In this paper, the dynamic response of a vibratory system equipped with a single-unit impact damper is analyzed. The reliability behavior of this system is investigated when the stress and strength are distributed lognormally. The standard deviation of lognormal stress is realistically calculated by applying external noise and an uncertainty parameter in the simulated model. Variations of the damping inclination and the reliability of the system, with respect to the coefficient of restitution, are obtained. Finally, damping inclination, safety factor and system reliability are presented in a user-oriented diagram. Such reliable systems equipped with impact dampers can strongly suppress the undesired vibrations.

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