Journal of Agricultural Science and Technology ›› 2022, Vol. 24 ›› Issue (5): 119-128.DOI: 10.13304/j.nykjdb.2021.0363
• INTELLIGENT AGRICULTURE & AGRICULTURAL MACHINERY • Previous Articles Next Articles
Jianwei YAN(), Song WEI(
), Dongjun HU, Qihe LIU, Fuigui ZHANG
Received:
2021-04-30
Accepted:
2021-07-27
Online:
2022-05-15
Published:
2022-06-06
Contact:
Song WEI
通讯作者:
魏松
作者简介:
闫建伟 E-mail:jwyan@gzu.edu.cn;
基金资助:
CLC Number:
Jianwei YAN, Song WEI, Dongjun HU, Qihe LIU, Fuigui ZHANG. Parameter Calibration of Radish Seeds with Different Filling Particle Radius by DEM[J]. Journal of Agricultural Science and Technology, 2022, 24(5): 119-128.
闫建伟, 魏松, 胡冬军, 刘启合, 张富贵. 白萝卜种子颗粒模型离散元接触参数标定与试验[J]. 中国农业科技导报, 2022, 24(5): 119-128.
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URL: https://nkdb.magtechjournal.com/EN/10.13304/j.nykjdb.2021.0363
参数 Parameter | 数值 Value |
---|---|
白萝卜种子泊松比 White radish seeds poisson's ratio | 0.36 |
白萝卜种子剪切模量 Shear modulus of radish seed/Pa | 1.43×107 |
白萝卜种子的密度 Density of white radish seeds/(kg·m-3) | 1 100 |
有机玻璃泊松比 Perspex poisson ratio | 0.5 |
有机玻璃剪切模量/Pa Shear modulus of perspex/Pa | 1.77×108 |
有机玻璃密度/(kg·m-3) Density of perspex/ (kg·m-3) | 1 180 |
白萝卜种子-有机玻璃碰撞系数 Collision coefficient of turnip seed-perspex | 0.25~0.50 |
白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | 0.20~0.60 |
白萝卜种子-有机玻璃滚动摩擦系数 Coefficient of rolling friction of turnip seed-perspex | 0.005~0.020 |
白萝卜种子-白萝卜种子碰撞系数 Collision coefficient of white radish seed-white radish seed | 0.10~0.30 |
白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed | 0.20~0.60 |
白萝卜种子-白萝卜种子滚动摩擦系数 Coefficient of rolling friction of white radish seed-white radish | 0.005~0.030 |
Table 1 Parameter in simulation experiment
参数 Parameter | 数值 Value |
---|---|
白萝卜种子泊松比 White radish seeds poisson's ratio | 0.36 |
白萝卜种子剪切模量 Shear modulus of radish seed/Pa | 1.43×107 |
白萝卜种子的密度 Density of white radish seeds/(kg·m-3) | 1 100 |
有机玻璃泊松比 Perspex poisson ratio | 0.5 |
有机玻璃剪切模量/Pa Shear modulus of perspex/Pa | 1.77×108 |
有机玻璃密度/(kg·m-3) Density of perspex/ (kg·m-3) | 1 180 |
白萝卜种子-有机玻璃碰撞系数 Collision coefficient of turnip seed-perspex | 0.25~0.50 |
白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | 0.20~0.60 |
白萝卜种子-有机玻璃滚动摩擦系数 Coefficient of rolling friction of turnip seed-perspex | 0.005~0.020 |
白萝卜种子-白萝卜种子碰撞系数 Collision coefficient of white radish seed-white radish seed | 0.10~0.30 |
白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed | 0.20~0.60 |
白萝卜种子-白萝卜种子滚动摩擦系数 Coefficient of rolling friction of white radish seed-white radish | 0.005~0.030 |
参数 Parameter | 水平 Level | |
---|---|---|
-1 | 1 | |
