...
首页> 外文期刊>Open Journal of Applied Sciences >A Dynamical Model to Analyze the Influence of Sliding Friction on Motion on a Curve—An Analytical Method
【24h】

A Dynamical Model to Analyze the Influence of Sliding Friction on Motion on a Curve—An Analytical Method

机译:分析滑动摩擦对曲线上运动的影响的动力学模型—一种分析方法

获取原文
           

摘要

To demonstrate the influence of sliding friction of motion on a curve, a circular path is considered for simplicity on which a person slides from the highest point to the lowest point. A slide which represents a quadrant of radius 5 m and a person of mass 60 kg are considered for comparison in this paper. A Differential equation for motion considering the fact that the normal force depends both on the sin component of weight and also on the tangential velocity, is established and is solved using integrating factor method, and the motion is analysed for different surface roughness of the slide and is compared using superimposed graphs, also the limiting value of friction coefficient at which the person just exits the slide is determined. The correction factor for exit velocity with friction as compared with the exit velocity for zero friction is determined. The fraction of energy lost to friction at the exit is evaluated. The Variation of normal force with the position of the person on the slide is plotted for different surface roughness of the slide, and the position on the slide where the normal force or the force experienced by the person is maximum, is determined and hence its maximum value is evaluated for different surface roughness. For simplicity, a point contact between the body and the slide is considered.
机译:为了演示运动的滑动摩擦对曲线的影响,为简单起见,考虑了一条圆形路径,在该圆形路径上,人从最高点滑动到最低点。为了比较,考虑了一个代表半径为5 m的象限的幻灯片和一个体重为60 kg的人的幻灯片。考虑到法向力既取决于重量的正弦分量又取决于切线速度的事实,建立了一个运动微分方程,并使用积分因子法对其进行了求解,并针对滑动件的不同表面粗糙度分析了运动。使用叠加图进行比较,还可以确定人刚离开滑轨时的摩擦系数极限值。确定与零摩擦的出口速度相比的带摩擦的出口速度的校正因子。评估在出口处因摩擦而损失的能量比例。对于不同的滑动件表面粗糙度,绘制了法向力随人在滑动件上的位置的变化,并确定了法向力或人受到的力最大时在滑动件上的位置,从而确定了其最大值。针对不同的表面粗糙度评估该值。为简单起见,考虑了主体与滑块之间的点接触。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号