| 在具有粘性摩擦平面上又滚又滑的Chaplygin球的稳定性 |
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| 引用本文： | 董志明,杨海兴.在具有粘性摩擦平面上又滚又滑的Chaplygin球的稳定性[J].上海交通大学学报,1992(1). |
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| 作者姓名： | 董志明 杨海兴 |
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| 作者单位： | 上海交通大学工程力学系，上海交通大学工程力学系 |
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| 摘 要： | 本文讨论 Chaplygin 球在具有粘性摩擦平面上作滚动角速度模值衰减的又滚又滑运动,严格证明了在球的最小主惯量矩不小于最大主惯量矩1/4的条件下,球绕最大惯量主轴又滚又滑的一致稳定性.
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| 关 键 词： | Chaplygin球 稳定性 部分稳定性 粘性摩擦 又滚又滑 |
The Stability of a Chaplygin's Sphere Rolling with Sliding on a Slightly Viscous-Friction Horizontal Plane |
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| Dong Zhiming Yang Haixing.The Stability of a Chaplygin''''s Sphere Rolling with Sliding on a Slightly Viscous-Friction Horizontal Plane[J].Journal of Shanghai Jiaotong University,1992(1). |
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| Authors: | Dong Zhiming Yang Haixing |
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| Institution: | Dong Zhiming Yang Haixing |
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| Abstract: | The stability of a Chaplygin's sphere rolling with sliding on a slig-htly viscous friction horizontal plane is discussed.It is shown that the rolling with sliding of the sphere is uniformly stable about the axis of the biggest
principal central moment of inertia with the smallest principal central moment being not less than a quarter of the biggest one. |
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| Keywords: | Chaplygin's sphere stability partial stability viscous friction rolling with sliding |
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