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Dynamical interaction of an elastic system and a vibro-impact absorber

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  • Yuri V. Mikhlin
  • S. N. Reshetnikova

Abstract

The nonlinear two-degree-of-freedom system under consideration consists of the linear oscillator with a relatively big mass, which is an approximation of some continuous elastic system, and of the vibro-impact oscillator with a relatively small mass, which is an absorber of the linear system vibrations. Analysis of nonlinear normal vibration modes shows that a stable localized vibration mode, which provides the vibration regime appropriate for the elastic vibration absorption, exists in a large region of the system parameters. In this regime, amplitudes of vibrations of the linear system are small, simultaneously vibrations of the absorber are significant.

Suggested Citation

  • Yuri V. Mikhlin & S. N. Reshetnikova, 2006. "Dynamical interaction of an elastic system and a vibro-impact absorber," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-15, May.
    • Handle: RePEc:hin:jnlmpe:037980
    DOI: 10.1155/MPE/2006/37980
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