Passive nonlinear energy pumping in coupled oscillators: Steady state results

Jiang, X; McFarland, DM; Bergman, LA; Vakakis, AF

dc.contributor.author	Jiang, X	en
dc.contributor.author	McFarland, DM	en
dc.contributor.author	Bergman, LA	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T02:49:34Z
dc.date.available	2014-03-01T02:49:34Z
dc.date.issued	2003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34610
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-1842633345&partnerID=40&md5=27453c5ba98aab09588d9cc137b2c78c	en
dc.subject.other	Mechanical systems	en
dc.subject.other	Nonlinear energy sink (NES)	en
dc.subject.other	Computer simulation	en
dc.subject.other	Differential equations	en
dc.subject.other	Energy transfer	en
dc.subject.other	Frequencies	en
dc.subject.other	Harmonic analysis	en
dc.subject.other	Resonance	en
dc.subject.other	Stiffness	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Oscillators (mechanical)	en
dc.title	Passive nonlinear energy pumping in coupled oscillators: Steady state results	en
heal.type	conferenceItem	en
heal.publicationDate	2003	en
heal.abstract	We study theoretically and numerically 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 essentially 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.journalName	Proceedings of the ASME Design Engineering Technical Conference	en
dc.identifier.volume	5 C	en
dc.identifier.spage	1889	en
dc.identifier.epage	1895	en