Abstract
The exact solution for the symmetric two impacts/particle/cycle motion of an n-unit impact damper attached to a sinusoidally excited primary system is derived analytically, and its asymptotically stable regions are determined. Simulated motion on a digital computer and experimental studies with a mechanical model are presented, and they show good agreement with theoretical results. It is found that properly designed multiple-unit impact dampers are more efficient than equivalent single-unit impact dampers in regard to vibration reduction and noise level of operating units.

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