The paper concerns research of application of smooth functions in the approximation of friction force discontinuity in the static friction models. The following smooth functions are considerec: trigonometric functions and B-spline curve of third order. The aim of research is to determine the influence of smooth functions adopted in the friction models on the convergence of numerical calculations of motion equations. The friction models of smooth course in the stick-slip friction phase can be used when solving the dynamic systems of machines (e.g., works transport devices) with the help of the method designed for continuous systems.
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