Analytical Determination of the Brake Temperature Mode during Repetitive Short-Term Braking

Abstract

An algorithm to determine the maximum temperature of brake systems during repetitive short-term (RST) braking mode has been proposed. For this purpose, the intermittent mode of braking was given in the form of a few cyclic stages consisting of subsequent braking and acceleration processes. Based on the Chichinadze’s hypothesis of temperature summation, the evolutions of the maximum temperature during each cycle were calculated as the sum of the mean temperature on the nominal contact surface of the friction pair elements and temperature attained on the real contact areas (flash temperature). In order to find the first component, the analytical solution to the one-dimensional thermal problem of friction for two semi-spaces taking into account frictional heat generation was adapted. To find the flash temperature, the solution to the problem for the semi-infinite rod sliding with variable velocity against a smooth surface was used. In both solutions, the temperature-dependent coefficient of friction and thermal sensitivity of materials were taken into account. Numerical calculations were carried out for disc and drum brake systems. The obtained temporal variations of sliding velocity, friction power and temperature were investigated on each stage of braking. It was found that the obtained results agree well with the corresponding data established by finite element and finite-difference methods.

Temperature in the Friction Couple Consisting of Functionally Graded and Homogeneous Materials

“…In the case of homogeneous materials, such data can be found in the article in ref. [ 13 ]. However, we have not found such data for the considered friction pair.…”

The Effect of Functionally Graded Materials on Temperature during Frictional Heating at Single Braking

“…With such a temperature, the necessary problem is to develop a model that takes into account the thermal sensitivity of the materials. Some steps toward implementing the exact solutions of linear problems for homogeneous materials to take into account their thermal sensitivity have already been made for a single [ 27 ] and a repetitive short-term [ 28 ] braking modes. On the basis of this methodology, the development of appropriate models for FGM has begun.…”

Influence of Thermal Sensitivity of Functionally Graded Materials on Temperature during Braking

“…In order to solve the above-formulated nonlinear problem, we will use the idea of adapting an appropriate solution of the linear problem of thermal friction. This approach in the case of homogeneous materials was used in the studies [ 9 , 21 ].…”