Inducing passive nonlinear energy sinks in vibrating systems

Vakakis, AF

dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T01:16:38Z
dc.date.available	2014-03-01T01:16:38Z
dc.date.issued	2001	en
dc.identifier.issn	1048-9002	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14138
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0000721176&partnerID=40&md5=5a8a5597d41753712ff0daa86094498a	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0000721176&partnerID=40&md5=5a8a5597d41753712ff0daa86094498a	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	WAVE-PROPAGATION	en
dc.subject.other	STRUCTURAL IRREGULARITY	en
dc.subject.other	FLEXIBLE STRUCTURES	en
dc.subject.other	CONFINEMENT	en
dc.subject.other	FEEDBACK	en
dc.subject.other	LOCALIZATION	en
dc.subject.other	OSCILLATORS	en
dc.subject.other	DYNAMICS	en
dc.subject.other	MODES	en
dc.subject.other	BEAM	en
dc.title	Inducing passive nonlinear energy sinks in vibrating systems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	We study the inducement of passive nonlinear sinks in linear vibrating systems. These are substructures that absorb vibrational energy in a one-way, irreversible fashion. The systems considered are composed of strongly coupled, grounded damped linear oscillators with a strongly nonlinear attachment at the end. Applying a complex averaging technique we derive a set of modulation equations that is directly amenable to physical interpretation, and provides insight into the energy pumping phenomenon. For the case of a two DOF system we show that nonlinear energy pumping occurs when a certain frequency of envelope modulation crosses through zero; then the dynamics of the envelope modulation of the motion resemble the dynamics of a forced rigid body. For the case of an impulsively loaded multi-DOF chain with a nonlinear attachment at the end, we show that after some initial transients the response of the nonlinear attachment sets to a motion dominated by a ""fast"" frequency identical to the lower bound of the propagation zone of the linear chain. This feature reduces the study of energy pumping in the chain to a two DOF equivalent problem. The applications of the energy pumping phenomenon to practical engineering problems are discussed.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Vibration and Acoustics, Transactions of the ASME	en
dc.identifier.isi	ISI:000170090400006	en
dc.identifier.volume	123	en
dc.identifier.issue	3	en
dc.identifier.spage	324	en
dc.identifier.epage	332	en