固定鸭舵双旋弹角运动特性与控制稳定性研究

Study on angular motion characteristics and control stability with fixed canard dual-spin projectile

为深入理解固定鸭舵双旋弹的弹道修正力学本质,对固定鸭舵控制下的角运动特性和控制稳定性进行了研究。依据弹箭外弹道学知识,建立固定鸭舵双旋弹的复攻角运动方程,推导出起控后舵面控制力项对应的特解以及由此产生的起始扰动项对应的通解表达式,从理论上阐述了固定鸭舵起控后双旋弹复攻角运动是由复动力平衡角、复控制平衡角的强迫角运动和舵控起始扰动产生的自由角运动综合构成的运动,基于此提出了固定鸭舵双旋弹的控制稳定性条件,并通过求解舵面控制力和复扰动攻角引起的复偏角运动,分析了固定鸭舵双旋弹弹道修正的力学本质。控制固定鸭舵在不同滚转角方位时的弹道数值计算结果表明,理论推导的角运动解析解与数值解在频率和幅值上基本吻合,验证了本文推导的复攻角运动方程及其解析解和建立的控制稳定性条件合理可行,为该类弹丸的研制提供了理论依据与设计参考。

To deeply understand the nature of trajectory correction mechanics of fixed canard dual-spin projectile,the angular motion characteristics and control stability under the control of fixed canard were studied.According to the knowledge of exterior ballistics of rocket and projectile,the complex attack angle motion equation of the fixed canard dual-spin projectile is established,the expressions of the specific solution corresponding to the control force term of canard surface and general solution corresponding to the resulting initial disturbance term are derived.It is theoretically explained that after the fixed canard takes control,the complex attack angle motion of a dual-spin projectile is composed of the forced angular motion of the complex dynamic equilibrium attack angle with the complex control equilibrium attack angle,and the free attack angle motion generated by the initial disturbance of the canard control.Based on this,the control stability condition of the fixed canard dual-spin projectile is proposed,and the mechanical nature of the trajectory correction of the fixed canard dual-spin projectile is analyzed by solving the complex velocity deflection angle caused by the control force of the canard surface and the complex disturbance attack angle.The numerical calculation results of the trajectory that the fixed canard is controlled at different roll angles show that the angular motion’s analytical solution deduced theoretically is consistent with the numerical calculation results in terms of frequency and amplitude.It’s verified that the complex attack angle motion equation under the control of fixed canard deduced in this paper and its analytical solution and the control stability condition are reasonable and feasible,which provides a theoretical basis and design reference for the development of this type of projectile.