基于GA⁃SVR的薄壁叶片辅助支撑布局优化方法

doi:10.7527/S1000-6893.2021.26805

Abstract

Abstract:

As a typical thin-walled workpiece with complex curved surface， the blade is prone to deflection， that is， elastic deformation， which seriously affects the machining accuracy of the blade. As to this problem， a four degree-of-freedom rotary auxiliary support mechanism is designed to increase the machining rigidity of the blade， and a layout optimization method of auxiliary support for thin-wall blade based on GA is proposed. Firstly， a finite element simulation model for blade milling is established considering material removal and the coupling effect between milling force and elastic deformation. Secondly， the layout scheme of auxiliary support is taken as design variable， the largest value and standard deviation of overall machining elastic deformation are taken as the quality evaluation index of the layout. The sample set is constructed by Latin hypercube design and finite element simulation model. The surrogate forecast model is trained with Support Vector machine Regression （SVR）. Then， elite strategy Genetic Algorithm （GA） is used to optimize the auxiliary support layout of thin-walled blade. Finally， the milling and CMM experiments of thin-walled blade are carried out， and the results show that the optimal auxiliary support layout scheme can suppress the blade elastic deformation by 57.6%.

Key words: thin-walled blade, elastic deformation, deformation prediction and control, SVR surrogate model, support layout optimization

CLC Number:

V261.2

Zhiyang ZHENG, Yang ZHANG, Zhao ZHANG, Baohai WU, Ying ZHANG. Layout optimization of auxiliary support for thin-walled blade based on GA-SVR[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(4): 426805-426805.

Figures/Tables 26

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Table 1

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Table 2

Layout scheme sampling data set of blade concave

布局方案编号	$u i 1$	$u i 2$	$v i$	$Δ m a x$ /mm	$Δ s d$ /mm
1	0.415	0.583	0.876	0.163 8	0.038 9
︙	︙	︙	︙	︙	︙
10	0.327	0.523	0.981	0.178 9	0.042 3
11	0.523	0.555	0.177	0.128 4	0.028 0
12	0.975	0.306	0.463	0.068 6	0.012 7
︙	︙	︙	︙	︙	︙
100	0.443	0.992	0.900	0.168 4	0.040 1

Table 2

Fig. 9

Table 3

Table 4

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Table 5

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Table 6

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Table 7

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节点编号	x	y	z	i	j	k	u	v	φ
877 7	285.00	96.24	5.28	0	0.02	1.00	0	0	1.43
︙	︙	︙	︙	︙	︙	︙	︙	︙	︙
881 5	285.00	53.54	9.72	0	0.18	0.98	0.47	0	10.22
881 7	285.00	51.32	10.13	0	0.19	0.98	0.50	0	10.68
881 9	285.00	49.10	10.56	0	0.19	0.98	0.52	0	11.13
︙	︙	︙	︙	︙	︙	︙	︙	︙	︙
885 7	285.00	7.71	21.97	0	0.22	0.98	1.00	0	12.48

刀具类型	硬质合金球头刀（直径：12 mm，齿数：4）
切削深度/mm	0.3
切削宽度/mm	0.5
切削速度/（m·min^-1）	80
每齿进给/（mm·z^-1）	0.08

曲线参数	最小预测误差/%	最大预测误差/%	平均预测误差/%
v=0.15	1.3	12.6	6.6
v=0.50	1.4	17.8	10.8
u=0.90	6.6	23.1	17.6

曲线参数	最小预测误差/%	最大预测误差/%	平均预测误差/%	平均抑制效果/%
v=0.05	5.6	24.2	17.1	24.2
v=0.10	2.5	33.4	15.2	34.8
v=0.15	3.0	23.1	10.8	49.1
v=0.20	6.4	37.5	16.7	51.1
v=0.25	4.6	38.9	18.2	57.6

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Layout optimization of auxiliary support for thin-walled blade based on GA-SVR

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