Abstract
Recently, several versions of the Higher Order Harmonic Balance (HOHB) Method have been implemented to predict Limit Cycle Oscillations (LCO) of aeroelastic systems with various nonlinearities which include freeplay, cubic, or transonic aerodynamic non-linearities. The LCO behaviours predicted by the HOHB Method have consistently been in good agreement with results obtained from classical numerical integration methods. In this paper, the HOHB Method is extended to a non-linear aeroelastic system which comprises an airfoil mounted on a hysteretic non-linear pitch spring and a linear plunge spring in an incompressible flow. The LCO amplitudes and frequencies predicted by the HOHB Method are in excellent agreement with numerical integration results.
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