Rotors comprising a motor-driven thin cylindrical shell with rigidly attached ends and torsional dampers, all of which are supported on bearings, are investigated. Analysis procedures enabling the variations in the model singularities with parameter changes are outlined. General results are derived indicating that the system damping ratio is maximized under specific operating conditions. A typical high-speed rotor for a paper manufacturing process is considered and analytical and simulation results are presented, confirming the predicted optimum damper settings and thereby minimizing the transient oscillations.
