中国农业科技导报 ›› 2024, Vol. 26 ›› Issue (3): 98-109.DOI: 10.13304/j.nykjdb.2023.0523
黄元昊1(), 全腊珍1,2(
), 胡广发1, 全伟1,2, 石方刚1
收稿日期:
2023-07-06
接受日期:
2023-11-16
出版日期:
2024-03-15
发布日期:
2024-03-07
通讯作者:
全腊珍
作者简介:
黄元昊 E-mail:925237062@qq.com;
基金资助:
Yuanhao HUANG1(), Lazhen QUAN1,2(
), Guangfa HU1, Wei QUAN1,2, Fanggang SHI1
Received:
2023-07-06
Accepted:
2023-11-16
Online:
2024-03-15
Published:
2024-03-07
Contact:
Lazhen QUAN
摘要:
现有土壤与触土部件材料间的接触参数适用范围较窄,难以模拟高含水率下的作业状况。为了探索多种材料与不同含水率土壤的粘附情况,更加准确地解决触土部件与土壤的粘附问题,以南方稻茬田土壤为研究对象,应用EDEM中的Hertz-Mindlin with JKR Cohesion模型,对不同含水率的土壤与45号钢、超高分子量聚乙烯(ultra-high molecular weight polyethylene, UHMWPE)、聚四氟乙烯(polytetrafluoroethylene,PTFE)的接触参数进行标定。在前期试验的基础上,以碰撞恢复系数、静摩擦系数、滚动摩擦系数和JKR为试验因素,土壤的滚动距离为试验指标设计了Box-Behnken四因素三水平试验。最后对所得回归模型进行优化,得到了含水率21%、26%、31%(±1%)的土壤与45号钢、UHMWPE、PTFE的碰撞恢复系数、静摩擦系数、滚动摩擦系数以及JKR的最优参数。仿真滚动距离与实测滚动距离的最大相对误差为3.46%,说明标定的参数准确可靠,可以为触土部件在进行减粘脱附设计时提供参考。
中图分类号:
黄元昊, 全腊珍, 胡广发, 全伟, 石方刚. 多种材料与不同含水率土壤的离散元接触参数标定[J]. 中国农业科技导报, 2024, 26(3): 98-109.
Yuanhao HUANG, Lazhen QUAN, Guangfa HU, Wei QUAN, Fanggang SHI. Calibration of Discrete Element Contact Parameters for Various Materials and Soils with Different Moisture Content[J]. Journal of Agricultural Science and Technology, 2024, 26(3): 98-109.
土壤含水率 Soil moisture content/% | 45号钢45# steel | 超高分子量聚乙烯UHMWPE | 聚四氟乙烯PTFE | |||||
---|---|---|---|---|---|---|---|---|
范围 Range | 平均 Average | 范围 Range | 平均 Average | 范围 Range | 平均 Average | |||
21 | 0.704~0.926 | 0.819 | 0.502~0.524 | 0.515 | 0.382~0.423 | 0.409 | ||
26 | 1.132~1.865 | 1.458 | 0.755~1.224 | 0.948 | 0.566~0.619 | 0.590 | ||
31 | 0.767~0.978 | 0.860 | 0.637~0.804 | 0.746 | 0.521~0.669 | 0.570 |
表1 土壤与材料的静摩擦系数
Table 1 Static friction coefficient of soil and material
土壤含水率 Soil moisture content/% | 45号钢45# steel | 超高分子量聚乙烯UHMWPE | 聚四氟乙烯PTFE | |||||
---|---|---|---|---|---|---|---|---|
范围 Range | 平均 Average | 范围 Range | 平均 Average | 范围 Range | 平均 Average | |||
21 | 0.704~0.926 | 0.819 | 0.502~0.524 | 0.515 | 0.382~0.423 | 0.409 | ||
26 | 1.132~1.865 | 1.458 | 0.755~1.224 | 0.948 | 0.566~0.619 | 0.590 | ||
31 | 0.767~0.978 | 0.860 | 0.637~0.804 | 0.746 | 0.521~0.669 | 0.570 |
土壤含水率 Soil moisture content/% | 滚动距离 Rolling distance/mm | ||
---|---|---|---|
45号钢 45# steel | 超高分子量聚乙烯 UHMWPE | 聚四氟乙烯 PTFE | |
21 | 306.8 | 338.2 | 411.6 |
26 | 206.0 | 235.2 | 238.6 |
31 | 0 | 10.1 | 22.8 |
表2 滚动距离
Table 2 Rolling distance
土壤含水率 Soil moisture content/% | 滚动距离 Rolling distance/mm | ||
---|---|---|---|
45号钢 45# steel | 超高分子量聚乙烯 UHMWPE | 聚四氟乙烯 PTFE | |
21 | 306.8 | 338.2 | 411.6 |
26 | 206.0 | 235.2 | 238.6 |
31 | 0 | 10.1 | 22.8 |
土壤含水率 Soil moisture content/% | 45号钢45# steel | 超高分子量聚乙烯UHMWPE | 聚四氟乙烯PTFE | |||
---|---|---|---|---|---|---|
范围 Range | 平均值 Average | 范围 Range | 平均 Average | 范围 Range | 平均 Average | |
21 | 0.081~0.09 | 0.085 | 0.069~0.068 | 0.079 | 0.065~0.072 | 0.068 |
26 | 0.111~0.119 | 0.114 | 0.097~0.113 | 0.104 | 0.093~0.110 | 0.103 |
31 | — | — | 0.321~0.335 | 0.329 | 0.229~0.296 | 0.293 |
表3 土壤与材料的滚动摩擦系数
Table 3 Rolling friction coefficient of soil and material
土壤含水率 Soil moisture content/% | 45号钢45# steel | 超高分子量聚乙烯UHMWPE | 聚四氟乙烯PTFE | |||
---|---|---|---|---|---|---|
