无控旋转弹丸外弹道姿态测试与模型验证  

External Ballistic Attitude Test and Model Validation of Non-controlled Rotating Projectiles

作　　者：李嘉欣 沈大伟[1] 马铁华[1] 张煜 裴东兴[1] LI Jiaxin;SHEN Dawei;MA Tiehua;ZHANG Yu;PEI Dongxing(Key Laboratory of Instrumentation Science&Dynamic Measurement of Ministry of Education,North University of China,Taiyuan 030051,Shanxi,China)

机构地区：[1]中北大学仪器科学与动态测试教育部重点实验室,山西太原030051

出　　处：《火炮发射与控制学报》2021年第3期47-51,共5页Journal of Gun Launch & Control

基　　金：山西省装备预研重点实验室基金(612420010402001)。

摘　　要：针对传统的外弹道测量手段本身所存在的危险性以及测试过程不可逆,难以满足新型武器系统的外弹道测试需求的问题,提出了一种安全准确的外弹道理论研究方法,利用MATLAB仿真软件求解弹丸的飞行姿态。以无控旋转弹丸为研究对象,依据弹箭飞行动力学理论,运用质心运动定理和动量矩定理分析弹丸的质心运动和绕质心转动的飞行过程,建立弹丸飞行姿态的数学模型,应用龙格-库塔法进行模型求解以及数据分析处理,得到弹丸的外弹道转速与章动曲线,并与实验测试曲线进行对比分析,所得结果基本一致,从而验证了所建立的旋转弹丸姿态数学模型的合理性。In view of the dangers inherent in traditional external ballistic measurement means and the irreversibility of the testing process,it is difficult to meet the requirements of the new weapon system′s external ballistic testing.A safe and accurate external ballistic theoretical research method is proposed,with MATLAB simulation software used to solve the flight attitude of the projectile.By controlling rotation of the projectile as the research object,based on the play arrow flight dynamics theory,using the mass center movement theorem and the analysis of moment of momentum theorem of the projectile centroid movement and around the center of mass of flight process,a mathematical model of the flight attitude of the projectile was established,with the Lundgren-Kutta method applied to the solution of the model and data analysis processing to obtain the rotation speed and the nutation outside ballistic curve of the projectile.Through a comparative analysis of the nutation outside ballistic curve with the experimental test curves,the results show that the rotational speed is basically consistent with the nutation curve,thus verifying the reasonableness of the established mathematical model of the rotating projectile attitude.

关 键 词：外弹道 MATLAB软件 弹丸转速 弹丸章动 仿真测试 

分 类 号：TJ410[兵器科学与技术—火炮、自动武器与弹药工程]