The equations that describe the development of corrugations on block braked wheel treads caused by thermoelastic instability are discretized using the finite element method. The perturbations of temperatures and distortions are described by an amplitude function, which is spatially fixed multiplied by a sinusoidal running wave term of fixed wavelength. The governing equations are such that the wave term cancels out. Only the amplitude functions are discretized in the finite element model. The intermittent nature of the contact is directly specified through the boundary conditions. Results are obtained for a simplified two-dimensional model of a train wheel. These results agree with analytical results. [S0742-4787(00)00701-3]

1.
Hiensch, E., 1998 “Lasergecladde Wielen, Thermische Data Remproeven,” Technical Report NSTO/98/9620329/012, NS Technisch Onderzoek.
2.
Dittrich
,
M.
,
Biegstraten
,
F.
,
Dings
,
P.
, and
Thompson
,
D.
,
1994
, “
Wheel Roughness and Railway Noise
,”
Rail Eng. Int.
,
3
, pp.
17
20
.
3.
Burton
,
R.
,
Nerlikar
,
V.
, and
Kilaparti
,
S.
,
1973
, “
Thermoelastic Instability in a Seal-like Configuration
,”
Wear
,
24
, pp.
177
188
.
4.
Kennedy
,
F.
,
1980
, “
Thermo-Mechanical Phenomena in High Speed Rubbing
,”
Wear
,
59
, No.
2
, pp.
149
163
.
5.
Anderson
,
A.
, and
Knapp
,
R.
,
1990
, “
Hotspotting in Automotive Friction Systems
,”
Wear
,
135
, pp.
319
337
.
6.
Barber
,
J.
,
Beamond
,
T.
,
Waring
,
J.
, and
Prichard
,
C.
,
1985
, “
Implications of Thermoelastic Instability for the Design of Brakes
,”
ASME J. Tribol.
,
107
, pp.
206
210
.
7.
Ruiz-Ayala
,
J.
,
Lee
,
K.
,
Rahman
,
M.
, and
Barber
,
J.
,
1996
, “
Effect of Intermittent Contact on the Stability of Thermoelastic Sliding Contact
,”
ASME J. Tribol.
,
118
, pp.
102
108
.
8.
Du
,
S.
,
Zagrodzki
,
P.
,
Barber
,
J.
, and
Hulbert
,
G.
,
1997
, “
Finite Element Analysis of Frictionally Excited Thermoelastic Instability
,”
J. Therm. Stresses
,
20
, pp.
185
201
.
9.
Koning, A., and Geijselaers, H. J. M., 1999, “Corrugations on the Block Braked Wheel Treads of Freight Trains,” Technical Report WB.99/TMK-3589, Univ of Twente, The Netherlands.
10.
Lee
,
K.
, and
Barber
,
J.
,
1993
, “
The Effect of Shear Tractions on Frictionally Excited Thermoelastic Instability
,”
Wear
,
160
, pp.
237
242
.
11.
Brooks
,
A.
, and
Hughes
,
T.
,
1982
, “
Streamline Upwind Petrov Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equation
,”
Comput. Methods Appl. Mech. Eng.
,
32
, pp.
199
259
.
You do not currently have access to this content.