Abstract

To quantify the relationship between the total frictional heat and the absorbed heat by the oil film in the herringbone gear transmission, this article investigates the lubrication status and thermal characteristics of the tooth meshing point under the fuel injection condition. First, the contact analysis of the herringbone gears is carried out—studying the variation pattern of the maximum pressure, highest temperature rise, and minimum film thickness of different oil films at various mesh points along the meshing line. Second, the friction coefficient and frictional power for the meshing points on the tooth surface are calculated to determine the ratio of oil film pressure to total pressure distribution. This completes the allocation of frictional power for the meshing points of the driving and driven gears. Finally, by comparing the total heat generated by frictional shear with the heat absorbed by the oil film, the numerical relationship between the two can be quantified.

References

1.
Wang
,
Y.
,
Yang
,
K.
,
Qi
,
R.
, and
Tang
,
W.
,
2019
, “
Similarity Model for Lubrication Experiment of Spiral Bevel Gear and Influencing Parameters
,”
J. South China Univ. Technol. Nat. Sci. Ed.
,
48
(
25
), pp.
25
31
.
2.
Liu
,
H.
,
Zhang
,
B.
,
Bader
,
N.
,
Guo
,
F.
,
Poll
,
G.
, and
Yang
,
P.
,
2018
, “
Crucial Role of Solid Body Temperature on Elastohydrodynamic Film Thickness and Traction
,”
Tribol. Int.
,
131
(
386
), pp.
386
397
.
3.
Mo
,
S.
,
Ma
,
S.
,
Jin
,
G.
,
Gong
,
J.
,
Zhang
,
T.
, and
Zhu
,
S.
,
2019
, “
Design Principle and Modeling Method of Asymmetric Involute Internal Helical Gears
,”
Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci.
,
233
(
244
), pp.
244
255
.
4.
Hu
,
X.
,
Chen
,
J.
,
Wu
,
M.
, and
Wang
,
J.
,
2021
, “
Thermal Analysis of Herringbone Gears Based on Thermal Elastohydrodynamic Lubrication Considering Surface Roughness
,”
Energies
,
14
(
24
), pp.
8564
8564
.
5.
Liu
,
X.
,
Long
,
T.
,
Li
,
X.
, and
Guo
,
F.
,
2023
, “
Thermal EHL Analysis of the Inner Ring rib and Roller End in Tapered Roller Bearings With the Carreau Model
,”
Front. Manuf. Technol.
,
2
, p.
1029860
.
6.
Zhou
,
C.
,
Hu
,
B.
,
Qian
,
X.
, and
Xu
,
H.
,
2018
, “
A Novel Prediction Method for Gear Friction Coefficients Based on a Computational Inverse Technique
,”
Tribol. Int.
,
127
(
200
), pp.
200
208
.
7.
Huang
,
D.
,
Zhao
,
Y.
,
Ye
,
K.
,
Wu
,
F.
,
Zhang
,
H.
, and
Zhong
,
W.
,
2023
, “
The Efficient Calculation Methods for Stochastic Nonlinear Transient Heat Conduction Problems
,”
J. Comput. Sci.
,
67
, p.
101939
.
8.
Zhao
,
B.
,
2022
, “
Integrity of Newton’s Cooling Law Based on Thermal Convection Theory of Heat Transfer and Entropy Transfer
,”
Sci. Rep.
,
12
(
1
), pp.
16292
16292
.
9.
Cazan
,
S.
,
Bhaumik
,
S.
,
Paleu
,
V.
, and
Crețu
,
S.
,
2023
, “
Developing a Fast-Processing Novel Algorithm for Contact Analysis of Standard Spur Gears
,”
Symmetry
,
15
(
2
), pp.
554
554
.
10.
Cazan
,
S.
, and
Creţu
,
S.
,
2018
, “
Tooth Contact Analysis of Spur and Helical Gears With End Relief Profiles
,”
IOP Conf. Ser.: Mater. Sci. Eng.
,
444
(
2
), p.
022004
.
11.
Mounayer
,
J.
, and
Habchi
,
W.
,
2023
, “
