Transient Temperatures in Brake Drums and Linings

Abstract

A solution is given to the problem of heat conduction in an infinite slab when one face is subjected to a thermal flux which decreases linearly with time, while at the other face there is no flow of heat. This solution can be used to determine the transient temperatures reached during braking with uniform deceleration. Typical curves showing the agreement between temperatures determined theoretically and experimentally at varying depths inside a brake lining during single brake applications are given.

The problem of repetitive braking at regular intervals is also discussed and a comparison of theoretical and experimental temperature measurements is made. The effect of a nonuniform pressure distributed circumferentially along the lining is also considered in an appendix.

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References

Odier

Leutard

1957 C.R. Acad. Sci., Paris, No. 244, p. 1141, ‘Etude de la température en milieu thermique limité dans les problèmes de frottement appliqués au freinage’.

Odier

Leutard

1957 C.R. Acad. Sci., Paris, No. 244, p. 1321 ‘Etude dans le cas le plus general de la température de surface dans les problèmes de frottement appliqués au freinage’.

Bannister

F. K.

1957 Engineering, Lond., vol. 183, No. 4748, p. 304, ‘Transient Temperatures in Racing-car Brake Drums’.

Newcomb

T. P.

1958 Brit. J. appl. Phys., vol. 9, p. 370, ‘The Flow of Heat in a Parallel-faced Infinite Solid’.

Carslaw

H. S.

Jaeger

J. C.

1947 ‘Conduction of Heat in Solids’, first edition, Appendix V (Clarendon Press, Oxford).

Hartree

D. R.

1935 Mem. and Proc. Manchr Lit. and Phil. Soc., No. 80, p. 85, ‘Some Properties and Applications of the Repeated Error Function’.

Parker

R. C.

1949 Engineering, Lond., vol. 167, No. 4336, p. 193, No. 4337, p. 217, ‘Frictional Behaviour of Engineering Materials’.

Fazekas

G. A. G.

1953 Trans. Soc. Automot. Engrs, N.Y., vol. 61, p. 279, ‘Temperature Gradients and Heat Stresses in Brake Drums’.

Merritt

H. E.

1931 Auto. Engr, vol. 21, No. 280, p. 183, ‘Brake Shoe Design’.

10.

Acheroy

Private communication.