卷弧翼火箭弹圆锥运动收敛速度计算方法

为研究卷弧翼火箭弹圆锥运动稳定情况下的收敛速度,以章动角坐标系下描述其运动性态的微分方程组为基础,运用小偏差线性化方法和劳斯判据得到了卷弧翼火箭弹圆锥运动的渐近稳定性判别条件.在满足该条件的情况下,推导了圆锥运动收敛速度的通用计算公式,并指出圆锥运动的过渡过程是指数收敛过程和振荡收敛过程的叠加.算例表明,该计算公式所得结果与原非线性方程组所得结果吻合较好.最后,指出只适用于小锥角情况是该方法的局限性,并给出了进一步的研究方向.

Research on convergence speed of coning motion of wrap-around-fin rockets

Aiming at research on the convergence speed of transient process of the coning motion of the wrap-around-fin(WAF) rockets in steady process,the criterion to judge the asymptotic stability was deduced by means of small deviations linearization theory and Routh criterion based on the coning motion differential equations in nutation angle coordinate.The general formula was deduced under above-mentioned condition.It is indicated that the transient process is the superposition of exponential convergence process ...