蚕豆种子离散元模型仿真参数标定

王月华; 贺俊林; 杨虎虎; 郭彦汐; 卢家宣

doi:10.19998/j.cnki.2095-1795.2023.01.015

蚕豆种子离散元模型仿真参数标定

doi: 10.19998/j.cnki.2095-1795.2023.01.015

山西农业大学农业工程学院，山西晋中 030801

基金项目: 山西农业大学科技创新基金项目（Zdpy201802）；山西农业大学科技创新基金项目（Zdpy201906）

详细信息

作者简介:
王月华，硕士生，主要从事旱作农业机械化关键技术与装备研究　E-mail：wyh_htytx@163.com

贺俊林，通信作者，教授，博士生导师，主要从事旱作农业机械化关键技术与装备研究E-mail：hejunlin26@126.com

中图分类号: S225
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- 被引次数: 0
出版历程
- 收稿日期: 2022-09-29
- 修回日期: 2022-11-14
- 出版日期: 2023-01-20

Simulation Parameter Calibration of Broad Bean Seed Discrete Element Model

College of Agricultural Engineering，Shanxi Agricultural University，Jinzhong Shanxi 030801，China

摘要

摘要:
为确定蚕豆种子离散元模型仿真参数，采用基本球单元组合方法建立蚕豆种子离散元模型。通过物理试验测定蚕豆种子与钢板间接触参数，在EDEM软件中对蚕豆种子离散元仿真参数进行标定，得到蚕豆种子与钢板间碰撞恢复系数为0.46、静摩擦系数为0.437和滚动摩擦系数为0.053。以种间接触参数为因素，以实测堆积角与仿真堆积角相对误差为指标，进行最陡爬坡试验、3因素二次正交旋转组合设计试验，得到蚕豆种间碰撞恢复系数为0.25、静摩擦系数为0.53和滚动摩擦系数为0.083。利用最佳参数组合进行仿真试验，蚕豆种子堆积角实测值与仿真值的相对误差为1.1%。结果表明，标定的仿真接触参数可用于蚕豆种子颗粒的离散元仿真。
- 蚕豆种子 /
- 离散元模型 /
- 仿真参数标定 /
- 堆积角
Abstract:
In order to determine simulation parameters of discrete element model of broad bean seeds, discrete element model of broad bean seeds was established by using basic ball element combination method．Contact parameters between broad bean seeds and steel plate were measured by physical test．Discrete element simulation parameters of broad bean seeds were calibrated in EDEM software．Collision recovery coefficient between broad bean seeds and steel plate was 0.46, static friction coefficient was 0.437, and rolling friction coefficient was 0.053．Taking interspecies contact parameters as factors, relative error between measured accumulation angle and simulated accumulation angle as index, steepest climbing test and three-factor quadratic orthogonal rotation combination design test were carried out．Collision recovery coefficient of broad bean was 0.25, static friction coefficient was 0.53, and rolling friction coefficient was 0.083．Simulation test was carried out by using the best parameter combination, and relative error between measured value and simulated value of seed accumulation angle of broad bean was 1.1%．Results showed that calibrated contact parameters could be used for discrete element simulation of broad bean seeds．
- broad bean seeds /
- discrete element model /
- simulation parameter calibration /
- stacking angle

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图 1 蚕豆种子颗粒及离散元模型

Figure 1. Broad bean seed particle and discrete element model

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图 2 碰撞恢复系数标定

Figure 2. Collision recovery coefficient calibration

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图 3 碰撞恢复系数与弹起最大高度拟合曲线

Figure 3. Fitting curve of collision recovery coefficient and maximum bounce height

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图 4 静摩擦系数标定

Figure 4. Static friction coefficient calibration

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图 5 静摩擦系数与倾斜角拟合曲线

Figure 5. Fitting curve of static friction coefficient and inclination angle

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图 6 滚动摩擦系数标定

Figure 6. Rolling friction coefficient calibration

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图 7 滚动摩擦系数与水平滚动距离拟合曲线

Figure 7. Fitting curve of rolling friction coefficient and horizontal rolling distance

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图 8 蚕豆种子堆积角试验

Figure 8. Experiment on accumulation angle of broad bean seed

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图 9 堆积角图像处理

Figure 9. Stacking angle image processing

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图 10 蚕豆仿真堆积角试验

Figure 10. Simulation accumulation angle test of broad bean

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表 1 蚕豆种子、钢板本征参数

Table 1. Broad bean seeds and steel intrinsic parameters

材料	泊松比	剪切模量/MPa	密度/（kg·m⁻³）
蚕豆种子	0.35	39.11	1 215
钢板	0.30	700.00	7 800

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表 2 最陡爬坡试验方案及结果

Table 2. Steepest climb test scheme and result

序号	试验因素			试验结果
序号	碰撞恢复系数x₁	静摩擦系数x₂	滚动摩擦系数x₃	ψ/（°）	δ/%
1	0.10	0.38	0.045	21.41	30.69
2	0.15	0.41	0.055	23.63	23.50
3	0.20	0.44	0.065	26.74	13.43
4	0.25	0.47	0.075	28.53	7.64
5	0.30	0.50	0.085	30.10	2.56
6	0.35	0.53	0.095	34.73	12.43

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表 3 仿真试验因素编码

Table 3. Simulation test factor codes

编码	试验因素
编码	碰撞恢复系数x₁	静摩擦系数x₂	滚动摩擦系数x₃
−2	0.20	0.44	0.065
−1	0.25	0.47	0.075
0	0.30	0.50	0.085
1	0.35	0.53	0.095
2	0.40	0.56	0.105

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表 4 试验方案与结果

Table 4. Experimental protocol and results

编号	因素			δ/%
编号	A	B	C	δ/%
1	0.25	0.47	0.075	9.37
2	0.35	0.47	0.075	3.53
3	0.25	0.53	0.075	3.48
4	0.35	0.53	0.075	9.49
5	0.25	0.47	0.095	10.31
6	0.35	0.47	0.095	6.82
7	0.25	0.53	0.095	4.82
8	0.35	0.53	0.095	11.89
9	0.20	0.50	0.085	7.25
10	0.40	0.50	0.085	10.58
11	0.30	0.44	0.085	6.73
12	0.30	0.56	0.085	7.54
13	0.30	0.50	0.065	6.84
14	0.30	0.50	0.105	11.92
15	0.30	0.50	0.085	4.26
16	0.30	0.50	0.085	2.66
17	0.30	0.50	0.085	5.01
18	0.30	0.50	0.085	3.58
19	0.30	0.50	0.085	3.48
20	0.30	0.50	0.085	3.08
21	0.30	0.50	0.085	4.32
22	0.30	0.50	0.085	3.89
23	0.30	0.50	0.085	4.51

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表 5 回归方程方差分析

Table 5. Variance analysis of regression equation

来源	平方和	自由度	均方	F	P
模型	189.80	9	21.09	47.64	< 0.0001**
A-A	86.30	1	86.30	194.96	< 0.0001**
B-B	36.37	1	36.37	82.16	< 0.0001**
C-C	11.71	1	11.71	26.46	0.0002**
AB	62.78	1	62.78	141.81	< 0.0001**
AC	1.45	1	1.45	3.28	0.0931
BC	0.030	1	0.030	0.068	0.7986
A²	45.87	1	45.87	103.62	< 0.0001**
B²	19.48	1	19.48	44.00	< 0.0001**
C²	54.60	1	54.60	123.33	< 0.0001**
失拟项	1.37	5	0.27	0.50	0.7704
注：**表示差异极显著。

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