光电工程, 2016, 43 (9): 26, 网络出版: 2016-12-09  

四光幕阵列的平面方程模型与解算

Model and Solution of Planar Equation for Four Light Screen Array
作者单位
西安工业大学 陕西省光电测试与仪器技术重点实验室,西安 710032
摘要
针对传统基于三角形原理的测量方法对结构参数要求严格、装调难度大的不足,提出了一种基于空间解析几何原理的平面方程模型和算法。采用最小二乘法曲线拟合的方法确定已标定的两个倾斜光幕的平面方程,通过弹道线与四个光幕的平面方程组的联立求解,实现弹丸速度和着靶位置的精确测量。文中的方法降低了对两倾斜光幕的安装和装调难度,采用实弹射击的方式对所提方法进行验证,结果表明:所提的四光幕阵列的平面方程模型与算法简化了四光幕阵列结构装调,节省了人力,提高了测量精度。
Abstract
In view of the traditional measuring method based on the triangle principle strict requirements on the structure parameters and difficult alignment, a new measurement model based on the space geometry principle was put forward. The corresponding plane equation of the two incline light screens calibrated was carried out by the least square method. The projectile flying velocity and the impacting coordinates would be calculated by solving the simultaneous equations among the ballistic trajectory line equation and the four light screens’ equations. The measurement method reduced the demands and simplified difficulty of the installation and adjustment. The method was verified by the real fire tests. The results show that the planar equation model and algorithm can be used successfully. Above all, the model and algorithm simplified the installation and adjustment of the four light screen array structure saved manpower and improved the measurement accuracy.

蔡荣立, 倪晋平, 武志超, 冯斌, 尚羽超. 四光幕阵列的平面方程模型与解算[J]. 光电工程, 2016, 43(9): 26. CAI Rongli, NI Jinping, WU Zhichao, FENG Bin, SHANG Yuchao. Model and Solution of Planar Equation for Four Light Screen Array[J]. Opto-Electronic Engineering, 2016, 43(9): 26.

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