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Abstract

In ball bearings without a cage, adjacent balls exhibit a zero-entrainment velocity (ZEV) contact condition, which is worse than typical pure rolling or rolling–sliding contact, and the contact between adjacent balls under periodic loading is notably more complicated. In this work, thermal elastohydrodynamic lubrication (EHL) numerical calculation is carried out under the condition of periodic impact and opposite sliding line contact over a wide range of surface speeds. The pressure is solved by a multigrid method, the elastic deformation is evaluated using a multigrid integration method, and the temperature field is calculated by a column-by-column scanning technique. The results show that the loading–unloading process exerts significant influence on the variation of the centralized dimple, pressure, and temperature rises as well as the oil characteristics. With the increase of surface speed, the effect of load fluctuations diminishes, and the central dimple exhibits the following evolutionary trend under ZEV conditions: no dimple at very low velocity—small central dimple—large typical dimple—no dimple at high velocity. The result indicates that under the ZEV condition of EHL stage, elevated velocities decrease the coefficient of friction and augment the film thickness.

References

1.
Guo
,
F.
,
Yang
,
P.
, and
Wong
,
P. L.
,
2001
, “
On the Thermal Elastohydrodynamic Lubrication in Opposite Sliding Circular Contacts
,”
Tribol. Int.
,
34
(
7
), pp.
443
452
.
2.
Guo
,
F.
,
Wong
,
P. L.
,
Yang
,
P.
, and
Yagi
,
K.
,
2002
, “
Film Formation in EHL Point Contacts Under Zero Entraining Velocity Conditions
,”
Tribol. Trans.
,
45
(
4
), pp.
521
530
.
3.
Guo
,
F.
,
Yang
,
P.
, and
Qu
,
S.
,
2001
, “
On the Theory of Thermal Elastohydrodynamic Lubrication at High Slide-Roll Ratios—Circular Glass-Steel Contact Solution at Opposite Sliding
,”
ASME J. Tribol.
,
123
(
4
), pp.
816
821
.
4.
Bruyere
,
V.
,
Fillot
,
N.
,
Morales-Espejel
,
G. E.
, and
Vergne
,
P.
,
2012
, “
Computational Fluid Dynamics and Full Elasticity Model for Sliding Line Thermal Elastohydrodynamic Contacts
,”
Tribol. Int.
,
46
(
1
), pp.
3
13
.
5.
Zhang
,
B.
,
Wang
,
J.
,
Omasta
,
M.
, and
Kaneta
,
M.
,
2015
, “
Effect of Fluid Rheology on the Thermal EHL Under ZEV in Line Contact
,”
Tribol. Int.
,
87
, pp.
40
49
.
6.
Zhang
,
B.
,
Wang
,
J.
,
Omasta
,
M.
, and
Kaneta
,
M.
,
2016
, “
Variation of Surface Dimple in Point Contact Thermal EHL Under ZEV Condition
,”
Tribol. Int.
,
94
, pp.
383
394
.
7.
Meziane
,
B.
,
Vergne
,
P.
,
Devaux
,
N.
,
Lafarge
,
L.
,
Morales-Espejel
,
G. E.
, and
Fillot
,
N.
,
2020
, “
Film Thickness Build-Up in Zero Entrainment Velocity Wide Point Contacts
,”
Tribol. Int.
,
141
, p.
105897
.
8.
Yang
,
P.
,
Qu
,
S.
,
Chang
,
Q.
, and
Guo
,
F.
,
2001
, “
On the Theory of Thermal Elastohydrodynamic Lubrication at High Slide-Roll Ratios—Line Contact Solution
,”
ASME J. Tribol.
,
123
(
1
), pp.
36
41
.
9.
Hultqvist
,
T.
,
Vrcek
,
A.
,
Marklund
,
P.
,
Prakash
,
B.
, and
Larsson
,
R.
,
2020
, “
Transient Analysis of Surface Roughness Features in Thermal Elastohydrodynamic Contacts
,”
Tribol. Int.
,
141
, p.
105915
.
10.
Omasta
,
M.
,
Adam
,
J.
,
Sperka
,
P.
,
Krupka
,
I.
, and
Hartl
,
M.
,
2018
, “
On the Temperature and Lubricant Film Thickness Distribution in EHL Contacts With Arbitrary Entrainment
