| 在微粗糙平面上滚动的Chaplygin球的稳定性 |
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| 引用本文： | 杨海兴.在微粗糙平面上滚动的Chaplygin球的稳定性[J].力学学报,1991,23(3):355-360. |
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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： | 本文利用文献1]的结果,继续讨论 Chaplygin 球在微粗糙平面上滚动的稳定性。严格证明了在粘性和库仓两种磨擦条件下球绕最大惯量主轴滚动的一致稳定性,和在粘性摩擦条件及球的最大与中间主惯量矩十分接近的前提下球绕最小惯量主轴滚动的不稳定性。
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| 关 键 词： | 微粗糙平面 Chaplygin球 稳定性 |
THE STABILITY OF A CHAPLYGIN'S SPHERE ROLLING ON A SLIGHTLY ROUGH HORIZONTAL PLANE |
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| Yang Haixing.THE STABILITY OF A CHAPLYGIN''''S SPHERE ROLLING ON A SLIGHTLY ROUGH HORIZONTAL PLANE[J].chinese journal of theoretical and applied mechanics,1991,23(3):355-360. |
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| Authors: | Yang Haixing |
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| Institution: | Shanghai Jiao Tong University |
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| Abstract: | The stability of a Chaplygin's sphere rolling on a slightly rough horizontal plane is discussed. It is shown that the rolling of the sphere is uniformly stable about the axis of the biggest principal central moment of inertia not only with low viscous, but also with low dry friction, and unstable about the axis of the smallest one only with low viscous friction.The stability of a Chaplygin's sphere rolling on a slightly rough horizontal plane is discussed. It is shown that the rolling of the sphere is uniformly stable about the axis of the biggest principal central moment of inertia not only with low viscous, but also with low dry friction, and unstable about the axis of the smallest one only with low viscous friction. |
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| Keywords: | rough horizontal plane Chaplygin's sphere stability partial stability limited amplitude |
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