范围 Range | 平均值 Average | 范围 Range | 平均 Average | 范围 Range | 平均 Average | |
21 | 0.081~0.09 | 0.085 | 0.069~0.068 | 0.079 | 0.065~0.072 | 0.068 |
26 | 0.111~0.119 | 0.114 | 0.097~0.113 | 0.104 | 0.093~0.110 | 0.103 |
31 | — | — | 0.321~0.335 | 0.329 | 0.229~0.296 | 0.293 |
材料 Material | 参数 Parameter | 数值 Value |
---|---|---|
土壤 Soil | 泊松比 Poisson’s ratio | 0.35 |
密度 Density/(kg∙m-3) | 2 090,1 782,1 544 | |
土壤剪切模量 Shear modulus /Pa | 1.0×106 | |
45号钢 45# steel | 泊松比 Poisson’s ratio | 0.31 |
45号钢密度 Density of 45# steel/(kg∙m-3) | 7 800 | |
45号钢剪切模量 Shear modulus of 45# steel/Pa | 7×1010 | |
超高分子量聚乙烯 UHMWPE | 泊松比 Poisson’s ratio | 0.46 |
密度 Density /(kg∙m-3) | 9 350 | |
剪切模量 Shear modulus/Pa | 3.3×107 | |
聚四氟乙烯PTFE | 泊松比 Poisson’s ratio | 0.40 |
密度 Density/(kg∙m-3) | 2 100 | |
PTFE剪切模量 Shear modulus/Pa | 1.0×108 |
表4 土壤与各材料的本征参数
Table 4 Intrinsic parameters of soil with various materials
材料 Material | 参数 Parameter | 数值 Value |
---|---|---|
土壤 Soil | 泊松比 Poisson’s ratio | 0.35 |
密度 Density/(kg∙m-3) | 2 090,1 782,1 544 | |
土壤剪切模量 Shear modulus /Pa | 1.0×106 | |
45号钢 45# steel | 泊松比 Poisson’s ratio | 0.31 |
45号钢密度 Density of 45# steel/(kg∙m-3) | 7 800 | |
45号钢剪切模量 Shear modulus of 45# steel/Pa | 7×1010 | |
超高分子量聚乙烯 UHMWPE | 泊松比 Poisson’s ratio | 0.46 |
密度 Density /(kg∙m-3) | 9 350 | |
剪切模量 Shear modulus/Pa | 3.3×107 | |
聚四氟乙烯PTFE | 泊松比 Poisson’s ratio | 0.40 |
密度 Density/(kg∙m-3) | 2 100 | |
PTFE剪切模量 Shear modulus/Pa | 1.0×108 |
因素 Factor | 土壤含水率Soil moisture/% | 低水平 Low level | 高水平 High level |
---|---|---|---|
A:碰撞恢复系数 Restitution coefficient | 21 | 0.10 | 0.20 |
26 | 0.01 | 0.10 | |
31 | 0.01 | 0.10 | |
B:静摩擦系数 Static friction coefficient | 21 | 0.65 | 0.95 |
26 | 1.00 | 2.00 | |
31 | 0.70 | 1.00 | |
C:滚动摩擦系数 Rolling friction coefficient | 21 | 0.075 | 0.095 |
26 | 0.100 | 0.150 | |
31 | 0.300 | 0.400 | |
D: JKR/(J∙m-2) | 21 | 0 | 15 |
26 | 0 | 15 | |
31 | 0 | 15 |
表5 土壤与45号钢的斜面滚动试验因素及水平
Table 5 Factor and level of soil and slope of 45# steel rolling test
因素 Factor | 土壤含水率Soil moisture/% | 低水平 Low level | 高水平 High level |
---|---|---|---|
A:碰撞恢复系数 Restitution coefficient | 21 | 0.10 | 0.20 |
26 | 0.01 | 0.10 | |
31 | 0.01 | 0.10 | |
B:静摩擦系数 Static friction coefficient | 21 | 0.65 | 0.95 |
26 | 1.00 | 2.00 | |
31 | 0.70 | 1.00 | |
C:滚动摩擦系数 Rolling friction coefficient | 21 | 0.075 | 0.095 |
26 | 0.100 | 0.150 | |
31 | 0.300 | 0.400 | |
D: JKR/(J∙m-2) | 21 | 0 | 15 |
26 | 0 | 15 | |
31 | 0 | 15 |
因素 Factor | 土壤含水率 Soil moisture/% | 低水平 Low level | 高水平 High level |
---|---|---|---|
A:碰撞恢复系数 Restitution coefficient | 21 | 0.15 | 0.30 |
26 | 0.01 | 0.10 | |
31 | 0.01 | 0.10 | |
B:静摩擦系数 Static friction coefficient | 21 | 0.35 | 0.45 |
26 | 0.50 | 0.70 | |
31 | 0.50 | 0.70 | |
C:滚动摩擦系数 Rolling friction coefficient | 21 | 0.055 | 0.075 |
26 | 0.085 | 0.150 | |
31 | 0.200 | 0.300 | |
D: JKR/(J∙m-2) | 21 | 0 | 15 |
26 | 0 | 15 | |
31 | 0 | 15 |
表6 土壤与超高分子量聚乙烯的斜面滚动试验因素及水平
Table 6 Factor and level of soil and UHMWPE cant rolling test
因素 Factor | 土壤含水率 Soil moisture/% | 低水平 Low level | 高水平 High level |
---|---|---|---|
A:碰撞恢复系数 Restitution coefficient | 21 | 0.15 | 0.30 |
26 | 0.01 | 0.10 | |
31 | 0.01 | 0.10 | |
B:静摩擦系数 Static friction coefficient | 21 | 0.35 | 0.45 |
