变参量弹体运动稳定性判据

MOTION STABILITY CRITERION OF MISSILE BODY MITH VARIABLE PARAMETERS

本文根据导弹弹体运动的变参量线性化微分方程组,利用LyaPunov稳定性理论导出了具有充分条件的变参量的弹体自由运动稳定性的判据。在此基础上又利用Popov的超稳定性理论得出了具有充分必要条件的变参量的弹体俯仰或偏航自由运动稳定性判据。这些判据可用于旋转或不旋转的导弹弹体运动稳定性分析与设计中,其中有的结果也可应用到火箭弹上。

Based on the linear differential equations of motion of missile body with variable parameters, the present paper has developed the stability criterion of the free motion of missile body with variable parameters having sufficient conditions, using Lyapunov stability theory. On this basis and using Popov,s superstability theory, the stability criterion of the free pitch or yaw motion fora missile body satisfying the sufficient and necessary conditions have also been developed. These criteria can be applied to the motion stability analysis and the design of rotating or non-rotating missile bodies. Some results of the criteria can also be applied to the motion stability analysis and design of uncontrolled rockets.