弹道学报2025，Vol.37Issue(1)：36-43,8.DOI:10.12115/ddxb.2023.12004
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
回建豪 1王雨时 1闻泉1
作者信息
- 1. 南京理工大学 机械工程学院,江苏 南京 210094
- 折叠
摘要
Abstract
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Key words
trajectory/rotating projectile/rigid-body trajectory/trajectory calculation/initial condition分类
武器工业引用本文复制引用
回建豪,王雨时,闻泉..旋转弹丸刚体外弹道微分方程组数值解算初始条件[J].弹道学报,2025,37(1):36-43,8.
