Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga, Fukuoka 816-8580, Japan.
Sci Rep. 2017 Jan 5;7:40102. doi: 10.1038/srep40102.
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.
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。