Irreversible passive energy transfer in coupled oscillators with essential nonlinearity

Kerschen, G; Lee, YS; Vakakis, AF; Mcfarland, DM; Bergman, LA

dc.contributor.author	Kerschen, G	en
dc.contributor.author	Lee, YS	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Mcfarland, DM	en
dc.contributor.author	Bergman, LA	en
dc.date.accessioned	2014-03-01T01:24:32Z
dc.date.available	2014-03-01T01:24:32Z
dc.date.issued	2006	en
dc.identifier.issn	0036-1399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17318
dc.subject	Energy pumping	en
dc.subject	Essential nonlinearity	en
dc.subject	Nonlinear energy sinks	en
dc.subject	Passive energy transfer	en
dc.subject	Resonance capture	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Energy pumping	en
dc.subject.other	Essential nonlinearity	en
dc.subject.other	Nonlinear energy sinks	en
dc.subject.other	Passive energy transfer	en
dc.subject.other	Resonance capture	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Control nonlinearities	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Oscillators (electronic)	en
dc.subject.other	Topology	en
dc.subject.other	Energy transfer	en
dc.title	Irreversible passive energy transfer in coupled oscillators with essential nonlinearity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/040613706	en
heal.identifier.secondary	http://dx.doi.org/10.1137/040613706	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We study numerically and analytically the dynamics of passive energy transfer from a damped linear oscillator to an essentially nonlinear end attachment. This transfer is caused by either fundamental or subharmonic resonance capture, and in some cases is initiated by nonlinear beat phenomena. It is shown that, due to the essential nonlinearity, the end attachment is capable of passively absorbing broadband energy at both high and low frequencies, acting, in essence, as a passive broadband boundary controller. Complicated transitions in the damped dynamics can be interpreted based on the topological structure and bifurcations of the periodic solutions of the underlying undamped system. Moreover, complex resonance capture cascades are numerically encountered when we increase the number of degrees of freedom of the system. The ungrounded essentially nonlinear end attachment discussed in this work can find application in numerous practical settings, including vibration and shock isolation of structures, seismic isolation, flutter suppression, and packaging. © 2006 Society for Industrial and Applied Mathematics.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM Journal on Applied Mathematics	en
dc.identifier.doi	10.1137/040613706	en
dc.identifier.isi	ISI:000235215800015	en
dc.identifier.volume	66	en
dc.identifier.issue	2	en
dc.identifier.spage	648	en
dc.identifier.epage	679	en