Experimental investigation and analytical description of a vibro-impact NES coupled to a single-degree-of-freedom linear oscillator harmonically forced

Abstract : In this paper the dynamics of a system composed of a harmonically forced single-degree-of-freedom linear oscillator coupled to a Vibro-Impact Nonlinear Energy Sink (VINES) is experimentally investigated. The mass ratio between the VINES and the primary system is about 1%. Depending on the external force's 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 linear oscillator towards the VINES: process known in literature as passive Targeted Energy Transfer (TET). Furthermore, the problem is analytically studied by using the method of multiple scales. The obtaineSlow Invariant Manifold (SIM) shows the existence of a stable and of an unstable branch of solutions, as well as of an energy threshold (a saddle-node bifurcation) for the solutions to appear. Subsequently the fixed points of the problem are calculated. When a stable fixed point is reached, the system is naturally drawn to it and a CAR is established, whereas when no stable point is attained, the system exhibits a SMR regime. Finally a good correlation between the experimental and the analytical results is presented.
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Giuseppe Pennisi, Cyrille Stephan, Etienne Gourc, Guilhem Michon. Experimental investigation and analytical description of a vibro-impact NES coupled to a single-degree-of-freedom linear oscillator harmonically forced. Nonlinear Dynamics, Springer Verlag, 2017, 88 (3), pp.1769 - 1784. ⟨10.1007/s11071-017-3344-1⟩. ⟨hal-01829677⟩

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