Express acceleration as a function of friction
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A discontinuous friction model which consists of two exponential functions of the relative speed is presented on the basis of experimental data on stick-slip motion. This friction model was verified by using the vertical displacement of the sliding body. Development of the two exponential expressions in a Taylor series allows a correlation with other friction models to be carried out.
By using the friction model, with various treatments of the approach, the three different limiting conditions for the stability of stick-slip motion as indicated by Cockerham and Cole were defined.
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