Constructing the schematic and mathematical model of the dynamics of a vibratory drum separator

A structural diagram of a vibratory drum separator has been developed, and based on it, a mathematical model of the separator’s oscillatory motion has been constructed. The mathematical model was built using nonlinear mechanics methods and Lagrange equations. The obtained dependencies allow for determining the influence of geometric and physico-mechanical parameters on various factors affecting the intensity of the separation process. The research results should be used both at the design stages of vibratory separators and when selecting their parameters and operational modes.