| 液体不完全起旋时充液陀螺稳定性研究 |
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| 引用本文： | 王士敏,李磊.液体不完全起旋时充液陀螺稳定性研究[J].北京航空航天大学学报,2001,27(2):233-236. |
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| 作者姓名： | 王士敏 李磊 |
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| 作者单位： | 1.北京航空航天大学 理学院 |
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| 基金项目： | 国家自然科学基金;19702022; |
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| 摘 要： | 一些旋转充液系统,尽管理论上满足固化液体系统的陀螺稳定性条件,并且也不在章动与液体惯性波的共振区域内,但是在实验时系统却出现运动不稳定.这一现象无法由SWM(Stewartson-Wedemeyer-Murphy)线性理论解释,致使在工程设计中很难避开不稳定的参数区域.本文采用数值方法分析了液体未完全起旋对高速旋转充液陀螺稳定性的影响,并应用Lyapunov-Rumjantsev 部分变量稳定性理论,得出了液体不完全起旋时,充液陀螺稳定性条件.
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| 关 键 词： | 充液陀螺稳定性 李雅普诺夫稳定性 李雅普诺夫方法 部分变量稳定性 |
| 文章编号： | 1001-5965(2001)02-0233-04 |
| 收稿时间： | 1999-12-07 |
| 修稿时间： | 1999年12月7日 |
Stability of Spinning Top Filled with Non-fully Rotating Liquid |
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| WANG Shi-min,LI Lei.Stability of Spinning Top Filled with Non-fully Rotating Liquid[J].Journal of Beijing University of Aeronautics and Astronautics,2001,27(2):233-236. |
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| Authors: | WANG Shi-min LI Lei |
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| Institution: | 1.Beijing University of Aeronautics and Astronautics, School of Science2. Tsinghua University, Dept. of Engineering Mechanics |
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| Abstract: | In some liquid filled spinning systems, although top stability conditions of frozen liquid are satisfied theoretically, and the top nutation is not of resonant instability due to liquid inertia wave, angular motion of the rotating liquid filled system is not stable in experiments. This phenomena can not explified by resonant instability theory of the SWM(Stewartson Wedemeyer Murphy). Therefore, it is very difficult to avoid the instability parameters in practice design. The influence of non fully rotating liquid on the stability of spinning liquid filled top is numerically analyzed, and the non linear stability of spinning liquid filled top is investigated using the partial stability theory of Liapunov Rumjantsev. The stability condition of spinning liquid filled top with non fully rotating liquid is concluded. |
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| Keywords: | gyroscopic stability Lyapunov stability Lyapunov's method partial variable stability |
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