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Measurement model and accuracy analysis of parabolic ballistic projectile flight parameters based on random matrix
Journal of Engineering Mathematics ( IF 1.3 ) Pub Date : 2024-01-13 , DOI: 10.1007/s10665-023-10320-4
Rongli Cai

The existing six light screen array measuring methodology of uniform linear trajectory is unable to determine the impact coordinate and flight speed of the terminal parabolic trajectory projectile. With the parabola trajectory in the terminal trajectory test as the objective, a method is presented to test the flight characteristics of a projectile with a variable speed parabola trajectory. By accounting for the effects of air resistance and gravity on the projectile's trajectory, the space motion equation for the projectile is determined. The impact position and flight speed of the terminal parabolic trajectory projectile cannot be determined by the current six light screen array measurement approach of uniform linear trajectory. A technique is described to evaluate the flight properties of a projectile with a variable speed parabola trajectory, with the goal being the parabola trajectory in the terminal trajectory test. The space motion equation for the projectile is calculated by taking into consideration the effects of gravity and air resistance on its trajectory. The precision of the measurement algorithm is assessed. The results show that the measurement error of the impact coordinates in the detection target plane is not larger than 3.5 mm. The developed measurement model expands the use of the six light curtain rays in the field of terminal trajectory measurement.



中文翻译:

基于随机矩阵的抛物线弹道弹飞行参数测量模型及精度分析

现有的六光幕阵列均匀直线弹道测量方法无法确定末端抛物线弹道弹的撞击坐标和飞行速度。以末弹道试验中的抛物线弹道为目标,提出了一种变速抛物线弹道飞行特性测试方法。通过考虑空气阻力和重力对弹丸轨迹的影响,确定弹丸的空间运动方程。现有的均匀直线弹道六光幕阵列测量方法无法确定末端抛物线弹道弹的撞击位置和飞行速度。描述了一种评估具有变速抛物线轨迹的弹丸的飞行特性的技术,其目标是终端轨迹测试中的抛物线轨迹。考虑重力和空气阻力对其轨迹的影响,计算弹丸的空间运动方程。评估测量算法的精度。结果表明,检测目标平面内冲击坐标的测量误差不大于3.5 mm。所开发的测量模型扩展了六种光幕射线在终端轨迹测量领域的用途。

更新日期:2024-01-14
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