non-linear targeted energy pumping; non-linear resonance; flexible systems
Abstract :
[en] We examine non-linear resonant interactions between a damped and forced dispersive linear finite rod and a lightweight essentially non-linear end attachment. We show that these interactions may lead to passive, broadband and on-way targeted energy flow from the rod to the attachment, which acts, in essence, as non-linear energy sink (NES). The transient dynamics of this s stem subject to shock excitation is examined numerically using a finite element (FE) formulation. Parametric studies are performed to examine the regions in parameter space where optimal (maximal) efficiency of targeted energy pumping from the rod to the NES occurs. Signal processing of the transient time series is then performed. employing energy transfer and/or exchange measures, wavelet transforms, empirical mode decomposition and Hilbert transforms. By computing intrinsic mode functions (IMFs) of the transient responses of the NES and the edge of the rod, and examining resonance captures that occur between them, we are able to identify the non-linear resonance mechanisms that govern the (strong or weak) one-way energy transfers from the rod to the NES. The present study demonstrates the efficacy of using local lightweight non-linear attachments (NESs) as passive broadband energy absorbers of unwanted disturbances in continuous elastic structures, and investigates the dynamical mechanisms that govern the resonance interactions influencing this passive non-linear energy absorption. (c) 2007 Elsevier Ltd. All rights reserved.
Disciplines :
Physics Mechanical engineering
Author, co-author :
Georgiades, Fotios; National Technical University of Athens, > Mechanics Division, Faculty of Applied Mathematical and Physical Sciences,
Vakakis, Alexander F.; National Technical University of Athens, > Mechanics Division, Faculty of Applied Mathematical and Physical Sciences
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment
Publication date :
June 2007
Journal title :
International Journal of Non-Linear Mechanics
ISSN :
0020-7462
eISSN :
1878-5638
Publisher :
Pergamon-Elsevier Science Ltd, Oxford, United Kingdom
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