拟合精度约束下航发叶片在机测量采样策略

doi:10.7527/S1000-6893.2022.27151

Abstract

Abstract:

The number of measurement points is a key factor impacting the on-machine measurement efficiency of complex surfaces on aero-engine blades. To minimize the number of measurement points while meeting the fitting accuracy requirements， a sampling approach for blade on-machine measurement that considers the fitting accuracy is proposed. Firstly， in terms of the evaluation characteristics of surfaces inspection on blade body， the evaluation of fitting accuracy of surfaces is simplified to the evaluation of fitting accuracy for a set of section profile curves， and a model to assess the error relationship between different fitting curves is established. Then， the fitting error is separated from the on-machine measurement results by using the scaling transformation， and the upper bound model of fitting error is established. Furthermore， with the constraint that the upper bound of the fitting error satisfies the given fitting tolerance， the minimum number of measurement points is calculated iteratively based on the approximation error principle. Finally， taking the centrifugal impeller as the verification object， the number of measurement points can be reduced， and the measurement efficiency can be improved by the proposed method while ensuring the fitting accuracy of the on-machine measurement results， which provides a new approach to optimize the on-machine measurement process for the curved surface parts.

Key words: on-machine measurement, aero-engine blade, section profile curves, fitting error, sampling density

CLC Number:

V260.5

Neng WAN, Qixin ZHUANG, Yanheng GUO, Zhiyong CHANG, Dao WANG. Sampling strategy for on-machine measurement of aero-engine blade under constraint of fitting accuracy[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(7): 427151-427151.

Figures/Tables 16

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Table 1

Gaussian integral points value and weights

高斯积分点值 $x k$	权重 $ω k ¯$
$x 1 =$ -0.861 136 115 94	$ω 1 ¯ =$ 0.347 854 845 13
$x 2 =$ -0.339 981 043 58	$ω 2 ¯ =$ 0.652 145 154 86
$x 3 =$ 0.339 981 043 584	$ω 3 ¯ =$ 0.652 145 154 86
$x 4 =$ 0.861 136 311 594	$ω 4 ¯ =$ 0.347 854 845 13

Table 1

Fig. 6

Fig. 7

Table 2

Table 3

Fig. 8

Fig. 9

Table 4

Error between each curve with different number of sampling points

曲线区间	两曲线间误差/mm
曲线区间	6个采样点	11个采样点	21个采样点
$C h (t) - C d (t)$	0.010 8	0.006 7	0.002 7
$C f (t) - C d (t)$	0.056 0	0.082 3	0.134 4
$C d (t) - C s (t)$	0.021 2	0.036 8	0.056 9
$C f (t) - C s (t)$	0.044 5	0.070 8	0.112 1
$C h (t) - C s (t)$	0.028 0	0.044 9	0.069 8

Table 4

Fig. 10

Fig. 11

Fig. 12

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测量点序号	x/mm	y/mm	z/mm
1	-19.398 5	33.237 6	-3.783 5
2	-19.575 0	33.098 5	-3.961 6
︙	︙	︙	︙
160	-50.938 7	31.230 5	-34.114 7
161	-51.189 3	31.299 7	-34.235 4

测量点序号	x/mm	y/mm	z/mm
1	-19.392 5	33.242 6	-3.789 5
2	-19.575 2	33.098 4	-3.961 3
︙	︙	︙	︙
160	-50.930 4	31.249 6	-34.121 1
161	-51.183 2	31.310 5	-34.242 5

[1]	ZHUANG Qixin, MO Rong, WAN Neng, GUO Yanheng. Stylus orientation optimization method in five-axis on-machine measurement based on feasible graph [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(5): 423403-423403.
[2]	HUANG Yun, XIAO Guijian, ZOU Lai. Current situation and development trend of robot precise belt grinding for aero-engine blade [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(3): 22508-022508.
[3]	ZHANG Junfeng, SHI Yaoyao, LIN Xiaojun, DUAN Jihao. Freestyle belt polishing technology for leading and trailing edges of aero-engine blade [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(3): 420327-420327.

Sampling strategy for on-machine measurement of aero-engine blade under constraint of fitting accuracy

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