中国农业科技导报 ›› 2023, Vol. 25 ›› Issue (12): 111-120.DOI: 10.13304/j.nykjdb.2022.0601
• 智慧农业 农机装备 • 上一篇
于淼1,2(), 周海宾2, 丁京涛2, 程红胜2, 沈玉君1,2(
), 范盛远2, 张曦2, 王健2, 徐鹏翔2, 程琼仪2
收稿日期:
2022-07-18
接受日期:
2022-11-22
出版日期:
2023-12-15
发布日期:
2023-12-12
通讯作者:
沈玉君
作者简介:
于淼 E-mail:ym10946@163.com;
基金资助:
Miao YU1,2(), Haibin ZHOU2, Jingtao DING2, Hongsheng CHENG2, Yujun SHEN1,2(
), Shengyuan FAN2, Xi ZHANG2, Jian WANG2, Pengxiang XU2, Qiongyi CHENG2
Received:
2022-07-18
Accepted:
2022-11-22
Online:
2023-12-15
Published:
2023-12-12
Contact:
Yujun SHEN
摘要:
餐厨垃圾原料复杂,导致其好氧堆肥原料混合过程仿真研究中存在参数不易获取的问题。该研究通过物理堆积试验与EDEM仿真试验结合的方法对餐厨垃圾接触参数进行了标定,通过Plackett-Burman(P-B)试验对9个待标定参数进行显著性筛选。结果表明,颗粒滚动摩擦系数、Johnso-Kendall-Roberts(JKR)表面能、颗粒与几何体间静摩擦系数对餐厨垃圾堆积角的影响显著;采用爬坡试验和Box-Behnken(B-B)试验,获得显著影响参数的最优值区间与最优值组合:餐厨垃圾-餐厨垃圾滚动摩擦系数为0.11、JKR表面能为0.13 J·m-2、餐厨垃圾-不锈钢静摩擦系数为0.73。仿真试验验证结果平均相对误差为4.3%,说明标定餐厨垃圾接触参数具有可靠性。研究结果可为餐厨垃圾处理和资源化利用设备的仿真研究提供参考。
中图分类号:
于淼, 周海宾, 丁京涛, 程红胜, 沈玉君, 范盛远, 张曦, 王健, 徐鹏翔, 程琼仪. 基于EDEM的餐厨垃圾组成颗粒间接触参数标定[J]. 中国农业科技导报, 2023, 25(12): 111-120.
Miao YU, Haibin ZHOU, Jingtao DING, Hongsheng CHENG, Yujun SHEN, Shengyuan FAN, Xi ZHANG, Jian WANG, Pengxiang XU, Qiongyi CHENG. Calibration of Interparticle Contact Parameters of Kitchen Waste Composition Based on EDEM[J]. Journal of Agricultural Science and Technology, 2023, 25(12): 111-120.
