Abstract
Vibratory energy exchanges between two coupled oscillators is studied: the main elasto-plastic oscillator is coupled to a nonlinear energy sink(NES) with nonsmooth potential. Both oscillators are under pre-stressing terms. Two different methods are implemented for tracing system behaviours: (i) the time-event-driven technique which builds exact solutions of governing equations of the system phase by phase and (ii) the multi-scale method which traces system behaviours at different scales of time. It detects invariant of the system at fast timescale and equilibrium/singular points at slow timescales. The pre-stressing terms produce a more complex shape for the invariant, while detected dynamics at slow timescale let us have control at the behaviour of the system during its quasi-steady-state regime(s) which leads to have analytical design tools for tuning parameters of nonlinear energy sink according to design purposes (passive control and/or energy harvesting).
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Acknowledgments
This work is supported by: (i) The “Ministère de l’Écologie, du Développement Durable et de l’Énergie” and (ii) LABEX CELYA (ANR-10-LABX-0060) of the “Université de Lyon” within the programme “Investissement d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR).
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M. Weiss and M. Chenia are joint first authors.
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Weiss, M., Chenia, M., Ture Savadkoohi, A. et al. Multi-scale energy exchanges between an elasto-plastic oscillator and a light nonsmooth system with external pre-stress. Nonlinear Dyn 83, 109–135 (2016). https://doi.org/10.1007/s11071-015-2314-8
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DOI: https://doi.org/10.1007/s11071-015-2314-8