Abstract：The stability and its changing law of uniaxial static loading rock system are analyzed by the catastrophe theory. The relationship between dynamic loading and the response of uniaxial static loading rock system is nonlinear and changing law of self-vibration frequency of the system is found out to be adherent to the nonlinear dynamics model of uniaxial static loading rock system. It is shown that when dynamic loading frequency and amplitude reach certain value，fierce jump of amplitude of uniaxial static loading rock system under dynamic loading will occur，then failure of rock specimen subsystem will appear. And the intensity of dynamic signal plays a decisive role in the evolution of uniaxial static loading rock system under dynamic loading. These theoretical analytical results are proved by experiment on uniaxial static loading rock system under dynamic loading.
