Numerical analysis of a moving mass´s vibration suppression for a vertical vibrating system

In this paper, theoretical analysis and numerical simulation of a vertical vibrating system with an impact damper is presented. Different impacting forms are occurred in system under simple harmonic excitation. Phase diagram of periodic motion and temporal changes of velocity and displacement in time domain are given. Two important parameters of mass ratio and restitution coefficient are discussed for effect on motion of impact vibrating system, and stable periodic regions about this two parameters are obtained. Vibration suppression on boundaries of regions is calculated for regarding damping ratio of amplitude as evaluation standard. It is concluded that the impact damper´s effectiveness depends on impacting phase of the mass particle and amplitude is always declined greatly when exciting frequency is close to the natural frequency. Vibration suppression on amplitude changes little when impacting order of periodic response is the same. The studying method presenting in this paper could be benefit for guiding the design of the impact damper and forecasting its damping effect.