Dynamics of rotating flexible structures

The dynamics of rotating flexible structures are described by nonlinear hybrid systems of coupled ordinary and partial differential equations. These equations are derived for a certain class of structures which has been chosen for study in the belief that it displays all the important dynamical features to be encountered with any flexible structure. When structural damping is present, and there are no external torques, there is a set of equilibrium states toward which all trajectories of the system evolve. This set is studied in some detail, and it is shown how the steady state dynamics may be completely characterized. A brief stability analysis is given which indicates how a rotating structure settles down to an equilibrium.