摘要
本文应用Pfeiffer思想分别将单个腔内的液体旋度平均化,使之与空间坐标无关,由此将液体的无限自由度问题离散为有限自由度问题,利用动量矩守恒原理代替欧拉方程,采用线性理论分析了轴对称布置的多腔充液刚体陀螺系统的稳定性。
This paper makes an application of the Pfeiffer's theory to discuss the motion of gyro system containing liquid in several completely filled tanks. Averaging the Helmholtz equations over the single liquid volume yields a set of ordinary differentia] equations with constant coefficients, which describe the problem approximately. As a result, the problem of the infinite degree of freedom is separated to the problem of the finite degree of freedom. We make use of the principle of the conservation of the moment of momentum instead of Euler equations, and use the linear theory to analyse the self-spinning stability of the liquid-filled top.
出处
《宇航学报》
EI
CAS
CSCD
北大核心
1992年第2期48-54,共7页
Journal of Astronautics
基金
国家自然科学基金
航空航天部五院资助项目
关键词
陀螺动力学
旋转流体
动力学
卫星
Gyrodynamics, Stability of contained rotating fluids, Dynamics of spacecraft, Helmholtz equations.
