Abstract

The paper is concerned with frictional study of a high-speed lubricated helical gear pair. The objectives were numerical evaluations of temperature and stress fields of the gear pair and the analysis of their frictional interaction in terms of the coefficient of friction. The problem was also investigated experimentally by temperature measurements at several points of a tooth. We developed an algorithm of numerical modeling based on an iterative scheme generating a sequence of approximate solutions to the temperature and stress fields till attainment of convergence of the numerically obtained and measured temperatures. Since the coefficient of friction significantly affected the frictional heat flux and thereby the temperature fields, it was used as a calibration parameter of the numerical model. Its magnitude was updated from an initial value until the one the process reached convergence with. The outcomes of the study include the temperature and stress fields, the magnitude of the coefficient of friction, and the frictional heat flux distribution.

References

1.
Vijayakar
,
S. M.
,
2007
,
Calyx User’s Manual
,
Advanced Numerical Solutions LLC
,
Hilliard Ohio
. See also http://ansol.com
2.
Johnson
,
K. L.
,
1985
,
Contact Mechanics
,
Cambridge University Press
,
Cambridge, UK
.
3.
Laursen
,
T. A.
,
2002
,
Computational Contact and Impact Mechanics
,
Springer
,
Berlin, Germany
.
4.
Dostál
,
Z.
,
2007
,
Optimal Quadratic Programming Algorithms With Applications to Variational Inequalities
,
Springer
,
Berlin, Germany
.
5.
Pellé
,
J.
, and
Harmand
,
S.
,
2007
, “
Heat Transfer Measurements in An Opened Rotor–Stator System Air-Gap
,”
Exp. Therm. Fluid Sci.
,
31
(
3
), pp.
165
180
. 10.1016/j.expthermflusci.2006.03.018
6.
Norris
,
R. H.
,
1971
, “Some Simple Approximate Heat Transfer Correlations for Turbulent Flow in Ducts with Rough Surfaces,”
Augmentation of Convective Heat and Mass Transfer
,
L.
Ralph
,
L.
Webb
, and
A. E.
Bergles
, eds.,
ASME
,
New York
, pp.
16
26
.
7.
Anonymous
,
2010
,
VDI Heat Atlas
,
Springer
,
Berlin, Germany
.
8.
White
,
F. M.
,
2011
,
Fluid Mechanics
,
McGraw-Hill
,
New York
.
9.
Stel
,
H.
,
Franco
,
A. T.
,
Junqueira
,
S. L. M.
,
Erthal
,
R. H.
,
Mendes
,
R.
,
Gonçalves
,
M. A. L.
, and
Morales
,
R. E. M.
,
2012
, “
Turbulent Flow in D-Type Corrugated Pipes: Flow Pattern and Friction Factor
,”
ASME J. Fluids Eng.
,
134
(
12
), p.
121202
. 10.1115/1.4007899
10.
Sextro
,
W.
,
2007
,
Dynamical Contact Problems with Friction
,
Springer
,
Berlin, Germany
.
11.
Davis
,
J. R.
,
1997
,
Concise Metals Engineering Data Book
,
ASM International
,
Materials Park, Ohio
.
12.
Barber
,
J. R.
,
2018
,
Contact Mechanics
,
Springer
,
Berlin, Germany
.
13.
Popov
,
V. L.
,
2010
,
Contact Mechanics and Friction
,
Springer
,
Berlin, Germany
.
14.
Pařik
,
P.
,
2018
,
PMD Manuals
,
2018
ed.,
Institute of Thermomechanics of the Czech Academy of Sciences
,
Prague, Czech Republic
. See URL http://www.it.cas.cz/manual/pmd
15.
Ligata
,
H.
,
Kahraman
,
A.
, and
Singh
,
A.
,
2008
, “
An Experimental Study of the Influence of Manufacturing Errors on the Planetary Gear Stresses and Planet Load Sharing
,”
ASME J. Mech. Des.
,
130
(
4
), p.
041701
. 10.1115/1.2885194
16.
Matsumoto
,
S.
,
Tozaki
,
Y.
, and
Fukutomi
,
M.
,
2001
, “
Temperature Distribution in Teeth and Blanks of Ultra High-Speed Gears
,”
JSME Int. J., Ser. C
,
44
(
1
), pp.
203
209
. 10.1299/jsmec.44.203
17.
Martinaglia
,
L.
,
1973
, “
Thermal Behavior of High-Speed Gears and Tooth Corrections for Such Gears
,”
Mech. Mach. Theory
,
8
(
3
), pp.
293
303
. 10.1016/0094-114X(73)90067-0
18.
Wink
,
C. H.
, and
Mantri
,
N. S.
,
2012
,
Gear Design Optimization for Low Contact Temperature of a High-Speed, Non-Lubricated Spur Gear Pair
,
Technical Resources 12FTM16, American Gear Manufacturers Association
,
Alexandria, Virginia
.
19.
Taburdagitan
,
M.
, and
Akkok
,
M.
,
2006
, “
Determination of Surface Temperature Rise With Thermo-Elastic Analysis of Spur Gears
,”
Wear
,
261
(
5–6
), pp.
656
665
. 10.1016/j.wear.2006.01.019
You do not currently have access to this content.