Journal of Agricultural Science and Technology ›› 2023, Vol. 25 ›› Issue (3): 96-106.DOI: 10.13304/j.nykjdb.2022.0725
• INTELLIGENT AGRICULTURE & AGRICULTURAL MACHINERY • Previous Articles Next Articles
Hongbo WANG(), Zhipeng FAN, Wulantuya, Chunguang WANG, Zhe MA
Received:
2022-08-31
Accepted:
2022-10-24
Online:
2023-03-15
Published:
2023-05-22
作者简介:
王洪波 E⁃mail:wanghb@imau.edu.cn
基金资助:
CLC Number:
Hongbo WANG, Zhipeng FAN, Wulantuya, Chunguang WANG, Zhe MA. Parameter Calibration of Discrete Element Model for Simulation of Crushed Corn Stalk Screw Conveying[J]. Journal of Agricultural Science and Technology, 2023, 25(3): 96-106.
王洪波, 樊志鹏, 乌兰图雅, 王春光, 马哲. 揉碎玉米秸秆螺旋输送仿真离散元模型参数标定[J]. 中国农业科技导报, 2023, 25(3): 96-106.
Fig. 1 Determination of elastic modulus of straw core and leafA: Shear test of straw core; B: Shear test of leaves; 1—Texture analyzer cutter; 2—Straw core; 3—Bottom plate; 4—Leaf
Fig. 2 Shear modulus determination of straw core and leafA: Shear test of straw core; B: Shear test of leaves; 1—Texture analyzer cutter; 2—Straw core; 3—Bottom plate; 4—Leaf
对象 Object | 静摩擦系数 Static friction coefficient | 滚动摩擦系数 Rolling friction coefficient | 碰撞恢复系数 Collision restitution coefficient | ||||||
---|---|---|---|---|---|---|---|---|---|
穰 Straw core | 叶 Leaf | 皮 Skin | 穰 Straw core | 叶 Leaf | 皮 Skin | 穰 Straw core | 叶 Leaf | 皮 Skin | |
穰 Straw core | 2.25~3.08 | 0.23~0.36 | 0.36~0.42 | ||||||
叶 Leaf | 0.75~1.04 | 0.31~0.40 | 0.27~0.36 | 0.29~0.38 | 0.29~0.38 | 0.29~0.40 | |||
皮 Skin | 0.78~1.04 | 0.31~0.40 | 0.62~0.75 | 0.31~0.38 | 0.29~0.42 | 0.27~0.32 | 0.36~0.43 | 0.36~0.41 | 0.33~0.43 |
45钢 45 steel | 1.00~1.07 | 0.36~0.40 | 0.31~0.34 | 0.31~0.42 | 0.18~0.25 | 0.25~0.29 | 0.37~0.46 | 0.36~0.43 | 0.40~0.45 |
Table 1 Static friction coefficient, rolling friction coefficient and collision restitution coefficient between objects
对象 Object | 静摩擦系数 Static friction coefficient | 滚动摩擦系数 Rolling friction coefficient | 碰撞恢复系数 Collision restitution coefficient | ||||||
---|---|---|---|---|---|---|---|---|---|
穰 Straw core | 叶 Leaf | 皮 Skin | 穰 Straw core | 叶 Leaf | 皮 Skin | 穰 Straw core | 叶 Leaf | 皮 Skin | |
穰 Straw core | 2.25~3.08 | 0.23~0.36 | 0.36~0.42 | ||||||
叶 Leaf | 0.75~1.04 | 0.31~0.40 | 0.27~0.36 | 0.29~0.38 | 0.29~0.38 | 0.29~0.40 | |||
皮 Skin | 0.78~1.04 | 0.31~0.40 | 0.62~0.75 | 0.31~0.38 | 0.29~0.42 | 0.27~0.32 | 0.36~0.43 | 0.36~0.41 | 0.33~0.43 |
45钢 45 steel | 1.00~1.07 | 0.36~0.40 | 0.31~0.34 | 0.31~0.42 | 0.18~0.25 | 0.25~0.29 | 0.37~0.46 | 0.36~0.43 | 0.40~0.45 |
代号 Code | 仿真参数 Simulation parameter | 水平 Level | 代号 Code | 仿真参数 Simulation parameter | 水平 Level | ||
---|---|---|---|---|---|---|---|
-1 | +1 | -1 | +1 | ||||
A | 穰-穰静摩擦系数 Straw corestraw core static friction coefficient | 2.14 | 3.27 | G | 皮-皮静摩擦系数 Skinskin static friction coefficient | 0.58 | 0.75 |
B | 穰-穰滚动摩擦系数 Straw corestraw core rolling friction coefficient | 0.23 | 0.47 | H | 皮-叶静摩擦系数 Skinlesf static friction coefficient | 0.31 | 0.45 |
