Suppression of limit cycle oscillations in a van der pol oscillator by means of a passive nonlinear energy sink

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	2014-03-01T02:50:12Z
dc.date.available	2014-03-01T02:50:12Z
dc.date.issued	2005	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34958
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-33244490356&partnerID=40&md5=7ba636959aee8ae1336659ed18963b79	en
dc.subject.other	Nonlinear energy pumping	en
dc.subject.other	Nonlinear energy sink (NES)	en
dc.subject.other	Self-excited systems	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Oscillations	en
dc.subject.other	Resonance	en
dc.subject.other	Vibration control	en
dc.subject.other	Oscillators (mechanical)	en
dc.title	Suppression of limit cycle oscillations in a van der pol oscillator by means of a passive nonlinear energy sink	en
heal.type	conferenceItem	en
heal.publicationDate	2005	en
heal.abstract	We present a study of passive but efficient vibration control, wherein a so-called nonlinear energy sink (NES) completely eliminates the limit cycle oscillations (LCOs) of a van der Pol oscillator. We first perform a parameter study in order to get overall understanding of responses with respect to parameters. Then, we establish a slow flow dynamics model to perform analytical study of the suppression mechanism which corresponds to classical nonlinear energy pumping, i.e., passive, broadband, and targeted energy transfer through 1:1 resonance capture. Utilizing the method of numerical continuation of equilibrium, we also study the bifurcation of the steady state solutions. It turns out that the system may have either subcritical or supercritical LCOs, and that for some parameter domain the LCOs are completely eliminated. This suggests applicability of the NES to vibration control in self-excited systems. Copyright © 2005 by ASME.	en
heal.journalName	Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005	en
dc.identifier.volume	1 B	en
dc.identifier.spage	1483	en
dc.identifier.epage	1489	en