Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap

doi:10.3969/j.issn.1004-1524.2022.04.18

Acta Agriculturae Zhejiangensis ›› 2022, Vol. 34 ›› Issue (4): 814-823.DOI: 10.3969/j.issn.1004-1524.2022.04.18

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Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap

PENG Caiwang(), ZHOU Ting, SUN Songlin(), XIE Yelin, WEI Yuan

College of Mechanical and Electrical Engineering, Hunan Agricultural University, Changsha 410128, China

Received:2020-10-23 Online:2022-04-25 Published:2022-04-28
Contact: SUN Songlin

Abstract

Abstract:

Black soldier fly plays an important role in reducing the cost of livestock and poultry manure discharge and farm pollution. However, black soldier fly separation was a difficult procedure for the follow-up comprehensive utilization of livestock manure. The parameters of discrete element model for black soldier fly was important for black soldier fly separation based on EDEM simulation software. A method was proposed to calibrate the parameters of discrete element model for black soldier fly based on tests of the angle of repose. Firstly, the “Hertz-Mindlin with JKR” contact model in the system was selected and the angle of repose was taken as the evaluation index to calibrate the parameters for the discrete element simulation model of the black soldier fly. Secondly, it was found that not all discrete element model parameters of black soldier fly had significant impact on the angle of repose, only three parameters (shear modulus, static friction coefficient and rolling friction coefficient of the black soldier fly) that had significant influence on the accumulation of the black soldier fly were selected by Plackett-Burman design test. Then, the best range of three significant influencing factors was determined by the steepest climbing test, the other seven factors in this test were the intermediate values of the initial range, and the three significant parameters gradually were increased and decreased until the relative error between the simulated value and the physical test value reached the minimum. Finally, the accumulation angle of black soldier fly was taken as the response value, quadratic regression orthogonal rotation combination test was used, and the repose angle regression model was obtained. The regression model was optimized, and the optimal values of three significant factors were obtained: black soldier fly shear modulus was 8.67 MPa, static friction coefficient was 0.43, rolling friction coefficient was 0.32. By using the optimal parameter combination for simulation analysis, the mean value of the accumulation angle was 35.84°, the physical test was 34.66°, the relative error between them was 3.40%. The results showed that this method was feasible for the calibration of discrete element simulation parameters of the black soldier fly, which provided a basis for material characteristics data for the design and research of screening machinery of the black soldier fly based on EDEM software.

Key words: black soldier fly, accumulation angle, parameter calibration, response surface methodology, discrete element

CLC Number:

PENG Caiwang, ZHOU Ting, SUN Songlin, XIE Yelin, WEI Yuan. Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap[J]. Acta Agriculturae Zhejiangensis, 2022, 34(4): 814-823.

Figures/Tables 15

Fig.1 Black soldier fly larva

Fig.2 Test of box side plate lifting method 1, Bottom plate; 2, Black soldier fly larva; 3, Baffle; 4, Box; 5, Base plate.

Fig.3 Form of particle contact

Fig.4 Model of particle contact

Fig.5 Simulation model of black soldier fly

Table 1 Setting of simulation parameters

参数Parameters	数值Values
黑水虻泊松比 X₁ Poisson’s ratio of black soldier fly	0.20~0.40^a
黑水虻密度X₂ Density of black soldier fly/(kg·m^-3)	320~380^a
黑水虻剪切模量 X₃ Shear modulus of black soldier fly/MPa	8~14^a
不锈钢泊松比 Poisson’s ratio of steel	0.30^b
不锈钢密度 Density of steel/(kg·m^-3)	7860^b
不锈钢剪切模量 Shear modulus of steel/Pa	7.90×10^10b
黑水虻间碰撞恢复系数 X₄ Black soldier fly restitution coefficient	0.10~0.30^a
黑水虻间静摩擦系数 X₅ Black soldier fly static friction coefficient	0.40~0.60^a
黑水虻间滚动摩擦系数 X₆ Black soldier fly rolling friction coefficient	0.30~0.50^a
黑水虻-不锈钢碰撞恢复系数 X₇ Black soldier fly-steel restitution coefficient	0.20~0.40^a
黑水虻-不锈钢静摩擦系数 X₈ Black soldier fly-steel static friction coefficient	0.50~0.70^a
黑水虻-不锈钢滚动摩擦系数 X₉ Black soldier fly-steel rolling friction coefficient	0.35~0.55^a
黑水虻表面能 X₁₀ Black soldier fly surface energy/(J·m^-2)	0.05~0.65^a

Fig.6 Simulation of box side plate lifting method 1, Bottom plate; 2, Black soldier fly larva; 3, Baffle; 4, Box.

