Establishment of a Laminated Crushed Products Function and Numerical Analysis

Guochen Duan, Boqiang Shi, Yanhua Shen and Guoqing Yu
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Guochen Duan: School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
Boqiang Shi: School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
Yanhua Shen: School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
Guoqing Yu: School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Energies, 2019, vol. 12, issue 5, 1-15

Abstract: A model of the relative compression ratio for single-particle crushed products, based on the distinct element method (DEM) and numerical analysis, was established to describe precisely the crushed products of granular particles during laminated crushing. The relative compression ratio model was used to describe the functional relationship between the total compression ratio and the single-particle compression ratio, which can be described by lognormal distribution. The single-particle crushed products model was used to describe the functional relationship between the single-particle compression ratio and the distribution of single-particle crushed products. The distribution of single-particle crushed products was described by a three-parameter beta distribution. On the basis of the above model, the function of laminated crushed products of granular particles was established. According to the simulation results of EDEM under confining pressure, a functional relationship between total compression ratio, particle size, and height of the granular particles for laminated crushed products of granular particles was built. It was proved that the function of the theoretical particle size distribution coefficient of laminated crushed products of granular particles was not too different from the actual value determined by simulation. The function is universal and can be used to provide a theoretical basis and a design reference for the design of cone crushers, high-pressure roller mills, and other crushing equipment.

Keywords: distinct element method (DEM); crushed products; three-parameter beta distribution; numerical analysis (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
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