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冲击过程中动态滑动摩擦的分析模型。

An analytical model of dynamic sliding friction during impact.

机构信息

Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga, Fukuoka 816-8580, Japan.

出版信息

Sci Rep. 2017 Jan 5;7:40102. doi: 10.1038/srep40102.

DOI:10.1038/srep40102
PMID:28054668
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5213996/
Abstract

Dynamic sliding friction was studied based on the angular velocity of a golf ball during an oblique impact. This study used the analytical model proposed for the dynamic sliding friction on lubricated and non-lubricated inclines. The contact area A and sliding velocity u of the ball during impact were used to describe the dynamic friction force F = λAu, where λ is a parameter related to the wear of the contact area. A comparison with experimental results revealed that the model agreed well with the observed changes in the angular velocity during impact, and λAu is qualitatively equivalent to the empirical relationship, μN + μη'dA/dt, given by the product between the frictional coefficient μ and the contact force N, and the additional term related to factor η' for the surface condition and the time derivative of A.

摘要

基于高尔夫球在斜碰撞过程中的角速度,研究了动态滑动摩擦。本研究使用了针对润滑和非润滑斜面的动态滑动摩擦提出的分析模型。球在碰撞过程中的接触面积 A 和滑动速度 u 用于描述动态摩擦力 F=λAu,其中 λ 是与接触面积磨损相关的参数。与实验结果的比较表明,该模型与碰撞过程中角速度的观测变化吻合较好,并且 λAu 在定性上等同于经验关系 μN+μη'dA/dt,其中 μ 是摩擦系数,N 是接触力,η'是与表面状况和 A 的时间导数有关的附加项。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/f92eda8d11f8/srep40102-f3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/01a0d0d7954e/srep40102-f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/13fb164fc681/srep40102-f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/f92eda8d11f8/srep40102-f3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/01a0d0d7954e/srep40102-f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/13fb164fc681/srep40102-f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c029/5213996/f92eda8d11f8/srep40102-f3.jpg

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本文引用的文献

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Impact of an elastic sphere with an elastic half space revisited: numerical analysis based on the method of dimensionality reduction.弹性球体与弹性半空间碰撞的再探讨:基于降维方法的数值分析
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Flash heating leads to low frictional strength of crustal rocks at earthquake slip rates.
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