推力和阻力作用下柔性自旋飞行器稳定性分析

针对柔性自旋飞行器动力学问题，开展了在推力和阻力作用下动力稳定性研究。柔性自旋飞行器简化为非均匀、自由-自由的Timoshenko回转梁模型，基于转子动力学理论和有限元方法，考虑陀螺效应，在瞬态坐标系下建立了推力和阻力作用柔性自旋飞行器的横向振动方程。在平均轴系和瞬态坐标系下分别从自旋转速、推力和阻力3个方面，分析了自旋飞行器动力稳定性和横向振动响应效应。研究结果表明：在瞬态坐标系下，阻力能够提高自旋飞行器稳定性，自旋转速不改变失稳区域;与之相反，在平均轴系下，阻力能够降低自旋飞行器稳定性，使临界推力和临界转速减小；自旋转速能够增大失稳区域，使静态失稳变为动态失稳；转动惯量和剪切效应能降低系统稳定性，相比于转动惯量，剪切效应影响更大，特别是对2阶频率影响。

Analysis about the Dynamic Stability of Flexible Spinning Vehicle under Thrust and Drag Load

The dynamics stability under thrust and drag load is researched for dynamics stability of a flexible spinning vehicle. Spinning vehicle is simplified as a non-uniform free-free Timoshenko beam model considering gyroscopic effect. The transverse vibration equation of spinning vehicle in the transient coordinate system is derived using rotor dynamics theory and finite element method. Dynamic stability and transverse vibration response effect of flexible spinning vehicle in the mean axis system and the transient coordinate system are analyzed from spinning speed, thrust and drag. Results show that the drag can be used to improve the stability of spinning vehicle, and the spinning speed has no effect on the instability region in the transient coordinate system; in the mean axis system, the drag leads to the reduction in the stability of vehicle and the decrease in critical thrust and critical speed, and the spinning speed can result in the increase in instability region and make the static instability become the dynamic instability. The moment of inertia and shear effect reduce the system stability. The shear effect has a greater influence especially on the second-order frequency compared with the moment of inertia of transient coordinate system.