Calibration method for multi-sky-screen target density based on double theodolites and bullet holes screen

弹序	天幕立靶测量坐标/mm		双经纬仪交会测量坐标/mm
弹序	x_m	y_m	x_d	y_d
1	−89.7	−62.5	−101.1	−68.6
2	−29.3	44.2	−33.2	49.7
3	−51	−27.4	−64	−28.8
4	−75.5	−29.2	−90.9	−21.5
5	−111.5	−23.6	−108.4	−17.4
6	120.9	−95	133.8	−102.7
7	128.8	−150.9	141.9	−163.7
8	176.7	−201.7	190.6	−213
9	268.3	252.2	281.2	266.1
10	−335.9	287.9	−350.2	299.4

Table 2. Comparison of coordinates between multi-sky-screen target and double theodolites

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Table 2. Comparison of coordinates between multi-sky-screen target and double theodolites

弹序	天幕立靶测量坐标/mm		双经纬仪交会测量坐标/mm		天幕立靶测量相对坐标/mm		双经纬仪交会测量相对坐标/mm		差值/mm
弹序	x_m	y_m	x_d	y_d	$\Delta {x_m}$	$\Delta {y_m}$	$\Delta {x_d}$	$\Delta {y_d}$	$\delta x$	$\delta y$
1	−89.7	−62.5	−101.1	−68.6	−89.88	−61.9	−101.07	−68.55	11.19	6.65
2	−29.3	44.2	−33.2	49.7	−29.48	44.8	−33.17	49.75	3.69	−4.95
3	−51	−27.4	−64	−28.8	−51.18	−26.8	−63.97	−28.75	12.79	1.95
4	−75.5	−29.2	−90.9	−21.5	−75.68	−28.6	−90.87	−21.45	15.19	−7.15
5	−111.5	−23.6	−108.4	−17.4	−111.68	−23	−108.37	−17.35	−3.31	−5.65
6	120.9	−95	133.8	−102.7	120.72	−94.4	133.83	−102.65	−13.11	8.25
7	128.8	−150.9	141.9	−163.7	128.62	−150.3	141.93	−163.65	−13.31	13.35
8	176.7	−201.7	190.6	−213	176.52	−201.1	190.63	−212.95	−14.11	11.85
9	268.3	252.2	281.2	266.1	268.12	252.8	281.23	266.15	−13.11	−13.35
10	−335.9	287.9	−350.2	299.4	−336.08	288.5	−350.17	299.45	14.09	−10.95

Table 3. Results of firing density calculation
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Table 3. Results of firing density calculation
天幕立靶测量坐标/mm 双经纬仪交会测量的坐标/mm 差值/mm
E_xm E_ym E_xd E_yd $\Delta $E_x $\Delta $E_y
密集度 118.3 107.1 125.5 112.9 −7.2 −5.8

Table 4. Summary of uncertainty components of bullet holes coordinates measurement

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Table 4. Summary of uncertainty components of bullet holes coordinates measurement

序号	不确定度来源	分布	包含因子	不确定分量/mm
1	经纬仪测角误差	均匀分布	$\sqrt 3 $	${u_{1 - x}^{}} = u_{11x}^{} = 0.085$${u_{1 - y}^{}} = \sqrt {{u_{1y}^2} + {u_{12y}^2}} = 0.227$
2	线纹尺误差	均匀分布	$\sqrt 3 $	${u_{2 - x}^{}} = {u_{2 - y}^{}} = \sqrt {{u_{21b}^2} + {u_{22b}^2}} = 0.044$
3	靶板倾斜角度引入的误差	均匀分布	$\sqrt 3 $	${u_{3 - x}^{}} = {u_{3 - y}^{}} = 0.13$
4	重复测量	均匀分布	$\sqrt 3 $	${u_{4 - x}^{}} = {u_{4 - y}^{}} = 0.26$

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Jing CAO, Junbiao CHEN, Hui TIAN, Fan WANG, Baowei LIU. Calibration method for multi-sky-screen target density based on double theodolites and bullet holes screen[J]. Journal of Applied Optics, 2021, 42(5): 906

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Paper Information

Category: OPTICAL METROLOGY AND MEASUREMENT

Received: Dec. 11, 2020

Accepted: --

Published Online: Oct. 26, 2021

The Author Email: Baowei LIU (lbws2002@163.com)

DOI:10.5768/JAO202142.0503005

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Projectile coordinates

Table 1. Projectile coordinates

Table 2. Comparison of coordinates between multi-sky-screen target and double theodolites

Table 2. Comparison of coordinates between multi-sky-screen target and double theodolites

Table 3. Results of firing density calculation

Table 3. Results of firing density calculation

Table 4. Summary of uncertainty components of bullet holes coordinates measurement

Table 4. Summary of uncertainty components of bullet holes coordinates measurement