Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results

Jiang, X; Michael Mcfarland, D; Bergman, LA; Vakakis, AF

dc.contributor.author	Jiang, X	en
dc.contributor.author	Michael Mcfarland, D	en
dc.contributor.author	Bergman, LA	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T01:19:34Z
dc.date.available	2014-03-01T01:19:34Z
dc.date.issued	2003	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15578
dc.subject	Nonlinear localization	en
dc.subject	Steady state motions	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Energy absorption	en
dc.subject.other	Frequencies	en
dc.subject.other	Hysteresis	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Nonlinear energy sinks	en
dc.subject.other	Oscillators (electronic)	en
dc.title	Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1025599211712	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1025599211712	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	We study theoretically and experimentally the effect that a nonlinear energy sink (NES) has on the steady state dynamics of a weakly coupled system. The NES possesses essentially nonlinear (nonlinearizable) stiffness nonlinearity of the third degree. We find that, in contrast to the classical linear vibration absorber, the NES is capable of absorbing steady state vibration energy from the linear oscillator over a relatively broad frequency range. This results in localization of the steady state vibration in the NES, away from the directly forced subsystem. For a forward frequency sweep the localized branch of steady state motions is suddenly eliminated by a jump to a linearized low-amplitude motion, whereas, for a backward frequency sweep a reverse jump occurs. The difference in the frequencies of the two jumps introduces a nonlinear hysteresis loop. This work extends to the steady state case of earlier transient passive energy pumping results. The notion of passively transferring vibration energy to an a priori determined NES, weakly attached to a main structure, is novel. The use of nonlinear energy sinks for passively absorbing energy from a linear main structure can form the basis of relatively simple and modular vibration and shock isolation designs of mechanical systems.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1023/A:1025599211712	en
dc.identifier.isi	ISI:000185124700006	en
dc.identifier.volume	33	en
dc.identifier.issue	1	en
dc.identifier.spage	87	en
dc.identifier.epage	102	en