Based on Kirchhoff’s plate theory a model is developed to estimate the onset of thermoelastic instabilities (TEI) in axisymmetric sliding systems consisting of plate components such as automotive disk breaks or clutches. The thermoelastic feedback due to a symmetric, two-sided frictional contact is formulated in terms of a thermal curvature proportional to the lateral deflection. The model of the thermoelastic feedback is tested with the help of an analytical solution of the two-dimensional layer model of Lee and Barber. For axisymmetrically annular disks under frictionally excited TEI, pre-stressed in-plane the solution of the resulting eigenvalue problem is obtained numerically. Some results are discussed and compared to the literature.

1.
Audebert
,
N.
,
Barber
,
J. R.
, and
Zagrodzki
,
P.
, 1998, “
Buckling of Automatic Transmission Clutch Plates due to Thermoelastic/Plastic Residual Stresses
,”
J. Polym. Sci., Part A-2
0098-1273,
21
, pp.
309
326
.
2.
Zagrodzki
,
P.
, 1990, “
Analysis of Thermomechanical Phenomena in Multidisc Clutches and Brakes
,”
Wear
0043-1648,
140
, pp.
291
308
.
3.
Anderson
,
A. E.
, and
Knapp
,
R. A.
, 1990, “
Hot Spotting in Automotive Friction Systems
,”
Wear
0043-1648,
135
, pp.
319
337
.
4.
Kreitlow
,
W.
,
Schrödter
,
F.
, and
Matthäi
,
F.
, 1986, “
Vibration and Hum of Disc Brakes Under Load
,” SAE 850079.
5.
Lee
,
K.
, and
Dinwiddie
,
R. B.
, 1998, “
Conditions of Frictional Contact in Disc Brakes and Their Effects on Brake Judder
,” SAE 980598.
6.
Barber
,
J. R.
, 1969, “
Thermoelastic Instabilities in the Sliding of Conforming Solids
,”
Proc. R. Soc. London, Ser. A
1364-5021,
312
, pp.
381
394
.
7.
Dow
,
Th. A.
, and
Burton
,
R. A.
, 1972, “
Thermoelastic Instability of Sliding Contact in the Absence of Wear
,”
Wear
0043-1648,
19
, pp.
315
328
.
8.
Burton
,
R. A.
,
Nerlikar
,
V.
, and
Kilaparti
,
S. R.
, 1973, “
Thermoelastic Instability in a Seal-Like Configuration
,”
Wear
0043-1648,
24
, pp.
177
188
.
9.
Lee
,
K.
, and
Barber
,
J. R.
, 1993, “
Frictionally Exited Thermoelastic Instability in Automotive Disk Brakes
,”
ASME J. Tribol.
0742-4787,
115
, pp.
607
614
.
10.
Decuzzi
,
P.
, and
Demelio
,
G.
, 2002, “
The Effect of Material Properties on the Thermoelastic Stability of Sliding Systems
,”
Wear
0043-1648,
252
, pp.
311
321
.
11.
Decuzzi
,
P.
,
Ciaverella
,
M.
, and
Monno
,
G.
, 2001, “
Frictionally Excited Thermoelastic Instability in Multi-Disk Clutches and Brakes
,”
ASME J. Tribol.
0742-4787,
123
, pp.
865
871
.
12.
Du
,
S.
,
Zagrodzki
,
P.
,
Barber
,
J. R.
, and
Hulbert
,
G. M.
, 1997, “
Finite Element Analysis of Frictionally Excited Thermoelastic Instability
,”
J. Polym. Sci., Part A-2
0098-1273,
20
, pp.
185
201
.
13.
Yi
,
Y.-B.
,
Du
,
S.
,
Barber
,
J. R.
, and
Fash
,
J. W.
, 1999, “
Effect of Geometry on Thermoelastic Instability in Disk Brakes and Clutches
,”
ASME J. Tribol.
0742-4787,
121
, pp.
661
666
.
14.
Davis
,
C. L.
,
Krousgrill
,
C. M.
, and
Sadeghi
,
F.
, 2002, “
Effect of Temperature on Thermoelastic Instability in Thin Disks
,”
ASME J. Tribol.
0742-4787,
124
, pp.
429
437
.
15.
Krempaszky
,
C.
, and
Lippmann
,
H.
, 2003, “
Frictionally Excited Thermoelastic Instabilities of Plates under Thermal Pre-Stress
,” in
Proceedings of the 5th International Congress on Thermal Stresses and Related Topics, Blacksburg, VA, June. 8–11, 2003
,
L.
Librescu
, and
P.
Marzocca
, eds., Virginia Polytechnic Institute and State University, Blacksburg, pp.
MM
-1-2-1-
4
.
16.
Krempaszky
,
C.
, 2002, Plattenbeulen unter thermisch induzierten Eigenspannungen, PhD thesis, Technische Universität München.
17.
Ziegler
,
H.
, 1956, “
On the Concept of Elastic Stability
,”
Adv. Appl. Mech.
0065-2156,
4
, pp.
351
403
.
18.
Timoshenko
,
S. P.
, and
Goodier
,
J. N.
, 1970,
Theory of Elasticity
,
McGraw-Hill
, New York.
19.
Eschenauer
,
H.
, and
Schnell
,
W.
, 1986,
Elastizitätstheorie I
,
Bibliographisches Institut
, Mannheim, Wien, Zürich.
20.
Yi
,
Y.-B.
,
Barber
,
J. R.
, and
Zagrodzki
,
P.
, 2000, “
Eigenvalue Solution of Thermoelastic Instability Problems Using Fourier Reduction
,”
Proc. R. Soc. London, Ser. A
1364-5021,
456
, pp.
2799
2821
.
21.
Hahn
,
H. G.
, 1985,
Elastizitätstheorie
,
Teubner
, Stuttgart.
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