C | 穰-皮静摩擦系数 Straw coreskin static friction coefficient | 0.73 | 1.07 | I | 皮-叶滚动摩擦系数 Skinlesf rolling friction coefficient | 0.29 | 0.45 |
D | 穰-皮碰撞恢复系数 Straw coreskin collision restitution coefficient | 0.33 | 0.47 | J | 叶-叶静摩擦系数 Lesflesf static friction coefficient | 0.31 | 0.45 |
E | 穰-叶静摩擦系数 Straw corelesf static friction coefficient | 0.75 | 1.11 | K | 叶-叶碰撞恢复系数 Lesflesf collision restitution coefficient | 0.27 | 0.40 |
F | 穰-叶滚动摩擦系数 Straw corelesf rolling friction coefficient | 0.25 | 0.42 |
Table 4 Plackett-Buman test parameters table
代号 Code | 仿真参数 Simulation parameter | 水平 Level | 代号 Code | 仿真参数 Simulation parameter | 水平 Level | ||
---|---|---|---|---|---|---|---|
-1 | +1 | -1 | +1 | ||||
A | 穰-穰静摩擦系数 Straw corestraw core static friction coefficient | 2.14 | 3.27 | G | 皮-皮静摩擦系数 Skinskin static friction coefficient | 0.58 | 0.75 |
B | 穰-穰滚动摩擦系数 Straw corestraw core rolling friction coefficient | 0.23 | 0.47 | H | 皮-叶静摩擦系数 Skinlesf static friction coefficient | 0.31 | 0.45 |
C | 穰-皮静摩擦系数 Straw coreskin static friction coefficient | 0.73 | 1.07 | I | 皮-叶滚动摩擦系数 Skinlesf rolling friction coefficient | 0.29 | 0.45 |
D | 穰-皮碰撞恢复系数 Straw coreskin collision restitution coefficient | 0.33 | 0.47 | J | 叶-叶静摩擦系数 Lesflesf static friction coefficient | 0.31 | 0.45 |
E | 穰-叶静摩擦系数 Straw corelesf static friction coefficient | 0.75 | 1.11 | K | 叶-叶碰撞恢复系数 Lesflesf collision restitution coefficient | 0.27 | 0.40 |
F | 穰-叶滚动摩擦系数 Straw corelesf rolling friction coefficient | 0.25 | 0.42 |
序号 No. | A | B | C | D | E | F | G | H | I | J | K | 堆积角 Stacking angle/(°) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 34.03 |
2 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 32.21 |
3 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 31.76 |
4 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 25.26 |
5 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | 33.59 |
6 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 35.07 |
7 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 34.07 |
8 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 26.39 |
9 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 27.17 |
10 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | 32.22 |
11 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 28.77 |
12 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 27.16 |
Table 5 Plackett-Burman trial design and results
序号 No. | A | B | C | D | E | F | G | H | I | J | K | 堆积角 Stacking angle/(°) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 34.03 |
2 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 32.21 |
3 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 31.76 |
4 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 25.26 |
5 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | 33.59 |
6 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 35.07 |
7 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 34.07 |
8 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 26.39 |
