The models of normal and tangential oil film damping are established by modeling the viscous-elastic fluid as massless damping elements. The central pressure and film thickness distributions, friction coefficient, and maximum temperature rise with or without considering thermal effect indicate the proposed damping models and the solutions to the damping are valid. Thereafter, the thermal effect on oil film damping is discussed and the effects of contact force, rotation speed, and tooth number of spur gears in line contact non-Newtonian transient thermal elastohydrodynamic lubrication (EHL) on the oil film damping are investigated. The results imply that the larger damping in the normal direction is beneficial to meshing impact resistance and vibration reduction, whereas the smaller damping in the tangential direction is very helpful for fluidity enhancement and friction heat inhibition.

References

References
1.
Chen
,
S.
,
Tang
,
J.
, and
Wu
,
L.
,
2014
, “
Dynamics Analysis of a Crowned Gear Transmission System With Impact Damping: Based on Experimental Transmission Error
,”
Mech. Mach. Theory
,
74
(
6
), pp.
354
369
.
2.
Liu
,
F. H.
,
Theodossiades
,
S.
,
Bergman
,
L. A.
,
Vakakisd
,
A. F.
, and
McFarland
,
D. M.
,
2015
, “
Analytical Characterization of Damping in Gear Teeth Dynamics Under Hydrodynamic Conditions
,”
Mech. Mach. Theory
,
94
, pp.
141
147
.
3.
Gill-Jeong
,
C.
,
2009
, “
Analysis of the Nonlinear Behavior of Gear Pairs Considering Hydrodynamic Lubrication and Sliding Friction
,”
J. Mech. Sci. Technol.
,
23
(
8
), pp.
2125
2137
.
4.
Barbieri
,
M.
,
Lubrecht
,
A. A.
, and
Pellicano
,
F.
,
2013
, “
Behavior of Lubricant Fluid Film in Gears Under Dynamic Conditions
,”
Tribol. Int.
,
62
, pp.
37
48
.
5.
Dowson
,
D.
, and
Higginson
,
G. R.
,
1959
, “
A Numerical Solution to the Elasto-Hydrodynamic Problem
,”
Proc. Inst. Mech. Eng., Part C
,
1
(
1
), pp.
6
15
.
6.
Hua
,
D. Y.
, and
Khonsari
,
M. M.
,
1995
, “
Application of Transient Elastohydrodynamic Lubrication Analysis for Gear Transmissions
,”
Tribol. Trans.
,
38
(
4
), pp.
905
913
.
7.
Larsson
,
R.
,
1997
, “
Transient Non-Newtonian Elastohydrodynamic Lubrication Analysis of an Involute Spur Gear
,”
Wear
,
207
(
1
), pp.
67
73
.
8.
Wang
,
Y.
,
Li
,
H.
,
Tong
,
J.
, and
Yang
,
P.
,
2004
, “
Transient Thermoelastohydrodynamic Lubrication Analysis of an Involute Spur Gear
,”
Tribol. Int.
,
37
(
10
), pp.
773
782
.
9.
Khonsari
,
M. M.
, and
Hua
,
D. Y.
,
1994
, “
Thermal Elastohydrodynamic Analysis Using a Generalized Non-Newtonian Formulation With Application to Bair-Winer Constitutive Equation
,”
ASME J. Tribol.
,
116
(
1
), pp.
37
46
.
10.
Kumar
,
P.
, and
Khonsari
,
M. M.
,
2009
, “
On the Role of Lubricant Rheology and Piezo-Viscous Properties in Line and Point Contact EHL
,”
Tribol. Int.
,
42
(
11–12
), pp.
1522
1530
.
11.
Zhang
,
X.
,
Kanapathipillai
,
S.
,
Wu
,
T.
, and
Yang
,
P.
,
2017
, “
Frictional Behaviour and Friction Mechanisms of Rolling-Sliding Contact in Mixed EHL
,”
Tribol. Int.
,
114
, pp.
201
207
.
12.
Krupka
,
I.
,
Sperka
,
P.
, and
Hartl
,
M.
,
2016
, “
Effect of Surface Roughness on Lubricant Film Breakdown and Transition From EHL to Mixed Lubrication
,”
Tribol. Int.
,
100
, pp.
116
125
.
13.
Liu
,
H.
,
Zhu
,
C.
,
Zhang
,
Y.
,
Wang
,
Z.
, and
Song
,
C.
