Acta Agriculturae Zhejiangensis ›› 2024, Vol. 36 ›› Issue (6): 1400-1412.DOI: 10.3969/j.issn.1004-1524.20230887
• Biosystems Engineering • Previous Articles Next Articles
XIONG Houquan1(), JIANG Jie2,*(
)
Received:
2023-07-17
Online:
2024-06-25
Published:
2024-07-02
土层深度 Soil depth/mm | 土壤密度 Soil density/ (kg·m-3) | 土壤含水率 Soil moisture content/% |
---|---|---|
0~<100 | 1 397.05 | 7.6 |
100~<200 | 1 402.45 | 8.2 |
200~<300 | 1 458.05 | 9.3 |
300~400 | 1 459.65 | 9.6 |
Table 1 Soil density and moisture content
土层深度 Soil depth/mm | 土壤密度 Soil density/ (kg·m-3) | 土壤含水率 Soil moisture content/% |
---|---|---|
0~<100 | 1 397.05 | 7.6 |
100~<200 | 1 402.45 | 8.2 |
200~<300 | 1 458.05 | 9.3 |
300~400 | 1 459.65 | 9.6 |
编号 No. | 土层深度 Soil depth/mm | 密度 Density/ (kg·m-3) | 土壤含水率 Soil moisture content/% |
---|---|---|---|
A1 | 0~<200 | 1 399.75 | 7.90 |
A2 | 200~400 | 1 458.85 | 9.45 |
Table 2 Density and moisture content of soil after consolidation
编号 No. | 土层深度 Soil depth/mm | 密度 Density/ (kg·m-3) | 土壤含水率 Soil moisture content/% |
---|---|---|---|
A1 | 0~<200 | 1 399.75 | 7.90 |
A2 | 200~400 | 1 458.85 | 9.45 |
土层 Soil layer | 方位1 Position 1 | 方位2 Position 2 | 方位3 Position 3 | 平均值 Average value | |||
---|---|---|---|---|---|---|---|
左侧角度 Left angle | 右侧角度 Right angle | 左侧角度 Left angle | 右侧角度 Right angle | 左侧角度 Left angle | 右侧角度 Right angle | ||
A1 | 38.66 | 39.81 | 39.99 | 42.51 | 39.24 | 35.54 | 39.29 |
A2 | 40.60 | 45.14 | 39.81 | 42.51 | 42.69 | 44.06 | 42.47 |
Table 3 Measurement results of soil angle of repost (°)
土层 Soil layer | 方位1 Position 1 | 方位2 Position 2 | 方位3 Position 3 | 平均值 Average value | |||
---|---|---|---|---|---|---|---|
左侧角度 Left angle | 右侧角度 Right angle | 左侧角度 Left angle | 右侧角度 Right angle | 左侧角度 Left angle | 右侧角度 Right angle | ||
A1 | 38.66 | 39.81 | 39.99 | 42.51 | 39.24 | 35.54 | 39.29 |
A2 | 40.60 | 45.14 | 39.81 | 42.51 | 42.69 | 44.06 | 42.47 |
Fig.7 Measurement principle and static friction test bench A, Principle of measuring static friction coefficient. In Figure A, G0 represents the gravity of the soil block, N; f0 is the frictional force, N; N0 is the support force, N; α is the angle between the base and the inclined plane, (°); B is the length of the base, mm; H is the height of the end of the inclined plane, mm. B, Static friction coefficient test bench.
Fig.8 Measurement principle and rolling friction test bench A, Principle of measuring rolling friction coefficient. In Figure A, f1 is the frictional force on the soil ball, N; N1 is the support force on the soil ball, N. B, Rolling friction coefficient test platform.
Fig.9 Measurement principle and inclined plate collision test platform A, Principle of recovery coefficient measurement. In Figure A, 1 is the test soil ball, 2 is the test inclined plate (65Mn steel plate), 3 is the iron frame, 4 is the support base, 5 is the material connection plate. B, Inclined plate collision test platform.
