Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment

Georgiades, Fotios and Vakakis, Alexander, F. and Kerschen, Gaetan (2007) Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment. International Journal of Non-Linear Mechanics, 42 (5). pp. 773-788. ISSN 0020-7462

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Abstract

We examine non-linear resonant interactions between a damped and forced dispersive linear finite rod and a lightweight essentially nonlinear 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 system 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.

Keywords:Non-linear targeted energy pumping, Non-linear resonance, Flexible systems, Georgiadis
Subjects:H Engineering > H340 Acoustics and Vibration
H Engineering > H143 Structural Mechanics
H Engineering > H342 Vibration
H Engineering > H300 Mechanical Engineering
H Engineering > H140 Mechanics
H Engineering > H142 Solid Mechanics
H Engineering > H310 Dynamics
H Engineering > H210 Structural Engineering
Divisions:College of Science > School of Engineering
ID Code:9474
Deposited On:17 May 2013 09:26

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