基于休止角标定不同含水率木粉离散元参数

doi:10.13304/j.nykjdb.2023.0617

摘要/Abstract

摘要：

在利用EDEM软件对木质板材生产过程中不同含水率的木粉混匀情况进行研究时，木粉颗粒离散元参数设置以及模型的选择直接影响仿真结果的可靠性。为确定不同含水率木粉的离散元物性参数，以松木木粉为研究对象，以休止角为响应值，针对不同含水率的木粉进行试验，构建了含水率与休止角之间的数学模型。基于Hertz-Mindlin JKR接触模型，构建2种形状不同的离散元颗粒模型进行仿真模拟；通过Plackett-Burman 试验，在与木粉颗粒相关的10个初始参数中筛选出了颗粒间碰撞恢复系数、颗粒间滚动摩擦系数和JKR表面能这3个对休止角影响显著的参数，结合爬坡试验、Box-Behnken试验建立了休止角与显著参数的数学模型，其P值为0.000 1，相对误差N≤4.07%。同时，通过含水率-休止角模型与休止角-离散元参数模型的推导，建立了含水率-离散元参数模型，并采用圆筒提升法进行试验验证，相对误差N≤4.34%。试验结果表明，可以通过含水率来推导木粉的离散元参数，为搅拌设备与木粉仿真中离散元接触参数的确定提供了方法，为进一步优化板材制备工艺以及设计高效的搅拌设备提供了参考。

关键词: 木粉, 含水率, 休止角, 离散元参数, 标定

Abstract:

The selection and configuration of discrete element parameters for wood powder particles have direct impacts on the reliability of simulation results when studying the homogenization of wood powder at various moisture levels during wood panel production using EDEM software. This study focused on pine wood powder and conduct experimental research to establish a mathematical model relating moisture content to the repose angle， a key response parameter. Based on the Hertz-Mindlin JKR contact model， 2 distinct discrete element particle models were developed to conduct simulation. Using Plackett-Burman experimental design， 3 significant parameters-inter-particle collision restitution coefficient， inter-particle rolling friction coefficient， and JKR surface energy were selected from an initial set of 10 parameters related to wood powder particles that influence the repose angle. Mathematical models correlating the repose angle to these significant parameters are constructed through response surface analysis， and their statistical significance was confirmed （P value=0.000 1） with relative errors N≤4.07%. Furthermore， by deriving models that link moisture content to repose angle and subsequently to discrete element parameters， a comprehensive framework for predicting discrete element parameters was established based on moisture content. Experimental validation using a cylinder lifting method yields relative errors N≤4.34%. These results indicated that moisture content could be used to derive discrete element parameters for wood powder， offering a method for determining discrete element contact parameters for simulation in wood panel manufacturing processes. This study provided insights for optimizing wood panel production processes and designing efficient mixing equipment.

Key words: wood powder, moisture content, repose angle, discrete element parameters, calibrating

中图分类号:

S126

田祥州, 贺福强, 陈发江, 詹璐歆. 基于休止角标定不同含水率木粉离散元参数[J]. 中国农业科技导报, 2025, 27(1): 118-128.

Xiangzhou TIAN, Fuqiang HE, Fajiang CHEN, Luxin ZHAN. Calibration of Discrete Elemental Parameters of Wood Powder with Different Moisture Content Based on Angle of Repose[J]. Journal of Agricultural Science and Technology, 2025, 27(1): 118-128.

图/表 18

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参数 Parameter	水平编码 Level code
参数 Parameter	-1	0	1
木粉密度 Wood powder density/（kg·m^-3）	0.456	0.528	0.600
木粉泊松比 Wood powder Poisson’s ratio	0.25	0.29	0.33
木粉剪切模量 Wood powder shear modulus /MPa	0.525 0	1.217 5	1.910 0
木粉-木粉碰撞恢复系数 Wood powder-wood powder restitution coefficient	0.010	0.055	0.100
木粉-木粉静摩擦系数 Wood powder-wood powder static friction coefficient	0.4	0.6	0.8
木粉-木粉滚动摩擦系数 Wood powder-wood powder rolling friction coefficient	0.050	0.075	0.100
木粉-亚力克板碰撞恢复系数 Wood powder-acrylic board restitution coefficient	0.1	0.3	0.5
木粉-亚力克板静摩擦系数 Wood powder-acrylic board static friction coefficient	0.2	0.5	0.8
木粉-亚力克板滚动摩擦系数 Wood powder-acrylic board rolling friction coefficient	0.050	0.075	0.100
JKR表面能 JKR surface energy/（J·m^-2）	0.050	0.125	0.200

参数 Parameter	水平编码 Level code
参数 Parameter	-1	0	1
木粉密度 Wood powder density/（kg·m^-3）	0.456	0.528	0.600
木粉泊松比 Wood powder Poisson’s ratio	0.25	0.29	0.33
木粉剪切模量 Wood powder shear modulus /MPa	0.525 0	1.217 5	1.910 0
木粉-木粉碰撞恢复系数 Wood powder-wood powder restitution coefficient	0.010	0.055	0.100
木粉-木粉静摩擦系数 Wood powder-wood powder static friction coefficient	0.4	0.6	0.8
木粉-木粉滚动摩擦系数 Wood powder-wood powder rolling friction coefficient	0.050	0.075	0.100
木粉-亚力克板碰撞恢复系数 Wood powder-acrylic board restitution coefficient	0.1	0.3	0.5
木粉-亚力克板静摩擦系数 Wood powder-acrylic board static friction coefficient	0.2	0.5	0.8
木粉-亚力克板滚动摩擦系数 Wood powder-acrylic board rolling friction coefficient	0.050	0.075	0.100
JKR表面能 JKR surface energy/（J·m^-2）	0.050	0.125	0.200

含水率 Moisture content/%	休止角 Repose angle/（°）	标准差 Standard deviation/（°）
15.32	36.62	0.32
17.45	37.50	0.26
19.21	38.63	0.17
21.42	40.25	0.54
23.56	43.66	0.68

含水率 Moisture content/%	休止角 Repose angle/（°）	标准差 Standard deviation/（°）
15.32	36.62	0.32
17.45	37.50	0.26
19.21	38.63	0.17
21.42	40.25	0.54
23.56	43.66	0.68

参数 Parameter	效应 Effect	均方和 Sum of squares	F值 F value	P值 P value	显著性排序 Significance ranking
模型Model	—	154.79	26.39	0.037 0	—
X₁	0.23	0.16	0.03	0.883 6	9
X₂	-3.84	44.43	7.58	0.110 5	6
X₃	-1.89	10.74	1.83	0.308 7	8
X₄	-11.40	389.77	66.46	0.014 7*	2
X₅	4.59	63.16	10.77	0.08 16	5
X₆	8.31	206.92	35.28	0.027 2*	3
X₇	0.11	0.04	0.01	0.943 6	10
X₈	5.90	104.49	17.82	0.051 8	4
X₉	1.92	11.00	1.88	0.304 3	7
X₁₀	15.46	717.19	122.30	0.008 1**	1