Frictional Heating with Time-Dependent Specific Power of Friction

Author:

Topczewska Katarzyna1

Affiliation:

1. Faculty of Mechanical Engineering, Department of Mechanics and Applied Computer Science , Bialystok University of Technology , ul. Wiejska 45C, Bialystok 15–351 , Poland

Abstract

Abstract In this paper analytical solutions of the thermal problems of friction were received. The appropriate boundary-value problems of heat conduction were formulated and solved for a homogeneous semi–space (a brake disc) heated on its free surface by frictional heat fluxes with different and time-dependent intensities. Solutions were obtained in dimensionless form using Duhamel's theorem. Based on received solutions, evolution and spatial distribution of the dimensionless temperature were analyzed using numerical methods. The numerical results allowed to determine influence of the time distribution of friction power on the spatio-temporal temperature distribution in brake disc.

Publisher

Walter de Gruyter GmbH

Subject

Mechanical Engineering,Control and Systems Engineering

Reference22 articles.

1. 1. Abramowitz M., Stegun I.A. (1972), Handbook of Mathematical Functions with Formulas, Graphs, and Tables, National Bureau of Standards, Washington.

2. 2. Carlslaw H.S., Jaeger J. C. (1959), Conduction of Heat in Solids, 2nd ed. Clarendon Press, Oxford.

3. 3. Chichinadze A.V. (1967), Estimation and investigation of external friction during braking, Nauka, Moscow. – 231 p. (in Russian).

4. 4. Chichinadze A.V., Braun E.D., Ginsburg A.G., Ignat’eva Z.V. (1979), Calculation, Test and Selection of Frictional Couples, Nauka, Moscow (in Russian).

5. 5. Evtushenko A., Kutsei, M. (2007), Non-stationary frictional heat problem for plane-parallel layer—half-space system, Journal of Friction and Wear, 28(3), 246-259.

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