Broadband energy exchanges between a dissipative elastic rod and a multi-degree-of-freedom dissipative essentially non-linear attachment

Tsakirtzis, S; Vakakis, AF; Panagopoulos, P

dc.contributor.author	Tsakirtzis, S	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Panagopoulos, P	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/123456789/17861
dc.subject	Broadband energy exchanges	en
dc.subject	Dissipative flexible systems	en
dc.subject	Non-linear resonance	en
dc.subject.classification	Mechanics	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Energy dissipation	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Resonance	en
dc.subject.other	Wavelet transforms	en
dc.subject.other	Broadband energy exchanges	en
dc.subject.other	Dissipative flexible systems	en
dc.subject.other	Hilbert-Huang transform (HHT)	en
dc.subject.other	Non-linear resonance	en
dc.subject.other	Shock energy	en
dc.subject.other	Bars (metal)	en
dc.title	Broadband energy exchanges between a dissipative elastic rod and a multi-degree-of-freedom dissipative essentially non-linear attachment	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2006.11.013	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2006.11.013	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We analyze complex, multi-frequency, non-linear modal interactions in the damped dynamics of a viscously damped dispersive finite rod coupled to a multi-degree-of-freedom essentially non-linear attachment. We perform a parametric study to show that the attachment can be an effective broadband energy absorber and dissipater of shock energy from the rod. It is shown that strong targeted energy transfer from the rod to the attachment occurs when there is strong stiffness asymmetry in the attachment. For weak viscous dissipation, a clear understanding of dynamical transitions in the integrated rod-non-linear attachment system can be gained by wavelet transforming the time series and superimposing the resulting wavelet spectra in the frequency-energy plot (FEP) of the periodic orbits of the underlying Hamiltonian system. Two distinct NES configurations are analyzed in detail, and their damped responses are analyzed by the Hilbert-Huang transform (HHT). We show that the HHT is capable of analyzing even complex non-linear damped transitions, by providing the dominant frequency components (or equivalently, time scales) at which the non-linear phenomena take place, and clarifying the series of non-linear resonance captures between the rod and attachment dynamics that are responsible for the broadband energy exchanges in this system. (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.2006.11.013	en
dc.identifier.isi	ISI:000246644400005	en
dc.identifier.volume	42	en
dc.identifier.issue	1	en
dc.identifier.spage	36	en
dc.identifier.epage	57	en