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Analysis of forced vibrations by nonlinear modes

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Abstract

The combination of Rausher method and nonlinear modes is suggested to analyze the forced vibrations of nonlinear discrete systems. The basis of the Rausher method is iterative procedure. In this case, the analysis of a nonautonomous dynamical system reduces to the multiple solutions of the autonomous ones. As an example, the forced vibrations of shallow arch close to equilibrium position are considered in this paper. The results of the analysis are shown on the frequency response.

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Authors and Affiliations

  1. Department of Nonstationary Vibrations, A.N. Podgornogo Institute for Problems of Engineering Mechanical NAS of Ukraine, Dm. Pogarski St. 2/10, Kharkov, 61046, Ukraine

    K. V. Avramov

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

    K. V. Avramov

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  1. K. V. Avramov
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Correspondence to K. V. Avramov.

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Avramov, K.V. Analysis of forced vibrations by nonlinear modes. Nonlinear Dyn 53, 117–127 (2008). https://doi.org/10.1007/s11071-007-9300-8

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  • DOI: https://doi.org/10.1007/s11071-007-9300-8

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