Motion of material particle with tossing in model problem with ?not holding? ties

The purpose of this work is to establish research methods mechanical systems with ?not holding? ties. The prob-lems of determining the mode of continuous flying up of a material particle from surface oscillations with the force of gravity are considered. The graphical-analytical method for determination of the mode parameters is realized. The analytical characteristics of the relations between the basic modes of continuous flying up of a particle as a function of the parameters of the surface vibrations are identified. The proposed methodological framework can be used to research the mode of continuous flipping with additional constant force which operate from the external environment in free flight phase.