确定射程弹道修正弹阻力器展开时刻的算法研究

Research on Deciding the Deployment Time of Damper for Range Correction Projectiles

用增阻系数的概念,建立了增阻式射程弹道修正弹的质心运动方程组。对弹丸的纵向速度和纵向加速度进行了理论分析和数值仿真试验,得出了在弹道末段弹丸的纵向加速度保持不变的结论。并据此分析了阻力器作用时间与作用距离及修正距离的关系,指出了阻力器作用距离和修正距离均与阻力器作用时间呈二次关系,并用计算机仿真验证了这一结果。根据这个结论,用时间修正系数的概念推导了阻力器展开时刻的近似计算公式。为了进一步提高修正精度,提出了采用比例加速收敛的算法,在较少的弹道重复计算次数内达到预定的落点精度。仿真结果表明了这一算法的正确性与可行性。

The mass center motion equations of a damp-increasing range correction projectile were established by the concept of damp-increasing coefficients. The conclusion that the longitudinal acceleration is invariable in terminal trajectory of the projectile was obtained by theoretical analysis and numerical simulation. The quadratic relationships between s2 vs. At and Ad vs. At were acquired by above conclusion and verified by numerical simulation. Base on the relationships, the approximate formula of the damper deployment time was deduced by time correction factors. To improve the correction precision further, a proportional acceleration convergence algorithm was adopted, and the predicted precision of falling point was achieved by the algorithm in less times of trajectory repeat computation. The simulation result shows that the algorithm is correct and feasible.