TY - JOUR
T1 - Harmonic balance approach for an airfoil with a freeplay control surface
AU - Liu, Liping
AU - Dowell, Earl H.
PY - 2005/1/1
Y1 - 2005/1/1
N2 - The nonlinear aeroelastic response of a two-dimensional airfoil, including a control surface with freeplay placed in an incompressible flow, is studied. The model equations are formulated as a set of first-order ordinary differential equations. First, the dynamic response is investigated by a time integration method, and the time integration results are used for the verification of the harmonic balance results. The interesting hysteresis phenomenon and the effect of initial conditions of the subcritical bifurcation are presented. A higher-order harmonic balance method is then derived to investigate the high harmonics of the airfoil motions. The harmonic balance prediction is verified by comparison to the results from a numerical time marching integration and also by comparison to results from a previous experiment. Copyright © 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
AB - The nonlinear aeroelastic response of a two-dimensional airfoil, including a control surface with freeplay placed in an incompressible flow, is studied. The model equations are formulated as a set of first-order ordinary differential equations. First, the dynamic response is investigated by a time integration method, and the time integration results are used for the verification of the harmonic balance results. The interesting hysteresis phenomenon and the effect of initial conditions of the subcritical bifurcation are presented. A higher-order harmonic balance method is then derived to investigate the high harmonics of the airfoil motions. The harmonic balance prediction is verified by comparison to the results from a numerical time marching integration and also by comparison to results from a previous experiment. Copyright © 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
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U2 - 10.2514/1.10973
DO - 10.2514/1.10973
M3 - Article
SN - 0001-1452
VL - 43
SP - 802
EP - 815
JO - AIAA journal
JF - AIAA journal
IS - 4
ER -