编码 Code | 各因素的设定值Setting value of factors | |||
---|---|---|---|---|
JKR 表面能 JKR surface energy (x1)/(J·m-2 ) | 土壤间恢复系数 Soil restoration coefficient (x2) | 土壤间滚动摩擦因数 Rolling friction coefficient between soils (x3) | 土壤间静摩擦因数 Static friction coefficient between soils(x4) | |
-1 | 0.10 | 0.15 | 0.050 | 0.20 |
0 | 0.45 | 0.45 | 0.125 | 0.56 |
1 | 0.80 | 0.75 | 0.200 | 0.92 |
Table 4 Code of factors for simulation test of soil angle of repost
编码 Code | 各因素的设定值Setting value of factors | |||
---|---|---|---|---|
JKR 表面能 JKR surface energy (x1)/(J·m-2 ) | 土壤间恢复系数 Soil restoration coefficient (x2) | 土壤间滚动摩擦因数 Rolling friction coefficient between soils (x3) | 土壤间静摩擦因数 Static friction coefficient between soils(x4) | |
-1 | 0.10 | 0.15 | 0.050 | 0.20 |
0 | 0.45 | 0.45 | 0.125 | 0.56 |
1 | 0.80 | 0.75 | 0.200 | 0.92 |
试验编号 No. | 各因素的设定值Setting value of factors | 休止角 Angle of repose (θ)/(°) | |||
---|---|---|---|---|---|
JKR 表面能 JKR surface energy (x1) | 恢复系数 Restoration coefficient (x2) | 滚动摩擦因数 Rolling friction coefficient (x3) | 静摩擦因数 Static friction coefficient(x4) | ||
1 | 0.45 | 0.45 | 0.125 | 0.56 | 45.64 |
2 | 0.45 | 0.75 | 0.050 | 0.56 | 47.47 |
3 | 0.45 | 0.45 | 0.125 | 0.56 | 45.77 |
4 | 0.80 | 0.75 | 0.125 | 0.56 | 51.32 |
5 | 0.80 | 0.45 | 0.050 | 0.56 | 53.01 |
6 | 0.45 | 0.15 | 0.125 | 0.92 | 50.14 |
7 | 0.45 | 0.45 | 0.200 | 0.20 | 46.71 |
8 | 0.45 | 0.15 | 0.200 | 0.56 | 44.21 |
9 | 0.10 | 0.45 | 0.200 | 0.56 | 38.66 |
10 | 0.80 | 0.45 | 0.200 | 0.56 | 49.14 |
11 | 0.10 | 0.75 | 0.125 | 0.56 | 38.88 |
12 | 0.10 | 0.15 | 0.125 | 0.56 | 38.11 |
13 | 0.45 | 0.45 | 0.125 | 0.56 | 47.99 |
14 | 0.10 | 0.45 | 0.125 | 0.20 | 38.06 |
15 | 0.45 | 0.45 | 0.050 | 0.92 | 48.96 |
16 | 0.45 | 0.15 | 0.125 | 0.20 | 48.60 |
17 | 0.80 | 0.15 | 0.125 | 0.56 | 50.68 |
18 | 0.80 | 0.45 | 0.125 | 0.92 | 54.24 |
19 | 0.45 | 0.45 | 0.125 | 0.56 | 46.06 |
20 | 0.10 | 0.45 | 0.050 | 0.56 | 36.34 |
21 | 0.80 | 0.45 | 0.125 | 0.20 | 53.61 |
22 | 0.45 | 0.75 | 0.125 | 0.20 | 48.22 |
23 | 0.45 | 0.45 | 0.200 | 0.92 | 49.27 |
24 | 0.45 | 0.15 | 0.050 | 0.56 | 48.35 |
25 | 0.45 | 0.45 | 0.050 | 0.20 | 48.43 |
26 | 0.10 | 0.45 | 0.125 | 0.92 | 38.65 |
27 | 0.45 | 0.75 | 0.125 | 0.92 | 50.52 |
28 | 0.45 | 0.75 | 0.200 | 0.56 | 48.16 |
29 | 0.45 | 0.45 | 0.125 | 0.56 | 47.21 |
Table 5 Design and results of soil angle of repost simulation test scheme
试验编号 No. | 各因素的设定值Setting value of factors | 休止角 Angle of repose (θ)/(°) | |||
---|---|---|---|---|---|
JKR 表面能 JKR surface energy (x1) | 恢复系数 Restoration coefficient (x2) | 滚动摩擦因数 Rolling friction coefficient (x3) | 静摩擦因数 Static friction coefficient(x4) | ||