9 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 27.17 |
10 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | 32.22 |
11 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 28.77 |
12 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 27.16 |
参数 Parameter | 调整后的偏差平方和 Adjusted sum of squared deviations | F值 F value | P值 P value |
---|---|---|---|
A | 0.92 | 8.79 | 0.207 1 |
B | 14.39 | 137.64 | 0.054 1 |
C | 1.17 | 11.15 | 0.185 2 |
D | 3.54 | 33.89 | 0.108 3 |
E | 5.55 | 53.08 | 0.086 8 |
F | 28.21 | 269.90* | 0.038 7 |
G | 0.95 | 9.11 | 0.203 7 |
H | 4.86 | 47.56 | 0.162 7 |
I | 19.25 | 184.18* | 0.046 8 |
J | 50.43 | 482.43* | 0.029 0 |
K | 7.94 | 75.94 | 0.072 7 |
Table 6 Variance analysis of Plackett-Burman test results
参数 Parameter | 调整后的偏差平方和 Adjusted sum of squared deviations | F值 F value | P值 P value |
---|---|---|---|
A | 0.92 | 8.79 | 0.207 1 |
B | 14.39 | 137.64 | 0.054 1 |
C | 1.17 | 11.15 | 0.185 2 |
D | 3.54 | 33.89 | 0.108 3 |
E | 5.55 | 53.08 | 0.086 8 |
F | 28.21 | 269.90* | 0.038 7 |
G | 0.95 | 9.11 | 0.203 7 |
H | 4.86 | 47.56 | 0.162 7 |
I | 19.25 | 184.18* | 0.046 8 |
J | 50.43 | 482.43* | 0.029 0 |
K | 7.94 | 75.94 | 0.072 7 |
序号No. | 穰-叶滚动摩擦系数 Straw coreleaf rolling friction coefficient | 皮-叶滚动摩擦系数 Skinleaf rolling friction coefficient | 叶-叶静摩擦系数 Leavesleaf static friction coefficient | 堆积角 Stacking angle/(°) | 相对误差 Relative error |
---|---|---|---|---|---|
1 | 0.25 | 0.29 | 0.31 | 27.65 | 9.05 |
2 | 0.29 | 0.33 | 0.35 | 28.07 | 7.66 |
3 | 0.33 | 0.37 | 0.38 | 31.16 | 2.50 |
4 | 0.38 | 0.41 | 0.42 | 32.57 | 7.14 |
5 | 0.42 | 0.45 | 0.45 | 34.50 | 13.49 |
Table 7 Design and results of steepest climbing test
序号No. | 穰-叶滚动摩擦系数 Straw coreleaf rolling friction coefficient | 皮-叶滚动摩擦系数 Skinleaf rolling friction coefficient | 叶-叶静摩擦系数 Leavesleaf static friction coefficient | 堆积角 Stacking angle/(°) | 相对误差 Relative error |
---|---|---|---|---|---|
1 | 0.25 | 0.29 | 0.31 | 27.65 | 9.05 |
2 | 0.29 | 0.33 | 0.35 | 28.07 | 7.66 |
3 | 0.33 | 0.37 | 0.38 | 31.16 | 2.50 |
4 | 0.38 | 0.41 | 0.42 | 32.57 | 7.14 |
5 | 0.42 | 0.45 | 0.45 | 34.50 | 13.49 |
水平Level | F | I | J |
---|---|---|---|
-1 | 0.29 | 0.33 | 0.35 |
0 | 0.33 | 0.37 | 0.38 |
1 | 0.38 | 0.41 | 0.42 |
Table 8 Significant exposure parameter levels
水平Level | F | I | J |
---|---|---|---|
-1 | 0.29 | 0.33 | 0.35 |
0 | 0.33 | 0.37 | 0.38 |
1 | 0.38 | 0.41 | 0.42 |
序号No. | F | I | J | 堆积角 Stacking angle/(°) |
---|---|---|---|---|
1 | -1 | -1 | 0 | 26.43 |
2 | 1 | -1 | 0 | 30.16 |
3 | -1 | 1 | 0 | 30.24 |
4 | 1 | 1 | 0 | 34.78 |
5 | -1 | 0 | -1 | 27.56 |
6 | 1 | 0 | -1 | 32.40 |
7 | -1 | 0 | 1 | 28.41 |
8 | 1 | 0 | 1 | 33.64 |
9 | 0 | -1 | -1 | 27.49 |
10 | 0 | 1 | -1 | 31.94 |
11 | 0 | -1 | 1 | 28.43 |
12 | 0 | 1 | 1 | 32.10 |
13 | 0 | 0 | 0 | 30.04 |
14 | 0 | 0 | 0 | 30.33 |
15 | 0 | 0 | 0 | 30.46 |
16 | 0 | 0 | 0 | 29.34 |
17 | 0 | 0 | 0 | 29.17 |
Table 9 Box-Behnken trial design and results
序号No. | F | I | J | 堆积角 Stacking angle/(°) |
---|---|---|---|---|
