弹丸最大射程落点诸元与弹道系数和初速关系经验公式  

Empirical Formula of the Relationship of Maximum Range Elements and Ballistic Coefficient and Initial Velocity

作　　者：王朋 王雨时[1] 闻泉[1] WANG Peng;WANG Yushi;WEN Quan(School of Mechanical Engineering, NJUST, Nanjing 210094, China)

机构地区：[1]南京理工大学机械工程学院,江苏南京210094

出　　处：《探测与控制学报》2020年第5期76-83,共8页Journal of Detection & Control

摘　　要：针对在弹道系数和初速已知的情况下引信及弹药设计、性能质量分析、试验数据评估时弹道环境信息不足的问题,利用SPSS12.0 for Windows和1stOpt分别对炮弹的弹道系数,包括初速与全飞行时间、落地速度、最大射程角和最大射程等进行了相关性分析和经验公式拟合,提出了利用拟合函数关系式得到具有较高精度的快速弹道诸元近似预估值的方法。拟合结果表明:全飞行时间、落速和最大射程角的均方根误差比较小,预测值接近于真实值,得出的函数关系式可信;最大射程的均方根误差较大,预测模型预测误差较大,但是R方拟合优度最接近于1,拟合趋势最接近于真实的情况。Aiming at the problem of insufficient ballistic environment information in fuze and ammunition design,performance and quality analysis,and test data evaluation when ballistic coefficient and muzzle velocity were known,using SPSS12.0 for Windows and 1stOpt,correlation analysis and empirical formula fitting were carried out for the ballistic coefficients of shells,including initial velocity and full flight time,landing velocity,maximum range angle and maximum range,etc.An approximate estimation method of fast trajectory elements with high accuracy was proposed by using the fitting function relation.The fitting results showed that the root mean square error of full flight time,landing speed and maximum range angle was small,the predicted value was close to the real value,and the obtained function relation was reliable,and the root mean square error of the maximum range was large,and the prediction model had a large prediction error.However,the goodness of fitting of R squared was closest to 1,and the fitting trend was closest to the real situation.

关 键 词：外弹道学 曲线拟合 经验公式 弹道系数 落点诸元 

分 类 号：TJ012.3[兵器科学与技术—兵器发射理论与技术]