x1:白萝卜种子-有机玻璃碰撞系数 Collision coefficient of turnip seed-perspex | 0.250 | 0.500 |
x2:白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | 0.200 | 0.400 |
x3:白萝卜种子-有机玻璃滚动摩擦系数 Coefficient of rolling friction of turnip seed-organic glas | 0.005 | 0.010 |
x4:白萝卜种子-白萝卜种子碰撞系数 Collision coefficient of white radish seed-white radish seed | 0.100 | 0.200 |
x5:白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed | 0.200 | 0.400 |
x6:白萝卜种子-白萝卜种子滚动摩擦系数 Coefficient of rolling friction of white radish seed-white radish | 0.005 | 0.010 |
Table 2 Parameter of Plackett-Burman test
参数 Parameter | 水平 Level | |
---|---|---|
-1 | 1 | |
x1:白萝卜种子-有机玻璃碰撞系数 Collision coefficient of turnip seed-perspex | 0.250 | 0.500 |
x2:白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | 0.200 | 0.400 |
x3:白萝卜种子-有机玻璃滚动摩擦系数 Coefficient of rolling friction of turnip seed-organic glas | 0.005 | 0.010 |
x4:白萝卜种子-白萝卜种子碰撞系数 Collision coefficient of white radish seed-white radish seed | 0.100 | 0.200 |
x5:白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed | 0.200 | 0.400 |
x6:白萝卜种子-白萝卜种子滚动摩擦系数 Coefficient of rolling friction of white radish seed-white radish | 0.005 | 0.010 |
水平 Level | x2:白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | x5:白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed |
---|---|---|
-1 | 0.40 | 0.35 |
0 | 0.50 | 0.45 |
1 | 0.60 | 0.55 |
Table 3 Factors and codes of Box-Behnken test
水平 Level | x2:白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | x5:白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed |
---|---|---|
-1 | 0.40 | 0.35 |
0 | 0.50 | 0.45 |
1 | 0.60 | 0.55 |
半径 Radius/mm | 数量 Number |
---|---|
0.10 | 2 461 |
0.15 | 728 |
0.20 | 298 |
0.25 | 155 |
0.30 | 79 |
0.35 | 56 |
Table 4 Radius and quantity of filling balls corresponding to white radish seed simulation model
半径 Radius/mm | 数量 Number |
---|---|
0.10 | 2 461 |
0.15 | 728 |
0.20 | 298 |
0.25 | 155 |
0.30 | 79 |
0.35 | 56 |
试验 Test | θ:堆积角 Accumulation angle /(°) |
---|---|
T1 | 26.96 |
T2 | 27.54 |
T3 | 27.87 |
T4 | 28.21 |
T5 | 28.82 |
平均Mean | 27.88 |
Table 5 Measurement results of natural stacking angle
试验 Test | θ:堆积角 Accumulation angle /(°) |
---|---|
T1 | 26.96 |
T2 | 27.54 |
T3 | 27.87 |
T4 | 28.21 |
T5 | 28.82 |
平均Mean | 27.88 |
序号 Code | x1 | x2 | x3 | x4 | x5 | x6 | θ:堆积角 Accumulation angle/(°) |
---|---|---|---|---|---|---|---|
1 | 1 | 1 | -1 | -1 | -1 | 1 | 26.81 |
2 | -1 | -1 | -1 | -1 | -1 | -1 | 32.91 |
3 | 1 | 1 | 1 | -1 | -1 | -1 | 27.71 |
4 | 1 | 1 | -1 | 1 | 1 | 1 | 23.46 |
5 | 1 | -1 | 1 | 1 | -1 | 1 | 30.16 |
6 | -1 | 1 | 1 | 1 | -1 | -1 | 28.59 |
7 | 1 | -1 | -1 | -1 | 1 | -1 | 25.83 |
