Establishment of a Laminated Crushed Products Function and Numerical Analysis

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.

Establishment of energy consumption model and multi-objective optimal control method of 6-DOF robotic crusher

“…According to previous research, 20 the probability density function of single particle compression ratio η s with different particle sizes d i under the determined actual compression ratio is lognormal distribution, that is…”

“…In this paper, the energy consumption model suitable for 6-DOF robotic crusher is established. Combined with the existing research results, 20 the optimization function with total energy consumption, mass fraction of crushed products below 12 mm, energy consumption ratio, and throughput as the optimization objective and position of suspension point, rotational speed and precession angle of the moving cone as the optimization variables is established. Combining the model with the experimental data of Anshan Iron and Steel Group, the optimization results are obtained by genetic algorithm.…”

Grain size and shape fractal characteristics of gangue in the process of ’jaw breaking-ball milling’

“…Considering fractal dimensions from the perspective of crushing form, Fig 13 illustrates the crushing form of gangue in the "jaw crushing-ball milling" process. Since the jaw crusher mainly relies on the extrusion between the movable jaw and the static jaw to crush the rock as depicted in Fig 13(A) [44,45]. According to the laminated crushing theory, the gangue must go through n times of extrusion crushing from the feeding port to the ore discharge port.…”

Research of Single-Particle Compression Ratio and Prediction of Crushed Products and Wear on the 6-DOF Robotic Crusher

“…e particle size distribution of crushed products can be described by 3-parameter beta distribution in [28], that is, the mass fraction of the ratio of crushed particle size d o and feed particle size…”

“…e maximum single-particle compression ratio and liner wear model are established as a function of expectation of particle size, actual compression ratio of the granular material, original compression thickness, and particle size distribution coefficient. Based on the authors' previous research results [28], the crushed products' distribution and wear in the whole liner life cycle are calculated by the above functions and models, which are universal and can be used as a control strategy basis for real-time regulation of the 6-DOF robotic crusher. It can also provide design reference for cone crusher with traditional structure.…”