| 微粗糙平面上翻身陀螺的稳定性 |
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| 引用本文： | 杨海兴.微粗糙平面上翻身陀螺的稳定性[J].力学学报,1993,25(2):242-248. |
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| 作者姓名： | 杨海兴 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 本文讨论微粗糙平面上翻身陀螺绕直立的极轴永久转动的稳定性。应用关于部分变量的稳定性定理,导出在粘性和库仑两种摩擦条件下的解析形式稳定性判据。该判据用永久转动角速度的大小而不是进动角速度的大小作为判别准则,较为合理。
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| 关 键 词： | 微粗糙平面 翻身陀螺 稳定性 |
THE STABILITY OF A TIPPE TOP ON A SLIGHTLY ROUGH HORIZONTAL PLANE |
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| Yang Haixing and Cheng Gong.THE STABILITY OF A TIPPE TOP ON A SLIGHTLY ROUGH HORIZONTAL PLANE[J].chinese journal of theoretical and applied mechanics,1993,25(2):242-248. |
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| Authors: | Yang Haixing and Cheng Gong |
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| Abstract: | The stability of a tippe top rotating on a slightly rough horizontal plane is considered in this paper. The stability criterion of the permanent rotation about the vertical polar axis not only with low viscous friction but also with low dry friction is derived by using Rumiantsev's theorem of partial stability. This criterion is reasonable because it is not expressed in terms of the precessional velocity, but the angular velocity of the permanent rotation. |
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| Keywords: | slightly rough horizontal plane tippe top stability partial stability |
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