








中国农业科技导报 ›› 2023, Vol. 25 ›› Issue (3): 96-106.DOI: 10.13304/j.nykjdb.2022.0725
收稿日期:2022-08-31
接受日期:2022-10-24
出版日期:2023-03-15
发布日期:2023-05-22
作者简介:王洪波 E⁃mail:wanghb@imau.edu.cn
基金资助:
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
摘要:
为进一步揭示揉碎玉米秸秆饲料在螺旋输送器中的输送机理,提高揉碎玉米秸秆螺旋输送过程中离散元仿真研究所用参数的准确度,将揉碎玉米秸秆分为秸秆穰、秸秆叶、秸秆皮,采用物理试验和仿真优化设计相结合的方法对离散元仿真参数进行标定。首先,通过物理试验得到穰、叶、皮各项本征参数和接触参数的平均值和范围,将范围相对较大的接触参数通过Plackett-Burman试验利用其显著性进行筛选。结果表明,对仿真堆积角影响显著的因素有穰-叶滚动摩擦系数、皮-叶滚动摩擦系数、叶-叶静摩擦系数。对这3个显著性参数进行最陡爬坡试验,将其取值范围进行优化缩小,通过Box-Behnken试验建立堆积角与显著性参数的二阶回归模型,堆积角的目标值设置为物理试验测得的30.4°,寻优得到最佳的显著性参数的取值:叶-穰滚动摩擦系数为0.325,皮-叶滚动摩擦系数为0.377,叶-叶静摩擦系数为0.411,在此组合下仿真堆积角为30.77°。为进一步检验参数取值的准确性,通过t检验得到P>0.05,表明仿真与物理试验堆积角的值无明显差异,验证了最佳参数取值的可靠性。由此表明,应用上述各物理试验和优化试验来测定及标定离散元仿真参数是可行的,同时标定的参数为揉碎玉米秸秆的其他仿真试验提供了参考。
中图分类号:
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.
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.
图1 穰和叶的弹性模量测定A:穰的剪切试验;B:叶的剪切试验;1—质构仪刀具;2—穰;3—底板;4—叶
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
图2 穰和叶的剪切模量测定A:穰的剪切试验;B:叶的剪切试验;1—质构仪刀具;2具穰;3;底板;4—叶
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
图3 叶与皮的静摩擦系数测定装置注:1—斜面仪;2—叶制作的底板;3—皮。
Fig. 3 Determination test of static friction coefficient between leaf and skinNote: 1—Inclinometer; 2—Base plate made of leaf; 3—Skin.
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 |
表1 各对象相互之间的静摩擦系数
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 | ||||
表4 Plackett-Burman试验参数表
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 |
表5 Plackett-Burman试验设计及结果
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 |
表6 Plackett-Burman试验结果方差分析
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 |
表7 最陡爬坡试验设计及结果
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 |
表8 显著接触参数水平
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 |
表9 Box-Behnken 试验设计及结果
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 |
表10 Box-Behnken 试验回归模型方差分析
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 |
图8 叶-穰滚动摩擦系数、皮-叶滚动摩擦系数对堆积角的影响曲面图
Fig. 8 Surface diagram of the influence of straw core - leaves rolling friction coefficient and skin - leaves rolling friction coefficient on stacking angle
图9 揉碎玉米秸秆堆积角物理试验和仿真对比A:物理试验;B:仿真试验
Fig. 9 Physical test and simulation comparison of the accumulation angle of crushed corn stalksA: Physical experiment; B: Simulation test
| 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 |
表11 最终参数确定
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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