Isolated resonance captures and resonance capture cascades leading to single- or multi-mode passive energy pumping in damped coupled oscillators

Vakakis, AF; McFarland, DM; Bergman, L; Manevitch, LI; Gendelman, O

dc.contributor.author	Vakakis, AF	en
dc.contributor.author	McFarland, DM	en
dc.contributor.author	Bergman, L	en
dc.contributor.author	Manevitch, LI	en
dc.contributor.author	Gendelman, O	en
dc.date.accessioned	2014-03-01T01:20:42Z
dc.date.available	2014-03-01T01:20:42Z
dc.date.issued	2004	en
dc.identifier.issn	1048-9002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16013
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computer simulation	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Equations of motion	en
dc.subject.other	Linear systems	en
dc.subject.other	Modal analysis	en
dc.subject.other	Oscillators (mechanical)	en
dc.subject.other	Resonance	en
dc.subject.other	Shock waves	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Damped coupled oscillators	en
dc.subject.other	Nonlinear energy sink	en
dc.subject.other	Nonlinear normal modes	en
dc.subject.other	Passive energy pumping	en
dc.subject.other	Resonance captures	en
dc.subject.other	Damping	en
dc.title	Isolated resonance captures and resonance capture cascades leading to single- or multi-mode passive energy pumping in damped coupled oscillators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.1687397	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.1687397	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	We examine passive energy pumping in a system of damped coupled oscillators. This is a one-way, passive and irreversible energy flow from a linear main system to a nonlinear attachment that acts, in essence, as a nonlinear energy sink (NES). Energy pumping is caused by 1:1 resonance captures on resonant manifolds of the damped systems. We show that the NES is capable of absorbing significant portions of the energies generated by transient, broadband external excitations. By performing a series of numerical simulations we confirm that the energy dependence of the nonlinear normal modes (NNMs) of the underlying undamped, unforced system determines, in essence, the resonance capture and energy pumping dynamics in the corresponding damped system. We present numerical simulations of single- and multi-mode energy pumping, that involve isolated resonance captures or resonance capture cascades, respectively. In addition, we discuss methodologies for enhancing the nonlinear energy pumping phenomenon by properly selecting the system parameters. The described technique of passively localizing and locally eliminating externally induced energy provides a new paradigm for vibration and shock isolation of mechanical oscillators. © 2004 by ASME.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Vibration and Acoustics, Transactions of the ASME	en
dc.identifier.doi	10.1115/1.1687397	en
dc.identifier.isi	ISI:000221401300009	en
dc.identifier.volume	126	en
dc.identifier.issue	2	en
dc.identifier.spage	235	en
dc.identifier.epage	244	en