THREE-DIMENSIONAL IMPACT OF A RIGID ELLIPSOID ON FIXED SURFACE WITH FRICTION
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摘要: 讨论刚性椭球对固定面的三维摩擦碰撞．以法向冲量为自变量，建立碰撞过程中接触点切向速度的微分方程．利用相平面的奇点理论对碰撞过程中切向滑动的全局性态作定性分析，并导出切向滑动的解析积分．Abstract: The three dimensional impact of a rigid ellipsoid on a fixed surface with friction is discussed in this paper. The differential equations of tangential velocity of contact point in the duration of impact are formulated with the normal impulse as argument. A qualitative analysis on the global behavior of tangential sliding motion is given by use of the singularity theory of phase plane. The analytical solution determining the sliding motion is also obtained.
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Key words:
- impact /
- dynamics of rigid body /
- qualitative analysis
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