Abstract: The main factors influencing the rock system are analyzed in terms of the characteristics of rock fracture under quasiperiodic driving.A stick-slip mode of rock fracture is established in consideration of the plane friction behavior, and based on the kinetic characteristics of this model, a kinematical differential equation is established.A theoretical method for judging the motion stability of the rock system is proposed through a non-linear kinetic study of the differential equation.The effects of different parameters on the rock system are analyzed by numerical simulation method and the stick-slip behavior of rock system is also analyzed.

Key words: Quasiperiodicity, Stability, Damping, Friction, Stick-slip, Non-Linear, Motion equation