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To research and develop efficient vibrating type crusher, a single-sided dynamic model is established for the impact and vibration crushing system, and the differential equation of vibration is set up with Newton's law for dynamic analysis. By making amplitude frequency curve, hysteretic impact force curve and energy absorption curve, the influence of which on the system response is analyzed. Based on the conclusion and using numerical method, the primary forced resonance of the system is calculated, and the time history of displacement, velocity and acceleration is obtained, showing that the motion mass movement is not a simple harmonic motion, the nonlinear impact force is one of the factors that influences the vibration system, and the influence rules of clearance, vibration frequency on the amplitude frequency curve, impact force and energy absorption are also obtained. The gap between the material and the broken head should be kept as small as possible so as to achieve a better crushing effect with a smaller excitation force, and the system is best to work in the main resonant area to get a big impact. The research result provides reference for further study of rules and mechanism of the vibration systems.