Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive non-linear energy sinks

Lee, YS; Vakakis, AF; Bergman, LA; McFarland, DM

dc.contributor.author	Lee, YS	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Bergman, LA	en
dc.contributor.author	McFarland, DM	en
dc.date.accessioned	2014-03-01T01:25:14Z
dc.date.available	2014-03-01T01:25:14Z
dc.date.issued	2006	en
dc.identifier.issn	1545-2255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17604
dc.subject	LCO suppression	en
dc.subject	Limit cycle oscillation (LCO)	en
dc.subject	Non-linear energy sink (NES)	en
dc.subject	Numerical continuation	en
dc.subject	Resonance capture	en
dc.subject	Van der Pol oscillator	en
dc.subject.classification	Construction & Building Technology	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Instruments & Instrumentation	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Computational methods	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Energy transfer	en
dc.subject.other	Oscillators (mechanical)	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	LCO suppression	en
dc.subject.other	Limit cycle oscillation (LCO)	en
dc.subject.other	Non-linear energy sink (NES)	en
dc.subject.other	Numerical continuation	en
dc.subject.other	Resonance capture	en
dc.subject.other	Van der Pol oscillator	en
dc.subject.other	Oscillations	en
dc.title	Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive non-linear energy sinks	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/stc.143	en
heal.identifier.secondary	http://dx.doi.org/10.1002/stc.143	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	We study suppression of the limit cycle oscillations (LCOs) of a van der Pol (VDP) oscillator, utilizing two configurations of non-linear energy sink (NES)-grounded and ungrounded. Through computational parameter studies we verify LCO elimination for certain ranges of NES parameters. Then, we establish the slow-flow equations to perform numerical and analytical studies of the transient and steady-state dynamics of the configuration studied. The transient dynamics turns out to involve resonance captures, through which irreversible, passive energy transfer (called non-linear energy pumping) is achieved frorn the VDP oscillator to the NES. We also perform computational bifurcation analysis by means of numerical continuation to gain some understanding of the dynamics of generation and elimination of non-linear energy pumping. The steady-state dynamics shows that the system may possess either subcritical or supercritical LCOs, leading to different degrees of robustness of suppression. The results reported in this work support the applicability of the NES concept to suppression of instabilities in self-excited systems. Copyright (c) 2005 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	Structural Control and Health Monitoring	en
dc.identifier.doi	10.1002/stc.143	en
dc.identifier.isi	ISI:000235587600005	en
dc.identifier.volume	13	en
dc.identifier.issue	1	en
dc.identifier.spage	41	en
dc.identifier.epage	75	en