带扰流片旋转稳定弹动态稳定性

为发展一种新型弹道修正弹，以带扰流片旋转稳定弹为研究对象对其进行动态稳定性分析。推导带扰流片旋转稳定弹的动力学模型并简化得到其非齐次角运动方程，求得攻角在阶跃激励下的瞬态响应和稳态响应解析解。根据非线性角运动方程分析旋转弹结构参数、飞行参数和气动参数对系统分岔特性及稳定性的影响，通过数值计算分析带扰流片旋转稳定弹的修正能力。结果表明：求得的攻角解析解具有较高的精度；气动参数对动力学系统平衡点的稳定域影响较大；扰流片的控制效率很高。研究结果为带扰流片旋转稳定弹的结构参数设计提供了参考。

Dynamic Stability of Spin-stabilized Projectile with Spoiler

The dynamic stability of spin-stabilized projectile with spoiler is analyzed to develop a new type of trajectory correction projectile. The dynamic model of the spin-stabilized projectile with spoiler is derived and simplified to obtain its non-homogeneous angular motion equation. The analytical solutions of the transient and steady-state responses of angle of attack under step excitation are obtained by using the non-homogeneous angular motion equation. The effects of structural, flight and aerodynamic parameters on the bifurcation characteristics and stability of the system are analyzed based on the nonlinear angular motion equation. The correction ability of the spin-stabilized projectile with spoiler was analyzed by numerical calculation. The results show that the analytical solution of the angle of attack has high accuracy, the aerodynamic parameters have a great influence on the stability region of the equilibrium point of the dynamic system, and the control efficiency of the spoiler is very high.