Acta Agriculturae Zhejiangensis ›› 2026, Vol. 38 ›› Issue (8): 1683-1694.DOI: 10.3969/j.issn.1004-1524.20250458
• Biosystems Engineering • Previous Articles Next Articles
WANG Haoyuan1(
), XU Yan1,2,*(
), ZHOU Jianping1,2, LI Xiankang1, ZUO Jiawei1, XU Xiang1
Received:2025-06-24
Online:2026-08-25
Published:2026-09-14
CLC Number:
WANG Haoyuan, XU Yan, ZHOU Jianping, LI Xiankang, ZUO Jiawei, XU Xiang. Calibration of soil parameters for safflower fields in Xinjiang, China, based on discrete element method[J]. Acta Agriculturae Zhejiangensis, 2026, 38(8): 1683-1694.
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URL: http://www.zjnyxb.cn/EN/10.3969/j.issn.1004-1524.20250458
| 含水率/% Moisture content/% | 泊松比 Poisson’s ratio | 弹性模量/MPa Elastic modulus/MPa |
|---|---|---|
| 10 | 0.35 | 5.31 |
| 15 | 0.35 | 4.21 |
| 20 | 0.36 | 3.88 |
| 25 | 0.38 | 3.54 |
| 30 | 0.40 | 3.22 |
Table 1 Poisson’s ratio and elastic modulus of soil samples
| 含水率/% Moisture content/% | 泊松比 Poisson’s ratio | 弹性模量/MPa Elastic modulus/MPa |
|---|---|---|
| 10 | 0.35 | 5.31 |
| 15 | 0.35 | 4.21 |
| 20 | 0.36 | 3.88 |
| 25 | 0.38 | 3.54 |
| 30 | 0.40 | 3.22 |
Fig.1 Structure of test bench for repose angle measurement 1, Supporting frame; 2, Funnel; 3, Horizontal angle gauge; 4, Receiving plate; 5, High speed camera.
| 序号 No. | 各因素试验水平Experimental levels of each factor | α/(°) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| A | B | C | D | E | F | G | H | I | ||
| 1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 35.43 |
| 2 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 29.57 |
| 3 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | 38.59 |
| 4 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 48.02 |
| 5 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 38.86 |
| 6 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 44.01 |
| 7 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 21.55 |
| 8 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | 35.43 |
| 9 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 40.59 |
| 10 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 47.21 |
| 11 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 46.03 |
| 12 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 23.57 |
Table 2 Plackett-Burman design and experimental results
| 序号 No. | 各因素试验水平Experimental levels of each factor | α/(°) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| A | B | C | D | E | F | G | H | I | ||
| 1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 35.43 |
| 2 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | 29.57 |
| 3 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | 38.59 |
| 4 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 1 | 48.02 |
| 5 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 1 | 38.86 |
| 6 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | 44.01 |
| 7 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 21.55 |
| 8 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 1 | 35.43 |
| 9 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 1 | 40.59 |
| 10 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | -1 | 47.21 |
| 11 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | 1 | 46.03 |
| 12 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 23.57 |
| 编号 No. | 各因素设定值Assigned values of each factor | α/(°) | 相对误差/% Relative error/% | |||
|---|---|---|---|---|---|---|
| B/Mpa | C | D | I/(J·m-2) | |||
| 1 | 0.800 | 0.200 | 0.04 | 0.100 | 28.21 | 21.42 |
| 2 | 1.003 | 0.318 | 0.17 | 0.223 | 32.44 | 9.64 |
| 3 | 1.206 | 0.436 | 0.30 | 0.346 | 35.02 | 2.45 |
| 4 | 1.409 | 0.554 | 0.43 | 0.469 | 38.28 | 6.63 |
| 5 | 1.612 | 0.672 | 0.56 | 0.592 | 42.22 | 17.60 |
| 6 | 1.815 | 0.790 | 0.69 | 0.715 | 44.98 | 25.29 |
Table 3 Steepest ascent design and experimental results
