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| 失重条件下对称充液陀螺的不稳定行为研究 | |
| 引用本文： | 朱如曾,周一峰,张正平,蔡立.失重条件下对称充液陀螺的不稳定行为研究[J].宇航学报,2003,24(2):217-220. |
| 作者姓名： | 朱如曾 周一峰 张正平 蔡立 |
| 作者单位： | 1. 中国科学院力学研究所,非线性力学国家重点实验室,北京,100080 2. 中南大学,土木建筑学院,力学系,长沙,410075 3. 北京强度与环境研究所,北京,100076 |
| 基金项目： | 国家自然科学基金资助项目 ( 192 72 0 64 ) |
| 摘 要： | 对于质心固定的，充满粘性均匀液体的旋转对称陀螺在失重条件下绕对称长轴旋转态的小扰动不稳定及其极限行为进行了研究，所给出的定理3比以往的不稳定定理4]为强，且反映的信息量多很多。关于初始大扰动后的渐近行为，对文8]已给出但未严格证明的两条定理给出了严格证明，它由定理1和定理2所描述。 |
| 关 键 词： | 失重条件 对称充液陀螺 不稳定行为 运动稳定性 |
| 文章编号： | 1000-1328(2003)02-0217-04 |
| 修稿时间： | 2002年7月4日 |
Instability of symmetric gyroscope with liquid-filled cavity under zero-gravitation |
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| ZHU Ru zeng ,ZHOU Yi feng ZHANG Zheng ping ,Cai Li.Instability of symmetric gyroscope with liquid-filled cavity under zero-gravitation[J].Journal of Astronautics,2003,24(2):217-220. | |
| Authors: | ZHU Ru zeng ZHOU Yi feng ZHANG Zheng ping Cai Li |
| Institution: | ZHU Ru zeng 1,ZHOU Yi feng 2 ZHANG Zheng ping 3,Cai Li 1 |
| Abstract: | For a rotationally symmetric zero gravity gyroscope with a cavity completely filled with homogeneous viscous liquid and with the mass center fixed,the instability of the rotation about the longer axis under small disturbance and the limit behavior is discussed.Theorem 3 we got is stronger than the previous instability theorem and includes much more information.Theorems 1 and 2 given by the author and others with no proofs describe the asymptotic behaviors of the motion of this gyroscope starting from arbitrary initial condition.The both theorems 1 and 2 are proved skillfully. |
| Keywords: | Zero gravity Symmetric Liquid filled gyroscope Instability Asymptotic behavior |
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