高原环境对弹丸动态稳定性的影响

分析了高原环境低空气密度对弹丸动态稳定性的影响。给出了弹道坐标系中的力方程组和非滚转弹体坐标系中的力矩方程组,并通过线性化方法得到弹丸角运动的状态空间模型。列出了角运动状态矩阵的四个特征根,并利用复数平方根计算方法得到特征根实部的表达式。提出弹丸动态稳定性稳定因子的新定义,并证明新的动态稳定条件与传统的动态稳定条件是一致的。讨论了低空气密度对尾翼稳定弹和旋转稳定弹动态稳定性的影响,并通过仿真说明弹丸在高原条件和平原条件下的动态稳定性存在差异。

Influence of plateau environment on dynamic stability of projectiles

The influence of low air density in the plateau environment on dynamic stability of projectiles was investigated. The force equations were presented in ballistic trajectory frame and the moment equations were presented in the non-rolling body frame, and the state space model of projectile angular motion was obtained by linearization method. Four eigenvalues of the angular motion state matrix were listed, and the equations of real parts of eigenvalues were derived by complex square root calculation method. The novel definition of stability factor for projectile dynamic stability was proposed, and it is proved that the new dynamic stability criteria is consistent with the traditional dynamic stability criteria. The influence of low air density on dynamic stability of fin-stabilized projectile and spin-stabilized projectile were discussed. Simulation results demonstrate that the projectile dynamic stability is different between plateau condition and plain condition.