斜入射下四光幕精度靶着靶位置测量原理误差分析

doi:10.12382/bgxb.2023.0097

摘要/Abstract

摘要：

为研究飞行弹丸斜入射时着靶坐标测量原理误差的分布规律,根据四光幕精度靶几何结构,建立了斜入射下着靶坐标测量原理误差模型,研究有效探测靶面内不同着靶位置与不同入射角下原理误差分布规律;分析工程应用中发射位置确定下,不同散布半径与不同射击距离对测量原理误差的影响,给出着靶坐标测量的修正公式,并进行实弹射击试验。试验结果表明:飞行弹丸斜入射时必然存在原理误差,必须修正着靶坐标;射击距离一定时,发射枪散布半径越大,原理误差越大;散布半径确定时,原理误差随射击距离增加而减小;在发射位置确定下,采用修正公式后,四光幕精度靶测量误差小于1mm。

关键词: 外弹道测试, 四光幕精度靶, 着靶坐标, 误差修正

Abstract:

In order to study the distribution law of the principle error of impact coordinate measurement for an obliquely incident projectile, a principle error model of impact coordinate measurement under oblique incidence is established according to the geometric structure of four-light-screen optical target. The distribution law of the principle errors at different impact positions and different incidence angles in the effective detection light-screen plane is studied. The influences on different dispersal radius and different shooting distances on the measurement principle error at the determined shooting position in engineering application are analyzed, and the correction formula for the measurement of impact coordinates is given. The shooting test was carried out. The results show that: the principle error inevitably exists when the flying projectile is obliquely incident, thus the impact coordinate should be corrected. At a certain shooting distance, the larger the gun’s dispersal radius is, the larger the principle error is; when the dispersal radius is determined, the principle error decreases with the increase in shooting distance; under the determination of shooting position, the measurement error of four-light-screen optical target is less than 1mm after using the correction formula.

Key words: external trajectory measurement, four-light-screen optical target, impact coordinates, error correction

中图分类号:

TJ012.3

李敬, 孙忠辉, 倪晋平, 段晨曦, 崔长青. 斜入射下四光幕精度靶着靶位置测量原理误差分析[J]. 兵工学报, 2024, 45(6): 1965-1973.

LI Jing, SUN Zhonghui, NI Jingping, DUAN Chenxi, CUI Changqing. Principle Error Analysis of Four-light-screen Optical Target with Impact Coordinates Measurement under Oblique Incidence[J]. Acta Armamentarii, 2024, 45(6): 1965-1973.

图/表 17

图1 四光幕拓扑结构图

Fig.1 Topology of four-light-screen

图2 与zd坐标相关的光幕在Oxz平面上的投影

Fig.2 Projection of light-screen related to zd-coordinate on Oxz plane

图3 与yd坐标相关的光幕在Oxy平面上的投影

Fig.3 Projection of light-screen related to yd-coordinate on Oxy plane

图4 速度矢量投影

Fig.4 Velocity vector projection

图5 误差Δzd分布

Fig.5 Distribution of error Δzd

图6 误差Δyd分布

Fig.6 Distribution of error Δyd

表1 坐标原理误差极小值随入射角度的变化

Table 1 Minimum value of coordinate principle error varying with incidence angle

入射角度/(°)	Δz_dmin/mm	Δy_dmin/mm
1	5.09	5.35
2	10.18	10.7
3	15.23	16.06
4	20.39	21.43
5	25.51	26.81

图7 坐标距离误差分布

Fig.7 Distribution of coordinate distance error

图8 |Δzd|随角度变化

Fig.8 Change of |Δzd| with angle

图9 |Δyd|随角度变化

Fig.9 Change of |Δyd| with angle

图10 垂直方向散布示意图

Fig.10 Schematic diagram of vertical dispersion

表2 自然散布下原理误差极大值

Table 2 Principle error maximum under natural dispersionmm

L/m	R/mm
L/m	50	100	200	300
50	0.54	1.08	2.15	3.23
100	0.27	0.54	1.09	1.63
200	0.14	0.27	0.55	0.82

图11 试验现场图

Fig.11 Test site

表3 25m处弹道枪射击测试结果

Table 3 Test results of ballistic gun firing at 25m mm

弹序	z_d	y_d	z_p	y_p	Δz	Δy	δz	δy
1	-64	-319	9	33	-73	-352	0	-1.8
2	-58	-343	14	6	-72	-349	1	1.2
3	-51	-343	22	7	-73	-350	0	0.2
4	-42	-334	32	17	-74	-351	-1	-0.8
5	-54	-338	19	11	-73	-349	0	1.2
均值	-53.8	-335.4	19.2	14.8	-73	-350.2	0	0

表4 地脚调整后弹道枪射击测试结果

Table 4 Test results of ballistic gun firing after the ground foot adjustmentmm

弹序	z_d	y_d	z_p	y_p	Δz	Δy	δz	δy
1	-12	-285	30	7.5	-42	-292.5	-0.6	0.5
2	-20	-284	20.6	8.1	-40.6	-292.1	0.8	0.9
3	-17	-269	23.5	23.8	-40.5	-292.8	0.9	0.2
4	-10	-280	31.8	13.4	-41.8	-293.4	-0.4	-0.4
5	-30	-277	12.1	17	-42.1	-294.0	-0.7	-1
均值	-17.8	-279	23.6	14	-41.4	-293.0	0	0

表5 弹道枪25m处自然散布测试结果

Table 5 Test results of ballistic gun firing at 25m in natural dispersionmm

弹序	z_d	y_d	z_p	y_p	Δz	Δy	δz	δy
1	335	-318	10	6	324.8	-324.2	1.0	-0.1
2	356	-302	32.5	21.5	323.8	-324.0	0.0	0.0
3	348	-299	25	25.5	322.5	-324.1	-1.3	-0.1
4	332	-315	7.5	10	324.4	-325.2	0.5	-1.2
5	340	-311	16	12	323.7	-322.6	-0.2	1.4
均值	342	-309	18.2	15.0	323.8	-324.0	0.0	0.0

表6 修正结果

Table 6 Correction resultsmm

弹序	z'_d	y'_d	z_p	y_p	Δz	Δy	δz	δy
1	342	-325	10	6	331.6	-331.0	0.4	0.0
2	364	-309	32.5	21.5	331.7	-330.8	0.4	0.1
3	355	-305	25	25.5	330.4	-330.9	-0.9	0.0
4	339	-322	7.5	10	331.2	-332.0	-0.1	-1.0
5	347	-318	16	12	331.5	-330.1	0.2	0.9
均值	349.5	-316.0	18.2	15.0	331.3	-331.0	0.0	0.0

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