1 | 0.45 | 0.45 | 0.125 | 0.56 | 45.64 |
2 | 0.45 | 0.75 | 0.050 | 0.56 | 47.47 |
3 | 0.45 | 0.45 | 0.125 | 0.56 | 45.77 |
4 | 0.80 | 0.75 | 0.125 | 0.56 | 51.32 |
5 | 0.80 | 0.45 | 0.050 | 0.56 | 53.01 |
6 | 0.45 | 0.15 | 0.125 | 0.92 | 50.14 |
7 | 0.45 | 0.45 | 0.200 | 0.20 | 46.71 |
8 | 0.45 | 0.15 | 0.200 | 0.56 | 44.21 |
9 | 0.10 | 0.45 | 0.200 | 0.56 | 38.66 |
10 | 0.80 | 0.45 | 0.200 | 0.56 | 49.14 |
11 | 0.10 | 0.75 | 0.125 | 0.56 | 38.88 |
12 | 0.10 | 0.15 | 0.125 | 0.56 | 38.11 |
13 | 0.45 | 0.45 | 0.125 | 0.56 | 47.99 |
14 | 0.10 | 0.45 | 0.125 | 0.20 | 38.06 |
15 | 0.45 | 0.45 | 0.050 | 0.92 | 48.96 |
16 | 0.45 | 0.15 | 0.125 | 0.20 | 48.60 |
17 | 0.80 | 0.15 | 0.125 | 0.56 | 50.68 |
18 | 0.80 | 0.45 | 0.125 | 0.92 | 54.24 |
19 | 0.45 | 0.45 | 0.125 | 0.56 | 46.06 |
20 | 0.10 | 0.45 | 0.050 | 0.56 | 36.34 |
21 | 0.80 | 0.45 | 0.125 | 0.20 | 53.61 |
22 | 0.45 | 0.75 | 0.125 | 0.20 | 48.22 |
23 | 0.45 | 0.45 | 0.200 | 0.92 | 49.27 |
24 | 0.45 | 0.15 | 0.050 | 0.56 | 48.35 |
25 | 0.45 | 0.45 | 0.050 | 0.20 | 48.43 |
26 | 0.10 | 0.45 | 0.125 | 0.92 | 38.65 |
27 | 0.45 | 0.75 | 0.125 | 0.92 | 50.52 |
28 | 0.45 | 0.75 | 0.200 | 0.56 | 48.16 |
29 | 0.45 | 0.45 | 0.125 | 0.56 | 47.21 |
方差源 Square difference source | 平方和 Sum of squares | 自由度 Degree of freedom | 均方 Mean square | F | P | 显著性 Significance |
---|---|---|---|---|---|---|
模型Model | 684.68 | 14 | 48.91 | 56.43 | 0.000 1 | ** |
x1 | 578.24 | 1 | 578.24 | 667.23 | 0.000 1 | ** |
x2 | 1.67 | 1 | 1.67 | 1.93 | 0.186 5 | |
x3 | 3.42 | 1 | 3.42 | 3.95 | 0.066 8 | |
x4 | 5.54 | 1 | 5.54 | 6.39 | 0.024 2 | * |
x1x2 | 0.004 2 | 1 | 0.004 2 | 0.004 9 | 0.945 3 | |
x1x3 | 9.58 | 1 | 9.58 | 11.05 | 0.005 0 | ** |
x1x4 | 0.000 4 | 1 | 0.000 4 | 0.000 5 | 0.983 2 | |
x2x3 | 5.83 | 1 | 5.83 | 6.73 | 0.021 2 | * |
x2x4 | 0.144 4 | 1 | 0.144 4 | 0.166 6 | 0.689 3 | |
x3x4 | 1.03 | 1 | 1.03 | 1.19 | 0.294 0 | |
35.38 | 1 | 35.38 | 40.82 | 0.000 1 | ** | |
2.82 | 1 | 2.82 | 3.26 | 0.092 7 | ||
0.045 9 | 1 | 0.045 9 | 0.052 9 | 0.821 4 | ||
26.03 | 1 | 26.03 | 30.04 | 0.000 1 | ** | |
残差Residual error | 12.13 | 14 | 0.866 6 | |||
失拟项Misfit term | 7.95 | 10 | 0.794 8 | 0.759 8 | 0.671 3 | |
纯误差Pure error | 4.18 | 4 | 1.05 | |||
总和Sum | 696.82 | 28 | ||||
R2 | 0.982 6 | |||||
0.965 2 |
Table 6 Regression model analysis of variance
方差源 Square difference source | 平方和 Sum of squares | 自由度 Degree of freedom | 均方 Mean square | F | P | 显著性 Significance |
---|---|---|---|---|---|---|
模型Model | 684.68 | 14 | 48.91 | 56.43 | 0.000 1 | ** |
