations and their applications to beams dynamics. Journal of Sound and Vibration, 322(3), 476–489. https://doi.org/10.1016/j.jsv.2008.07.013

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