类型 Type | 尺寸(长×宽×高) Size (length×width× hight)/mm | 含水率 Moisture content/% | 密度 Density/(kg·m-3) |
---|---|---|---|
米饭 Rice | 5.6×3.0×3.0 | 70 | 800 |
菜茎 Floret | 30.0×7.5×7.5 | ||
肉类 Meat | 20.0×15.0×2.0 |
表1 餐厨垃圾基础参数
Table 1 Basic parameters of kitchen waste
类型 Type | 尺寸(长×宽×高) Size (length×width× hight)/mm | 含水率 Moisture content/% | 密度 Density/(kg·m-3) |
---|---|---|---|
米饭 Rice | 5.6×3.0×3.0 | 70 | 800 |
菜茎 Floret | 30.0×7.5×7.5 | ||
肉类 Meat | 20.0×15.0×2.0 |
参数 Parameter | 数值 Value |
---|---|
泊松比Poisson’s ratio | 0.3 |
剪切模量Shear modulus/MPa | 7.9×1010 |
密度Density /kg·m-3 | 7 800 |
表2 不锈钢离散元参数
Table 2 Discrete element parameters of stainless steel
参数 Parameter | 数值 Value |
---|---|
泊松比Poisson’s ratio | 0.3 |
剪切模量Shear modulus/MPa | 7.9×1010 |
密度Density /kg·m-3 | 7 800 |
参数符号 Parameter notation | 参数 Parameter | 参数水平 Parameter level | ||
---|---|---|---|---|
-1 | 0 | +1 | ||
A | 餐厨垃圾泊松比 Kitchen waste poisson’s ratio | 0.250 | 0.325 | 0.400 |
B | 餐厨垃圾剪切模量 Kitchen waste shear modulus/MPa | 1.0 | 5.5 | 10.0 |
C | 餐厨-餐厨碰撞恢复系数 Kitchen waste-kitchen waste restitution coefficient | 0.35 | 0.55 | 0.75 |
D | 餐厨-餐厨静摩擦系数 Kitchen waste-kitchen waste static friction coefficient | 0.20 | 0.62 | 1.04 |
E | 餐厨-餐厨滚动摩擦系数 Kitchen waste-kitchen waste rolling friction coefficient | 0.05 | 0.10 | 0.15 |
F | 餐厨-不锈钢碰撞恢复系数 Kitchen waste-stainless steel restitution coefficient | 0.4 | 0.6 | 0.8 |
G | 餐厨-不锈钢静摩擦系数 Kitchen waste-stainless steel static friction coefficient | 0.50 | 0.75 | 1.00 |
H | 餐厨-不锈钢滚动摩擦系数 Kitchen waste-stainless steel rolling friction coefficient | 0.50 | 0.75 | 1.00 |
J | JKR表面能 JKR surface energy /(J·m-2) | 0.01 | 0.05 | 0.10 |
表3 餐厨垃圾离散元参数范围
Table 3 Discrete element parameter range of kitchen waste
参数符号 Parameter notation | 参数 Parameter | 参数水平 Parameter level | ||
---|---|---|---|---|
-1 | 0 | +1 | ||
A | 餐厨垃圾泊松比 Kitchen waste poisson’s ratio | 0.250 | 0.325 | 0.400 |
B | 餐厨垃圾剪切模量 Kitchen waste shear modulus/MPa | 1.0 | 5.5 | 10.0 |
C | 餐厨-餐厨碰撞恢复系数 Kitchen waste-kitchen waste restitution coefficient | 0.35 | 0.55 | 0.75 |
D | 餐厨-餐厨静摩擦系数 Kitchen waste-kitchen waste static friction coefficient | 0.20 | 0.62 | 1.04 |
E | 餐厨-餐厨滚动摩擦系数 Kitchen waste-kitchen waste rolling friction coefficient | 0.05 | 0.10 | 0.15 |
F | 餐厨-不锈钢碰撞恢复系数 Kitchen waste-stainless steel restitution coefficient | 0.4 | 0.6 | 0.8 |
G | 餐厨-不锈钢静摩擦系数 Kitchen waste-stainless steel static friction coefficient | 0.50 | 0.75 | 1.00 |
H | 餐厨-不锈钢滚动摩擦系数 Kitchen waste-stainless steel rolling friction coefficient | 0.50 | 0.75 | 1.00 |
J | JKR表面能 JKR surface energy /(J·m-2) | 0.01 | 0.05 | 0.10 |
序号 No | 参数符号Parameter notation | 堆积角θ Repose angle θ/(°) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | F | G | H | J | K | L | ||
1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 35.29 |
