Abstract
The dynamics of wing rock on rigid aircraft having two rotational degrees of freedom are analyzed. Nonlinear mathematical models of the aircraft are developed for the purpose of the analysis. The aerodynamic expressions contained in the models are built by tting the appropriate aerodynamic data into the model. The nonlinear dynamics are analyzed using a technique combining the multiple time scales method, center manifold reduction principle, and bifurcation theory. Analytical solutions are developed in parametric forms showing a separation of the fast and slow dynamics. Such solutions have an advantage over numerical solutions in that the important parametersand their effects onwing rock characteristics, such asamplitudeandfrequency, are easily seen inexplicit functional relationships. An excellent agreement between the analytical results and the numerical simulations is demonstrated.
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