26 | 0.50 | 0.70 | |
31 | 0.50 | 0.70 | |
C:滚动摩擦系数 Rolling friction coefficient | 21 | 0.055 | 0.075 |
26 | 0.085 | 0.150 | |
31 | 0.200 | 0.300 | |
D: JKR/(J∙m-2) | 21 | 0 | 15 |
26 | 0 | 15 | |
31 | 0 | 15 |
因素 Factor | 土壤含水率 Soil moisture/% | 低水平 Low level | 高水平 High level |
---|---|---|---|
A:碰撞恢复系数 Restitution coefficient | 21 | 0.15 | 0.30 |
26 | 0.01 | 0.10 | |
31 | 0.01 | 0.10 | |
B:静摩擦系数 Static friction coefficient | 21 | 0.45 | 0.55 |
26 | 0.70 | 1.50 | |
31 | 0.55 | 0.85 | |
C:滚动摩擦系数 Rolling friction coefficient | 21 | 0.06 | 0.09 |
26 | 0.90 | 0.15 | |
31 | 0.30 | 0.35 | |
D: JKR/(J∙m-2) | 21 | 0 | 15 |
26 | 0 | 15 | |
31 | 0 | 15 |
表7 土壤与聚四氟乙烯的斜面滚动试验因素及水平
Table 7 Factor and level soil and PTFE cant rolling test
因素 Factor | 土壤含水率 Soil moisture/% | 低水平 Low level | 高水平 High level |
---|---|---|---|
A:碰撞恢复系数 Restitution coefficient | 21 | 0.15 | 0.30 |
26 | 0.01 | 0.10 | |
31 | 0.01 | 0.10 | |
B:静摩擦系数 Static friction coefficient | 21 | 0.45 | 0.55 |
26 | 0.70 | 1.50 | |
31 | 0.55 | 0.85 | |
C:滚动摩擦系数 Rolling friction coefficient | 21 | 0.06 | 0.09 |
26 | 0.90 | 0.15 | |
31 | 0.30 | 0.35 | |
D: JKR/(J∙m-2) | 21 | 0 | 15 |
26 | 0 | 15 | |
31 | 0 | 15 |
试验序号 Test serial number | A | B | C | D | 滚动距离 Rolling distance/mm |
---|---|---|---|---|---|
1 | 0.10 | 0.65 | 0.085 | 7.5 | 267.92 |
2 | 0.20 | 0.65 | 0.085 | 7.5 | 272.78 |
3 | 0.10 | 0.95 | 0.085 | 7.5 | 268.00 |
4 | 0.20 | 0.95 | 0.085 | 7.5 | 272.85 |
5 | 0.15 | 0.80 | 0.075 | 0 | 328.03 |
6 | 0.15 | 0.80 | 0.095 | 0 | 238.66 |
7 | 0.15 | 0.80 | 0.075 | 15.0 | 318.26 |
8 | 0.15 | 0.80 | 0.095 | 15.0 | 230.40 |
9 | 0.10 | 0.80 | 0.085 | 0 | 276.89 |
10 | 0.20 | 0.80 | 0.085 | 0 | 278.78 |
11 | 0.10 | 0.80 | 0.085 | 15.0 | 265.98 |
12 | 0.20 | 0.80 | 0.085 | 15.0 | 270.27 |
13 | 0.15 | 0.65 | 0.075 | 7.5 | 320.20 |
14 | 0.15 | 0.95 | 0.075 | 7.5 | 320.15 |
15 | 0.15 | 0.65 | 0.095 | 7.5 | 231.82 |
16 | 0.15 | 0.95 | 0.095 | 7.5 | 231.78 |
17 | 0.10 | 0.80 | 0.075 | 7.5 | 317.89 |
18 | 0.20 | 0.80 | 0.075 | 7.5 | 322.36 |
19 | 0.10 | 0.80 | 0.095 | 7.5 | 229.82 |
20 | 0.20 | 0.80 | 0.095 | 7.5 | 233.73 |
21 | 0.15 | 0.65 | 0.085 | 0 | 278.17 |
22 | 0.15 | 0.95 | 0.085 | 0 | 278.17 |
23 | 0.15 | 0.65 | 0.085 | 15.0 | 269.27 |
24 | 0.15 | 0.95 | 0.085 | 15.0 | 269.27 |
25 | 0.15 | 0.80 | 0.085 | 7.5 | 269.98 |
26 | 0.15 | 0.80 | 0.085 | 7.5 | 270.83 |
27 | 0.15 | 0.80 | 0.085 | 7.5 | 271.00 |
28 | 0.15 | 0.80 | 0.085 | 7.5 | 270.57 |
29 | 0.15 | 0.80 | 0.085 | 7.5 | 271.25 |
表8 21%含水率土壤与45号钢的斜面滚动试验结果
Table 8 Result of 21% moisture content of soil and slope of 45# steel rolling test
试验序号 Test serial number | A | B | C | D | 滚动距离 Rolling distance/mm |
---|---|---|---|---|---|
1 | 0.10 | 0.65 | 0.085 | 7.5 | 267.92 |
2 | 0.20 | 0.65 | 0.085 | 7.5 | 272.78 |
3 | 0.10 | 0.95 | 0.085 | 7.5 | 268.00 |
4 | 0.20 | 0.95 | 0.085 | 7.5 | 272.85 |
5 | 0.15 | 0.80 | 0.075 | 0 | 328.03 |
6 | 0.15 | 0.80 | 0.095 | 0 | 238.66 |
7 | 0.15 | 0.80 | 0.075 | 15.0 | 318.26 |
8 | 0.15 | 0.80 | 0.095 | 15.0 | 230.40 |
9 | 0.10 | 0.80 | 0.085 | 0 | 276.89 |
10 | 0.20 | 0.80 | 0.085 | 0 | 278.78 |
11 | 0.10 | 0.80 | 0.085 | 15.0 | 265.98 |
12 | 0.20 | 0.80 | 0.085 | 15.0 | 270.27 |
