Theoretical description of the motion of a material particle in pan vibrating batchers for agricultural purposes

Abstract

One of the main tasks of which is to ensure sustainable feed production using highly efficient resource-saving machines and technologies. It is known that it is recommended to feed agricultural animals and poultry in the form of feed mixtures, balanced in composition. Feed grain can be processed into compound feed, developing its compound feed production in places of direct consumption. In the technology of compound feed preparation, one of the most important links is the dosing process, subject to special requirements for the accuracy of the input of components to obtain a homogeneous feed mixture. It is recognized to consider the use of vibration technologies and machines as promising in the field of dosing, allowing to achieve significant results in improving quality indicators. The paper proposes a theoretical description of the motion of a material particle through vibrating batchers, which can be both single-component and multicomponent. A differential equation for the relative motion of a particle along an inclined plane performing longitudinal nonharmonic oscillations is obtained. The article presents theoretical trajectories of changes in the displacement, velocity, and acceleration of a particle for one period of oscillation of the tray by a vibrating batcher at various values of the generalized coefficient K, obtained on a computer from the results of numerical solutions.