Table 2 Design and results of Plackett-Burman test

序号 No.	参数Parameters											堆积角 Repose angle/(°)
序号 No.	X₁	X₂	X₃	X₄	X₅	X₆	X₇	X₈	X₉	X₁₀	X₁₁	堆积角 Repose angle/(°)
1	1	1	-1	1	1	1	-1	-1	-1	1	-1	45.25
2	-1	1	1	-1	1	1	1	-1	-1	-1	1	54.02
3	1	-1	1	1	-1	1	1	1	-1	-1	-1	43.02
4	-1	1	-1	1	1	-1	1	1	1	-1	-1	45.41
5	-1	-1	1	-1	1	1	-1	1	1	1	-1	53.65
6	-1	-1	-1	1	-1	1	1	-1	1	1	1	37.70
7	1	-1	-1	-1	1	-1	1	1	-1	1	1	40.74
8	1	1	-1	-1	-1	1	-1	1	1	-1	1	38.54
9	1	1	1	-1	-1	-1	1	-1	1	1	-1	39.48
10	-1	1	1	1	-1	-1	-1	1	-1	1	1	38.89
11	1	-1	1	1	1	-1	-1	-1	1	-1	1	39.94
12	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	38.19
13	0	0	0	0	0	0	0	0	0	0	0	43.58
14	0	0	0	0	0	0	0	0	0	0	0	43.02
15	0	0	0	0	0	0	0	0	0	0	0	43.15

Table 3 Variance analysis of Plackett-Burman test results

参数 Parameters	标准化效应 Stdized effects	均方和 Sum of mean squares	贡献度/% Contribution degree	P值 P value
X₁	-3.48	36.37	10.08	0.052 9
X₂	1.39	5.81	1.61	0.337 8
X₃	3.86	44.74	12.39	0.039 2
X₄	-2.40	17.30	4.79	0.133 7
X₅	7.20	155.45	43.07	0.004 9
X₆	4.92	72.67	20.13	0.018 3
X₇	0.98	2.91	0.81	0.484 3
X₈	0.94	2.68	0.74	0.501 1
X₉	-0.90	2.42	0.67	0.521 3
X₁₀	-0.57	0.97	0.27	0.679 8

Table 4 Design and results of steepest climbing test

序号 No.	参数 Parameters			堆积角 Repose angle/(°)	相对误差 Relative error/%
序号 No.	X₃/MPa	X₅	X₆	堆积角 Repose angle/(°)	相对误差 Relative error/%
1	7.0	0.35	0.25	31.73	8.4
2	8.5	0.40	0.30	34.54	0.3
3	10	0.45	0.35	37.44	8.0
4	11.5	0.50	0.40	40.06	15.6
5	13.0	0.55	0.45	43.46	25.4
6	14.5	0.60	0.50	45.47	31.2

Table 5 Experiment factors and codes

水平 Level	因素Factor
水平 Level	X₃/MPa	X₅	X₆
-1.682	6.0	0.32	0.22
-1	7.0	0.35	0.25
0	8.5	0.40	0.30
1	10.0	0.45	0.35
1.682	11.0	0.48	0.38

Table 6 Experiment scheme and results

序号 No.	x₃	x₅	x₆	堆积角 Repose angle/(°)
1	-1	-1	-1	31.56
2	1	-1	-1	32.27
3	-1	1	-1	35.55
4	1	1	-1	35.13
5	-1	-1	1	31.40
6	1	-1	1	33.91
7	-1	1	1	36.25
8	1	1	1	37.50
9	-1.682	0	0	33.38
10	1.682	0	0	34.95
11	0	-1.682	0	30.45
12	0	1.682	0	36.95
13	0	0	-1.682	34.27
14	0	0	1.682	35.05
15	0	0	0	33.84
16	0	0	0	33.11
17	0	0	0	33.52
18	0	0	0	32.83
19	0	0	0	32.34
20	0	0	0	32.63

Table 7 Variance analysis of regression equation

方差来源 Soruce of variation	平方和 Sum of square	自由度 Degree of freedom	均方 Mean square	P值 P value
模型Model	65.07	9	7.23	<0.000 1
x₃	3.28	1	3.28	0.002 2
x₅	50.35	1	50.35	<0.000 1
x₆	2.52	1	2.52	0.005 1
x₃x₅	0.71	1	0.71	0.086 0
x₃x₆	1.51	1	1.51	0.020 0
x₅x₆	0.32	1	0.32	0.233 9
$x 32$	2.15	1	2.15	0.008 0
$x 52$	0.71	1	0.71	0.087 2
$x 62$	4.54	1	4.54	0.000 7
残差Residual	1.97	10	0.20
失拟Lack of fit	0.39	5	0.078	0.923 7
纯误差Pure error	1.58	5	0.32
总和Sum	67.04	19

Table 7 Variance analysis of regression equation

方差来源 Soruce of variation	平方和 Sum of square	自由度 Degree of freedom	均方 Mean square	P值 P value
模型Model	65.07	9	7.23	<0.000 1
x₃	3.28	1	3.28	0.002 2
x₅	50.35	1	50.35	<0.000 1
x₆	2.52	1	2.52	0.005 1
x₃x₅	0.71	1	0.71	0.086 0
x₃x₆	1.51	1	1.51	0.020 0
x₅x₆	0.32	1	0.32	0.233 9
$x 32$	2.15	1	2.15	0.008 0
$x 52$	0.71	1	0.71	0.087 2
$x 62$	4.54	1	4.54	0.000 7
残差Residual	1.97	10	0.20
失拟Lack of fit	0.39	5	0.078	0.923 7
纯误差Pure error	1.58	5	0.32
总和Sum	67.04	19

Fig.7 The interaction between the shear modulus of black soldier fly and the rolling friction coefficient of black soldier fly

Fig.8 Comparison of simulation and physical tests

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Calibration of parameters of black soldier fly in discrete method simulation based on response angle of particle heap

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