带弹性伸展附件充液航天器姿态动力学研究

摘要

研究了带弹性伸展附件充液航天器姿态动力学问题.利用动量矩定理、动量矩守恒定律、牛顿运动定律导出液体运动方程、系统运动方程、弹性板质量微元运动方程.在板等速伸展的情况下,对板质量微元运动方程进行变换,通过尤格 -库塔积分法求出板振动的振幅,再由系统运动方程求出航天器姿态角速率.%In this paper attitude dynamics of liquid-filled spacecraft with elasticappendages is studied. Motional equations of liquid, motional equationsof system and motional equations of particle of elastic plates areobtained by using the theorem of angular momentum, the conservation lawof angular momentum and Newton's motional law. When elastic platesdeploy at uniform velocity of plates motional equations of plates arealternated. Using Runge-Kutta method, the plate's amplitudes ofvibration are obtained. Using motional equations of system,the attitudeangular velocities of spacecraft are obtained.