炮弹初速减退量状态方程的构建与应用

Construction and Application of State Equation of Initial Velocity Reduction of the Shell

基于火药爆燃对炮管烧蚀导致的初速减退量与弹头在炮膛内运动速度成正比的设定下,导出了初速减退量在炮管全寿命周期内的状态方程。利用此状态方程导出了可混用不同装药号与弹种条件下,炮管寿命终止的自动判别法则;将导致初速偏差的其他误差源的状态方程共同联立后,利用卡尔曼一步预测,在无偏最小方差意义下,给出了基于测速雷达的初速偏差修正量的递推表达式。

Based on the setting of the initial velocity decrease caused by the ablation of the gun by the gunpowder detonation and the velocity of the warhead in the bore, the equation of state of the initial velocity decrease during the life cycle of the barrel is derived. Using this equation of state, the automatic discriminant rule for the end of life of the barrel can be obtained under different conditions of loading and bombing;the equations of state of other error sources that cause the initial velocity deviation are jointly connected, and then the Kalman step prediction is used. In the sense of unbiased minimum variance, a recursive expression of the initial velocity deviation correction based on the speed radar is given.