1 | -1 | -1 | 0 | 26.43 |
2 | 1 | -1 | 0 | 30.16 |
3 | -1 | 1 | 0 | 30.24 |
4 | 1 | 1 | 0 | 34.78 |
5 | -1 | 0 | -1 | 27.56 |
6 | 1 | 0 | -1 | 32.40 |
7 | -1 | 0 | 1 | 28.41 |
8 | 1 | 0 | 1 | 33.64 |
9 | 0 | -1 | -1 | 27.49 |
10 | 0 | 1 | -1 | 31.94 |
11 | 0 | -1 | 1 | 28.43 |
12 | 0 | 1 | 1 | 32.10 |
13 | 0 | 0 | 0 | 30.04 |
14 | 0 | 0 | 0 | 30.33 |
15 | 0 | 0 | 0 | 30.46 |
16 | 0 | 0 | 0 | 29.34 |
17 | 0 | 0 | 0 | 29.17 |
方差来源 Source of variation | 平方和 Sum of Squares | 自由度 df | 均方 Mean Square | F值 F value | P值 P value |
---|---|---|---|---|---|
模型Model | 79.150 0 | 9 | 8.790 0 | 32.420 0 | < 0.000 1 |
F | 42.040 0 | 1 | 42.040 0 | 154.980 0 | < 0.000 1 |
I | 34.240 0 | 1 | 34.240 0 | 126.210 0 | < 0.000 1 |
J | 1.270 0 | 1 | 1.270 0 | 4.690 0 | 0.067 1 |
FI | 0.164 0 | 1 | 0.164 0 | 0.604 6 | 0.462 3 |
FJ | 0.038 0 | 1 | 0.038 0 | 0.140 2 | 0.719 2 |
IJ | 0.152 1 | 1 | 0.152 1 | 0.560 7 | 0.478 4 |
F² | 1.150 0 | 1 | 1.150 0 | 4.250 0 | 0.078 1 |
I² | 0.000 5 | 1 | 0.000 5 | 0.001 9 | 0.966 6 |
J² | 0.051 9 | 1 | 0.051 9 | 0.191 2 | 0.675 1 |
残差Residual | 1.900 0 | 7 | 0.271 3 | ||
失拟项Lack of fit | 0.539 5 | 3 | 0.179 8 | 0.529 1 | 0.685 9 |
纯误差Pure error | 1.360 0 | 4 | 0.339 9 | ||
总和Cor total | 81.050 0 | 16 |
Table 10 Variation analysis of Box-Behnken design quadratic model
方差来源 Source of variation | 平方和 Sum of Squares | 自由度 df | 均方 Mean Square | F值 F value | P值 P value |
---|---|---|---|---|---|
模型Model | 79.150 0 | 9 | 8.790 0 | 32.420 0 | < 0.000 1 |
F | 42.040 0 | 1 | 42.040 0 | 154.980 0 | < 0.000 1 |
I | 34.240 0 | 1 | 34.240 0 | 126.210 0 | < 0.000 1 |
J | 1.270 0 | 1 | 1.270 0 | 4.690 0 | 0.067 1 |
FI | 0.164 0 | 1 | 0.164 0 | 0.604 6 | 0.462 3 |
FJ | 0.038 0 | 1 | 0.038 0 | 0.140 2 | 0.719 2 |
IJ | 0.152 1 | 1 | 0.152 1 | 0.560 7 | 0.478 4 |
F² | 1.150 0 | 1 | 1.150 0 | 4.250 0 | 0.078 1 |
I² | 0.000 5 | 1 | 0.000 5 | 0.001 9 | 0.966 6 |
J² | 0.051 9 | 1 | 0.051 9 | 0.191 2 | 0.675 1 |
残差Residual | 1.900 0 | 7 | 0.271 3 | ||
失拟项Lack of fit | 0.539 5 | 3 | 0.179 8 | 0.529 1 | 0.685 9 |
纯误差Pure error | 1.360 0 | 4 | 0.339 9 | ||
总和Cor total | 81.050 0 | 16 |
Fig. 8 Surface diagram of the influence of straw core - leaves rolling friction coefficient and skin - leaves rolling friction coefficient on stacking angle
参数 Parameter | 数值Value | 参数 Parameter | 数值Value |
---|---|---|---|
穰-穰静摩擦系数 Straw corestraw core static friction coefficient | 2.705 | 皮-皮碰撞恢复系数 Skin-skin collision restitution coefficient | 0.380 |
穰-穰滚动摩擦系数 Straw corestraw core rolling friction coefficient | 0.350 | 皮-叶静摩擦系数 Skinleaf static friction coefficient | 0.380 |
穰-穰碰撞恢复系数 Straw corestraw core collision restitution coefficient | 0.390 | 皮-叶滚动摩擦系 Skinleaf rolling friction coefficient | 0.377 |
穰-皮静摩擦系数 Straw coreskin static friction coefficient | 0.900 | 皮-叶碰撞恢复系数 Skinleaf collision restitution coefficient | 0.385 |
穰-皮滚动摩擦系数 Straw coreskin rolling friction coefficient | 0.345 | 皮-45钢静摩擦系数 Skin45 steel static friction coefficient | 0.325 |
