基于陀螺力学的旋转导弹锥形运动分析

针对旋转导弹飞行中弹体的锥形运动,利用陀螺动力学中的双自由度陀螺线性扰动方程建立数学模型,分别分析了纵向静稳定力矩和侧向力矩对旋转导弹锥形运动的作用机理;利用布尔加可夫相空间方程组,分析线性气动阻尼对旋转导弹的锥形运动的影响。结果表明,旋转导弹锥形运动的幅度随弹体气动静稳定性而增加,故气动参数mzα的选择应以导弹质心最靠后时仍能保持弹体纵向中立静稳定为标准,而且线性气动阻尼对旋转导弹的锥形运动的稳定是不利的,并最后导致旋转导弹锥形运动的发散。

Coning Motion Analysis of Spinning Missile Based on Gyrodynamics

Aiming at the coning motion of spinning missiles in flight,a mathematic model is constructed by means of two-degree of freedom gyro linear equation,and principles of the coning motion influenced by a longitudinal static moment and a lateral stabic moment are analyzed respectively,and the effect of linear aerodynamic damping on the coning motion is analyzed with the Bulgakov phase space theory.The study indicates that the amplitude of coning motion increases with the increase of the aerodynamic static stabil...