13 | 0.15 | 0.65 | 0.075 | 7.5 | 320.20 |
14 | 0.15 | 0.95 | 0.075 | 7.5 | 320.15 |
15 | 0.15 | 0.65 | 0.095 | 7.5 | 231.82 |
16 | 0.15 | 0.95 | 0.095 | 7.5 | 231.78 |
17 | 0.10 | 0.80 | 0.075 | 7.5 | 317.89 |
18 | 0.20 | 0.80 | 0.075 | 7.5 | 322.36 |
19 | 0.10 | 0.80 | 0.095 | 7.5 | 229.82 |
20 | 0.20 | 0.80 | 0.095 | 7.5 | 233.73 |
21 | 0.15 | 0.65 | 0.085 | 0 | 278.17 |
22 | 0.15 | 0.95 | 0.085 | 0 | 278.17 |
23 | 0.15 | 0.65 | 0.085 | 15.0 | 269.27 |
24 | 0.15 | 0.95 | 0.085 | 15.0 | 269.27 |
25 | 0.15 | 0.80 | 0.085 | 7.5 | 269.98 |
26 | 0.15 | 0.80 | 0.085 | 7.5 | 270.83 |
27 | 0.15 | 0.80 | 0.085 | 7.5 | 271.00 |
28 | 0.15 | 0.80 | 0.085 | 7.5 | 270.57 |
29 | 0.15 | 0.80 | 0.085 | 7.5 | 271.25 |
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean square | F | P |
---|---|---|---|---|---|
模型Model | 24 008.35 | 14 | 1 714.88 | 6 918.88 | < 0.000 1 |
A | 49.09 | 1 | 49.09 | 198.04 | < 0.000 1 |
B | 3×10-4 | 1 | 3×10-4 | 1.21×10-3 | 0.972 7 |
C | 23 468.44 | 1 | 23 468.44 | 94 685.93 | < 0.000 1 |
D | 254.38 | 1 | 254.38 | 1026.32 | < 0.000 1 |
AB | 2.50×10-5 | 1 | 2.50×10-5 | 1×10-3 | 0.992 1 |
AC | 0.08 | 1 | 0.08 | 0.32 | 0.582 7 |
AD | 1.44 | 1 | 1.44 | 5.81 | 0.030 3 |
BC | 2.50×10-5 | 1 | 2.50×10-5 | 1×10-3 | 0.992 1 |
BD | 0 | 1 | 0 | 0 | 1.000 0 |
表9 21%含水率土壤与45号钢回归模型显著性分析
Table 9 Regression model significance analysis of 21% moisture content of soil and 45# steel
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean square | F | P |
---|---|---|---|---|---|
模型Model | 24 008.35 | 14 | 1 714.88 | 6 918.88 | < 0.000 1 |
A | 49.09 | 1 | 49.09 | 198.04 | < 0.000 1 |
B | 3×10-4 | 1 | 3×10-4 | 1.21×10-3 | 0.972 7 |
C | 23 468.44 | 1 | 23 468.44 | 94 685.93 | < 0.000 1 |
D | 254.38 | 1 | 254.38 | 1026.32 | < 0.000 1 |
AB | 2.50×10-5 | 1 | 2.50×10-5 | 1×10-3 | 0.992 1 |
AC | 0.08 | 1 | 0.08 | 0.32 | 0.582 7 |
AD | 1.44 | 1 | 1.44 | 5.81 | 0.030 3 |
BC | 2.50×10-5 | 1 | 2.50×10-5 | 1×10-3 | 0.992 1 |
BD | 0 | 1 | 0 | 0 | 1.000 0 |
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean square | F | P |
---|---|---|---|---|---|
CD | 0.57 | 1 | 0.57 | 2.30 | 0.151 6 |
A² | 0.79 | 1 | 0.79 | 3.17 | 0.096 7 |
B² | 0.01 | 1 | 0.01 | 0.04 | 0.837 9 |
C² | 187.80 | 1 | 187.80 | 757.70 | < 0.000 1 |
D² | 49.48 | 1 | 49.48 | 199.64 | < 0.000 1 |
残差Residual | 3.47 | 14 | 0.25 | ||
失拟项Lack of fit | 2.53 | 10 | 0.25 | 1.07 | 0.515 8 |
纯误差Pure error | 0.94 | 4 | 0.24 | ||
总和Cor total | 24 011.82 | 28 |
表9 21%含水率土壤与45号钢回归模型显著性分析 (续表Continued)
Table 9 Regression model significance analysis of 21% moisture content of soil and 45# steel
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean square | F | P |
---|---|---|---|---|---|
CD | 0.57 | 1 | 0.57 | 2.30 | 0.151 6 |
A² | 0.79 | 1 | 0.79 | 3.17 | 0.096 7 |
B² | 0.01 | 1 | 0.01 | 0.04 | 0.837 9 |
C² | 187.80 | 1 | 187.80 | 757.70 | < 0.000 1 |
D² | 49.48 | 1 | 49.48 | 199.64 | < 0.000 1 |
残差Residual | 3.47 | 14 | 0.25 | ||
失拟项Lack of fit | 2.53 | 10 | 0.25 | 1.07 | 0.515 8 |
纯误差Pure error | 0.94 | 4 | 0.24 | ||
总和Cor total | 24 011.82 | 28 |
试验序号 Test serial number | A | B | C | D | 滚动距离 Rolling distance/mm |
---|---|---|---|---|---|
1 | 0.001 | 0.7 | 0.12 | 7.5 | 151.92 |
2 | 0.100 | 0.7 | 0.12 | 7.5 | 161.64 |