,
2016
, “
Tribological Evaluation of a Coated Spur Gear Pair
,”
Tribol. Int.
,
99
, pp.
117
126
.
14.
Venner
,
C. H.
,
Wang
,
J.
, and
Lubrecht
,
A. A.
,
2016
, “
Central Film Thickness in EHL Point Contacts Under Pure Impact Revisited
,”
Tribol. Int.
,
100
, pp.
1
6
.
15.
Li
,
S.
, and
Kahraman
,
A.
,
2010
, “
A Transient Mixed Elastohydrodynamic Lubrication Model for Spur Gear Pairs
,”
ASME J. Tribol.
,
132
(
1
), p.
011501
.
16.
Li
,
S.
, and
Kahraman
,
A. A.
,
2011
, “
Spur Gear Mesh Interface Damping Model Based on Elastohydrodynamic Contact Behavior
,”
Int. J. Power
,
1
(
1
), pp.
4
21
.
17.
Li
,
S.
, and
Kahraman
,
A.
,
2013
, “
A Tribo-Dynamic Model of a Spur Gear Pair
,”
J. Sound Vib.
,
332
(
20
), pp.
4963
4978
.
18.
Guilbault
,
R.
,
Lalonde
,
S.
, and
Thomas
,
M.
,
2012
, “
Nonlinear Damping Calculation in Cylindrical Gear Dynamic Modeling
,”
J. Sound Vib.
,
331
(
9
), pp.
2110
2128
.
19.
Ankouni
,
M.
,
Lubrecht
,
A. A.
, and
Velex
,
P.
,
2014
, “
Numerical Simulation of Damping in EHL Line Contacts
,”
International Gear Conference
, Lyon, France, Aug. 26–28, pp.
1020
1028
.
20.
Ankouni
,
M.
,
Lubrecht
,
A. A.
, and
Velex
,
P.
,
2016
, “
Modelling of Damping in Lubricated Line Contacts—Applications to Spur Gear Dynamic Simulations
,”
Proc. Inst. Mech. Eng., Part C
,
230
(
7–8
), pp.
1222
1232
.
21.
Zhang
,
Y.
,
Liu
,
H.
,
Zhu
,
C.
,
Liu
,
M.
, and
Song
,
C.
,
2016
, “
Oil Film Stiffness and Damping in an Elastohydrodynamic Lubrication Line Contact-Vibration
,”
J. Mech. Sci. Technol.
,
30
(
7
), pp.
3031
3039
.
22.
Arreaza
,
C.
,
Behdinan
,
K.
, and
Zu
,
J. W.
,
2016
, “
Linear Stability Analysis and Dynamic Response of Shimmy Dampers for Main Landing Gears
,”
ASME J. Appl. Mech.
,
83
(
8
), p.
081002
.
23.
Yang
,
P.
, and
Wen
,
S.
,
1990
, “
A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication
,”
ASME J. Tribol.
,
112
(
4
), pp.
631
636
.
24.
Roelands
,
C. J. A.
,
Vlugter
,
J. C.
, and
Waterman
,
H. I.
,
1963
, “
The Viscosity-Temperature-Pressure Relationship of Lubricating Oils and Its Correlation With Chemical Constitution
,”
ASME J. Basic Eng.
,
85
(
4
), pp.
601
607
.
25.
Dowson
,
D.
, and
Higginson
,
G. R.
,
1966
,
Elastohydrodynamic Lubrication: The Fundamentals of Roller and Gear Lubrication
,
Pergamon Press
, Oxford, UK.
26.
Venner
,
C. H.
,
ten Napel
,
W. E.
, and
Bosma
,
R.
,
1990
, “
Advanced Multilevel Solution of the EHL Line Contact Problem
,”
ASME J. Tribol.
,
112
(
3
), pp.
426
431
.
27.
Yang
,
P.
, and
Rodkiewicz
,
C. M.
,
1997
, “
On the Numerical Analysis to the Thermoelastohydrodynamic Lubrication of a Tilting Pad Inclusive of Side Leakage
,”
Tribol. Trans.
,
40
(
2
), pp.
259
266
.
28.
Liu
,
H.
,
Zhu
,
C.
,
Sun
,
Z.
, and
Song
,
C.
,
2016
, “
Starved Lubrication of a Spur Gear Pair
,”
Tribol. Int.
,
94
, pp.
52
60
.
You do not currently have access to this content.