8 | -1 | 1 | 1 | -1 | 1 | 1 | 20.71 |
9 | -1 | 1 | -1 | 1 | 1 | -1 | 26.46 |
10 | -1 | -1 | 1 | -1 | 1 | 1 | 24.07 |
11 | 1 | -1 | 1 | 1 | 1 | -1 | 27.68 |
12 | -1 | -1 | -1 | 1 | -1 | 1 | 29.93 |
Table 6 Design and results of Plackett-Burman test
序号 Code | x1 | x2 | x3 | x4 | x5 | x6 | θ:堆积角 Accumulation angle/(°) |
---|---|---|---|---|---|---|---|
1 | 1 | 1 | -1 | -1 | -1 | 1 | 26.81 |
2 | -1 | -1 | -1 | -1 | -1 | -1 | 32.91 |
3 | 1 | 1 | 1 | -1 | -1 | -1 | 27.71 |
4 | 1 | 1 | -1 | 1 | 1 | 1 | 23.46 |
5 | 1 | -1 | 1 | 1 | -1 | 1 | 30.16 |
6 | -1 | 1 | 1 | 1 | -1 | -1 | 28.59 |
7 | 1 | -1 | -1 | -1 | 1 | -1 | 25.83 |
8 | -1 | 1 | 1 | -1 | 1 | 1 | 20.71 |
9 | -1 | 1 | -1 | 1 | 1 | -1 | 26.46 |
10 | -1 | -1 | 1 | -1 | 1 | 1 | 24.07 |
11 | 1 | -1 | 1 | 1 | 1 | -1 | 27.68 |
12 | -1 | -1 | -1 | 1 | -1 | 1 | 29.93 |
参数 Parameter | 效应 Effect | 均方和 Sum of mean square | ||
---|---|---|---|---|
模型Model | — | 114.17 | 18.33 | 0.002 9** |
x1 | -0.17 | 0.087 | 0.084 | 0.784 2 |
x2 | -2.81 | 23.63 | 22.76 | 0.005 0** |
x3 | -1.08 | 3.50 | 3.37 | 0.125 8 |
x4 | 1.37 | 5.66 | 5.45 | 0.066 8 |
x5 | -4.65 | 64.87 | 62.48 | 0.000 5** |
x6 | -2.34 | 16.43 | 15.82 | 0.010 6* |
Table 7 Analysis of parameters of significance
参数 Parameter | 效应 Effect | 均方和 Sum of mean square | ||
---|---|---|---|---|
模型Model | — | 114.17 | 18.33 | 0.002 9** |
x1 | -0.17 | 0.087 | 0.084 | 0.784 2 |
x2 | -2.81 | 23.63 | 22.76 | 0.005 0** |
x3 | -1.08 | 3.50 | 3.37 | 0.125 8 |
x4 | 1.37 | 5.66 | 5.45 | 0.066 8 |
x5 | -4.65 | 64.87 | 62.48 | 0.000 5** |
x6 | -2.34 | 16.43 | 15.82 | 0.010 6* |
序号 Code | x2 | x5 | θ':堆积角 Accumulation angle/(°) |
---|---|---|---|
1 | 0 | -1 | 26.95 |
2 | 0 | 0 | 28.48 |
3 | 0 | 0 | 27.98 |
4 | 1 | 1 | 32.08 |
5 | 1 | 0 | 29.95 |
6 | 1 | -1 | 28.58 |
7 | 0 | 0 | 27.55 |
8 | 0 | 0 | 28.05 |
9 | -1 | 1 | 28.32 |
10 | 1 | 0 | 29.85 |
11 | 0 | 1 | 30.02 |
12 | 0 | 0 | 28.10 |
13 | 0 | 1 | 29.88 |
14 | 0 | -1 | 27.82 |
15 | -1 | 0 | 25.71 |
16 | -1 | -1 | 23.70 |
17 | -1 | 0 | 26.10 |
Table 8 Design and results of Box-Behnken test
序号 Code | x2 | x5 | θ':堆积角 Accumulation angle/(°) |
---|---|---|---|
1 | 0 | -1 | 26.95 |
2 | 0 | 0 | 28.48 |
3 | 0 | 0 | 27.98 |
4 | 1 | 1 | 32.08 |
5 | 1 | 0 | 29.95 |
6 | 1 | -1 | 28.58 |
7 | 0 | 0 | 27.55 |
8 | 0 | 0 | 28.05 |
9 | -1 | 1 | 28.32 |
10 | 1 | 0 | 29.85 |
11 | 0 | 1 | 30.02 |
12 | 0 | 0 | 28.10 |
13 | 0 | 1 | 29.88 |
14 | 0 | -1 | 27.82 |
15 | -1 | 0 | 25.71 |
16 | -1 | -1 | 23.70 |
17 | -1 | 0 | 26.10 |
方差来源 Source of variance | 均方和 Sum of squares | 自由度 Degree of freedom | 平方和 Mean square | F | P |
---|---|---|---|---|---|
模型 | 58.05 | 5 | 11.61 | 57.46 | <0.000 1** |
