Measurement of Contact Parameters and Discrete Element Simulation Calibration of Rice Bran and Broken Rice

doi:10.13304/j.nykjdb.2022.0835

Abstract

Abstract:

In order to determine the contact parameters required for the discrete element simulation of rice bran and broken rice separation equipment， the contact parameters of rice bran and broken rice particles were measured and calibrated through bench test and simulation test. By free-fall impact method， impact diffusion method， inclined plane sliding method and inclined plane rolling method respectively， it was calibrated that the collision recovery coefficient between broken rice and acrylic was 0.45， static friction coefficient was 0.38， rolling friction coefficient was 0.17， the collision recovery coefficient between rice bran and acrylic was 0.15， static friction coefficient was 0.76. Based on the measurement test of repose angle and MATLAB image processing technology， the repose angle of particle reactor was obtained. Through the steepest climb test and quadratic orthogonal rotation combination test， a quadratic regression model between the influencing factors and repose angle was established， and the minimum relative error of the repose angle was taken as the constraint condition to optimize the regression equation. The optimal parameter combination was obtained： static friction coefficient 0.60， rolling friction coefficient 0.40， collision recovery coefficient 0.61 for broken rice； static friction coefficient was 0.81， the rolling friction coefficient was 0.18， and the collision recovery coefficient was 0.15 for rice bran. The results provided reference for the discrete element simulation parameter setting of rice bran and broken rice separation equipment.

Key words: rice bran, broken rice, discrete element method, contact parameters, calibration of parameters

摘要：

为确定米糠和碎米分离装备离散元仿真所需的接触参数，利用台架试验与仿真试验对米糠、碎米颗粒接触参数进行测量和标定。分别采用自由落体碰撞法、碰撞扩散法、斜面滑动法和斜面滚动法标定了碎米与亚克力间的碰撞恢复系数为0.45、静摩擦系数为0.38、滚动摩擦系数为0.17，米糠与亚克力间的碰撞恢复系数为0.15，静摩擦系数为0.76。基于休止角测量试验，结合MATLAB软件图像处理技术获取了颗粒堆休止角；通过最陡爬坡试验和二次正交旋转组合试验，建立了影响因素与休止角之间的二次回归模型，并以休止角的相对误差最小为约束条件，对回归方程寻优求解，得到了最佳参数组合，其中，碎米间静摩擦系数0.60、滚动摩擦系数0.40、碰撞恢复系数0.61，米糠间静摩擦系数0.81、滚动摩擦系数0.18、碰撞恢复系数0.15。研究结果为米糠和碎米分离装备离散元仿真参数设置提供了参考。

关键词: 米糠, 碎米, 离散元, 接触参数, 标定

CLC Number:

S226.5

Lin CHEN, Nanhui YU, Lizong WANG, Jijun FAN, Gang LEI, Xiaopeng LIU, Long ZHOU, Jin ZHOU. Measurement of Contact Parameters and Discrete Element Simulation Calibration of Rice Bran and Broken Rice[J]. Journal of Agricultural Science and Technology, 2024, 26(2): 127-136.

陈林, 余南辉, 王立宗, 范吉军, 雷港, 刘晓鹏, 周龙, 周劲. 米糠和碎米的接触参数测量与离散元仿真标定[J]. 中国农业科技导报, 2024, 26(2): 127-136.

Figures/Tables 19

Table 1 Material parameter

材料

Material

密度Density/（kg·m^-3）

泊松比

Poisson’s ratio

Fig. 1 Equivalent discrete element model of rice bran and broken rice

Fig. 2 Measurement principle and test of collision recovery coefficient of broken rice

Fig. 3 Measurement test of collision recovery coefficient between rice bran and acryli

Fig. 4 Measurement principle and simulation test of static friction coefficient

Fig. 5 Test of rolling friction coefficient

Fig. 6 Test of angle of repose

Fig. 7 Image processing by MATLAB software

Fig. 8 Fitting curve of collision recovery coefficient and rebound height of broken rice

Fig. 9 Fitting curve of collision recovery coefficient and diffusion diameter of rice bran

Fig. 10 Fitting curve of the static friction coefficient and the inclination angle of the inclined plate of broken rice

