Multi-scale energy exchanges between an elasto-plasticoscillator and a light nonsmooth system with externalpre-stress

Vibratory energy exchanges between twocoupled oscillators is studied: the main elasto-plasticoscillator is coupled to a nonlinear energy sink(NES)with nonsmooth potential. Both oscillators are underpre-stressing terms. Two different methods are implementedfor tracing system behaviours: (i) the timee...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-01, Vol.83 (1), p.109-135
Main Authors: Weiss, Mathieu, Chenia, Mahmoud, Ture Savadkoohi, Alireza, Lamarque, Claude-Henri, Vaurigaud, Bastien, Hammouda, Abdelaziz
Format: Article
Language:English
Subjects:
Engineering Sciences
Nonlinear Sciences
Online Access:Get full text
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Summary:Vibratory energy exchanges between twocoupled oscillators is studied: the main elasto-plasticoscillator is coupled to a nonlinear energy sink(NES)with nonsmooth potential. Both oscillators are underpre-stressing terms. Two different methods are implementedfor tracing system behaviours: (i) the timeevent-driven technique which builds exact solutions ofgoverning equations of the system phase by phase and(ii) the multi-scale method which traces system behavioursat different scales of time. It detects invariant ofthe system at fast timescale and equilibrium/singularpoints at slow timescales. The pre-stressing terms producea more complex shape for the invariant, whiledetected dynamics at slow timescale let us have controlat the behaviour of the system during its quasi-steadystateregime(s) which leads to have analytical designtools for tuning parameters of nonlinear energy sink according to design purposes (passive control and/orenergy harvesting).
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2314-8