A six-freedom degree coupled dynamic model was proposed for gear transmission systems on the basis of tribology and gear system dynamics.In the model the wear,time-varying mesh stiffness,eccentricity mass and tooth errors of gears were taken into account to simulate the practical working condition.The nonlinear vibrations of gears were studied by applying the self-adapt and variable step method of numerical simulation.Vibration characteristics were compared between the standard and cracked teeth.Finally,the...