The dynamic vibration absorber is a device for reducing the vibration of many structures and mechanical equipments subjected to earthquake excitations which are nonstationary random processes. An impact damper is one of the dynamic vibration absorbers in which motion of auxiliary mass is limited by motion limiting stop. In actual collision phenomena, energy loss for an impact and duration of collision are not negligible small. The energy loss and duration of collision can be considered by introducing hysteresis damping. In this paper, an analytical method for response of main system with impact damper considering energy loss and duration of collision is proposed. The mean square response of the main system is obtained from moment equations introducing equivalent linearization method. Employing the proposed method, some numerical results are obtained. It is concluded that the impact damper having hysteresis damping is effective for reducing the vibration of the main mass subjected to earthquake excitations.
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