Journal of Agricultural Science and Technology ›› 2022, Vol. 24 ›› Issue (7): 97-107.DOI: 10.13304/j.nykjdb.2021.0402
• INTELLIGENT AGRICULTURE & AGRICULTURAL MACHINERY • Previous Articles Next Articles
Feixiang LI(), Peng WANG(
), Yunfei WANG, Yuefeng GE, Kaiyi TANG, Dezhi LI
Received:
2021-05-12
Accepted:
2021-07-26
Online:
2022-07-15
Published:
2022-08-15
Contact:
Peng WANG
李飞翔(), 王鹏(
), 王云飞, 葛越锋, 唐凯怿, 李得志
通讯作者:
王鹏
作者简介:
李飞翔 E-mail:lifeixiang147258@163.com;
基金资助:
CLC Number:
Feixiang LI, Peng WANG, Yunfei WANG, Yuefeng GE, Kaiyi TANG, Dezhi LI. Calibration of Discrete Element Parameters of Corn Coated Seeds Based on Stacking Test[J]. Journal of Agricultural Science and Technology, 2022, 24(7): 97-107.
李飞翔, 王鹏, 王云飞, 葛越锋, 唐凯怿, 李得志. 基于堆积试验的玉米包衣种子离散元参数标定[J]. 中国农业科技导报, 2022, 24(7): 97-107.
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URL: https://nkdb.magtechjournal.com/EN/10.13304/j.nykjdb.2021.0402
仿真参数 Simulation parameter | 数值 Value |
---|---|
玉米种子密度 Density of corn seed/(kg·m-3) | 1 197 |
玉米种子泊松比 Poisson’s ratio of corn seed | 0.4 |
玉米种子剪切模量 Shear modulus of corn seed/Pa | 1.37×108 |
玉米种子-玉米种子恢复系数 Corn seed-corn seed restitution coefficient | 0.18~0.36 |
玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | 0.20~0.45 |
玉米种子-玉米种子滚动摩擦系数 Corn seed-corn seed rolling friction coefficient | 0.02~0.08 |
法向刚度 Normal Stiffness /(N·m-3) | 7×107~7×109 |
切向刚度 Shear stiffness /(N·m-3) | 5×107~5×109 |
法向临界应力 Critical normal stress/Pa | 3×106~1×107 |
切向临界应力 Critical shear stress/Pa | 2×106~8×106 |
黏结半径 Bonded disk radius/mm | 0.5~1.0 |
Table 1 Parameter in DEM simulation
仿真参数 Simulation parameter | 数值 Value |
---|---|
玉米种子密度 Density of corn seed/(kg·m-3) | 1 197 |
玉米种子泊松比 Poisson’s ratio of corn seed | 0.4 |
玉米种子剪切模量 Shear modulus of corn seed/Pa | 1.37×108 |
玉米种子-玉米种子恢复系数 Corn seed-corn seed restitution coefficient | 0.18~0.36 |
玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | 0.20~0.45 |
玉米种子-玉米种子滚动摩擦系数 Corn seed-corn seed rolling friction coefficient | 0.02~0.08 |
法向刚度 Normal Stiffness /(N·m-3) | 7×107~7×109 |
切向刚度 Shear stiffness /(N·m-3) | 5×107~5×109 |
法向临界应力 Critical normal stress/Pa | 3×106~1×107 |
切向临界应力 Critical shear stress/Pa | 2×106~8×106 |
黏结半径 Bonded disk radius/mm | 0.5~1.0 |
符号 Symbol | 参数 Parameter | 低水平 Low level | 高水平 High level |
---|---|---|---|
A | 玉米种子-玉米种子恢复系数 Corn seed-corn seed restitution coefficient | 0.18 | 0.36 |
B | 玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | 0.2 | 0.4 |
C | 玉米种子-玉米种子滚动摩擦系数 Corn seed-corn seed rolling friction coefficient | 0.02 | 0.04 |
D | 法向刚度 Normal stiffness/(N·m-3) | 7.0×107 | 1.4×108 |
E | 切向刚度 Shear stiffness /(N·m-3) | 5×107 | 1×108 |