3 | 0.001 | 1.5 | 0.12 | 7.5 | 151.92 |
4 | 0.100 | 1.5 | 0.12 | 7.5 | 161.61 |
5 | 0.051 | 1.1 | 0.09 | 0 | 255.98 |
6 | 0.051 | 1.1 | 0.15 | 0 | 115.97 |
7 | 0.051 | 1.1 | 0.09 | 15.0 | 242.13 |
8 | 0.051 | 1.1 | 0.15 | 15.0 | 105.42 |
9 | 0.001 | 1.1 | 0.12 | 0 | 164.75 |
10 | 0.100 | 1.1 | 0.12 | 0 | 169.50 |
11 | 0.001 | 1.1 | 0.12 | 15.0 | 149.61 |
12 | 0.100 | 1.1 | 0.12 | 15.0 | 159.34 |
13 | 0.051 | 0.7 | 0.09 | 7.5 | 245.12 |
14 | 0.051 | 1.5 | 0.09 | 7.5 | 245.12 |
15 | 0.051 | 0.7 | 0.15 | 7.5 | 107.49 |
16 | 0.051 | 1.5 | 0.15 | 7.5 | 107.48 |
17 | 0.001 | 1.1 | 0.09 | 7.5 | 236.92 |
18 | 0.100 | 1.1 | 0.09 | 7.5 | 248.58 |
19 | 0.001 | 1.1 | 0.15 | 7.5 | 102.27 |
20 | 0.100 | 1.1 | 0.15 | 7.5 | 110.44 |
21 | 0.051 | 0.7 | 0.12 | 0 | 168.07 |
22 | 0.051 | 1.5 | 0.12 | 0 | 168.25 |
23 | 0.051 | 0.7 | 0.12 | 15.0 | 156.33 |
24 | 0.051 | 1.5 | 0.12 | 15.0 | 156.33 |
25 | 0.051 | 1.1 | 0.12 | 7.5 | 160.58 |
26 | 0.051 | 1.1 | 0.12 | 7.5 | 159.24 |
27 | 0.051 | 1.1 | 0.12 | 7.5 | 161.57 |
28 | 0.051 | 1.1 | 0.12 | 7.5 | 159.46 |
29 | 0.051 | 1.1 | 0.12 | 7.5 | 159.99 |
表10 26%含水率土壤与超高分子量聚乙烯的斜面滚动试验结果
Table 10 Result of 26% moisture content of soil and UHMWPE cant rolling test results
试验序号 Test serial number | A | B | C | D | 滚动距离 Rolling distance/mm |
---|---|---|---|---|---|
1 | 0.001 | 0.7 | 0.12 | 7.5 | 151.92 |
2 | 0.100 | 0.7 | 0.12 | 7.5 | 161.64 |
3 | 0.001 | 1.5 | 0.12 | 7.5 | 151.92 |
4 | 0.100 | 1.5 | 0.12 | 7.5 | 161.61 |
5 | 0.051 | 1.1 | 0.09 | 0 | 255.98 |
6 | 0.051 | 1.1 | 0.15 | 0 | 115.97 |
7 | 0.051 | 1.1 | 0.09 | 15.0 | 242.13 |
8 | 0.051 | 1.1 | 0.15 | 15.0 | 105.42 |
9 | 0.001 | 1.1 | 0.12 | 0 | 164.75 |
10 | 0.100 | 1.1 | 0.12 | 0 | 169.50 |
11 | 0.001 | 1.1 | 0.12 | 15.0 | 149.61 |
12 | 0.100 | 1.1 | 0.12 | 15.0 | 159.34 |
13 | 0.051 | 0.7 | 0.09 | 7.5 | 245.12 |
14 | 0.051 | 1.5 | 0.09 | 7.5 | 245.12 |
15 | 0.051 | 0.7 | 0.15 | 7.5 | 107.49 |
16 | 0.051 | 1.5 | 0.15 | 7.5 | 107.48 |
17 | 0.001 | 1.1 | 0.09 | 7.5 | 236.92 |
18 | 0.100 | 1.1 | 0.09 | 7.5 | 248.58 |
19 | 0.001 | 1.1 | 0.15 | 7.5 | 102.27 |
20 | 0.100 | 1.1 | 0.15 | 7.5 | 110.44 |
21 | 0.051 | 0.7 | 0.12 | 0 | 168.07 |
22 | 0.051 | 1.5 | 0.12 | 0 | 168.25 |
23 | 0.051 | 0.7 | 0.12 | 15.0 | 156.33 |
24 | 0.051 | 1.5 | 0.12 | 15.0 | 156.33 |
25 | 0.051 | 1.1 | 0.12 | 7.5 | 160.58 |
26 | 0.051 | 1.1 | 0.12 | 7.5 | 159.24 |
27 | 0.051 | 1.1 | 0.12 | 7.5 | 161.57 |
28 | 0.051 | 1.1 | 0.12 | 7.5 | 159.46 |
29 | 0.051 | 1.1 | 0.12 | 7.5 | 159.99 |
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean square | F | P |
---|---|---|---|---|---|
模型Model | 59 522.59 | 14 | 4 251.61 | 5 674.96 | < 0.000 1 |
A | 240.49 | 1 | 240.49 | 321.00 | < 0.000 1 |
B | 0.00 | 1 | 0.00 | 0.00 | 0.963 4 |
C | 56 688.50 | 1 | 56 688.50 | 75 666.61 | < 0.000 1 |
D | 448.47 | 1 | 448.47 | 598.61 | < 0.000 1 |
AB | 2.25×10-4 | 1 | 2.25×10-4 | 3×10-4 | 0.986 4 |
AC | 3.05 | 1 | 3.05 | 4.06 | 0.063 4 |
AD | 6.20 | 1 | 6.20 | 8.28 | 0.012 2 |
BC | 2.50×10-5 | 1 | 2.50×10-5 | 3.34×10-5 | 0.995 5 |
BD | 0.01 | 1 | 0.01 | 0.01 | 0.918 7 |
CD | 2.72 | 1 | 2.72 | 3.63 | 0.077 4 |
A² | 38.81 | 1 | 38.81 | 51.80 | < 0.000 1 |
B² | 4.67 | 1 | 4.67 | 6.23 | 0.025 6 |
