论文部分内容阅读
研究了制导炮弹受侧向脉冲推力作用后处于大攻角情况下的非线性运动稳定性问题.应用首次积分描述了弹丸的运动方程,得到了描述攻角余弦变化的多项式,通过对多项式的分析将弹丸角运动稳定性的问题转化为求解多项式的负根问题,最后运用霍尔维茨定理给出了弹丸非线性运动稳定的充分条件,为非线性运动条件下弹丸的飞行形态的预测、脉冲执行机构的设计等问题提供了一定的理论依据.
The nonlinear stability problem of the guided projectile under lateral impulsive thrust is studied. The first integral is used to describe the projectile’s motion equation, and the polynomial describing the cosine of the attack angle is obtained. By analyzing the polynomial The problem of the kinematic stability of projectiles is transformed into the negative root problem of solving polynomial. Finally, the sufficient condition for the nonlinear stability of the projectile is given by Holvitz ’s theorem. The prediction of the projectile flight form under the condition of nonlinear motion, The design of implementing agencies and other issues provide some theoretical basis.