Asymptotic Analysis of Passive Nonlinear Suppression of Aeroelastic Instabilities of a Rigid Wing in Subsonic Flow

Asymptotic Analysis of Passive Nonlinear Suppression of Aeroelastic Instabilities of a Rigid Wing in Subsonic Flow
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DOI：
10.1137/090754819
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发表时间：
2010-01
期刊：
SIAM J. Appl. Math.
影响因子：
--
通讯作者：
O. Gendelman;A. Vakakis;L. Bergman;D. McFarland
O. Gendelman;A. Vakakis;L. Bergman;D. McFarland
中科院分区：
其他
文献类型：
--
作者：
O. Gendelman;A. Vakakis;L. Bergman;D. McFarland

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We study theoretically passive suppression of aeroelastic instabilities of a rigid wing in subsonic flow with an essentially nonlinear attachment. The analysis is performed by constructing a reduced-order model, applying complexification/averaging and slow-fast partition of the dynamics. The resulting slow-flow dynamics is then analyzed by singular perturbation. We fully recover computational and experimental results for this system reported in previous works and prove the existence of trivial/nontrivial stable attractors as well as relaxation oscillations in the slow-flow dynamics. These, in turn, correspond to complete/partial instability suppression, and (periodic or quasi-periodic) strongly modulated responses in the full-order dynamics. Moreover, we demonstrate the existence of Shilnikov bifurcations in the dynamics. The analysis of the slow-flow dynamics is confirmed by numerical simulations of the full-order system. The methodology developed in this work can be used in a predictive capacity when ap...