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

Georgiades, F; Vakakis, AF; Kerschen, G

dc.contributor.author	Georgiades, F	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Kerschen, G	en
dc.date.accessioned	2014-03-01T01:25:59Z
dc.date.available	2014-03-01T01:25:59Z
dc.date.issued	2007	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17862
dc.subject	Flexible systems	en
dc.subject	Non-linear resonance	en
dc.subject	Non-linear targeted energy pumping	en
dc.subject.classification	Mechanics	en
dc.subject.other	Energy transfer	en
dc.subject.other	Finite element method	en
dc.subject.other	Hilbert spaces	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Signal processing	en
dc.subject.other	Time series analysis	en
dc.subject.other	Wavelet transforms	en
dc.subject.other	Flexible systems	en
dc.subject.other	Nonlinear energy sink (NES)	en
dc.subject.other	Nonlinear resonance	en
dc.subject.other	Nonlinear targeted energy pumping	en
dc.subject.other	Light weight structures	en
dc.title	Broadband passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2007.03.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2007.03.005	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	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.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2007.03.005	en
dc.identifier.isi	ISI:000248634700008	en
dc.identifier.volume	42	en
dc.identifier.issue	5	en
dc.identifier.spage	773	en
dc.identifier.epage	788	en