Numerical simulation and optimization of key structure for centrifugal variable fertilizer spreader

doi:10.3969/j.issn.1004-1524.2023.06.22

Acta Agriculturae Zhejiangensis ›› 2023, Vol. 35 ›› Issue (6): 1452-1461.DOI: 10.3969/j.issn.1004-1524.2023.06.22

• Biosystems Engineering • Previous Articles Next Articles

Numerical simulation and optimization of key structure for centrifugal variable fertilizer spreader

XIN Yapeng¹(), WANG Lin², SHI Yinyan¹^,^*(), WANG Xiaochan¹, WU Changwei¹, LIU Hui¹

1. College of Engineering, Nanjing Agricultural University, Nanjing 210031, China
2. State Key Laboratory of Power System of Tractor, Luoyang 471039, Henan, China

Received:2022-06-07 Online:2023-06-25 Published:2023-07-04

Abstract

Abstract:

In order to solve the problems of uneven fertilization and poor particle distribution caused by double disc centrifugal fertilizer spreader in the process of throwing rice fertilizer, the key structure of the current centrifugal double disc variable fertilizer spreader was optimized to improve the uniformity of fertilizer application. Based on the theoretical analysis of the key structure, the discrete element method was used to establish the simulation model of the centrifugal variable fertilizer spreader, and the three factor and three-level rotation orthogonal test was designed to simulate the parameters and optimize the structure of the fertilizer disc type (represented by brachistochrone curve shape), the number of blades on the fertilizer disc and the rising angle of the spiral blanking device. The results showed that the influence of factors on the distribution coefficient of variation (C_v) decreased as brachistochrone curve shape of the fertilizer disc>the number of blades>the rising angle of spiral blanking device. Through regression analysis and optimization, it was found that when the brachistochrone curve shape of the fertilizer disc was 0.276, the number of fertilizer blades was 4, and the rising angle of the spiral blanking device was 47.02°, the C_v reached the minimum value of 13.29%. The average relative error between the measured value verified by the experiment and the numerical simulation optimization was 8.99%. These results indicated that the simulation of fertilizer spreading based on discrete element method could optimize the working parameters of centrifugal fertilizer spreading device.The model had high reliability and could provide theoretical reference to improve the field performance of variable fertilizer spreader.

Key words: variable fertilization, structural optimization, discrete element method, coefficient of variation

CLC Number:

S183
S313

XIN Yapeng, WANG Lin, SHI Yinyan, WANG Xiaochan, WU Changwei, LIU Hui. Numerical simulation and optimization of key structure for centrifugal variable fertilizer spreader[J]. Acta Agriculturae Zhejiangensis, 2023, 35(6): 1452-1461.

Figures/Tables 16

References 22

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物料 Material	泊松比 Poisson ratio	剪切模量 Shear modulus/MPa	密度 Density/ (t·m^-3)
颗粒Particle	0.24	10.76	1.38/0.87(堆积
			Stacked)
槽轮	0.47	0.95	1.06
Grooved wheel
地面Ground	0.51	110	1.25
钢材Steel	0.30	70 000	7.80

物料 Material	泊松比 Poisson ratio	剪切模量 Shear modulus/MPa	密度 Density/ (t·m^-3)
颗粒Particle	0.24	10.76	1.38/0.87(堆积
			Stacked)
槽轮	0.47	0.95	1.06
Grooved wheel
地面Ground	0.51	110	1.25
钢材Steel	0.30	70 000	7.80

物料 Material	恢复系数 Coefficient of restitution	动摩擦系数 Coefficient of kinetic friction	静摩擦系数 Coefficient of static friction	颗粒直径 Diameter/mm
颗粒-颗粒Particle to particle	0.27	0.26	0.34	3.98
颗粒-槽轮Particle to grooved wheel	0.35	0.32	0.47	3.98
颗粒-地面Particle to ground	0.06	1.20	1.13	3.98
颗粒-钢材Particle to steel	0.29	0.59	0.48	3.98

物料 Material	恢复系数 Coefficient of restitution	动摩擦系数 Coefficient of kinetic friction	静摩擦系数 Coefficient of static friction	颗粒直径 Diameter/mm
颗粒-颗粒Particle to particle	0.27	0.26	0.34	3.98
颗粒-槽轮Particle to grooved wheel	0.35	0.32	0.47	3.98
颗粒-地面Particle to ground	0.06	1.20	1.13	3.98
颗粒-钢材Particle to steel	0.29	0.59	0.48	3.98

试验因素 Test factor	不同编码所对应的设计值 Setting values for differnet codes
试验因素 Test factor	-1	0	1
A	1/6	1/3	1/2
B	2	3	4
C/(°)	30	45	60

Numerical simulation and optimization of key structure for centrifugal variable fertilizer spreader

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Figures/Tables 16

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试验号 Serial No.	各因素的编码水平 Codes for different factors			C_v/%
试验号 Serial No.	A	B	C	C_v/%
1	-1	-1	0	21.44
2	1	-1	0	34.53
3	-1	1	0	13.79
4	1	1	0	24.72
5	-1	0	-1	15.28
6	1	0	-1	32.72
7	-1	0	1	26.57
8	1	0	1	26.59
9	0	-1	-1	13.61
10	0	1	-1	19.80
11	0	-1	1	28.83
12	0	1	0	16.35
13	0	1	1	17.59
14	0	0	0	13.16
15	0	0	0	13.69
16	0	0	0	12.43
17	0	0	0	15.36

变异来源 Source of variance	平方和 Sum of squares	自由度 Freedom	均方和 Mean square	F	P
模型 Model	801.29	9	89.03	14.05	0.001 1
A	215.00	1	215.00	33.92	0.000 6
B	56.08	1	56.08	8.85	0.020 7
C	41.32	1	41.32	6.52	0.037 9
AB	1.17	1	1.17	0.18	0.680 6
AC	75.87	1	75.87	11.97	0.010 6
BC	75.97	1	75.97	11.99	0.010 5
A²	226.74	1	226.74	35.77	0.000 6
B²	28.37	1	28.37	4.48	0.072 2
C²	57.19	1	57.19	9.02	0.019 8
剩余 Residual	44.37	7	6.34	—	—
失拟 Lack of fit	39.72	4	9.93	6.40	0.079 6
误差 Pure error	4.65	3	1.55	—	—
总和 Total	845.66	16	—	—	—

试验序号 Serial number	实测值 Measured value	相对误差 Relative error
1	14.67	9.41
2	15.34	13.36
3	13.97	4.87
4	14.29	7.00
5	14.83	10.38
6	14.59	8.91
平均值Mean	14.62	8.99

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