Determining the movement of loose media in vibrating equipment (in particular, vibratory volume processing, grinding, separation) is a rather complex task of dynamics, which has not been fully investigated to date. The reason for this is the cumbersomeness of the mathematical description of the dynamics of the fluid medium, simplifying hypotheses and assumptions, the linearity of the models, which do not always adequately reflect the real physics of the investigated vibrational process. In recent years, vibration mechanics and vibrorheology have played an important role in the emerging new direction of applied vibration theory - the theory of vibration processes and devices. This theory examines the regularities of the impact of vibrations in various mechanical systems. It also covers the theory of machines where vibration is used for useful purposes. Vibrorheology is a branch of mechanics that studies the change under the influence of vibration in the rheological properties of bodies in relation to slow forces, as well as the corresponding slow movements of bodies. In recent years, vibration mechanics and vibrorheology have gained significant importance in a new direction of applied vibration theory - the theory of vibration processes and devices. This branch investigates the patterns of creation and influence of vibrations in various mechanical systems; it also covers the theory of machines where vibrations are used for useful purposes. Using the models mentioned below, it was possible to describe the chaotic movement of a layer of loose medium under the influence of vibration. These movements have been well studied in liquid media and have also been successfully studied in loose media. This further confirms the possibility of modeling the slow movements of a loose medium using analogies related to the movements of a viscous liquid.