x1 | 578.24 | 1 | 578.24 | 667.23 | 0.000 1 | ** |
x2 | 1.67 | 1 | 1.67 | 1.93 | 0.186 5 | |
x3 | 3.42 | 1 | 3.42 | 3.95 | 0.066 8 | |
x4 | 5.54 | 1 | 5.54 | 6.39 | 0.024 2 | * |
x1x2 | 0.004 2 | 1 | 0.004 2 | 0.004 9 | 0.945 3 | |
x1x3 | 9.58 | 1 | 9.58 | 11.05 | 0.005 0 | ** |
x1x4 | 0.000 4 | 1 | 0.000 4 | 0.000 5 | 0.983 2 | |
x2x3 | 5.83 | 1 | 5.83 | 6.73 | 0.021 2 | * |
x2x4 | 0.144 4 | 1 | 0.144 4 | 0.166 6 | 0.689 3 | |
x3x4 | 1.03 | 1 | 1.03 | 1.19 | 0.294 0 | |
35.38 | 1 | 35.38 | 40.82 | 0.000 1 | ** | |
2.82 | 1 | 2.82 | 3.26 | 0.092 7 | ||
0.045 9 | 1 | 0.045 9 | 0.052 9 | 0.821 4 | ||
26.03 | 1 | 26.03 | 30.04 | 0.000 1 | ** | |
残差Residual error | 12.13 | 14 | 0.866 6 | |||
失拟项Misfit term | 7.95 | 10 | 0.794 8 | 0.759 8 | 0.671 3 | |
纯误差Pure error | 4.18 | 4 | 1.05 | |||
总和Sum | 696.82 | 28 | ||||
R2 | 0.982 6 | |||||
0.965 2 |
编码 Code | 各因素的设定值Setting value of factors | ||
---|---|---|---|
S-M碰撞恢复系数 S-M collision recovery coefficient (x5) | S-M静摩擦因素 S-M static friction factor(x6) | S-M滚动摩擦因素 S-M rolling friction factor(x7) | |
-1 | 0.052 | 0.36 | 0.078 |
0 | 0.268 | 0.47 | 0.117 |
1 | 0.484 | 0.58 | 0.156 |
Table 7 Factors and codes for soil sliding simulation test
编码 Code | 各因素的设定值Setting value of factors | ||
---|---|---|---|
S-M碰撞恢复系数 S-M collision recovery coefficient (x5) | S-M静摩擦因素 S-M static friction factor(x6) | S-M滚动摩擦因素 S-M rolling friction factor(x7) | |
-1 | 0.052 | 0.36 | 0.078 |
0 | 0.268 | 0.47 | 0.117 |
1 | 0.484 | 0.58 | 0.156 |
试验编号 No. | 各因素的设定值Setting value of factors | 土壤静滑动摩擦角 Soil static sliding friction angle (λ)/(°) | ||
---|---|---|---|---|
S-M碰撞恢复系数 S-M collision recovery coefficient (x5) | S-M静摩擦因素 S-M static friction factor(x6) | S-M滚动摩擦因素 S-M rolling friction factor(x7) | ||
1 | 0.052 | 0.58 | 0.117 | 28.84 |
2 | 0.484 | 0.47 | 0.156 | 25.63 |
3 | 0.268 | 0.58 | 0.078 | 29.28 |
4 | 0.268 | 0.36 | 0.078 | 20.37 |
5 | 0.484 | 0.58 | 0.117 | 28.82 |
6 | 0.484 | 0.36 | 0.117 | 20.84 |
7 | 0.268 | 0.47 | 0.117 | 24.89 |
8 | 0.052 | 0.47 | 0.156 | 25.26 |
9 | 0.052 | 0.47 | 0.078 | 24.41 |
10 | 0.268 | 0.47 | 0.117 | 24.83 |
11 | 0.268 | 0.47 | 0.117 | 24.80 |
12 | 0.484 | 0.47 | 0.078 | 24.71 |
13 | 0.268 | 0.47 | 0.117 | 24.34 |
14 | 0.268 | 0.58 | 0.156 | 29.62 |
15 | 0.268 | 0.36 | 0.156 | 20.09 |
16 | 0.268 | 0.47 | 0.117 | 24.43 |
17 | 0.052 | 0.36 | 0.117 | 19.84 |
Table 8 Design and results of soil sliding simulation test scheme
试验编号 No. | 各因素的设定值Setting value of factors | 土壤静滑动摩擦角 Soil static sliding friction angle (λ)/(°) | ||
---|---|---|---|---|