C² | 1 843.06 | 1 | 1 843.06 | 2 460.08 | < 0.000 1 |
D² | 56.50 | 1 | 56.50 | 75.42 | < 0.000 1 |
残差Residual | 10.49 | 14 | 0.75 | ||
失拟项Lack of fit | 6.96 | 10 | 0.70 | 0.79 | 0.655 1 |
纯误差Pure error | 3.53 | 4 | 0.88 | ||
总和Cor total | 59 533.07 | 28 |
表11 26%含水率土壤与超高分子量聚乙烯回归模型显著性分析
Table 11 Regression model significance analysis of 26% moisture content of soil and UHMWPE
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean square | F | P |
---|---|---|---|---|---|
模型Model | 59 522.59 | 14 | 4 251.61 | 5 674.96 | < 0.000 1 |
A | 240.49 | 1 | 240.49 | 321.00 | < 0.000 1 |
B | 0.00 | 1 | 0.00 | 0.00 | 0.963 4 |
C | 56 688.50 | 1 | 56 688.50 | 75 666.61 | < 0.000 1 |
D | 448.47 | 1 | 448.47 | 598.61 | < 0.000 1 |
AB | 2.25×10-4 | 1 | 2.25×10-4 | 3×10-4 | 0.986 4 |
AC | 3.05 | 1 | 3.05 | 4.06 | 0.063 4 |
AD | 6.20 | 1 | 6.20 | 8.28 | 0.012 2 |
BC | 2.50×10-5 | 1 | 2.50×10-5 | 3.34×10-5 | 0.995 5 |
BD | 0.01 | 1 | 0.01 | 0.01 | 0.918 7 |
CD | 2.72 | 1 | 2.72 | 3.63 | 0.077 4 |
A² | 38.81 | 1 | 38.81 | 51.80 | < 0.000 1 |
B² | 4.67 | 1 | 4.67 | 6.23 | 0.025 6 |
C² | 1 843.06 | 1 | 1 843.06 | 2 460.08 | < 0.000 1 |
D² | 56.50 | 1 | 56.50 | 75.42 | < 0.000 1 |
残差Residual | 10.49 | 14 | 0.75 | ||
失拟项Lack of fit | 6.96 | 10 | 0.70 | 0.79 | 0.655 1 |
纯误差Pure error | 3.53 | 4 | 0.88 | ||
总和Cor total | 59 533.07 | 28 |
试验序号 Test serial number | A | B | C | D | 滚动距离 Rolling distance/mm |
---|---|---|---|---|---|
1 | 0.001 | 0.5 | 0.25 | 7.5 | 26.57 |
2 | 0.100 | 0.5 | 0.25 | 7.5 | 31.30 |
3 | 0.001 | 0.7 | 0.25 | 7.5 | 26.53 |
4 | 0.100 | 0.7 | 0.25 | 7.5 | 31.28 |
5 | 0.051 | 0.6 | 0.20 | 0 | 64.82 |
6 | 0.051 | 0.6 | 0.30 | 0 | 16.92 |
7 | 0.051 | 0.6 | 0.20 | 15.0 | 55.77 |
8 | 0.051 | 0.6 | 0.30 | 15.0 | 11.40 |
9 | 0.001 | 0.6 | 0.25 | 0 | 33.86 |
10 | 0.100 | 0.6 | 0.25 | 0 | 36.01 |
11 | 0.001 | 0.6 | 0.25 | 15.0 | 24.70 |
12 | 0.100 | 0.6 | 0.25 | 15.0 | 29.70 |
13 | 0.051 | 0.5 | 0.20 | 7.5 | 57.90 |
14 | 0.051 | 0.7 | 0.20 | 7.5 | 57.85 |
15 | 0.051 | 0.5 | 0.30 | 7.5 | 12.80 |
16 | 0.051 | 0.7 | 0.30 | 7.5 | 12.76 |
17 | 0.001 | 0.6 | 0.20 | 7.5 | 52.90 |
18 | 0.100 | 0.6 | 0.20 | 7.5 | 59.58 |
19 | 0.001 | 0.6 | 0.30 | 7.5 | 11.24 |
20 | 0.100 | 0.6 | 0.30 | 7.5 | 13.03 |
21 | 0.051 | 0.5 | 0.25 | 0 | 35.21 |
22 | 0.051 | 0.7 | 0.25 | 0 | 34.97 |
23 | 0.051 | 0.5 | 0.25 | 15.0 | 28.23 |
24 | 0.051 | 0.7 | 0.25 | 15.0 | 28.19 |
25 | 0.051 | 0.6 | 0.25 | 7.5 | 29.82 |
26 | 0.051 | 0.6 | 0.25 | 7.5 | 31.23 |
27 | 0.051 | 0.6 | 0.25 | 7.5 | 30.12 |
28 | 0.051 | 0.6 | 0.25 | 7.5 | 30.50 |
29 | 0.051 | 0.6 | 0.25 | 7.5 | 31.97 |
表12 31%含水率土壤与聚四氟乙烯的斜面滚动试验结果
Table 12 Result of 31% moisture content of soil and PTFE cant rolling test
试验序号 Test serial number | A | B | C | D | 滚动距离 Rolling distance/mm |
---|---|---|---|---|---|
1 | 0.001 | 0.5 | 0.25 | 7.5 | 26.57 |
2 | 0.100 | 0.5 | 0.25 | 7.5 | 31.30 |
3 | 0.001 | 0.7 | 0.25 | 7.5 | 26.53 |
4 | 0.100 | 0.7 | 0.25 | 7.5 | 31.28 |
5 | 0.051 | 0.6 | 0.20 | 0 | 64.82 |
6 | 0.051 | 0.6 | 0.30 | 0 | 16.92 |
7 | 0.051 | 0.6 | 0.20 | 15.0 | 55.77 |
8 | 0.051 | 0.6 | 0.30 | 15.0 | 11.40 |
9 | 0.001 | 0.6 | 0.25 | 0 | 33.86 |
10 | 0.100 | 0.6 | 0.25 | 0 | 36.01 |
