Abstract: A single span flexible rotor system with two discs is investigated and a finite element model of the rotor-bearing system is established. By simplifying one disc and its corresponding stator as a point-point contact element to simulate rotor-stator rubbing, rotor-stator separation and full circle contact is determined by the change of cylindrical gap and the rotor and stator model are coupled by nonlinear contact force. By adopting the augmented Lagrangian method to deal with contact constraint conditions and coulomb friction model to simulate rotor-stator frictional characteristics, the responses of the rotor system with rubbing are analyzed. The effects of rotating speeds, rotor-stator gap, rotor-stator normal contact stiffness, damping and friction efficient on normal rubbing forces and vibration responses are discussed. The results show that the rotating speed and rotor-stator normal contact stiffness have the greatest effects on the rubbing force, and the rotor-stator contact damping and friction efficient have less effect, while the rotor-stator gap has only minimum effect.