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A method for the determination of the coefficient of rolling friction using cycloidal pendulum

机译:使用环形柱状测定滚动摩擦系数的方法

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The paper presents a method for experimental finding of coefficient of rolling friction appropriate for biomedical applications based on the theory of cycloidal pendulum. When a mobile circle rolls over a fixed straight line, the points from the circle describe trajectories called normal cycloids. To materialize this model, it is sufficient that a small region from boundary surfaces of a moving rigid body is spherical. Assuming pure rolling motion, the equation of motion of the cycloidal pendulum is obtained - an ordinary nonlinear differential equation. The experimental device is composed by two interconnected balls rolling over the material to be studied. The inertial characteristics of the pendulum can be adjusted via weights placed on a rod. A laser spot oscillates together to the pendulum and provides the amplitude of oscillations. After finding the experimental parameters necessary in differential equation of motion, it can be integrated using the Runge-Kutta of fourth order method. The equation was integrated for several materials and found values of rolling friction coefficients. Two main conclusions are drawn: the coefficient of rolling friction influenced significantly the amplitude of oscillation but the effect upon the period of oscillation is practically imperceptible. A methodology is proposed for finding the rolling friction coefficient and the pure rolling condition is verified.
机译:本文介绍了一种基于系环摆的理论的适用于生物医学应用的轧制摩擦系数的实验结果的方法。当移动圆圈滚过固定的直线时,来自圆圈的点描述称为正常摆线的轨迹。为了实现该模型,移动刚体的边界表面的小区域足够是球形的。假设纯轧制运动,获得了摆线摆的运动方程 - 一种普通的非线性微分方程。实验装置由两个互连球组成,滚动在待研究的材料上。摆锤的惯性特性可以通过放置在杆上的重量调节。激光斑点振荡到摆锤并提供振幅的振幅。在找到差动运动方程所需的实验参数之后,可以使用第四订单方法的径流kutta集成。该等式被整合为几种材料,发现滚动摩擦系数的值。绘制了两个主要结论:滚动摩擦系数影响振荡幅度,但振荡时期的效果几乎是不可察觉的。提出了一种用于找到滚动摩擦系数的方法,验证纯轧制条件。

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