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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. DOI: 10.6052/0459-1879-1991-3-1995-848
Citation: 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. DOI: 10.6052/0459-1879-1991-3-1995-848
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THE STABILITY OF A CHAPLYGIN'S SPHERE ROLLING ON A SLIGHTLY ROUGH HORIZONTAL PLANE

  • 上海交通大学

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  • 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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