应用质心定理分析单级延伸锥的展开规律

本文对单级附性作动筒套筒式延伸锥,应用质心运动定理建立平衡关系,得到一个二阶常微分方程,然后应用四阶龙格-库塔方法得到相应时间作动筒外筒相对内筒的位置、速度和加速度,相应时间延伸锥的位置、速度和加速度,及延伸锥完全展开所需时间的数值解。 

A STUDY ON DEPLOYMENT RULE OF SINGLE EXTENDIBLE EXIT CONE BY MASSCENTER MOVEMENT THEOREM

The deployment rule of the single extendible exit cone is investigated in this paper. The cone is divided into four pieces in the direction of meridian. As a result, the actuators are just located in the middle of each piece. Each piece of the cone can thus be simplified into a moving mechanism. Based on the force balance between the mechanisms, a second ordes ordinary differential equation is derived by applying the mass center movement theorem. The numerical solutionof the equation can be obtained by means of the fourth order Runge-Kutte method. The time-dependent parameters, such as position, velocity and accelerationof the external sleeve of the actuator relative to the internal tube, and the time needed for fully deploying the cone can then be obtained by using other related equations.