速射身管武器外弹道弹丸同时穿过光幕概率分析

摘要

In the firing accuracy and dispersion test of rapid-fire weapon,several projectiles fired from a barrel may pass through a light-screen simultaneously.On this condition,some photoelectric target measurement systems cannot measure the exterior ballistic parameters of these projectiles.A qualitative analysis of this phenomenon should be undertaken to obtain the measured values for choosing a reasonable photoelectric target measurement system.The reduced mathematics description of the phenomenon is presented.The two mathematical models for the probability passing through the screen are established,respectively,based on certain and uncertain velocities of the flying projectiles.The change rule of the passing probability with projectiles' flight distance is deduced according to the optimization mathematical model,and the three important parameters,such as critical distance involved in the passing probability,maximum probability and passing probability at direct fire distance.Experiments show that the reasonably chosen photoelectric target measurement system can avoid the measurement data being influenced by the projectiles passing through a screen simultaneously.%在速射身管武器射击密集度试验中,一个身管先后射出的多发弹丸可能会同时穿过一个光幕面.在此情况下,某些光电靶测试系统无法测量到弹丸的外弹道参数.为了能获得这些测量值,必须对此现象做出定性分析,为选择出一种合理的光电靶测试系统来提供参考.对弹丸同时穿过光幕的现象做出简化数学描述;基于弹丸速度确定及不确定两种条件,分别构建弹丸同时穿过光幕概率的两种数学模型;根据最优化数学模型获得弹丸同时过幕的概率与其飞行距离的变化规律,确定了弹丸过幕的概率临界距离、直射距离上最大过幕的概率以及任意距离段上弹丸同时过幕的概率3项重要参数.经试验验证,经过合理选择的光电靶测试系统,可避免弹丸同时过幕而对试验数据造成的影响.