Aleksander Yevtushenko

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

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.

Analytical model for investigation of the effect of friction power on temperature in the disk brake

In this article, the effect of different time profiles of friction power on a temperature distribution in friction element of a brake has been analyzed. For this purpose, a one-dimensional heat problem of friction during braking for 10 temporal profiles of the specific power of friction has been formulated and solved exactly. Based on the analytical solutions, numerical calculations of the temperature distributions have been carried out. A comparative analysis of the obtained results with corresponding data, that were found using an approximate solution from the Chichinadze’s monograph titled Calculation and study of external friction during braking, has also been performed. Conducted numerical analysis has allowed us to establish the applicability limits of this approximate solution. We also determined that the temporal profile of friction power has a significant influence on the evolution of the surface temperature, and on temperature field inside a disk brake.