The dynamic model of Jeffcott rotor system with rubbing fault based on rigid supports at two ends is built.In combination of shooting method with 4-order Runge-Kutta algorithm,the non- linear dynamic behaviors of the rotor system caused by partially rubbing.fault is studied.Some typical trajectories of journal centers,displacement response,amplitude spectrum and Poincare sections of the rubbed rotor system are obtained from simulation.Besides,the paper analyzes the influence on the rotor system movement of the rotor system parameters,including frequency ratio and stiffness ratio,from which the complicated dynamic behaviors of doubling-periods,approxi- mate-periods and chaos in this nonlinear vibration system are discovered.The conclusions provide a definite basis for identification and diagnosis of rubbing faults.