摘要
空空导弹的杀伤概率是衡量空空导弹武器系统的关键指标。研究了提高空空导弹杀伤概率精度与速度的计算方法,根据导弹的杀伤原理,建立了空空导弹杀伤概率的数学模型,运用复合辛普森算法对空空导弹杀伤概率模型进行了计算。首先,根据引信最大有效引爆距离所对应的脱靶量以及战斗部有效杀伤条件所对应的脱靶量确定积分上下限;其次,将积分区间分成n等份,在每个区间上用辛普森公式求积并且对结果求和得到概率值;最后,运用复合辛普森法、矩形法和复合梯形法对空空导弹杀伤概率模型进行计算。实验结果表明,运用复合辛普森法计算空空导弹杀伤概率比运用矩形法和复合梯形法计算空空导弹杀伤概率精度高、速度快。所以复合辛普森法是一种理想的空空导弹杀伤概率计算方法。
The probability of air-to-air missile killing is the critical indicators to measure the air-to-air missile weapon system.The calculation method to improve the accuracy and speed of air-to-air missile kill probability was researched.The mathematical model of air-to-air missile killing probability was established according to the missile killing principle,and the compound Simpson algorithm was used to calculate the air-to-air missile killing probability model.Firstly,the upper and lower limits of integral were determined according to the miss amount corresponding to the maximum effective detonation distance of fuze and the miss amount corresponding to the effective killing condition of warhead.Secondly,the integral interval was divided into n equal parts,and the product was obtained with Simpson's formula on each interval and the probability value was obtained by summation.Finally,compound Simpson method,rectangle method and compound trapezoid method were used to calculate the air-to-air missile kill probability model.The experimental results show that the compound Simpson method is more accurate and faster than the rectangle method and the compound trapezoid method,so the compound Simpson method is an ideal method to calculate the air-to-air missile killing probability.
作者
李爱国
孟亚楠
何宗康
杨梅梅
LI Ai-guo;MENG Ya-nan;HE Zong-kang;YANG Mei-mei(School of Computer,Xi’an University of Science and Technology,Xi’an Shanxi 710054,China)
出处
《计算机仿真》
北大核心
2020年第11期18-22,共5页
Computer Simulation
关键词
空空导弹
导弹杀伤概率
复合辛普森
Air-to-air missile
Missile killing probability
Composite Simpson
作者简介
李爱国(1967-),男(汉族),甘肃张掖人,教授,硕士研究生导师,主要研究领域为数据可视化;孟亚楠(1995-),女(汉族),陕西西安人,硕士研究生,主要研究领域为数据可视化;何宗康(1994-),男(汉族),陕西西安人,硕士研究生,主要研究领域为数据可视化;杨梅梅(1994-),女(汉族),陕西西安人,硕士研究生,主要研究领域为数据可视化。
