Effect of the thermal sensitivity in modeling of the frictional heating during braking

Abstract

The influence of the thermal sensitivity of a coefficient of friction and thermophysical properties of the pad and disk materials on the temperature distribution during single braking has been studied. For this purpose, the corresponding one-dimensional thermal problem of friction at braking has been formulated. The solution to such nonlinear problem has been made in two stages. First, the partial linearization was carried out using Kirchhoff’s substitution, and then, the initial problem for a system of nonlinear ordinary differential equations was obtained by method of lines. Numerical solution to problem was received by Adams’ method realized in the DIFSUB package. For a friction pair, disk (steel)–pad (retinax), an analysis of the evolution of sliding speed and temperature was carried out. The results obtained within the model that took into account the mutual influence between the speed and temperature were compared with those obtained without taking into account such effects.