Abstract
A new set of expressions for the rollingfriction of a viscoelastic sphere rolling on a hard planeis derived. The new expressions take into considerationthe speed of rotation, the material relaxation time andother material characteristics. It is found that when therelaxation effect is not negligible, the relationshipbetween rolling friction and rolling speed is non-linear.The derivation of this model is based on the energy-equivalence method that gives a more comprehensiveconsideration of dominant parameters in the calculation.
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Yung, K.L., Xu, Y. Non-Linear Expressions for Rolling Friction of a Soft Ball on a Hard Plane. Nonlinear Dynamics 33, 33–41 (2003). https://doi.org/10.1023/A:1025582521870
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DOI: https://doi.org/10.1023/A:1025582521870