| 编号 No. | 各因素设定值Assigned values of each factor | α/(°) | 相对误差/% Relative error/% | |||
|---|---|---|---|---|---|---|
| B/Mpa | C | D | I/(J·m-2) | |||
| 1 | 0.800 | 0.200 | 0.04 | 0.100 | 28.21 | 21.42 |
| 2 | 1.003 | 0.318 | 0.17 | 0.223 | 32.44 | 9.64 |
| 3 | 1.206 | 0.436 | 0.30 | 0.346 | 35.02 | 2.45 |
| 4 | 1.409 | 0.554 | 0.43 | 0.469 | 38.28 | 6.63 |
| 5 | 1.612 | 0.672 | 0.56 | 0.592 | 42.22 | 17.60 |
| 6 | 1.815 | 0.790 | 0.69 | 0.715 | 44.98 | 25.29 |
| 序号 No. | 各因素的设定水平Setting level for each factor | α/(°) | |||
|---|---|---|---|---|---|
| B | C | D | I | ||
| 1 | -1 | -1 | 0 | 0 | 36.43 |
| 2 | 1 | -1 | 0 | 0 | 38.74 |
| 3 | -1 | 1 | 0 | 0 | 38.63 |
| 4 | 1 | 1 | 0 | 0 | 40.32 |
| 5 | 0 | 0 | -1 | -1 | 32.32 |
| 6 | 0 | 0 | 1 | -1 | 41.45 |
| 7 | 0 | 0 | -1 | 1 | 37.72 |
| 8 | 0 | 0 | 1 | 1 | 41.78 |
| 9 | -1 | 0 | -1 | -1 | 36.79 |
| 10 | 1 | 0 | 0 | -1 | 38.78 |
| 11 | -1 | 0 | 0 | 1 | 38.25 |
| 12 | 1 | 0 | 0 | 1 | 40.02 |
| 13 | 0 | -1 | -1 | 0 | 36.48 |
| 14 | 0 | 1 | -1 | 0 | 37.36 |
| 15 | 0 | -1 | 1 | 0 | 41.98 |
| 16 | 0 | 1 | 1 | 0 | 42.13 |
| 17 | -1 | 0 | -1 | 0 | 37.42 |
| 18 | 1 | 0 | -1 | 0 | 39.28 |
| 19 | -1 | 0 | 1 | 0 | 40.84 |
| 20 | 1 | 0 | 1 | 0 | 42.39 |
| 21 | 0 | -1 | 0 | -1 | 37.81 |
| 22 | 0 | 1 | 0 | -1 | 38.68 |
| 23 | 0 | -1 | 0 | 1 | 39.08 |
| 24 | 0 | 1 | 0 | 1 | 40.43 |
| 25 | 0 | 0 | 0 | 0 | 34.86 |
| 26 | 0 | 0 | 0 | 0 | 35.52 |
Table 4 Box-Behnken design and results
| 序号 No. | 各因素的设定水平Setting level for each factor | α/(°) | |||
|---|---|---|---|---|---|
| B | C | D | I | ||
| 1 | -1 | -1 | 0 | 0 | 36.43 |
| 2 | 1 | -1 | 0 | 0 | 38.74 |
| 3 | -1 | 1 | 0 | 0 | 38.63 |
| 4 | 1 | 1 | 0 | 0 | 40.32 |
| 5 | 0 | 0 | -1 | -1 | 32.32 |
| 6 | 0 | 0 | 1 | -1 | 41.45 |
| 7 | 0 | 0 | -1 | 1 | 37.72 |
| 8 | 0 | 0 | 1 | 1 | 41.78 |
| 9 | -1 | 0 | -1 | -1 | 36.79 |
| 10 | 1 | 0 | 0 | -1 | 38.78 |
| 11 | -1 | 0 | 0 | 1 | 38.25 |
| 12 | 1 | 0 | 0 | 1 | 40.02 |
| 13 | 0 | -1 | -1 | 0 | 36.48 |
| 14 | 0 | 1 | -1 | 0 | 37.36 |
| 15 | 0 | -1 | 1 | 0 | 41.98 |
| 16 | 0 | 1 | 1 | 0 | 42.13 |
| 17 | -1 | 0 | -1 | 0 | 37.42 |
| 18 | 1 | 0 | -1 | 0 | 39.28 |
| 19 | -1 | 0 | 1 | 0 | 40.84 |
| 20 | 1 | 0 | 1 | 0 | 42.39 |
| 21 | 0 | -1 | 0 | -1 | 37.81 |
| 22 | 0 | 1 | 0 | -1 | 38.68 |
| 23 | 0 | -1 | 0 | 1 | 39.08 |
| 24 | 0 | 1 | 0 | 1 | 40.43 |
| 25 | 0 | 0 | 0 | 0 | 34.86 |
| 26 | 0 | 0 | 0 | 0 | 35.52 |
Fig.4 Interaction effects of factors on repose angle B, Shear modulus of soil; C, Soil-soil static friction coefficient; D, Soil-soil rolling friction coefficient; I, Soil JKR surface energy; α, Repose angle. The same as below.
| 含水率/% Moisture content/% | B/MPa | C | D | I/(J·m-2) | 实测值/(°) Measured results/(°) | 仿真值/(°) Simulation results/(°) | 相对误差/% Relative error/% |
|---|---|---|---|---|---|---|---|
| 10 | 1.150 | 0.415 | 0.219 | 0.281 | 32.20 | 33.03 | 2.58 |
| 15 | 1.126 | 0.458 | 0.227 | 0.236 | 33.40 | 34.65 | 3.74 |
| 20 | 1.327 | 0.463 | 0.197 | 0.242 | 35.90 | 36.42 | 1.45 |
| 25 | 1.371 | 0.542 | 0.266 | 0.351 | 37.18 | 38.01 | 2.24 |
| 30 | 1.151 | 0.545 | 0.340 | 0.461 | 40.10 | 41.41 | 3.27 |
Table 5 The simulation experiment results of soil repose angle with five soil moisture contents and the relative errors compared with the physical experiments
| 含水率/% Moisture content/% | B/MPa | C | D | I/(J·m-2) | 实测值/(°) Measured results/(°) | 仿真值/(°) Simulation results/(°) | 相对误差/% Relative error/% |
|---|---|---|---|---|---|---|---|
| 10 | 1.150 | 0.415 | 0.219 | 0.281 | 32.20 | 33.03 | 2.58 |
| 15 | 1.126 | 0.458 | 0.227 | 0.236 | 33.40 | 34.65 | 3.74 |
| 20 | 1.327 | 0.463 | 0.197 | 0.242 | 35.90 | 36.42 | 1.45 |
| 25 | 1.371 | 0.542 | 0.266 | 0.351 | 37.18 | 38.01 | 2.24 |
| 30 | 1.151 | 0.545 | 0.340 | 0.461 | 40.10 | 41.41 | 3.27 |
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