This paper deals with steady-state and random response of the main system with the impact damper. Considering the energy loss in a collision and duration of collision, an analytical model with hysteresis loop characteristics is introduced. For harmonic excitation, steady-state response is obtained from an analytical method of approximate solution. For random excitations, mean square response of the main system is obtained from moment equations introducing equivalent linearization method. Some numerical results of the approximate solution are shown.
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