Research has been conducted on dry coal selection technology to achieve efficient and clean utilization of coal and reduce water resource waste. To investigate the effective separation of 6–1 mm fine coal using this approach, the vibrating cascade sorter was examined, with particular attention given to its dynamic characteristics and motion behavior. Dry coal vibrating cascade sorter motion simulation experiments were carried out and the mechanical system motion characteristics of the vibrating cascade sorter were simulated and analyzed using multi-body dynamics software ADAMS, including the motion curve and spatial trajectory of the sorter body. Theoretical calculations of the sorter body’s motion characteristics, including displacement amplitude, velocity amplitude, and acceleration amplitude, were compared with simulation results derived from multi-body dynamics. The comparison revealed a strong agreement between the computational model and analytical predictions, with a maximum deviation of less than 3.75%. The dynamic behavior of the vibrating cascade sorter at various rotational speeds was evaluated and contrasted against predictive models, with the highest discrepancy between the observed and predicted outcomes being less than 7.6%.
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