F | 法向临界应力 Critical normal stress/Pa | 3×106 | 6×106 |
G | 切向临界应力 Critical shear stress/Pa | 2×106 | 4×106 |
H | 黏结半径 Bonded disk radius/mm | 0.5 | 1.0 |
V1 | 虚拟参数1 Virtual parameter 1 | -1 | 1 |
V2 | 虚拟参数2 Virtual parameter 2 | -1 | 1 |
V3 | 虚拟参数3 Virtual parameter 3 | -1 | 1 |
Table 2 Parameter of Plackett-Burman test
符号 Symbol | 参数 Parameter | 低水平 Low level | 高水平 High level |
---|---|---|---|
A | 玉米种子-玉米种子恢复系数 Corn seed-corn seed restitution coefficient | 0.18 | 0.36 |
B | 玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | 0.2 | 0.4 |
C | 玉米种子-玉米种子滚动摩擦系数 Corn seed-corn seed rolling friction coefficient | 0.02 | 0.04 |
D | 法向刚度 Normal stiffness/(N·m-3) | 7.0×107 | 1.4×108 |
E | 切向刚度 Shear stiffness /(N·m-3) | 5×107 | 1×108 |
F | 法向临界应力 Critical normal stress/Pa | 3×106 | 6×106 |
G | 切向临界应力 Critical shear stress/Pa | 2×106 | 4×106 |
H | 黏结半径 Bonded disk radius/mm | 0.5 | 1.0 |
V1 | 虚拟参数1 Virtual parameter 1 | -1 | 1 |
V2 | 虚拟参数2 Virtual parameter 2 | -1 | 1 |
V3 | 虚拟参数3 Virtual parameter 3 | -1 | 1 |
序号No. | 参数 Parameter | θ:堆积角Repose angle /(°) | |||||||
---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | F | G | H | ||
1 | 0.36 | 0.2 | 0.04 | 1.4 | 0.50 | 6.0 | 4 | 1.00 | 23.03 |
2 | 0.18 | 0.4 | 0.04 | 0.7 | 1.00 | 6.0 | 4 | 0.50 | 27.07 |
3 | 0.18 | 0.2 | 0.02 | 0.7 | 0.50 | 3.0 | 2 | 0.50 | 25.11 |
4 | 0.36 | 0.4 | 0.02 | 1.4 | 1.00 | 6.0 | 2 | 0.50 | 27.92 |
5 | 0.18 | 0.4 | 0.04 | 1.4 | 0.50 | 3.0 | 2 | 1.00 | 23.63 |
6 | 0.36 | 0.2 | 0.02 | 0.7 | 1.00 | 3.0 | 4 | 1.00 | 25.22 |
7 | 0.18 | 0.2 | 0.04 | 0.7 | 1.00 | 6.0 | 2 | 1.00 | 30.31 |
8 | 0.36 | 0.2 | 0.04 | 1.4 | 1.00 | 3.0 | 2 | 0.50 | 24.62 |
9 | 0.18 | 0.2 | 0.02 | 1.4 | 0.50 | 6.0 | 4 | 0.50 | 22.38 |
10 | 0.18 | 0.4 | 0.02 | 1.4 | 1.00 | 3.0 | 4 | 1.00 | 28.26 |
11 | 0.27 | 0.3 | 0.03 | 1.05 | 0.75 | 4.5 | 3 | 0.75 | 25.97 |
12 | 0.36 | 0.4 | 0.04 | 0.7 | 0.50 | 3.0 | 4 | 0.50 | 28.52 |
13 | 0.36 | 0.4 | 0.02 | 0.7 | 0.50 | 6.0 | 2 | 1.00 | 25.44 |
Table 3 Design and results of Plackett-Burman test
序号No. | 参数 Parameter | θ:堆积角Repose angle /(°) | |||||||
---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | F | G | H | ||
1 | 0.36 | 0.2 | 0.04 | 1.4 | 0.50 | 6.0 | 4 | 1.00 | 23.03 |
2 | 0.18 | 0.4 | 0.04 | 0.7 | 1.00 | 6.0 | 4 | 0.50 | 27.07 |
3 | 0.18 | 0.2 | 0.02 | 0.7 | 0.50 | 3.0 | 2 | 0.50 | 25.11 |
4 | 0.36 | 0.4 | 0.02 | 1.4 | 1.00 | 6.0 | 2 | 0.50 | 27.92 |
5 | 0.18 | 0.4 | 0.04 | 1.4 | 0.50 | 3.0 | 2 | 1.00 | 23.63 |
6 | 0.36 | 0.2 | 0.02 | 0.7 | 1.00 | 3.0 | 4 | 1.00 | 25.22 |
7 | 0.18 | 0.2 | 0.04 | 0.7 | 1.00 | 6.0 | 2 | 1.00 | 30.31 |
8 | 0.36 | 0.2 | 0.04 | 1.4 | 1.00 | 3.0 | 2 | 0.50 | 24.62 |