穰-皮碰撞恢复系数 Straw coreskin collision restitution coefficient | 0.400 | 皮-45钢滚动摩擦系数 Skin45 steel rolling friction coefficient | 0.270 |
穰-叶静摩擦系数 Straw coreleaf static friction coefficient | 0.930 | 皮-45钢碰撞恢复系数 Skin45 steel collision restitution coefficient | 0.425 |
穰-叶滚动摩擦系数 Straw coreleaf rolling friction coefficient | 0.325 | 叶-叶静摩擦系数 Leafleaf static friction coefficient | 0.411 |
穰-叶碰撞恢复系数 Straw coreleaf collision restitution coefficient | 0.395 | 叶-叶滚动摩擦系数 Leafleaf rolling friction coefficient | 0.335 |
穰-45钢静摩擦系数 Straw core45 steel static friction coefficient | 1.030 | 叶-叶碰撞恢复系数 Leafleaf collision restitution coefficient | 0.335 |
穰-45钢滚动摩擦系数 Straw core45 steel rolling friction coefficient | 0.365 | 叶-45钢静摩擦系数 Leaf45 steel static friction coefficient | 0.380 |
穰-45钢碰撞恢复系数 Straw core45 steel collision restitution coefficient | 0.415 | 叶-45钢滚动摩擦系数 Leaf45 steel rolling friction coefficient | 0.215 |
皮-皮静摩擦系数 Skinskin static friction coefficient | 0.665 | 叶-45钢碰撞恢复系数 Leaf45 steel collision restitution coefficient | 0.395 |
皮-皮滚动摩擦系数 Skin- skin rolling friction coefficient | 0.295 |
Table 11 Final parameter determination
参数 Parameter | 数值Value | 参数 Parameter | 数值Value |
---|---|---|---|
穰-穰静摩擦系数 Straw corestraw core static friction coefficient | 2.705 | 皮-皮碰撞恢复系数 Skin-skin collision restitution coefficient | 0.380 |
穰-穰滚动摩擦系数 Straw corestraw core rolling friction coefficient | 0.350 | 皮-叶静摩擦系数 Skinleaf static friction coefficient | 0.380 |
穰-穰碰撞恢复系数 Straw corestraw core collision restitution coefficient | 0.390 | 皮-叶滚动摩擦系 Skinleaf rolling friction coefficient | 0.377 |
穰-皮静摩擦系数 Straw coreskin static friction coefficient | 0.900 | 皮-叶碰撞恢复系数 Skinleaf collision restitution coefficient | 0.385 |
穰-皮滚动摩擦系数 Straw coreskin rolling friction coefficient | 0.345 | 皮-45钢静摩擦系数 Skin45 steel static friction coefficient | 0.325 |
穰-皮碰撞恢复系数 Straw coreskin collision restitution coefficient | 0.400 | 皮-45钢滚动摩擦系数 Skin45 steel rolling friction coefficient | 0.270 |
穰-叶静摩擦系数 Straw coreleaf static friction coefficient | 0.930 | 皮-45钢碰撞恢复系数 Skin45 steel collision restitution coefficient | 0.425 |
穰-叶滚动摩擦系数 Straw coreleaf rolling friction coefficient | 0.325 | 叶-叶静摩擦系数 Leafleaf static friction coefficient | 0.411 |
穰-叶碰撞恢复系数 Straw coreleaf collision restitution coefficient | 0.395 | 叶-叶滚动摩擦系数 Leafleaf rolling friction coefficient | 0.335 |
穰-45钢静摩擦系数 Straw core45 steel static friction coefficient | 1.030 | 叶-叶碰撞恢复系数 Leafleaf collision restitution coefficient | 0.335 |
穰-45钢滚动摩擦系数 Straw core45 steel rolling friction coefficient | 0.365 | 叶-45钢静摩擦系数 Leaf45 steel static friction coefficient | 0.380 |
穰-45钢碰撞恢复系数 Straw core45 steel collision restitution coefficient | 0.415 | 叶-45钢滚动摩擦系数 Leaf45 steel rolling friction coefficient | 0.215 |
皮-皮静摩擦系数 Skinskin static friction coefficient | 0.665 | 叶-45钢碰撞恢复系数 Leaf45 steel collision restitution coefficient | 0.395 |
皮-皮滚动摩擦系数 Skin- skin rolling friction coefficient | 0.295 |
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