旋转弹丸刚体外弹道微分方程组数值解算初始条件  

Numerical-solution Initial-conditions for Rigid-body Trajectory Differential-equations of Rotating Projectile

作　　者：回建豪 王雨时[1] 闻泉[1] HUI Jianhao;WANG Yushi;WEN Quan(School of Mechanical Engineering,Nanjing University of Science and Technology,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：《弹道学报》2025年第1期36-43,共8页Journal of Ballistics

摘　　要：针对旋转弹丸刚体外弹道微分方程组数值解算初始条件问题,运用刚体动力学理论,分析了外弹道初始时刻的章动运动和进动运动规律,给出了弹丸绕质心运动的初始章动角和初始进动角的取值范围。通过建立外弹道坐标系,推导出初始速度方位角和初始弹轴高低角与初始章动角和初始进动角的转换关系,证明了当初始章动角和初始进动角不为零时,初始弹轴高低角不等于射角,初始弹轴方位角也不等于初始速度方位角。以某155 mm火炮底凹榴弹为例进行仿真研究,发现初始章动角对外弹道弹丸质心运动中的偏流以及绕质心运动中的章动和进动规律均有影响。所给出的外弹道数值解算初始条件及其取值范围可用于旋转弹丸刚体外弹道微分方程组数值解算。In order to solve the problem of initial conditions for the numerical-solution of the differential equations of rotating-projectile rigid-body trajectory,the rigid-body dynamics theory was applied to analyze the nutation and precession motion at the initial moment of trajectory.The range of values for the initial nutation-angle and initial precession-angle of the projectile moving around the center of mass was provided.By establishing the trajectory coordinate-system,the transformation relationship between the initial velocity azimuth angle and the initial projectile-axis elevation angle,with the initial nutation angle and initial precession angle,was derived.While the initial nutation-angle and the initial precession-angle are not zero,the initial elevation-angle of projectile axis is not equal to the firing angle,and the initial azimuth-angle of the projectile axis is also not equal to the initial velocity azimuth angle.The 155 mm gun-howitzer projectiles with bottom concave was taken as an example for simulation research.The result shows that the initial nutation angle has an impact on the drift,as well as the nutation and precession laws in its motion around the mass center.The initial conditions and values range provided for the numerical solution of the trajectory can be used for numerical solution of the differential equations of rotating-projectile rigid-body trajectory.

关 键 词：外弹道 旋转弹丸 刚体外弹道 外弹道解算 初始条件 

分 类 号：TJ012.3[兵器科学与技术—兵器发射理论与技术]