双N形六光幕阵列角度参数反演算法

Inversion Algorithm about Angle Parameters of Double-N Shape Six Light Screen Array

针对双N形六光幕阵列光幕面间的角度难以测量的问题,研究了一种反求角度参数的方法.假定飞行弹丸做匀速直线运动,利用实弹射击后的纸靶坐标和弹丸穿过光幕阵列的时间序列,依据空间两点距离相等的原理建立方程组,求解方程组从而得所要测量的角度参数.化简了双N形六光幕阵列测量公式,推导了反演公式,并进行了仿真验证.仿真结果表明:在给定的仿真条件下,通过计算所得的角度参数α、β的最大值分别为8.016 7°和25.082 7°,最小值分别为7.980 9°和24.919 4°,与假设的角度最大差值小于0.1°.说明所提的反求角度参数的方法可行.其研究结果为双N形六光幕阵列角度参数测量与校准提供参考.

For the difficulty in measuring the angle parameters of double-N shape six light screen array, a kind of inversion algorithm about the angle parameter is studied. Based on the principle of equal distance between two points, a set of equations is established, using the paper target coordinates after firing and the time sequence of the projectile through the light screen arrays, while the flying bullet moves in a uniform linear motion. The equations are solved to acquire angle parameters. In this paper, the measurement formula of double-N shape six light screen array is simplified. The formula of the proposed inversion formula is deduced and simulated. The results show： In a given simulation condition, the maximum angels of α and β are 8. 016 7° and 25. 082 7° and the minimums are 7. 980 9° and 24. 919 4° after calculated. Compared with assumed values, the maximal difference is lower than 0.1°, which proves that the inversion algorithm of angle parameters is feasible. The research results provide a reference to the angle parameters measurement and calibration of double-N shape six light screen.