Modeling Method and Simulation of Crushing Process of Vertical Shaft Impact Crusher Based on Cumulative Damage Model

In a vertical impact crusher, material particles undergo multiple impact collisions and eventually break due to accumulated damage. In order to further study the crushing mechanism of the crusher, a cumulative damage model of material particles under re-peated impact was established. Firstly, a crushing model is established based on the specific fracture energy, reflecting material particles' cumulative damage and crushing process. Then, the simulation model of the crushing system of the vertical shaft impact crusher is established. And by simulating the crushing process of limestone particles in a crusher, it reveals that the crushing of particles is essentially due to the crushing that occurs as a result of multiple cumulative impacts. Next, the simulation model is used to simulate and analyze the rotor's power and particle size distribution of crushed products of limestone, iron ore, and copper ore during crushing. The reliability of the simulation model is experimentally validated. Finally, the simulation analyzed the in-fluence of the diameter and speed of the crusher rotor, as well as the mixed feeding of various materials, on the rotor power and material crushing effect. The results show that the particle size distribution curves of three types of crushed products, including limestone, have a high degree of agreement between simulation and experiment. Fur-thermore, the simulation values of rotor power and specific power consumption fit well with the experimental values, verifying the reliability of the simulation model. As the rotor diameter and rotor speed increase, the rotor power and sand production rate gradually increase. And the increase in rotor power is much greater than the increase in sand production rate. When the feed is a mixture of multiple materials, the rotor power increases approximately linearly with the increase of the proportion of high hardness materials in the feed, while the yield of fine particles in the crushed product decreases with the increase of the proportion of high hardness materials in the feed.