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Nonlinear modes of piecewise linear systems under the action of periodic excitation

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Abstract

The approach for calculation of nonlinear normal modes (NNM) of essential nonlinear piecewise linear systems’ forced vibrations is suggested. The combination of the Shaw–Pierre NNMs and the Rauscher method is the basis of this approach. Using this approach, the nonautonomous piecewise linear system is transformed into autonomous one. The Shaw–Pierre NNMs are calculated for this autonomous system. Torsional vibrations of internal combustion engine power plant are analyzed using these NNMs.

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Authors and Affiliations

  1. Department of Gas and Fluid Mechanics, National Technical University ”KhPI“, Frunze St. 21, Kharkiv, 61002, Ukraine

    B. Uspensky & K. Avramov

  2. Department of Vibrations, Podgorny Institute for Mechanical Engineering, National Academy of Science of Ukraine, 2/10 Dm. Pozharskogo St., Kharkiv, 61046, Ukraine

    K. Avramov

Authors
  1. B. Uspensky
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  2. K. Avramov
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Correspondence to K. Avramov.

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Uspensky, B., Avramov, K. Nonlinear modes of piecewise linear systems under the action of periodic excitation. Nonlinear Dyn 76, 1151–1156 (2014). https://doi.org/10.1007/s11071-013-1198-8

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  • DOI: https://doi.org/10.1007/s11071-013-1198-8

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