再谈摆动单杠问题
Oscillating horizontal bar problem revisited
摘要：
一个简单的力学教科书问题\cite{klep}，描述了一个放置在两个相对旋转的辊子上的巨大水平杆，保持固定的中心距。在两个辊\cite{demo}的接触点处存在动摩擦的情况下，将发现随后的运动。通过对接触面的分析，引入体积滚动摩擦效应，并考虑粘弹性滚子，我们发现杆件振动频率平方的倒数与中心距成线性关系。该线性关系的斜率和截距以及对棒料连续两个位置的观测，充分确定了两个辊系粘弹性材料的滚动摩擦系数。
英文摘要：
A simple text book problem in mechanics\cite{klep}, describes a massive horizontal bar placed on two oppositely rotating rollers, kept at a fixed center to center distance. Subsequent motion is to be found out in presence of kinetic frictions at the point of contacts of the two rollers\cite{demo}. Introducing bulk rolling friction effects, through the contact planes and considering viscoelastic rollers, we find that the inverse of the square of the oscillation frequency of the bar has a linear relationship with the center to center distance. The gradient and intercept of the linear relation together with observations about two consecutive positions of the bar, determine the rolling friction coefficient of the viscoelastic materials of the two rollers fully.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
