“…The universal mathematical model is developed on the basis of the mathematical model of vibrating feeders with an adaptive vibration impact drive, which is modeled by the layout scheme (variant 1), and vibrating polyfrequency screens, which is modeled by the layout scheme (variant 3) [19][20][21][22]. The model is developed in the form of a computational algorithm for its numerical research, which is implemented in the form of a computer program in the FORTRAN algorithmic language, and has an interface that allows to set and change the parameters of the vibroimpact system, determine the dependence of the amplitudes, velocities and accelerations of the oscillations of its masses, rotation angles, angular velocities and accelerations of debalances of the vibrators, slips, moments of rotation and resistance to rotation of their asynchronous electric motors, phase diagrams of mass oscillations of the system and their Poincare intersections, reactions in two-sided and one-sided elastic bonds, energies, powers and work of oscillations in the system, perform spectral analysis of mass oscillations, determine periodicity or non-periodicity of system oscillations, etc.…”