基于修正质点弹道模型的双旋弹控制效果分析

Control Effect Analysis of Dual-Spin Projectile Based on Modified Mass Point Trajectory Model

针对一类固定鸭舵双旋弹,提出基于修正质点弹道模型的控制效果分析方法.将前体鸭舵滚转角作为控制量,在地面坐标系中建立了固定鸭舵双旋弹的6自由度外弹道模型.在鸭舵滚转角保持常值的条件下推导了动力平衡角计算公式,并得到修正质点弹道模型.给出了射程方向修正加速度和侧偏方向修正加速度的计算公式,并提出主导修正系数的定义.分析了主导修正系数对修正方向和修正距离的影响,说明该系数是决定固定鸭舵双旋弹控制效果的关键因素之一.仿真示例表明,用动力平衡角可以近似估算弹丸的攻角而且修正质点外弹道模型与6自由度外弹道模型的位置计算结果接近.

An analysis method was proposed to investigate control effect of a class of fixed canard dual-spin projectile based on mass point modified trajectory model.With the roll angle of forward body regarded as control input,6 DOF exterior ballistic model was constructed in the earth fixed coordinate system.Yaw of repose equations were derived for constant canard roll angle,and mass point modified trajectory model was obtained.Calculation formulas of range correction acceleration and cross range correction acceleration were presented,and the definition of the dominant correction coefficient was proposed.Influence of the dominant correction coefficient on correction direction and correction distance was investigated,and the results show that coefficient was one of the key factors for determining the control effect of fixed canard dual-spin projectile.Simulation examples demonstrate that the angle of attack can be approximated by yaw of repose,and position results are close for 6 DOF exterior ballistic model and mass point modified trajectory model.