Abstract

This study proposes a dynamic sliding model of hard spherical surfaces on a flat soft plane. For the sphere sliding at velocity v, the dynamic frictional force was described as Fd = λAv using a surface parameter λ and the contact area A. The compressive force was expressed as Pd = λ'A'v using a surface parameter λ' and the sectional area A'. An analytical formula for the sliding motion was derived considering Fd and the drag force Df associated with Pd. The model was validated by comparing the experimental velocities of stainless steel spherical surfaces on a flat polypropylene plate. The model showed all the dominant aspects of the measured velocities during the sliding process.

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