Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 Resonance manifold and transient bridging orbits

Kerschen, G; Vakakis, AF; Lee, YS; McFarland, DM; Kowtko, JJ; Bergman, LA

dc.contributor.author	Kerschen, G	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Lee, YS	en
dc.contributor.author	McFarland, DM	en
dc.contributor.author	Kowtko, JJ	en
dc.contributor.author	Bergman, LA	en
dc.date.accessioned	2014-03-01T01:22:17Z
dc.date.available	2014-03-01T01:22:17Z
dc.date.issued	2005	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16515
dc.subject	Energy transfer	en
dc.subject	Essential nonlinearity	en
dc.subject	Nonlinear beat phenomenon	en
dc.subject	Nonlinear energy pumping	en
dc.subject	Resonance capture	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Coupled oscillators	en
dc.subject.other	Energy exchange	en
dc.subject.other	Essential nonlinearity	en
dc.subject.other	Nonlinear beat phenomenon	en
dc.subject.other	Nonlinear energy pumping	en
dc.subject.other	Resonance capture	en
dc.subject.other	Energy transfer	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Resonance	en
dc.subject.other	Transients	en
dc.subject.other	Oscillators (electronic)	en
dc.title	Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 Resonance manifold and transient bridging orbits	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11071-005-4475-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11071-005-4475-3	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The purpose of this study is to highlight and explain the vigorous energy transfers that may take place in a linear oscillator weakly coupled to an essentially nonlinear attachment, termed a nonlinear energy sink. Although these energy exchanges are encountered during the transient dynamics of the damped system, it is shown that the dynamics can be interpreted mainly in terms of the periodic orbits of the underlying Hamiltonian system. To this end, a frequency-energy plot gathering the periodic orbits of the system is constructed which demonstrates that, thanks to a 1:1 resonance capture, energy can be irreversibly and almost completely transferred from the linear oscillator to the nonlinear attachment. Furthermore, it is observed that this nonlinear energy pumping is triggered by the excitation of transient bridging orbits compatible with the nonlinear attachment being initially at rest, a common feature in most practical applications. A parametric study of the energy exchanges is also performed to understand the influence of the parameters of the nonlinear energy sink. Finally, the results of experimental measurements supporting the theoretical developments are discussed. © Springer 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1007/s11071-005-4475-3	en
dc.identifier.isi	ISI:000232844200004	en
dc.identifier.volume	42	en
dc.identifier.issue	3	en
dc.identifier.spage	283	en
dc.identifier.epage	303	en