Research on dynamic stability rotational speed range of rolling projectiles with different characteristics

Traditional dynamic stability analyses of the rolling projectiles are mainly based on solving the systems’ transfer functions or angular motion's homogeneous equations to obtain their characteristic roots. The solving processes of these methods are complex and lacking further analysis of the results. To solve this problem, Routh stability criterion is introduced to determine the stability of rolling missiles based on the transfer function model, and an important advantage of this method is that it is unnecessary to solve the system's characteristic equation. Rotational speed ranges satisfying the dynamic stability of rolling projectiles with four different characteristics are acquired, and the correctness of analysis results is verified by computing the system's root locus. The analysis results show that the relation between stability and rotational speed for static stable missiles is opposite to that for spin-stabilized projectiles, and the relative size of gyroscopic effect and Magnus effect has an extremely important influence on the trend of the stability of the system with increasing rotational speed.