Fig. 1. Relationship between resistance coefficient and mach number
Fig. 2. Schematic diagram of double zone-block velocity measurement
Fig. 3. Influence of velocity measuring point position on errors
Fig. 4. Influence of interception plane spacing on errors
Fig. 5. Error of attenuation coefficient B
Fig. 6. Relative error of attenuation coefficient B
Fig. 7. Velocity error
Fig. 8. Velocity relative error
Fig. 9. Velocity error
Fig. 10. Velocity relative error
Fig. 11. Schematic diagram of light curtain arrangement
Fig. 12. Experimental site
Fig. 13. Acquisition software interface of projectile passing time
Fig. 14. Software interface for calculating attenuation coefficient and projectile velocity
Fig. 15. Schematic diagram of light curtain arrangement of rifle experiment
| 解算测速点变化量 | 第二幕面距离变化量 | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | 1 | 0.02×10−5 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | | 2 | 0.01 | 0.07×10−5 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | | 3 | 0.02 | 0.01 | 0.01×10−4 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | | 4 | 0.03 | 0.02 | 0.01 | 0.03×10−4 | 0.01 | 0.02 | 0.03 | 0.04 | | 5 | 0.04 | 0.03 | 0.02 | 0.01 | 0.04×10−4 | 0.01 | 0.02 | 0.03 | | 6 | 0.05 | 0.04 | 0.03 | 0.02 | 0.01 | 0.06×10−4 | 0.01 | 0.02 | | 7 | 0.06 | 0.05 | 0.04 | 0.03 | 0.02 | 0.01 | 0.08×10−4 | 0.01 | | 8 | 0.07 | 0.06 | 0.05 | 0.04 | 0.03 | 0.02 | 0.01 | 0.01×10−3 |
|
Table 1. Error data of velocity measuring pointsm/s
| 序号 | v1-2/m·s−1 | v1-3/m·s−1 | b12-13 | vt/m·s−1 | v2-3/m·s−1 | 误差/m·s−1 | 相对误差/% | | 1 | 39.966 | 39.826 | 0.009 362 | 39.686 | 39.687 | 0.000 | −1.23×10−5 | | 2 | 46.978 | 46.812 | 0.009 421 | 46.647 | 46.648 | −0.001 | −1.25×10−5 | | 3 | 39.052 | 38.923 | 0.008 872 | 38.793 | 38.794 | 0.000 | −1.11×10−5 | | 4 | 41.572 | 41.431 | 0.009 075 | 41.290 | 41.290 | 0.000 | −1.15×10−5 | | 5 | 44.371 | 44.240 | 0.007 877 | 44.109 | 44.110 | 0.000 | −8.68×10−6 | | 6 | 41.247 | 41.111 | 0.008 858 | 40.974 | 40.975 | 0.000 | −1.1×10−5 | | 7 | 42.132 | 41.986 | 0.009 272 | 41.841 | 41.841 | −0.001 | −1.2×10−5 | | 8 | 42.522 | 42.380 | 0.008 905 | 42.239 | 42.239 | 0.000 | −1.12×10−5 |
|
Table 2. Test data of slingshot shooting 6 mm steel ball
| 序号 | v1-2/m·s−1 | v1-3/m·s−1 | b12-13 | vt/m·s−1 | v2-3/m·s−1 | 误差/m·s−1 | 相对误差/10−5 % | | 1 | 42.450 | 42.213 | 0.014 901 | 41.978 | 41.979 | −0.001 | −3.09 | | 2 | 27.511 | 27.394 | 0.011 371 | 27.277 | 27.278 | 0.000 | −1.82 | | 3 | 41.393 | 41.051 | 0.022 131 | 40.712 | 40.714 | −0.003 | −6.83 | | 4 | 44.392 | 44.129 | 0.015 816 | 43.868 | 43.870 | −0.002 | −3.49 | | 5 | 54.301 | 53.982 | 0.015 689 | 53.665 | 53.667 | −0.002 | −3.43 | | 6 | 57.467 | 57.073 | 0.018 326 | 56.682 | 56.685 | −0.003 | −4.69 | | 7 | 58.009 | 57.648 | 0.016 655 | 57.289 | 57.291 | −0.002 | −3.87 | | 8 | 54.921 | 54.571 | 0.017 032 | 54.224 | 54.226 | −0.002 | −4.05 |
|
Table 3. Test data of slingshot shooting 10 mm mud pellet
| 序号 | v1-2/m·s−1 | v1-3/m·s−1 | b12-13 | vt/m·s−1 | v2-3/m·s−1 | 误差/m·s−1 | 相对误差/10−5 % | | 1 | 189.251 | 188.584 | 0.009 404 | 187.921 | 187.923 | −0.002 | −1.24 | | 2 | 154.607 | 154.004 | 0.010 424 | 153.403 | 153.406 | −0.002 | −1.52 | | 3 | 146.456 | 145.758 | 0.012 728 | 145.064 | 145.068 | −0.003 | −2.27 | | 4 | 150.784 | 150.150 | 0.011 235 | 149.519 | 149.522 | −0.003 | −1.77 | | 5 | 148.839 | 148.207 | 0.011 354 | 147.577 | 147.580 | −0.003 | −1.8 | | 6 | 143.349 | 142.884 | 0.008 651 | 142.422 | 142.423 | −0.001 | −1.05 | | 7 | 136.190 | 135.685 | 0.009 908 | 135.182 | 135.184 | −0.002 | −1.38 | | 8 | 126.753 | 126.220 | 0.011 243 | 125.689 | 125.691 | −0.002 | −1.77 |
|
Table 4. Test data of air gun shooting 6 mm steel ball
| 序号 | v1-2/m·s−1 | v1-4/m·s−1 | b12-14 | vt/m·s−1 | v2-4/m·s−1 | 误差/m·s−1 | 相对误差/% | | 1 | 824.402 | 822.740 | 0.000 734 | 822.438 | 822.438 | 0.000 | −4.86×10−7 | | 2 | 853.971 | 851.304 | 0.001 138 | 850.819 | 850.820 | −0.001 | −1.06×10−6 | | 3 | 855.432 | 854.213 | 0.000 519 | 853.992 | 853.992 | 0.000 | −2.34×10−7 | | 4 | 839.631 | 837.155 | 0.001 074 | 836.706 | 836.707 | −0.001 | −8.37×10−7 | | 5 | 838.926 | 836.940 | 0.000 862 | 836.579 | 836.579 | 0.000 | −5.98×10−7 | | 6 | 839.631 | 838.127 | 0.000 652 | 837.854 | 837.854 | 0.000 | −3.58×10−7 | | 7 | 829.187 | 826.402 | 0.001 224 | 825.897 | 825.898 | −0.001 | −1.33×10−6 | | 8 | 838.223 | 835.756 | 0.001 072 | 835.308 | 835.308 | −0.001 | −9.58×10−7 |
|
Table 5. Test data of rifle
| 测试模式 | B均值 | B标准差σ | 速度相对误差均值/% | 速度相对误差标准差σ/% | | 弹弓发射钢珠 | 0.008 955 | 0.000 490 | −1.13×10−5 | 1.2×10−6 | | 弹弓发射泥丸 | 0.016 490 | 0.003 055 | −3.91×10−5 | 1.44×10−5 | | 气枪发射钢珠 | 0.010 618 | 0.001 290 | −1.6×10−5 | 3.85×10−6 | | 步枪发射7.62 mm | 0.000 909 | 0.000 255 | −7.33×10−7 | 3.77×10−7 |
|
Table 6. Test statistics
