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非轴对称陀螺体自激运动的定性分析 被引量:2

QUALITATIVE ANALYSIS OF SELF-EXCITED MOTION OF AN ASYMMETRICAL GYROSTAT
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摘要 研究非轴对称陀螺体在自激控制力矩作用下的姿态运动。将无力矩状态的两个初积分的积分常数T和G^2作为描述自激运动的状态变量建立其微分方程。利用受扰运动在(T,G^2)空间中的相轨迹判断稳态运动的稳定性,并进行了数值验证。 The attitude motion of an asymmetric gyrostat under the self-excited control torque is investigated. The integral constants T, G^2 of first integrals of a torque-free gyrotat are treated as vari- ables describing the self-excited motion of gyrostat. The differential equations of T, G^2 are estab- lished. The phase trajectories in space (T, G^2) are employed to analyse the stability of steady motion of the gyrostat.
出处 《固体力学学报》 CAS CSCD 北大核心 2003年第2期211-214,共4页 Chinese Journal of Solid Mechanics
关键词 非轴对称陀螺体 自激运动 定性分析 运动稳定性 相轨迹 控制力矩 姿态运动 航天器 gyrostat self-excited motion stability theory phase trajectories
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