摘要
本文建立以动量矩分量和Deprit正则变量为独立变量的陀螺体动力学方程,用以描述无力矩非对称陀螺体的姿态运动。在动量矩空间内讨论了陀螺体永久转动轴的数目和稳定性随转子转速变化的分岔特性。
In present paper the dynamical equations of a gyrostat are established by using the components of angular momentum and the Deprit canonical variables as independent variables. The attitude , otion of a torque-free asymmetrical gyrostat is analysed, and the bifurcation behavior of number and stability of permanent rotation axes of gyrostat as the rotor speed increases is discussed in the space of angular momentum.
出处
《上海力学》
CSCD
1998年第4期305-309,共5页
Chinese Quarterly Mechanics
基金
国家自然科学基金(19782003)
国家教委博士点专项科研基金(9524831)
关键词
陀螺体
分岔
运动稳定性
正则方程
动量矩
gyrostat, bifurcation, theory of stability, canonical equations.
