THEORETICAL NONLINEAR MODEL OF FRICTIONAL HEAT GENERATION IN BRAKING

A mathematical model to investigate the temperature field and thermal stresses in an essentially nonlinear pad–disk brake system has been proposed. For this purpose, a one-dimensional boundary-value heat conduction problem with friction heat generation for the strip–semispace system has been formulated. It has been assumed, that thermal contact of friction between these elements is perfect, and the thermal and mechanical properties of their materials depend on the temperature. A numerical solution to the problem by means of the method of lines with integral interpolation over the spatial variable has been obtained. Knowing the distribution of the transient temperature field, the corresponding thermal stresses were found, too. Calculations for a gray iron disk and titanium alloy pad were executed.