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The running-in is usually regarded as a process that is continually modifying properties of the two contact surfaces during the initial phase of machine parts operation. This study is focused to analyse the dynamic behaviour of tribological wear system, based on equations system. The wear dependence, wear rate and roughness were chosen based on mathematical considerations. However, coefficients and exponents were introduced to close the model curves of wear encountered in real cases. Two state equations of the system were set: one is the wear equation on the effect of roughness on the wear rate; the other is changing the equation of mean square deviation  that occurs during the wear process. A study of the influence of the optimal roughness and stable roughness on running-in was made.

CONTRIBUTIONS CONCERNING THE INFLUENCE OF THE RUNNING-IN ON THE ROUGHNESS OF THE SURFACES WITH PLANE CONTACT OF THE FRICTION COUPLE