2 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 31.52 |
3 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 25.37 |
4 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 38.61 |
5 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | 44.92 |
6 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 27.09 |
7 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 29.24 |
8 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 31.19 |
9 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 28.74 |
10 | -1 | 1 | 1. | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | 25.78 |
11 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 37.22 |
12 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 25.87 |
13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 31.56 |
14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 31.76 |
15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 29.32 |
16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 33.82 |
表4 Plackett-Burman 设计方案及结果
Table 4 Scheme and results of Plackett-Burman design
序号 No | 参数符号Parameter notation | 堆积角θ Repose angle θ/(°) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | F | G | H | J | K | L | ||
1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 35.29 |
2 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 31.52 |
3 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 25.37 |
4 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 38.61 |
5 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | 44.92 |
6 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 27.09 |
7 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 29.24 |
8 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 31.19 |
9 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 28.74 |
10 | -1 | 1 | 1. | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | 25.78 |
11 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 37.22 |
12 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 25.87 |
13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 31.56 |
14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 31.76 |
15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 29.32 |
16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 33.82 |
方差来源 Variance source | 效应 Effect | P值 P value | 显著性排序 Significant ranking |
---|---|---|---|
模型Model | — | 0.009 7** | — |
A | -0.56 | 0.290 0 | 6 |
B | 0.12 | 0.810 0 | 9 |
C | 0.52 | 0.321 0 | 7 |
D | -0.18 | 0.721 0 | 8 |
E | 4.40 | 0.000 7** | 1 |
F | 0.83 | 0.147 3 | 4 |
G | -1.64 | 0.023 5* | 3 |
H | 0.78 | 0.165 2 | 5 |
J | 2.89 | 0.003 3** | 2 |
表5 Plackett-Burman试验参数显著性分析
Table 5 Analysis of significance parameters in Plackett-Burman design test
方差来源 Variance source | 效应 Effect | P值 P value | 显著性排序 Significant ranking |
