采用多岛遗传算法的插齿刀几何参数优化研究

韩军; 段荣鑫; 张磊; 王静

doi:10.13433/j.cnki.1003-8728.20200069

采用多岛遗传算法的插齿刀几何参数优化研究

doi: 10.13433/j.cnki.1003-8728.20200069

内蒙古科技大学机械工程学院, 内蒙古包头 014010

基金项目:

内蒙古自治区自然科学基金项目 2019LH05010

详细信息

作者简介:
韩军(1976-), 副教授, 硕士生导师, 研究方向为数控加工与几何、物理仿真, crl2006@126.com

中图分类号: TH161⁺.5
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- 文章访问数: 153
- HTML全文浏览量: 42
- PDF下载量: 20
- 被引次数: 0
出版历程
- 收稿日期: 2019-11-23
- 刊出日期: 2021-05-01

Study on Optimization of Geometric Parameters of Gear Shaper Cutter with Multi-island Genetic Algorithm

School of Mechanical Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, Inner Mongolia, China

摘要

摘要: 针对薄壁齿圈插齿加工过程中插削力过大引起齿形精度不高的问题，而插齿刀几何参数作为影响插削力大小的因素之一，提出了通过对插齿刀的几何参数进行优化来减小插削力提升齿形精度。采用UG对齿圈和刀具进行建模，将模型导入ABAQUS中对插齿加工过程进行仿真分析，得出插齿过程中的插削力。插齿刀的几何参数作为输入变量，插齿过程的插削力作为输出响应，通过优化拉丁超立方实验设计方法设计样本点，采用响应面近似模型建立数学模型，并结合多岛遗传算法对不同插齿刀的几何参数进行优化。研究结果表明，响应面模型能够有效的拟合插齿刀几何参数和插削力之间的函数关系，并通过多岛遗传算法的优化，插削力减小了34.87%，优化效果显著，对于插削力过大引起齿圈齿形精度不高的问题研究具有重要意义。
- 插齿刀 /
- 插削力 /
- 近似模型 /
- 多岛遗传算法
Abstract: Aiming at the problem that the tooth shape accuracy is not high due to the excessive cutting force during the machining of the thin-walled ring gear, the geometrical parameters of the gear shaper cutter are one of the factors affecting the cutting force. The geometric parameters are optimized to reduce the cutting force and improve the accuracy of the tooth profile. The gear ring and the tool were constructed via UG, in which the model was introduced into ABAQUS to simulate the machining process of the gear shaping process, and the cutting force in the tooth cutting was obtained. The geometric parameters of the shaper cutter are used as input variables, and the cutting force of the gear insertion process is used as the output response. The sample points are designed by optimizing the Latin hypercube experimental design method, and the model is established with the response surface approximation model, the geometric parameters of different gear shaper cutters are optimized by multi Island genetic algorithm. The results show that the response surface model can effectively fit the function relationship between the geometric parameters of gear shaper cutter and the cutting force. Through the optimization of multi Island genetic algorithm, the cutting force is reduced by 34.87%, and the optimization effect is significant. It is of great significance for studying the problem that the too large cutting force causes the low accuracy of gear ring profile.
- gear shaper cutter /
- cutting force /
- approximate model /
- multi-island genetic algorithm

HTML全文

图 1 插齿刀和齿圈模型图

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图 2 插齿加工仿真分析图

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图 3 插削力变化图

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图 4 近似模型图

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图 5 遗传算法优化过程图

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表 1 插齿刀和齿圈材料属性

参数名	插齿刀	齿圈
密度	7 840 kg/m³	7 850 kg/m³
弹性模量	210 GPa	226 GPa
泊松比	0.3	0.28
屈服强度	-	1 080 MPa
抗拉轻度	-	1 175 MPa

下载: 导出CSV

表 2 20Cr2Ni4A优质合金钢材料Johnson-Cook模型参数

材料	A	B	n	C	m	T_r
20Cr2Ni4A	1 112	1 063	0.2	0.01	0.62	25

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表 3 Johnson-Cook动态断裂失效准则参数

d₁	d₂	d₃	d₄	d₅
-0.09	0.27	-0.48	0.014	3.87

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表 4 插齿刀几何参数与插削力样本点分布

前角γ/(°)	后角α/(°)	插削力F/N
16.67	13.89	9 533.6
18.33	10.56	9 402.57
11.67	11.67	7 333.85
8.33	6.11	11 061.5
13.33	8.33	9 465.38
5.00	12.78	8 321.38
6.67	9.44	8 998.11
15.00	5.00	14 751.70
20.00	7.22	10 113.90
10.00	15.00	9 077.51

下载: 导出CSV

表 5 优化前后对比

状态	前角γ/(°)	后角α/(°)	插削力F/N
优化前	5.0	5.968	11 269.7
优化后	8.99	11.687	7 270.9

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