11 | 0.001 | 0.6 | 0.25 | 15.0 | 24.70 |
12 | 0.100 | 0.6 | 0.25 | 15.0 | 29.70 |
13 | 0.051 | 0.5 | 0.20 | 7.5 | 57.90 |
14 | 0.051 | 0.7 | 0.20 | 7.5 | 57.85 |
15 | 0.051 | 0.5 | 0.30 | 7.5 | 12.80 |
16 | 0.051 | 0.7 | 0.30 | 7.5 | 12.76 |
17 | 0.001 | 0.6 | 0.20 | 7.5 | 52.90 |
18 | 0.100 | 0.6 | 0.20 | 7.5 | 59.58 |
19 | 0.001 | 0.6 | 0.30 | 7.5 | 11.24 |
20 | 0.100 | 0.6 | 0.30 | 7.5 | 13.03 |
21 | 0.051 | 0.5 | 0.25 | 0 | 35.21 |
22 | 0.051 | 0.7 | 0.25 | 0 | 34.97 |
23 | 0.051 | 0.5 | 0.25 | 15.0 | 28.23 |
24 | 0.051 | 0.7 | 0.25 | 15.0 | 28.19 |
25 | 0.051 | 0.6 | 0.25 | 7.5 | 29.82 |
26 | 0.051 | 0.6 | 0.25 | 7.5 | 31.23 |
27 | 0.051 | 0.6 | 0.25 | 7.5 | 30.12 |
28 | 0.051 | 0.6 | 0.25 | 7.5 | 30.50 |
29 | 0.051 | 0.6 | 0.25 | 7.5 | 31.97 |
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean Square | F | P |
---|---|---|---|---|---|
模型Model | 6 538.48 | 14 | 467.03 | 1 010.70 | < 0.000 1 |
A | 52.50 | 1 | 52.50 | 113.62 | < 0.000 1 |
B | 0.02 | 1 | 0.02 | 0.03 | 0.857 7 |
C | 6 105.19 | 1 | 6 105.19 | 13 212.16 | < 0.000 1 |
D | 159.87 | 1 | 159.87 | 345.97 | < 0.000 1 |
AB | 1×10-4 | 1 | 1×10-4 | 2.16×10-4 | 0.988 5 |
AC | 5.98 | 1 | 5.98 | 12.94 | 0.002 9 |
AD | 2.03 | 1 | 2.03 | 4.39 | 0.054 7 |
BC | 2.50×10-5 | 1 | 2.50×10-5 | 5.41×10-5 | 0.994 2 |
BD | 0.01 | 1 | 0.01 | 0.02 | 0.885 1 |
CD | 3.12 | 1 | 3.12 | 6.74 | 0.021 1 |
A² | 11.64 | 1 | 11.64 | 25.20 | 0.000 2 |
B² | 1.49 | 1 | 1.49 | 3.22 | 0.094 6 |
C² | 158.54 | 1 | 158.54 | 343.10 | < 0.000 1 |
D² | 15.49 | 1 | 15.49 | 33.51 | < 0.000 1 |
残差Residual | 6.47 | 14 | 0.46 | ||
失拟项Lack of fit | 3.43 | 10 | 0.34 | 0.45 | 0.859 9 |
纯误差Pure error | 3.04 | 4 | 0.76 | ||
总和Cor total | 6 544.95 | 28 |
表13 31%含水率土壤与聚四氟乙烯回归模型显著性分析
Table 13 Regression model significance analysis of 31% moisture content of soil and PTFE
方差来源 Source of variation | 平方和 Sum of squares | 自由度 Df | 均方 Mean Square | F | P |
---|---|---|---|---|---|
模型Model | 6 538.48 | 14 | 467.03 | 1 010.70 | < 0.000 1 |
A | 52.50 | 1 | 52.50 | 113.62 | < 0.000 1 |
B | 0.02 | 1 | 0.02 | 0.03 | 0.857 7 |
C | 6 105.19 | 1 | 6 105.19 | 13 212.16 | < 0.000 1 |
D | 159.87 | 1 | 159.87 | 345.97 | < 0.000 1 |
AB | 1×10-4 | 1 | 1×10-4 | 2.16×10-4 | 0.988 5 |
AC | 5.98 | 1 | 5.98 | 12.94 | 0.002 9 |
AD | 2.03 | 1 | 2.03 | 4.39 | 0.054 7 |
BC | 2.50×10-5 | 1 | 2.50×10-5 | 5.41×10-5 | 0.994 2 |
BD | 0.01 | 1 | 0.01 | 0.02 | 0.885 1 |
CD | 3.12 | 1 | 3.12 | 6.74 | 0.021 1 |
A² | 11.64 | 1 | 11.64 | 25.20 | 0.000 2 |
B² | 1.49 | 1 | 1.49 | 3.22 | 0.094 6 |
C² | 158.54 | 1 | 158.54 | 343.10 | < 0.000 1 |
D² | 15.49 | 1 | 15.49 | 33.51 | < 0.000 1 |
残差Residual | 6.47 | 14 | 0.46 | ||
失拟项Lack of fit | 3.43 | 10 | 0.34 | 0.45 | 0.859 9 |
纯误差Pure error | 3.04 | 4 | 0.76 | ||
总和Cor total | 6 544.95 | 28 |
参数Parameter | 最优值Optimal value | |||
---|---|---|---|---|
碰撞恢复系数 Restitution coefficient | 静摩擦系数 Static friction coefficient | 滚动摩擦系数 Rolling friction coefficient | JKR/(J·m-2) | |
21%含水率土壤-45号钢 21% moisture content soil-45# steel | 0.131 | 0.755 | 0.078 | 5.976 |
26%含水率土壤-45号钢 26% moisture content soil-45# steel | 0.019 | 1.892 | 0.1 | 9.005 |
31%含水率土壤-45号钢 31% moisture content soil-45# steel | 0.007 | 0.767 | 0.367 | 14.192 |
