Vibro-impact processes in systems with multiple impact pairs and distributed impact elements

This paper is a brief review of some interesting, and perhaps surprising, phenomena often encounterd in the discrete and distributed systems which vibrate with impacts. We examine such systems in some cases where we have multiple collisions of subsystems or the sizes of objects require the consideration of wave processes. Such systems are: Mechanical objects, which elements are subjected to impacts;Various extended constructions, vibrating near pointwise, gridwork and continuous movement obstacles;Vibro-conductive and vibro-arresting constructions equipped with facilities with solitary and multiple breaks, etc.Original calculation methods have been presented which are based on the frequency-time analysis and other methods of the modern nonlinear mechanics. Multiple nonlinear effects are theoretically described, which are related to the formation of specific nonlinear waves of trapezoidal profiles; advent of localization of intensive impacts in some areas of constructions; generation of higher harmonic components; generation of non-synchronic and chaotic movements, etc.