9 | 0.18 | 0.2 | 0.02 | 1.4 | 0.50 | 6.0 | 4 | 0.50 | 22.38 |
10 | 0.18 | 0.4 | 0.02 | 1.4 | 1.00 | 3.0 | 4 | 1.00 | 28.26 |
11 | 0.27 | 0.3 | 0.03 | 1.05 | 0.75 | 4.5 | 3 | 0.75 | 25.97 |
12 | 0.36 | 0.4 | 0.04 | 0.7 | 0.50 | 3.0 | 4 | 0.50 | 28.52 |
13 | 0.36 | 0.4 | 0.02 | 0.7 | 0.50 | 6.0 | 2 | 1.00 | 25.44 |
参数 Parameter | 效应 Effect | 均方和 Sum of squares | 影响率 Contribution/% | 排序 Ranking |
---|---|---|---|---|
A | -0.335 | 0.336 | 0.51 | 6 |
B | 1.695 | 8.619 | 13.06 | 3 |
C | 0.475 | 0.677 | 1.03 | 4 |
D | 1.972 | 11.662 | 17.67 | 2 |
E | 2.548 | 19.482 | 29.52 | 1 |
F | 0.132 | 0.052 | 0.08 | 7 |
G | -0.425 | 0.542 | 0.82 | 5 |
H | 0.045 | 0.006 | 0.01 | 8 |
Table 4 Analysis of significance of parameters in Plackett-Burman test
参数 Parameter | 效应 Effect | 均方和 Sum of squares | 影响率 Contribution/% | 排序 Ranking |
---|---|---|---|---|
A | -0.335 | 0.336 | 0.51 | 6 |
B | 1.695 | 8.619 | 13.06 | 3 |
C | 0.475 | 0.677 | 1.03 | 4 |
D | 1.972 | 11.662 | 17.67 | 2 |
E | 2.548 | 19.482 | 29.52 | 1 |
F | 0.132 | 0.052 | 0.08 | 7 |
G | -0.425 | 0.542 | 0.82 | 5 |
H | 0.045 | 0.006 | 0.01 | 8 |
序号 No. | H:玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | J:法向刚度 Normal stiffness/(108 N·m-3) | K:切向刚度 Shear stiffness/(108 N·m-3) | h:堆积高度 Stack height/mm | θ:堆积角 Stacking angle/(°) | 相对误差 Relative error/% |
---|---|---|---|---|---|---|
1 | 0.2 | 0.7 | 0.5 | 37.51 | 26.57 | 10.11 |
2 | 0.3 | 18.2 | 13.0 | 43.76 | 30.26 | 2.37 |
3 | 0.4 | 35.7 | 25.5 | 50.76 | 32.39 | 9.57 |
4 | 0.5 | 53.2 | 38.0 | 48.22 | 33.74 | 14.14 |
5 | 0.6 | 70.7 | 50.5 | 49.68 | 34.52 | 16.78 |
Table 5 Design and results of steepest ascent test
序号 No. | H:玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | J:法向刚度 Normal stiffness/(108 N·m-3) | K:切向刚度 Shear stiffness/(108 N·m-3) | h:堆积高度 Stack height/mm | θ:堆积角 Stacking angle/(°) | 相对误差 Relative error/% |
---|---|---|---|---|---|---|
1 | 0.2 | 0.7 | 0.5 | 37.51 | 26.57 | 10.11 |
2 | 0.3 | 18.2 | 13.0 | 43.76 | 30.26 | 2.37 |
3 | 0.4 | 35.7 | 25.5 | 50.76 | 32.39 | 9.57 |
4 | 0.5 | 53.2 | 38.0 | 48.22 | 33.74 | 14.14 |
5 | 0.6 | 70.7 | 50.5 | 49.68 | 34.52 | 16.78 |
序号 No. | H:玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | J:法向刚度 Normal stiffness/ (108 N·m-3) | K:切向刚度 Shear stiffness/ (108 N·m-3) | θ:堆积角 Stacking angle/(°) |
---|---|---|---|---|
1 | 0.3 | 18.2 | 13 | 31.12 |
2 | 0.4 | 18.2 | 25.5 | 33.61 |
3 | 0.2 | 0.7 | 13 | 26.57 |
4 | 0.4 | 35.7 | 13 | 31.56 |
5 | 0.2 | 35.7 | 13 | 24.23 |
6 | 0.3 | 35.7 | 0.5 | 30.25 |
7 | 0.2 | 18.2 | 0.5 | 27.14 |
8 | 0.3 | 0.7 | 25.5 | 32.56 |
9 | 0.4 | 0.7 | 13 | 32.87 |
10 | 0.3 | 0.7 | 0.5 | 33.53 |