,”
Lubricants
,
6
(
4
), p.
101
.
11.
Yagi
,
K.
,
Kyogoku
,
K.
, and
Nakahara
,
T.
,
2004
, “
Relationship Between Temperature Distribution in EHL Film and Dimple Formation
,”
ASME J. Tribol.
,
127
(
3
), pp.
658
665
.
12.
Wang
,
S.
,
Wang
,
J.
,
Han
,
Y.
, and
Li
,
W.
,
2019
, “
Variation of Zero Entraining Velocity Dimple in Grease-Lubricated Reciprocating Motion
,”
Proc. Inst. Mech. Eng. Part J J. Eng. Tribol.
,
233
(
11
), pp.
1661
1687
.
13.
Jin
,
X.
,
Wang
,
J.
,
Han
,
Y.
,
Sun
,
N.
, and
Zhu
,
J.
,
2021
, “
Discrepancy in Oil Film Distribution Observed in ZEV Reciprocating Motion
,”
Ind. Lubr. Tribol.
,
73
(
1
), pp.
177
189
.
14.
Raisin
,
J.
,
Fillot
,
N.
,
Vergne
,
P.
, and
Dureisseix
,
D.
,
2019
, “
Numerical Simulation of Lubricated DLC-Coated Point Contacts Under Infinite Sliding Conditions
,”
Tribol. Int.
,
133
, pp.
136
151
.
15.
Wong
,
P. L.
,
Zhao
,
Y.
, and
Mao
,
J.
,
2018
, “
Facilitating Effective Hydrodynamic Lubrication for Zero-Entrainment-Velocity Contacts Based on Boundary Slip Mechanism
,”
Tribol. Int.
,
128
, pp.
89
95
.
16.
Zhao
,
Y.
,
Wong
,
P. L.
, and
Mao
,
J. H.
,
2018
, “
EHL Film Formation Under Zero Entrainment Velocity Condition
,”
Tribol. Int.
,
124
, pp.
1
9
.
17.
Zhao
,
Y.
, and
Wong
,
P. L.
,
2021
, “
Thermal-EHL Analysis of Slip/No-Slip Contact at High Slide-to-Roll Ratio
,”
Tribol. Int.
,
153
, p.
106617
.
18.
Meng
,
X.
,
Wang
,
J.
,
Nishikawa
,
H.
, and
Nagayama
,
G.
,
2021
, “
Effects of Boundary Slips on Thermal Elastohydrodynamic Lubrication Under Pure Rolling and Opposite Sliding Contacts
,”
Tribol. Int.
,
155
, p.
106801
.
19.
Meng
,
X.
,
Zhang
,
B.
,
Wang
,
J.
, and
Zou
,
Q.
,
2017
, “
Experimental Observation on the Surface Dimple Variations in Starved EHL of Sliding Steel-Glass Point Contacts
,”
Tribol. Int.
,
105
, pp.
166
174
.
20.
Sun
,
J.
,
Bai
,
L.
,
Guo
,
F.
, and
Khan
,
Z. A.
,
2022
, “
Experimental Study on the Effect of Micro-texture on EHL Point-Contact Film Thickness Subject to Sliding Conditions
,”
Materials
,
15
(
22
), p.
7926
.
21.
Wang
,
J.
,
Venner
,
C. H.
, and
Lubrecht
,
A. A.
,
2013
, “
Central Film Thickness Prediction for Line Contacts Under Pure Impact
,”
Tribol. Int.
,
66
, pp.
203
207
.
22.
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
.
23.
Hooke
,
C. J.
, and
Morales-Espejel
,
G. E.
,
2016
, “
The Effects of Small Sinusoidal Load Variations in Elastohydrodynamic Line Contacts
,”
ASME J. Tribol.
,
138
(
3
), p.
031501
.
24.
Glovnea
,
R.
, and
Zhang
,
X.
,
2018
, “
Elastohydrodynamic Films Under Periodic Load Variation: An Experimental and Theoretical Approach
,”
Tribol. Lett.
,
66
(
3
), p.
116
.
25.
Zhang
,
X.
,
Glovnea
,
R.
,
Morales-Espejel
,
G. E.
, and
Félix-Quiñonez
,
A.
,
2020
, “
The Effect of Working Parameters Upon Elastohydrodynamic Film Thickness Under Periodic Load Variation
,”
Tribol. Lett.
,
68
(
2
), p.
62
.
26.
Meziane
,
B.
,
Fillot
,
N.
, and
Morales-Espejel
,
G. E.
,
2020
, “
Synergy of Viscosity Wedge and Squeeze Under Zero Entrainment Velocity in EHL Contacts
,”
Tribol. Lett.
,
68
(
3
), p.
74
.
27.
Venner
,
C. H.
, and
Lubrecht
,
A. A.
,
2000
,
Multilevel Methods in Lubrication
,
Elsevier
,
New York
.
28.
Brandt
,
A.
, and
Lubrecht
,
A. A.
,
1990
, “
Multilevel Matrix Multiplication and Fast Solution of Integral Equations
,”
J. Comput. Phys.
,
90
(
2
), pp.
348
370
.
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