---|---|---|---|
模型Model | — | 0.009 7** | — |
A | -0.56 | 0.290 0 | 6 |
B | 0.12 | 0.810 0 | 9 |
C | 0.52 | 0.321 0 | 7 |
D | -0.18 | 0.721 0 | 8 |
E | 4.40 | 0.000 7** | 1 |
F | 0.83 | 0.147 3 | 4 |
G | -1.64 | 0.023 5* | 3 |
H | 0.78 | 0.165 2 | 5 |
J | 2.89 | 0.003 3** | 2 |
序号 No. | 试验参数 Test parameter | 堆积角 Repose angle/(°) | 相对误差 Relative error/% | ||
---|---|---|---|---|---|
E | J | G | |||
1 | 0.05 | 0.01 | 1.0 | 27.29 | 31 |
2 | 0.07 | 0.04 | 0.9 | 28.32 | 28 |
3 | 0.09 | 0.07 | 0.8 | 31.73 | 10 |
4 | 0.11 | 0.10 | 0.7 | 36.62 | 7 |
5 | 0.13 | 0.13 | 0.6 | 45.92 | 15 |
6 | 0.15 | 0.16 | 0.5 | 50.10 | 26 |
表6 爬坡试验设计方案及仿真结果
Table 6 Scheme and results of climbing test
序号 No. | 试验参数 Test parameter | 堆积角 Repose angle/(°) | 相对误差 Relative error/% | ||
---|---|---|---|---|---|
E | J | G | |||
1 | 0.05 | 0.01 | 1.0 | 27.29 | 31 |
2 | 0.07 | 0.04 | 0.9 | 28.32 | 28 |
3 | 0.09 | 0.07 | 0.8 | 31.73 | 10 |
4 | 0.11 | 0.10 | 0.7 | 36.62 | 7 |
5 | 0.13 | 0.13 | 0.6 | 45.92 | 15 |
6 | 0.15 | 0.16 | 0.5 | 50.10 | 26 |
序号 No. | 试验参数 Test parameters | 堆积角 Angle of repose/(°) | ||
---|---|---|---|---|
E | J | G | ||
1 | 1(0.13) | -1(0.07) | 0(0.7) | 36.90 |
2 | 0(0.11) | -1 | -1(0.6) | 36.10 |
3 | -1(0.09) | 1(0.13) | 0 | 35.56 |
4 | -1 | -1 | 0 | 33.88 |
5 | 0 | 1 | 1(0.8) | 35.62 |
6 | 1 | 0(0.10) | 1 | 37.04 |
7 | -1 | 0 | -1 | 35.75 |
8 | 0 | 0 | 0 | 38.49 |
9 | 1 | 0 | -1 | 40.44 |
10 | -1 | 0 | 1 | 34.91 |
11 | 0 | 0 | 0 | 38.73 |
12 | 1 | 1 | 0 | 42.59 |
13 | 0 | 1 | -1 | 42.47 |
14 | 0 | 0 | 0 | 40.02 |
15 | 0 | -1 | 1 | 36.42 |
表7 Box-Behken 设计方案及仿真结果
Table 7 Scheme and results of Box-Behken design
序号 No. | 试验参数 Test parameters | 堆积角 Angle of repose/(°) | ||
---|---|---|---|---|
E | J | G | ||
1 | 1(0.13) | -1(0.07) | 0(0.7) | 36.90 |
2 | 0(0.11) | -1 | -1(0.6) | 36.10 |
3 | -1(0.09) | 1(0.13) | 0 | 35.56 |
4 | -1 | -1 | 0 | 33.88 |
5 | 0 | 1 | 1(0.8) | 35.62 |
6 | 1 | 0(0.10) | 1 | 37.04 |
7 | -1 | 0 | -1 | 35.75 |
8 | 0 | 0 | 0 | 38.49 |
9 | 1 | 0 | -1 | 40.44 |
10 | -1 | 0 | 1 | 34.91 |
11 | 0 | 0 | 0 | 38.73 |
12 | 1 | 1 | 0 | 42.59 |
13 | 0 | 1 | -1 | 42.47 |
14 | 0 | 0 | 0 | 40.02 |
15 | 0 | -1 | 1 | 36.42 |
方差来源 Variance source | 均方和 Mean sum of square | 自由度 Degree of freedom | 平方和 Quadratic sum | F值 F value | P值 P value |
---|---|---|---|---|---|
模型 Model | 94.59 | 9 | 10.51 | 38.59 | 0.000 4** |
X | 33.62 | 1 | 33.62 | 123.44 | 0.000 1** |
Y | 17.82 | 1 | 17.82 | 65.43 | 0.000 5** |
Z | 15.96 | 1 | 15.96 | 58.60 | 0.000 6** |
XY | 6.28 | 1 | 6.28 | 23.04 | 0.004 9* |
XZ | 1.03 | 1 | 1.03 | 3.78 | 0.109 4 |
YZ | 12.85 | 1 | 12.85 | 47.19 | 0.001 0* |
X2 | 4.34 | 1 | 4.34 | 15.92 | 0.010 4* |
Y2 | 0.41 | 1 | 0.41 | 1.51 | 0.273 8 |
Z2 | 3.08 | 1 | 3.08 | 11.32 | 0.020 0* |