S-M碰撞恢复系数 S-M collision recovery coefficient (x5) | S-M静摩擦因素 S-M static friction factor(x6) | S-M滚动摩擦因素 S-M rolling friction factor(x7) | ||
1 | 0.052 | 0.58 | 0.117 | 28.84 |
2 | 0.484 | 0.47 | 0.156 | 25.63 |
3 | 0.268 | 0.58 | 0.078 | 29.28 |
4 | 0.268 | 0.36 | 0.078 | 20.37 |
5 | 0.484 | 0.58 | 0.117 | 28.82 |
6 | 0.484 | 0.36 | 0.117 | 20.84 |
7 | 0.268 | 0.47 | 0.117 | 24.89 |
8 | 0.052 | 0.47 | 0.156 | 25.26 |
9 | 0.052 | 0.47 | 0.078 | 24.41 |
10 | 0.268 | 0.47 | 0.117 | 24.83 |
11 | 0.268 | 0.47 | 0.117 | 24.80 |
12 | 0.484 | 0.47 | 0.078 | 24.71 |
13 | 0.268 | 0.47 | 0.117 | 24.34 |
14 | 0.268 | 0.58 | 0.156 | 29.62 |
15 | 0.268 | 0.36 | 0.156 | 20.09 |
16 | 0.268 | 0.47 | 0.117 | 24.43 |
17 | 0.052 | 0.36 | 0.117 | 19.84 |
方差源 Square difference source | 平方和 Sum of squares | 自由度 Degree of freedom | 均方 Mean square | F | P | 显著性 Significance |
---|---|---|---|---|---|---|
模型Model | 158.37 | 9 | 17.60 | 136.77 | 0.000 1 | ** |
x5 | 0.340 3 | 1 | 0.340 3 | 2.64 | 0.147 9 | |
x6 | 156.82 | 1 | 156.82 | 1 218.8 | 0.000 1 | ** |
x7 | 0.418 6 | 1 | 0.418 6 | 3.25 | 0.114 3 | |
x5x6 | 0.260 1 | 1 | 0.260 1 | 2.02 | 0.198 1 | |
x5x7 | 0.001 2 | 1 | 0.001 2 | 0.009 5 | 0.925 0 | |
x6x7 | 0.096 1 | 1 | 0.096 1 | 0.746 9 | 0.416 1 | |
0.008 4 | 1 | 0.008 4 | 0.065 5 | 0.805 3 | ||
0.058 4 | 1 | 0.058 4 | 0.453 7 | 0.522 2 | ||
0.378 3 | 1 | 0.378 3 | 2.94 | 0.130 1 | ||
残差Residual error | 0.900 7 | 7 | 0.128 7 | |||
失拟项Misfit term | 0.644 0 | 3 | 0.214 7 | 3.35 | 0.136 9 | |
纯误差Pure error | 0.256 7 | 4 | 0.064 2 | |||
总和Sum | 159.27 | 16 | ||||
R2 | 0.994 3 | |||||
0.987 1 |
Table 9 Regression model analysis of variance
方差源 Square difference source | 平方和 Sum of squares | 自由度 Degree of freedom | 均方 Mean square | F | P | 显著性 Significance |
---|---|---|---|---|---|---|
模型Model | 158.37 | 9 | 17.60 | 136.77 | 0.000 1 | ** |
x5 | 0.340 3 | 1 | 0.340 3 | 2.64 | 0.147 9 | |
x6 | 156.82 | 1 | 156.82 | 1 218.8 | 0.000 1 | ** |
x7 | 0.418 6 | 1 | 0.418 6 | 3.25 | 0.114 3 | |
x5x6 | 0.260 1 | 1 | 0.260 1 | 2.02 | 0.198 1 | |
x5x7 | 0.001 2 | 1 | 0.001 2 | 0.009 5 | 0.925 0 | |
x6x7 | 0.096 1 | 1 | 0.096 1 | 0.746 9 | 0.416 1 | |
0.008 4 | 1 | 0.008 4 | 0.065 5 | 0.805 3 | ||
0.058 4 | 1 | 0.058 4 | 0.453 7 | 0.522 2 | ||
0.378 3 | 1 | 0.378 3 | 2.94 | 0.130 1 | ||
残差Residual error | 0.900 7 | 7 | 0.128 7 | |||
失拟项Misfit term | 0.644 0 | 3 | 0.214 7 | 3.35 | 0.136 9 | |
纯误差Pure error | 0.256 7 | 4 | 0.064 2 | |||
总和Sum | 159.27 | 16 | ||||
R2 | 0.994 3 | |||||
0.987 1 |
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