ARTICLE
Effect of the temporal profile of the friction power on temperature of a pad-disc brake system
 
More details
Hide details
1
Bialystok University of Technology, Faculty of Mechanical Engineering, Bialystok, Poland
 
 
Submission date: 2018-09-25
 
 
Acceptance date: 2019-01-25
 
 
Publication date: 2019-04-15
 
 
Journal of Theoretical and Applied Mechanics 2019;57(2):461-473
 
KEYWORDS
ABSTRACT
A mathematical model to analyse the influence of change of the friction power over time on temperature of a pad-disc tribosystem has been proposed. For this purpose, a boundary- -value problem of heat conduction for two semi-infinite bodies with taking into account heat generation due to friction on the contact surface has been formulated. Exact solutions of this problem were obtained for seven temporal profiles of the specific heat generation power, which were established experimentally. For selected friction materials, numerical analysis of the spatiotemporal temperature distributions and heat fluxes intensities were executed. The obtained results were compared with a corresponding data which were found by means of the known approximate solution.
 
REFERENCES (27)
1.
Abramowitz M., Stegun I.A., 1964, Handbook of mathematical functions with formulas, graphs and mathematical tables. National Bureau of Standards, Applied Mathematics, Series 55.
 
2.
Barber J.R., Comninou M., 1989, Thermoelastic contact problems, [In:] Thermal Stresses III, R. Hetnarski (Edit.), North Holland, Amsterdam, 1-106.
 
3.
Blok H., 1955, The dissipation of friction heat, Applied Scientific Research, A, 2-3, 151-181.
 
4.
Carslaw H.S., Jaeger J.C., 1959, Conduction of Heat in Solids, 2nd ed., Clarendon Press, Oxford.
 
5.
Charron F., 1943, Partage de la chaleur entre deux corps frottants, Publications Scientifiques et Techniques du Ministere de L’air, article 182.
 
6.
Chichinadze A.V., 1967, Calculation and Study of External Friction During Braking (in Russian), Nauka, Moscow.
 
7.
Chichinadze A.V., 2009, Theoretical and practical problems of thermal dynamics and simulation of the friction and wear of tribocouples, Journal of Friction and Wear, 3, 275-295.
 
8.
Chichinadze A.V., Braun E.D., Ginzburg A.G., Ignateva E.V., 1979, Calculation, Testing, and Selection of Frictional Pairs (in Russian), Nauka, Moscow.
 
9.
Chichinadze A.V., Matveevski R.M., Braun E.P., 1986, Materials in Tribotechnics Non-Stationary Processes (in Russian), Nauka, Moscow.
 
10.
Fazekas G.A.G., 1953, Temperature gradients and heat stresses in brake drums, SAE Transactions , 61, 279-284.
 
11.
Ling F.F., 1959, A quasi-iterative method for computing interface temperature distributions, Zeitschrift für angewandte Mathematik und Physik ZAMP, 10, 461-474.
 
12.
Luikov A.V., 1968, Analytical Heat Diffusion Theory, Academic Press, New York.
 
13.
Matysiak S.J., Yevtushenko A.A., Ivanyk E.G., 2002, Contact temperature and wear of composite friction elements during braking, International Journal of Heat and Mass Transfer, 45, 193-199.
 
14.
Newcomb T.P., Spurr R.T., 1967, Braking of Road Vehicles, Chapman and Hall, London.
 
15.
Nosko A.L., Nosko A.P., 2006, Solution of contact heating problem with account for heat transfer between the friction members, Journal of Friction and Wear, 30, 615-625.
 
16.
Prudnikov A.P., Brychkov Yu.A., Marichev O.I., 1986, Integrals and series. Elementary functions, Gordon and Breach, New York.
 
17.
Sazonov V.S., 2006, Exact solution of the problem of nonstationary heat conduction for two semi-spaces in nonideal contact, Journal of Engineering Physics and Thermophysics, 79, 928-930.
 
18.
Sazonov V.S., 2008, Nonideal contact problem of nonstationary heat conduction for two half-spaces, Journal of Engineering Physics and Thermophysics, 81, 397-408.
 
19.
Topczewska K., 2017, Influence of friction power on temperature in the process of braking, Materials Science, 53, 2, 235-242.
 
20.
Yevtushenko A.A., Ivanyk E.G., Yevtushenko O.O., 1999, Exact formulae for determination of the mean temperature and wear during braking, Heat and Mass Transfer, 35, 163-169.
 
21.
Yevtushenko A.A., Kuciej M., 2012, One-dimensional thermal problem of friction during bra-king: the history of development and actual state, International Journal of Heat and Mass Transfer, 55, 4118-4153.
 
22.
Yevtushenko A.A., Kuciej M., Yevtushenko O., 2013, The boundary conditions on the sliding surface in one-dimensional transient heat problem of friction, International Journal of Heat and Mass Transfer, 59, 1-8.
 
23.
Yevtushenko A., Kuciej M., Och E., 2014a, Influence of thermal sensitivity of the pad and disk materials on the temperature during braking, International Communications in Heat and Mass Transfer, 55, 84-92.
 
24.
Yevtushenko A., Kuciej M., Och E., 2014b, Temperature in thermally nonlinear pad-disk brake system, International Communications in Heat and Mass Transfer, 57, 274-281.
 
25.
Yevtushenko A., Kuciej M., Och E., 2015, Some methods for calculating temperature during the friction of thermosensitive materials, Numerical Heat Transfer. Part A, 67, 696-718.
 
26.
Yevtushenko A., Kuciej M., Och E., 2016, Effect of the thermal sensitivity in modeling of the frictional heating during braking, Advances in Mechanical Engineering, 8, 12, 1-10.
 
27.
Yevtushenko A., Kuciej M., Topczewska K., 2017, Analytical model for investigation of the effect of friction power on temperature in the disk brake, Advances in Mechanical Engineering, 9, 12, 1-12.
 
eISSN:2543-6309
ISSN:1429-2955
Journals System - logo
Scroll to top