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Dynamics of the rolling and sliding of an elongated cylinder

机译:细长圆柱体的滚动和滑动动力学

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A snap of a finger on an elongated cylinder produces on it a surprising fast spinning motion during which its mass center rises with very large oscillations. After that, the mass center goes to a long quasi stationary oscillations state and eventually goes down very slowly. To explain this behavior we present a theoretical and numerical analysis of the dynamics of a spinning elongated cylinder moving with a single point of contact on a horizontal plane under the action of gravity. The study has been made taking into account the rolling and sliding dissipation as well as the Kutta-Joukowski airflow effect. The results of the simulations are in agreement qualitatively with the observed real motion. (C) 2016 Elsevier Ltd. All rights reserved.
机译:手指在细长圆柱体上的弹响会产生令人惊讶的快速旋转运动,在此期间,其质心会随着非常大的振动而上升。此后,质心进入长时间的准稳态振荡状态,并最终非常缓慢地下降。为了解释这种行为,我们对旋转的细长圆柱体在重力作用下在水平面上单点接触运动的动力学进行了理论和数值分析。进行这项研究时考虑了滚动和滑动耗散以及Kutta-Joukowski气流效应。模拟的结果在质量上与观察到的真实运动一致。 (C)2016 Elsevier Ltd.保留所有权利。

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