推力作用下变质量柔性自旋飞行器稳定性分析

针对变质量柔性自旋飞行器推力作用下稳定性问题，以Timoshenko梁为模型，考虑陀螺效应和剪切效应，基于有限元法建立系统振动方程，分析质量变化、推力作用和自旋转速对系统振动的影响，采用自适应Newmark法求解系统的振动响应。结果表明：质量和推力能够改变固有频率、进动频率和临界转速；受质量变化影响，自旋转速与临界转速相等时，飞行器发生短暂共振，共振响应峰值最大时刻与此重合时刻相比稍有延迟。

Stability Analysis of Variable Mass Flexible Spinning Projectile under Thrust

The stability of a variable-mass flexible spinning projectile under thrust is researched. The spinning projectile is simplified as a Timoshenko beam model, considering gyroscopic effect and shear effect, motion equations are derived based on the finite element method to analyze the effects of variable-mass, follower thrust and spinning speeds on the stability of the spinning projectile. Using the self-adaptive Newmark method, the transverse vibration response of the spinning projectile is solved. The results show that the variable-mass and thrust have influence on the natural frequency, precession frequency and critical speed. When the spinning speed is equal to the critical speed, the projectile occurs a transient resonance under the influence of the mass, and the peak time of the resonance response is slightly delayed compared with the coincidence time.