21%含水率土壤-超高分子量聚乙烯 21% moisture content soil-UHMWPE | 0.19 | 0.514 | 0.073 | 4.004 |
26%含水率土壤-超高分子量聚乙烯 26% moisture content soil-UHMWPE | 0.039 | 1.170 | 0.093 | 7.066 |
31%含水率土壤-超高分子量聚乙烯 31% moisture content soil-UHMWPE | 0.008 | 0.771 | 0.303 | 10.566 |
21%含水率土壤-聚四氟乙烯 21% moisture content soil-PTFE | 0.168 | 0.383 | 0.062 | 2.720 |
26%含水率土壤-聚四氟乙烯 26% moisture content soil-PTFE | 0.024 | 0.604 | 0.093 | 4.761 |
31%含水率土壤-聚四氟乙烯 31% moisture content soil-PTFE | 0.022 | 0.570 | 0.265 | 7.506 |
表14 最优参数值
Table 14 The optimal parameter values
参数Parameter | 最优值Optimal value | |||
---|---|---|---|---|
碰撞恢复系数 Restitution coefficient | 静摩擦系数 Static friction coefficient | 滚动摩擦系数 Rolling friction coefficient | JKR/(J·m-2) | |
21%含水率土壤-45号钢 21% moisture content soil-45# steel | 0.131 | 0.755 | 0.078 | 5.976 |
26%含水率土壤-45号钢 26% moisture content soil-45# steel | 0.019 | 1.892 | 0.1 | 9.005 |
31%含水率土壤-45号钢 31% moisture content soil-45# steel | 0.007 | 0.767 | 0.367 | 14.192 |
21%含水率土壤-超高分子量聚乙烯 21% moisture content soil-UHMWPE | 0.19 | 0.514 | 0.073 | 4.004 |
26%含水率土壤-超高分子量聚乙烯 26% moisture content soil-UHMWPE | 0.039 | 1.170 | 0.093 | 7.066 |
31%含水率土壤-超高分子量聚乙烯 31% moisture content soil-UHMWPE | 0.008 | 0.771 | 0.303 | 10.566 |
21%含水率土壤-聚四氟乙烯 21% moisture content soil-PTFE | 0.168 | 0.383 | 0.062 | 2.720 |
26%含水率土壤-聚四氟乙烯 26% moisture content soil-PTFE | 0.024 | 0.604 | 0.093 | 4.761 |
31%含水率土壤-聚四氟乙烯 31% moisture content soil-PTFE | 0.022 | 0.570 | 0.265 | 7.506 |
参数Parameter | 滚动距离 Rolling distance/mm | 相对误差 Relative error | |
---|---|---|---|
实测值 Measured value | 仿真值 Simulation value | ||
21%含水率土壤-45号钢 21% moisture content soil-45# steel | 306.80 | 303.91 | 0.94% |
26%含水率土壤-45号钢 26% moisture content soil-45# steel | 206.00 | 206.93 | 0.45% |
31%含水率土壤-45号钢 31% moisture content soil-45# steel | 0 | 0 | 0 |
21%含水率土壤-超高分子量聚乙烯 21% moisture content soil-UHMWPE | 338.20 | 335.30 | 0.86% |
26%含水率土壤-超高分子量聚乙烯 26% moisture content soil-UHMWPE | 235.20 | 234.00 | 0.51% |
31%含水率土壤-超高分子量聚乙烯 31% moisture content soil-UHMWPE | 10.11 | 10.46 | 3.46% |
21%含水率土壤-聚四氟乙烯 21% moisture content soil-PTFE | 411.60 | 412.23 | 0.15% |
26%含水率土壤-聚四氟乙烯 26% moisture content soil-PTFE | 238.60 | 234.06 | 1.90% |
31%含水率土壤-聚四氟乙烯 31% moisture content soil-PTFE | 22.80 | 22.77 | 0.13% |
表15 实测值与仿真值的相对误差
Table 15 Relative error is measured and simulation
参数Parameter | 滚动距离 Rolling distance/mm | 相对误差 Relative error | |
---|---|---|---|
实测值 Measured value | 仿真值 Simulation value | ||
21%含水率土壤-45号钢 21% moisture content soil-45# steel | 306.80 | 303.91 | 0.94% |
26%含水率土壤-45号钢 26% moisture content soil-45# steel | 206.00 | 206.93 | 0.45% |
31%含水率土壤-45号钢 31% moisture content soil-45# steel | 0 | 0 | 0 |
21%含水率土壤-超高分子量聚乙烯 21% moisture content soil-UHMWPE | 338.20 | 335.30 | 0.86% |
26%含水率土壤-超高分子量聚乙烯 26% moisture content soil-UHMWPE | 235.20 | 234.00 | 0.51% |
31%含水率土壤-超高分子量聚乙烯 31% moisture content soil-UHMWPE | 10.11 | 10.46 | 3.46% |
21%含水率土壤-聚四氟乙烯 21% moisture content soil-PTFE | 411.60 | 412.23 | 0.15% |
26%含水率土壤-聚四氟乙烯 26% moisture content soil-PTFE | 238.60 | 234.06 | 1.90% |
31%含水率土壤-聚四氟乙烯 31% moisture content soil-PTFE | 22.80 | 22.77 | 0.13% |
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