几乎滚动运动：滚轧槽筒的研究
Almost rolling motion: An investigation of rolling grooved cylinders
摘要：
我们研究了圆柱体的动力学，这些圆柱体被开槽以形成N个齿，用于沿斜面滚动运动。实验发现，开槽圆柱体达到终极速度。这一结果可以解释为包含了非弹性过程，每当牙齿撞击表面时，都会发生这种过程。在非弹性碰撞过程中，角速度损失的分数被唯象地发现与（2*sin^2*pi/N）-（alpha*sin^3*pi/N）成比例，并且使用最小二乘法来找到常数alpha=0.98。调整后的轧制时间和终极速度的理论计算结果与实验结果符合得很好。
英文摘要：
We examine the dynamics of cylinders that are grooved to form N teeth for rolling motion down an inclined plane. The grooved cylinders are experimentally found to reach a terminal velocity. This result can be explained by the inclusion of inelastic processes which occur whenever a tooth hits the surface. The fraction of the angular velocity that is lost during an inelastic collision is phenomenologically found to be proportional to (2*sin^2*pi/N)-(alpha*sin^3*pi/N), and the method of least squares is used to find the constant alpha=0.98. The adjusted theoretical results for the time of rolling as well as for terminal velocity are found to be in good agreement with the experimental results.
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