11 | 0.3 | 18.2 | 13 | 31.08 |
12 | 0.3 | 18.2 | 13 | 31.06 |
13 | 0.3 | 35.7 | 25.5 | 32.36 |
14 | 0.2 | 18.2 | 25.5 | 27.65 |
15 | 0.4 | 18.2 | 0.5 | 33.31 |
Table 6 Design and results of Box-Behnken test
序号 No. | H:玉米种子-玉米种子静摩擦系数 Corn seed-corn seed static friction coefficient | J:法向刚度 Normal stiffness/ (108 N·m-3) | K:切向刚度 Shear stiffness/ (108 N·m-3) | θ:堆积角 Stacking angle/(°) |
---|---|---|---|---|
1 | 0.3 | 18.2 | 13 | 31.12 |
2 | 0.4 | 18.2 | 25.5 | 33.61 |
3 | 0.2 | 0.7 | 13 | 26.57 |
4 | 0.4 | 35.7 | 13 | 31.56 |
5 | 0.2 | 35.7 | 13 | 24.23 |
6 | 0.3 | 35.7 | 0.5 | 30.25 |
7 | 0.2 | 18.2 | 0.5 | 27.14 |
8 | 0.3 | 0.7 | 25.5 | 32.56 |
9 | 0.4 | 0.7 | 13 | 32.87 |
10 | 0.3 | 0.7 | 0.5 | 33.53 |
11 | 0.3 | 18.2 | 13 | 31.08 |
12 | 0.3 | 18.2 | 13 | 31.06 |
13 | 0.3 | 35.7 | 25.5 | 32.36 |
14 | 0.2 | 18.2 | 25.5 | 27.65 |
15 | 0.4 | 18.2 | 0.5 | 33.31 |
方差来源 Soruce of variation | 均方 Mean square | 自由度 Freedom | 平方和 Quadratic sum | F值 F value | P值 P value |
---|---|---|---|---|---|
R2=0.997 4 RAdj2=0.992 8 Predicted R2=0.958 9 CV=0.801% Adep precision=46.973 | |||||
模型Model | 116.03 | 9 | 12.89 | 214.62 | < 0.000 1 |
H | 82.95 | 1 | 82.95 | 1 380.88 | < 0.000 1 |
J | 6.35 | 1 | 6.35 | 105.79 | 0.000 1 |
K | 0.475 3 | 1 | 0.475 3 | 7.91 | 0.037 4 |
HJ | 0.265 2 | 1 | 0.265 2 | 4.42 | 0.089 6 |
HK | 0.011 0 | 1 | 0.011 0 | 0.183 5 | 0.686 2 |
JK | 2.37 | 1 | 2.37 | 39.48 | 0.001 5 |
H2 | 14.97 | 1 | 14.97 | 249.16 | <0.000 1 |
J2 | 0.260 9 | 1 | 0.260 9 | 4.34 | 0.091 6 |
K2 | 6.77 | 1 | 6.77 | 112.72 | 0.000 1 |
残差 Residual | 0.300 3 | 5 | 0.060 1 | ||
失拟项 Lack of fit | 0.298 5 | 3 | 0.099 5 | 106.60 | 0.093 |
纯误差Pure error | 0.001 9 | 2 | 0.000 9 | ||
总和Sum | 116.33 | 14 |
Table 7 ANOVA of quadraticl of Box-Behnken test
方差来源 Soruce of variation | 均方 Mean square | 自由度 Freedom | 平方和 Quadratic sum | F值 F value | P值 P value |
---|---|---|---|---|---|
R2=0.997 4 RAdj2=0.992 8 Predicted R2=0.958 9 CV=0.801% Adep precision=46.973 | |||||
模型Model | 116.03 | 9 | 12.89 | 214.62 | < 0.000 1 |
H | 82.95 | 1 | 82.95 | 1 380.88 | < 0.000 1 |
J | 6.35 | 1 | 6.35 | 105.79 | 0.000 1 |
K | 0.475 3 | 1 | 0.475 3 | 7.91 | 0.037 4 |
HJ | 0.265 2 | 1 | 0.265 2 | 4.42 | 0.089 6 |
HK | 0.011 0 | 1 | 0.011 0 | 0.183 5 | 0.686 2 |
JK | 2.37 | 1 | 2.37 | 39.48 | 0.001 5 |
H2 | 14.97 | 1 | 14.97 | 249.16 | <0.000 1 |
J2 | 0.260 9 | 1 | 0.260 9 | 4.34 | 0.091 6 |
K2 | 6.77 | 1 | 6.77 | 112.72 | 0.000 1 |
残差 Residual | 0.300 3 | 5 | 0.060 1 | ||
失拟项 Lack of fit | 0.298 5 | 3 | 0.099 5 | 106.60 | 0.093 |
纯误差Pure error | 0.001 9 | 2 | 0.000 9 | ||
总和Sum | 116.33 | 14 |
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