Fig. 11 Fitting curve of rolling friction coefficient and horizontal rolling distance of broken rice

Table 2 Steepest climb test design and results

序号Number	试验因素Test factor			试验结果Test result
序号Number	x₅	x₆	x₇	θ_y ´/（°）	$σ$ /%
1	0.35	0.10	0.25	20.5	41.3
2	0.45	0.20	0.35	25.2	27.8
3	0.55	0.30	0.45	27.8	20.2
4	0.65	0.40	0.55	33.1	5.2
5	0.75	0.50	0.65	41.3	18.3
6	0.85	0.60	0.75	43.3	24.1

Table 2 Steepest climb test design and results

序号Number	试验因素Test factor			试验结果Test result
序号Number	x₅	x₆	x₇	θ_y ´/（°）	$σ$ /%
1	0.35	0.10	0.25	20.5	41.3
2	0.45	0.20	0.35	25.2	27.8
3	0.55	0.30	0.45	27.8	20.2
4	0.65	0.40	0.55	33.1	5.2
5	0.75	0.50	0.65	41.3	18.3
6	0.85	0.60	0.75	43.3	24.1

Table 3 Simulation test factor coding

编码Code	试验因素Test factor
编码Code	x₅	x₆	x₇
-1.682	0.48	0.23	0.38
-1	0.55	0.30	0.45
0	0.65	0.40	0.55
1	0.75	0.50	0.65
1.682	0.82	0.57	0.72

Table 4 Experimental design and results of quadratic orthogonal rotation combination

序号Number	试验因素Test factor			Y/%
序号Number	A	B	C	Y/%
1	-1	-1	-1	20.2
2	1	-1	-1	11.2
3	-1	1	-1	8.5
4	1	1	-1	20.6
5	-1	-1	1	15.2
6	1	-1	1	13.7
7	-1	1	1	5.5
8	1	1	1	18.3
9	-1.682	0	0	9.9
10	1.682	0	0	15.3
11	0	-1.682	0	26.0
12	0	1.682	0	24.3
13	0	0	-1.682	3.6
14	0	0	1.682	0.6
15	0	0	0	2.6
16	0	0	0	3.0
17	0	0	0	2.5
18	0	0	0	3.6
19	0	0	0	2.5

Table 5 ANOVA of quadratic regression model

方差来源 Soruce of variation	平方和 Mean square	自由度 Freedom	F值 F value	P值 P value
R² =0.995 3	R_Adj²=0.990 7	Predicted R² =0.964 3	CV=7.28%	Adep precision=38.901 0
模型Model	1226.53	9	213.39	<0.000 1^**
A	45.33	1	70.98	<0.000 1^**
B	5.75	1	9.00	0.015 0^*
C	9.59	1	15.02	0.003 8^*
AB	169.28	1	265.07	<0.000 1^**
AC	11.52	1	18.04	0.002 2^**
BC	0.245 0	1	0.383 6	0.551 0
A²	170.84	1	267.51	<0.000 1^**
B²	868.12	1	1 359.34	<0.000 1^**
C²	0.4161	1	0.651 6	0.440 4
残差Residual	5.75	9
失拟项Lack of fit	4.86	5	4.35	0.089 5
纯误差Pure error	0.892 0	4
总和Sum	1 232.28	18

Table 6 ANOVA of regression model after second optimization

方差来源 Soruce of variation	平方和 Mean square	自由度 Freedom	F值 F value	P值 P value
R² =0.998 8	R_Adj²=0.997 6	Predicted R² =0.985 3	CV=8.38%	Adep precision =42.844 5
模型Model	1 200.53	7	205.72	<0.000 1**
A	40.37	1	48.43	<0.000 1**
B	7.71	1	9.24	0.011 2*
C	12.08	1	14.49	0.002 9**
AB	156.65	1	187.90	<0.000 1**
AC	8.40	1	10.08	0.008 8**
A²	173.99	1	208.71	<0.000 1**
B²	885.88	1	1 062.64	<0.000 1**
残差Residual	9.17	11
失拟项Lack of fit	8.28	7	5.30	0.063 1
纯误差Pure error	0.892 0	4
总和Sum	1 209.70	18

Fig. 12 Broken rice stacking angle

Fig. 13 Rice bran stacking angle

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