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

Young S. Lee, Alexander F. Vakakis, Lawrence A. Bergman, D. Michael McFarland, Gaëtan Kerschen

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)693-711
Number of pages19
JournalAIAA journal
Issue number3
StatePublished - Mar 2007

ASJC Scopus subject areas

  • Aerospace Engineering


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