Theoretical substantiation of kinematic parameters of a vibrating mixer of bulk feed

When growing farm animals and poultry, it is recommended to feed them highly homogeneous feed mixtures in the form of compound feeds and compound feed concentrates, balanced in composition. An important role in the technology of preparation of compound feeds is assigned to machines and devices for mixing - feed mixers. It is known that vibration technologies have proven themselves well in this area, giving a significant improvement in quality indicators. The peculiarity of the impact of vibration on the processed bulk components is the ability to intensify the mixing process or cause specific effects that contribute to mixing. At the same time, the qualitative organization of the mixing process is possible only with the purposeful impact of vibration. As an object of scientific research in this work, the process of mixing bulk feed components in a vibrating mixer equipped with conical working surfaces is adopted. The purpose of the research is the theoretical substantiation of the kinematic parameters of the vibrating mixer. For a theoretical description of the mixing process, a model of the motion of a material particle is chosen. A design scheme of a laboratory-experimental vibrating feed mixer with conical working surfaces has been compiled. Differential equations, which will be a mathematical model describing the process of moving particles along a conical surface, are obtained by applying a parametric equation of the surface and a system of Lagrange equations. The correctness of the mathematical model is confirmed according to the decision of Clerault. A computer program has been compiled, with the help of which calculated trajectories of particle movement are constructed. By analyzing the graphical dependencies, the theoretical justification of the kinematic parameters - the amplitude and frequency of vibrations of the vibrating chute - was carried out. The theoretical substantiation of the geometric parameters of the conical working surfaces of the vibration contact is carried out. According to the results of the theoretical studies, some patterns of particle motion have been identified.