Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 1:Theory

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

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.contributor.author	Kerschen, G	en
dc.date.accessioned	2014-03-01T01:27:21Z
dc.date.available	2014-03-01T01:27:21Z
dc.date.issued	2007	en
dc.identifier.issn	0001-1452	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18411
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	Aeroelastic instability	en
dc.subject.other	Complexification	en
dc.subject.other	Nonlinear energy sink (NES)	en
dc.subject.other	Resonant interactions	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Energy transfer	en
dc.subject.other	Numerical methods	en
dc.subject.other	System stability	en
dc.subject.other	Wings	en
dc.subject.other	Aerodynamics	en
dc.title	Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 1:Theory	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/1.24062	en
heal.identifier.secondary	http://dx.doi.org/10.2514/1.24062	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We study passive and nonlinear targeted energy transfers induced by resonant interactions between a single-degree-of-freedom nonlinear energy sink (NES) and a 2-DOF in-flow rigid wing model. We show that it is feasible to partially or even completely suppress aeroelastic instability by passively transferring vibration energy from the wing to the NES in a one-way irreversible fashion. Moreover, this instability suppression is performed by partially or completely eliminating its triggering mechanism. Numerical parametric studies identify three main mechanisms for suppressing aeroelastic instability: recurring burstout and suppression, intermediate suppression, and complete elimination. We investigate these mechanisms both numerically by the Hilbert-Huang transform and analytically by a complexification-averaging technique. Each suppression mechanism involves strong 1:1 resonance capture during which the NES absorbs and dissipates a significant portion of energy fed from the flow to the wing. Failure of suppression is associated with restoring the underlying triggering mechanism of instability, which is a series of superharmonic resonance captures followed by escapes from resonance. Finally, using a numerical continuation technique, we perform a bifurcation analysis to examine sensitive dependence on initial conditions and thus robustness of instability suppression. Copyright © 2006 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.	en
heal.publisher	AMER INST AERONAUT ASTRONAUT	en
heal.journalName	AIAA Journal	en
dc.identifier.doi	10.2514/1.24062	en
dc.identifier.isi	ISI:000244827300019	en
dc.identifier.volume	45	en
dc.identifier.issue	3	en
dc.identifier.spage	693	en
dc.identifier.epage	711	en