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Vibro-Impact NES: A Correlation Between Experimental Investigation and Analytical Description

  • Giuseppe PennisiEmail author
  • Cyrille Stéphan
  • Guilhem Michon
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

In this work the dynamics of a Vibro-Impact Nonlinear Energy Sink (VI-NES) is experimentally investigated via a harmonically forced single-degree-of- freedom linear oscillator (LO) to which a VI-NES is attached. Depending on external force amplitude and frequency, either a Strongly Modulated Response (SMR) or a constant amplitude response (CAR) is observed. In both cases an irreversible transfer of energy occurs from the LO towards the VI-NES: process known as passive Targeted Energy Transfer(TET). Furthermore, the problem is analytically studied by using the multiple scales method. For the fast and the slow time scales the Slow Invariant Manifold (SIM) is obtained. The 0-order SIM shows the existence of a stable and an unstable branch of solution, and of an energy threshold (a saddle-node bifurcation) for the solutions to appear. Subsequently the 1-order SIM is calculated to find the fixed points of the problem. When a stable fixed point exists, the system is naturally drawn to it and a CAR is reached. Otherwise a SMR state is established and no stable point is attained. Finally a good agreement between experimental and analytical results is shown.

Keywords

Nonlinear dynamics Vibro-Impact Vibrations absorber Experimental Analytical 

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Copyright information

© The Society of Experimental Mechanics, Inc. 2016

Authors and Affiliations

  • Giuseppe Pennisi
    • 1
    Email author
  • Cyrille Stéphan
    • 2
  • Guilhem Michon
    • 3
  1. 1.ONERA, The French Aerospace LabUniversité de ToulouseChâtillonFrance
  2. 2.ONERA, The French Aerospace LabChâtillonFrance
  3. 3.Université de Toulouse, ICAToulouseFrance

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