x2 | 34.57 | 1 | 34.57 | 171.07 | <0.000 1** |
x5 | 21.95 | 1 | 21.95 | 108.60 | <0.000 1** |
x2x5 | 0.31 | 1 | 0.31 | 1.55 | 0.238 7 |
x22 | 0.39 | 1 | 0.39 | 1.93 | 0.192 4 |
x55 | 0.90 | 1 | 0.90 | 4.44 | 0.058 8 |
残差Residual | 2.22 | 11 | 0.20 | — | — |
失拟Lack of fit | 1.31 | 3 | 0.44 | 3.85 | 0.056 6 |
误差Pure error | 0.91 | 8 | 0.11 | — | — |
总和Cor total | 60.28 | 16 | — | — | — |
R2=0.963 1 | R2Adj=0.946 4 | CV=1.60% | AP=27.971 |
Table 9 Anova of modified model of Box-Behnken
方差来源 Source of variance | 均方和 Sum of squares | 自由度 Degree of freedom | 平方和 Mean square | F | P |
---|---|---|---|---|---|
模型 | 58.05 | 5 | 11.61 | 57.46 | <0.000 1** |
x2 | 34.57 | 1 | 34.57 | 171.07 | <0.000 1** |
x5 | 21.95 | 1 | 21.95 | 108.60 | <0.000 1** |
x2x5 | 0.31 | 1 | 0.31 | 1.55 | 0.238 7 |
x22 | 0.39 | 1 | 0.39 | 1.93 | 0.192 4 |
x55 | 0.90 | 1 | 0.90 | 4.44 | 0.058 8 |
残差Residual | 2.22 | 11 | 0.20 | — | — |
失拟Lack of fit | 1.31 | 3 | 0.44 | 3.85 | 0.056 6 |
误差Pure error | 0.91 | 8 | 0.11 | — | — |
总和Cor total | 60.28 | 16 | — | — | — |
R2=0.963 1 | R2Adj=0.946 4 | CV=1.60% | AP=27.971 |
填充颗粒半径 Filling radius/mm | x2:白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | x5:白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed |
---|---|---|
0.35 | 0.57 | 0.55 |
0.30 | 0.53 | 0.39 |
0.25 | 0.49 | 0.36 |
0.20 | 0.47 | 0.36 |
0.15 | 0.46 | 0.35 |
0.10 | 0.44 | 0.33 |
Table 10 Calibration of contact parameters of radish with different filling radius using discrete element model
填充颗粒半径 Filling radius/mm | x2:白萝卜种子-有机玻璃静摩擦系数 Static friction coefficient of turnip seed-perspex | x5:白萝卜种子-白萝卜种子静摩擦系数 Static friction coefficient of white radish seed-white radish seed |
---|---|---|
0.35 | 0.57 | 0.55 |
0.30 | 0.53 | 0.39 |
0.25 | 0.49 | 0.36 |
0.20 | 0.47 | 0.36 |
0.15 | 0.46 | 0.35 |
0.10 | 0.44 | 0.33 |
填充半径 Fill radius/mm | 堆积角平均值 Accumulation angle average/(°) | 相对误差率 Relative error rate/% | 仿真时间 Simulation time/h |
---|---|---|---|
0.35 | 33.50 | 20.16 | 3.86 |
0.30 | 31.81 | 14.10 | 4.94 |
0.25 | 28.86 | 3.51 | 7.66 |
0.20 | 28.24 | 1.29 | 10.96 |
0.15 | 28.35 | 1.69 | 18.65 |
0.10 | 28.04 | 0.57 | 35.63 |
Table 11 Simulation and real test results of particle discrete element model with different filling radius
填充半径 Fill radius/mm | 堆积角平均值 Accumulation angle average/(°) | 相对误差率 Relative error rate/% | 仿真时间 Simulation time/h |
---|---|---|---|
0.35 | 33.50 | 20.16 | 3.86 |
0.30 | 31.81 | 14.10 | 4.94 |
0.25 | 28.86 | 3.51 | 7.66 |
0.20 | 28.24 | 1.29 | 10.96 |
0.15 | 28.35 | 1.69 | 18.65 |
0.10 | 28.04 | 0.57 | 35.63 |
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