失拟项 Lack of fit | 0.83 | 3 | 0.28 | — | 0.525 5 |
误差项 Pure error | 0.53 | 2 | 0.27 | 1.04 | — |
总和 Total | 95.96 | 14 | — | — | — |
表8 Box-Behnken试验设计回归模型方差分析
Table 8 ANOVA of Box-Behnken design quadratic model
方差来源 Variance source | 均方和 Mean sum of square | 自由度 Degree of freedom | 平方和 Quadratic sum | F值 F value | P值 P value |
---|---|---|---|---|---|
模型 Model | 94.59 | 9 | 10.51 | 38.59 | 0.000 4** |
X | 33.62 | 1 | 33.62 | 123.44 | 0.000 1** |
Y | 17.82 | 1 | 17.82 | 65.43 | 0.000 5** |
Z | 15.96 | 1 | 15.96 | 58.60 | 0.000 6** |
XY | 6.28 | 1 | 6.28 | 23.04 | 0.004 9* |
XZ | 1.03 | 1 | 1.03 | 3.78 | 0.109 4 |
YZ | 12.85 | 1 | 12.85 | 47.19 | 0.001 0* |
X2 | 4.34 | 1 | 4.34 | 15.92 | 0.010 4* |
Y2 | 0.41 | 1 | 0.41 | 1.51 | 0.273 8 |
Z2 | 3.08 | 1 | 3.08 | 11.32 | 0.020 0* |
失拟项 Lack of fit | 0.83 | 3 | 0.28 | — | 0.525 5 |
误差项 Pure error | 0.53 | 2 | 0.27 | 1.04 | — |
总和 Total | 95.96 | 14 | — | — | — |
方差来源 Variance source | 均方和 Mean sum of square | 自由度 Degree of freedom | 平方和 Quadratic sum | F值 F value | P值 P value |
---|---|---|---|---|---|
模型 Model | 93.15 | 7 | 13.31 | 33.23 | <0.000 1** |
X | 33.62 | 1 | 33.62 | 83.95 | <0.000 1** |
Y | 17.82 | 1 | 17.82 | 44.50 | 0.000 3** |
Z | 15.96 | 1 | 15.96 | 39.86 | 0.000 4** |
XY | 6.28 | 1 | 6.28 | 15.67 | 0.005 5** |
YZ | 12.85 | 1 | 12.85 | 32.09 | 0.000 8** |
X2 | 4.16 | 1 | 4.16 | 10.38 | 0.014 6* |
Y2 | 2.93 | 1 | 2.93 | 7.31 | 0.030 4* |
失拟项 Lack of fit | 2.27 | 5 | 0.45 | 1.70 | 0.410 0 |
误差项 Pure error | 0.53 | 2 | 0.27 | — | — |
总和 Total | 95.96 | 14 | — | — | — |
表9 Box-Behnken 试验设计优化模型方差分析
Table 9 AVOVA of Box-Behnken design modified model
方差来源 Variance source | 均方和 Mean sum of square | 自由度 Degree of freedom | 平方和 Quadratic sum | F值 F value | P值 P value |
---|---|---|---|---|---|
模型 Model | 93.15 | 7 | 13.31 | 33.23 | <0.000 1** |
X | 33.62 | 1 | 33.62 | 83.95 | <0.000 1** |
Y | 17.82 | 1 | 17.82 | 44.50 | 0.000 3** |
Z | 15.96 | 1 | 15.96 | 39.86 | 0.000 4** |
XY | 6.28 | 1 | 6.28 | 15.67 | 0.005 5** |
YZ | 12.85 | 1 | 12.85 | 32.09 | 0.000 8** |
X2 | 4.16 | 1 | 4.16 | 10.38 | 0.014 6* |
Y2 | 2.93 | 1 | 2.93 | 7.31 | 0.030 4* |
失拟项 Lack of fit | 2.27 | 5 | 0.45 | 1.70 | 0.410 0 |
误差项 Pure error | 0.53 | 2 | 0.27 | — | — |
总和 Total | 95.96 | 14 | — | — | — |
图5 JKR表面能、餐厨垃圾-餐厨垃圾滚动摩擦系数、餐厨垃圾-不锈钢静摩擦系数交互作用对堆积角的影响A: JKR表面能与餐厨-餐厨滚动摩擦系数的交互作用;B: 餐厨-不锈钢静摩擦系数与JKR表面能的交互作用
Fig. 5 Interaction of JKR surface energy, rolling friction for kitchen waste-kitchen waste and static friction for kitchen waste-stainless steel on the change of repose angleA: Interaction of JKR surface energy with rolling friction for kitchen waste-kitchen waste; B: Interaction of static friction for kitchen waste- stainless steel with JKR surface energy
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