Based on Theodorsen's theory and Wagner's function, the expressions of unsteady aerodynamic forces for arbitrary motions of a two-dimensional airfoil with three degrees of freedom are presented. It is assumed that the airfoil is subjected to an incompressible flow. The non-dimensional piecewise linear equations of motion for the two-dimensional airfoil with control surface freeplay nonlinearity are established. The phase trajectories, non-dimensional amplitudes and frequencies of limit cycle oscillation are...
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