Considering the rotor system with coupling of the crack and rubbing faults,on the theoretical basis of rotor dynamics and nonlinear dynamics,and crack-rubbing coupling faults of floating bearing rotor system dynamics model were established.Shooting method and Runge–kutta method were used to numerical simulate gas film force,crack and local rubbing coupling faults of the rotor system,found the rotor system existing of periodic,the cycle and chaotic motions of the phenomenon,provided the theory basis of rotor system for the safety work.