Abstract

Vibratory feeders are widespread in the production processes of mining companies. For this reason, optimized design and fine-tuned operation of a flow-line conveyor system feeding material to separators with X-ray fluorescent spectrometer sensors can increase the diamond production capacity and improve the energy conversion efficiency by reducing the power consumption. This study considers vibration-assisted transportation of bulk material layer in vibratory feeders and develops a mathematical model of an electromagnetic drive using mathematical modeling. The analysis methods include theoretical studies of technical documentation of flow and transport systems in general and vibration feeders in particular, mathematical modeling of technical systems using the MatLab software package and Simulink application. The research included theoretical studies of transportation of a layer of bulk material at different vibration frequencies and amplitudes. A mathematical model has been developed describing the vibration-assisted transportation of bulk material in the feeder tray. The resulting calculated data has been compared with experimental data. A mathematical model of an electromagnetic drive with a control system that stabilizes feeder performance has been developed, which allows adjusting the optimal basic feeder vibration frequency at a known resonant frequency. The obtained results can be applied to the processing factories for mineral separation of diamond-containing rocks to calculate the power of the feeder drive and the selection of the type of power system in terms of optimality for the technological process and the energy efficiency of electrical equipment.

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