Journal of Jilin University(Engineering and Technology Edition) ›› 2018, Vol. 48 ›› Issue (6): 1770-1776.doi: 10.13229/j.cnki.jdxbgxb20170772

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Tooth strength analysis of mineral sizer by coupling discrete element method and finite element method

BI Qiu-shi1(),WANG Guo-qiang1,HUANG Ting-ting1,MAO Rui2,LU Yan-peng1   

  1. 1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022,China
    2. Technical Center, Taiyuan Heavy Industry Co., Ltd., Taiyuan 030024, China
  • Received:2017-07-24 Online:2018-11-20 Published:2018-12-11

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Abstract:

Comparing with compressive primary crushers such as jaw crusher or gyratory crusher, mineral sizer breaks the material mainly by shear or tensile force. Besides, mineral sizer has unique characteristics that it can crush larger mineral particles and shorten the crushing process. Because of the complexity of the crushing process of the mineral sizers, it is difficult to calculate the breaking force acting on the breaking tooth and its distribution theoretically. Therefore, a DEM (discrete element method)-FEM (finite element method) coupling method was applied in this article for the tooth strength analysis in order to improve both the authenticity and the accuracy of the calculation. In this method, the distributed loads, which are the output from the DEM simulation software of EDEM, are applied to the FEM model constructed in the software of ANSYS. It is essential to calibrate the bonding parameters in DEM simulation so as to properly describe the breaking behavior. In this article, uniaxial compression experiment and Brazil disk test were taken as the calibration methods for the bonding parameters according to the compressive and tensile strengths of different bonded materials considering the size effect. After the calibration of bonding parameters, crushing process was simulated in software of EDEM and the breaking force distribution on the tooth at any second was obtained and analyzed. Finally, the force distribution at the moment when the largest breaking force occurred was exported and applied on the FEM model in the software of ANSYS for the strength analysis. The results of the FEM analysis show that the breaking force load mainly distributes on the back of the breaking tooth and the stress concentration occurs at the front part of it.

Key words: mechanical design, mineral sizer, roller tooth, discrete element method (DEM) and finite element method (FEM), size effect, calibration, strength analysis

CLC Number: 

  • TD451

Fig.1

DEM-FEM model of roller teeth and material"

Fig.2

Schematic diagram of the bonding model"

Fig.3

Basic parameters of roller teeth"

Table 1

Feed size and quantity in simulation"

选择粒径/mm 100 178 400 500 700 1300
质量百分比/% 76.8 4.3 6.4 3 3.1 2.9
数量 60000 490 75 18 7 1

Table 2

Particle contact parameters"

参数 物料 齿辊
密度/(kg·m-3) 2000 7850
泊松比 0.29 0.3
剪切模量/MPa 20 8.0×104
静摩擦因数 0.45 0.4
动摩擦因数 0.2 0.05
恢复系数 0.01 0.2

Fig.4

Effect of size on coal compressive strength"

Fig.5

Simulation of uniaxial compression test in EDEM"

Fig.6

Stress-strain curves of the specimen model"

Fig.7

Simulation of Brazil disk test in EDEM"

Table 3

Bond parameter values"

物料粒度
/mm		 单位面积
法相刚度/
(108 N·m-2)		 单位面积
切向刚度/
(107 N·m-2)		 临界法
向应力/
MPa		 临界切
向应力/
(105Pa)
400 5.2 5.2 4.1 4.1
500 6.3 6.3 5.5 5.5
700 9.5 9.5 6.5 6.5
1300 1.1 1.1 8.0 8.0

Fig.8

Simulation of the production process of mineral sizer"

Fig.9

Force of middle roller teeth"

Fig.10

Coupling between the EDEM module and the Static Structural module"

Fig.11

Finite element analysis of roller tooth"

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