Abstract
This paper presented an investigation of particle collision and penetration using the discrete element method to understand the motion of particles and improve theoretical treatment in the sieving process. The process progressively was divided into looseness, stratification, collision, and penetration. Particle penetration has a direct effect on the screening performance. The penetration probability was defined, and the mathematical relationships between particle penetration and vibration parameters were established using the least squares method. To obtain the ideal penetration probability for materials the amplitude and frequency should preferably be near 3.0 mm and 25 Hz, respectively. The vibration direction angle has only a slight effect on penetration. The stage of the screening process from 0.1 to 0.7 s is the primary region for collision and penetration. This paper focused on the sieving process to more fully understand how particle collision and penetration influence the screening efficiency.
Highlights
The understanding of screening process is incomplete regarding the intricacies of particle-particle and particlemachine interactions
This paper presented an investigation of particle collision and penetration using the discrete element method to understand the motion of particles and improve theoretical treatment in the sieving process
This paper focused on the sieving process to more fully understand how particle collision and penetration influence the screening efficiency
Summary
The understanding of screening process is incomplete regarding the intricacies of particle-particle and particlemachine interactions. The probability model and equations for a spherical particle penetrating a hole were developed by Subasinghe et al (1989). Theory of particle cluster screen-penetrating probability has been established. In 1972, the collision speed transfer formula of particle clusters in the sieving process was established by Bruder. Tong explored the relationship between vibration parameters and screen efficiency, as well as performing simulations of stratification and penetration over various structural and vibration parameters based on the DEM (Chen and Tong 2009, 2010; Wang and Tong 2011). Taking into account particle-particle and particle–machine interactions, we study a series of screening simulations which provides a theoretical foundation for apparatus design based on optimized screening parameters, and provides a reasonable explanation for the screening process. The tangential force, Ft depends on the tangential overlap d, and the tangential stiffness, St
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