基于弹道微分方程的解命中方法研究  

Research on method of hit solving based on ballistic differential equations

作　　者：王雨 张龙[1] 姚新涛[1] 程瑶 彭家宝 WANG Yu;ZHANG Long;YAO Xintao;CHENG Yao;PENG Jiabao(Northwest Institute of Mechanical & Electrical Engineering, Xianyang 712099, China)

机构地区：[1]西北机电工程研究所,陕西咸阳712099

出　　处：《兵器装备工程学报》2022年第S01期148-151,158,共5页Journal of Ordnance Equipment Engineering

摘　　要：提出一种基于弹道微分方程的解命中方法。提出了在参数有限、无射表数据的情况下进行弹道仿真和设计面临的基本问题:考虑不依赖射表即可快速精确地求解命中,确定射击诸元。提出了求解命中问题的方法,设计了算法流程框图,介绍了迭代计算方法。建立了目标和弹丸数学模型,通过仿真试验对算法进行验证,仿真结束时弹丸飞行长度为3.4 km,终点弹目偏差为0.03 m。表明命中解法正确,为弹道快速仿真和设计提供了条件。The paper furnished a method of hit solving based on the ballistic differential equation.Firstly,in case of limited parameters and no firing table,the paper put forward a basic question when emulating and designing the ballistic:how to solve the hitting point quickly and accurately without relying on the firing table,so as to determine the firing data.Secondly,the paper comes up with a method to solve the hitting problem,designs a algorithm of flow chart,and introduces the methods of the iterative calculation briefly.Finally,the paper establishes the mathematical models of the target and projectile,tests the algorithm by simulation experiments.The simulation results indicate that the space error between the target and projectile is about 5m while the oblique distance of projectile is about 4 km.The results show that the hitting solution is correct,and it provides conditions for rapid ballistic simulation and design.

关 键 词：弹道微分方程 迭代计算 命中解法 仿真试验 

分 类 号：TJ41[兵器科学与技术—火炮、自动武器与弹药工程]