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Dynamics of two vibro-impact nonlinear energy sinks in parallel under periodic and transient excitations
Institution:1. Université de Toulouse, Institut Clément Ader (ICA), CNRS-INSA-ISAE-Mines Albi-UPS, 3 rue Caroline Aigle, 31400, Toulouse, France;2. Space Structures and Systems Laboratory, Department of Aerospace and Mechanical Engineering, University of Liege, 1 Chemin des Chevreuils (B52/3), B-4000 Liege, Belgium;1. Faculty of Engineering and Architecture, University of Enna Kore, Cittadella Universitaria, Enna, Italy;2. School of Civil and Building Engineering, Loughborough University, Loughborough, Leicestershire, UK;1. Aerospace and Mechanical Engineering Department, University of Arizona, Tucson, AZ 85721, United States;2. Laboratoire de Mécanique et d''Acoustique, CNRS, Marseille 13453, France
Abstract:A linear oscillator (LO) coupled with two vibro-impact (VI) nonlinear energy sinks (NES) in parallel is studied under periodic and transient excitations, respectively. The objective is to study response regimes and to compare their efficiency of vibration control. Through the analytical study with multiple scales method, two slow invariant manifolds (SIM) are obtained for two VI NES, and different SIM that result from different clearances analytically supports the principle of separate activation. In addition, fixed points are calculated and their positions are applied to judge response regimes. Transient responses and modulated responses can be further explained. By this way, all analysis is around the most efficient response regime. Then, numerical results demonstrate two typical responses and validate the effectiveness of analytical prediction. Finally, basic response regimes are experimentally observed and analyzed, and they can well explain the complicated variation of responses and their corresponding efficiency, not only for periodic excitations with a fixed frequency or a range of frequency, but also for transient excitation. Generally, vibration control is more effective when VI NES is activated with two impacts per cycle, whatever the types of excitation and the combinations of clearances. This observation is also well reflected by the separate activation of two VI NES with two different clearances, but at different levels of displacement amplitude of LO.
Keywords:Vibro-impact  Targeted energy transfer  Nonlinear energy sink  Impact damper
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