Exact Model Order Reduction for the Full-System Finite Element Solution of Thermal Elastohydrodynamic Lubrication Problems
,”
Lubricants
,
11
(
61
), pp.
61
61
.
12.
Liu
,
C.
,
Guo
,
F.
,
Li
,
X.
,
Li
,
S.
,
Han
,
S.
, and
Wan
,
Y.
,
2018
, “
Experimental Study of Elastohydrodynamic Lubrication Behaviour Under Single Oil Droplet Supply
,”
Tribol. Int.
,
118
(
432
), pp.
432
440
.
13.
Li
,
W.
,
Lu
,
L.
, and
Zeng
,
D.
,
2020
, “
The Contribution of Topography Formed by Fine Particle Peening Process in Reducing Friction Coefficient of Gear Steel
,”
Tribol. Trans.
,
63
(
9
), pp.
9
19
.
14.
Liu
,
M.
,
Zhang
,
J.
,
Xu
,
P.
,
Cai
,
H.
,
Ku
,
H.
, and
Wu
,
C.
,
2019
, “
Thermal Elastohydrodynamic Lubrication Analysis of Helical Gear Pair Under Starved Lubrication Condition
,”
Lubr. Sci.
,
31
(
321
), pp.
321
334
.
15.
Liu
,
M.
,
Deng
,
E.
,
Zhou
,
H.
,
Qi
,
D.
, and
Qu
,
Y.
,
2022
, “
Tribological Properties of a Helical Gear Pair Considering Interfacial Slip Between Lubricant and Tooth Surface
,”
Lubr. Sci.
,
34
(
313
), pp.
313
330
.
16.
Gan
,
L.
,
Xiao
,
K.
,
Wang
,
J.
,
Wei
,
P.
, and
Wei
,
C.
,
2019
, “
A Numerical Method to Investigate the Temperature Behavior of Spiral Bevel Gears Under Mixed Lubrication Condition
,”
Appl. Therm. Eng.
,
147
(
866
), pp.
866
875
.
17.
Xiao
,
Z.
, and
Shi
,
X.
,
2019
, “
Investigation on Stiffness and Damping of Transient Non-Newtonian Thermal Elastohydrodynamic Point Contact for Crowned her9.04.041.Ringbone Gears
,”
Tribol. Int.
,
137
(
102
), pp.
102
112
.
18.
Peng
,
Y.
,
Zhao
,
N.
,
Zhang
,
M.
,
Wang
,
L.
, and
Ruchuan
,
Z.
,
2018
, “
Non-Newtonian Thermal Elastohydrodynamic Simulation of Helical Gears Considering Modification and Misalignment
,”
Tribol. Int.
,
124
(
46
), pp.
46
60
.
19.
Arana
,
A.
,
Larrañaga
,
J.
, and
Ulacia
,
I.
,
2019
, “
Partial EHL Friction Coefficient Model to Predict Power Losses in Cylindrical Gears
,”
Proc. Inst. Mech. Eng. Part J J. Eng. Tribol.
,
233
(
303
), pp.
303
316
.
20.
Chen
,
Z.
,
Jiang
,
Y.
,
Li
,
S.
,
Tong
,
Z.
,
Tong
,
S.
, and
Tang
,
N.
,
2023
, “
Uncertainty Propagation of Correlated Lubricant Properties in Gear Tribodynamic System
,”
Tribol. Int.
,
179
, p.
107812
.
21.
Junichi
,
H.
,
Ryohei
,
H.
, and
Takao
,
K.
,
2022
, “
Estimation of Gear Friction Coefficient Using Directional Parameter of Tooth Surface
,”
ASME J. Tribol.
,
144
(
1
), p.
011603
.
22.
Zhang
,
J.
,
Liu
,
S.
, and
Fang
,
T.
,
2017
, “
On the Prediction of Friction Coefficient and Wear in Spiral Bevel Gears With Mixed TEHL
,”
Tribol. Int.
,
115
, pp.
535
545
.
23.
Othmane
,
B.
, and
Hicham
,
B.
,
2022
, “
Finite Element Approximation and Numerical Analysis of Thermoelectroelastic Frictional Contact Problem With Frictional Heating
,”
Compul. Appl. Math.
,
41
(
4
), p.
145
.
24.
Li
,
D.
,
Liu
,
Y.
,
Gong
,
J.
,
Wei
,
Y.
, and
Zhao
,
G.
,
2022
, “
A Novel Method for Longitudinal Modification and Tooth Contact Analysis of Non-Circular Cylindrical Gears
,”
J. Mech. Sci. Technol.
,
36
(
12
), pp.
6157
6170
.
25.
Mathur
,
T.
,
Smith
,
E.
, and
Bill
,
R.
,
2021
, “
A Novel Loaded Tooth Contact Analysis Procedure With Application to Internal–External Straight Bevel Gear Mesh in a Pericyclic Drive
,”
ASME J. Tribol.
,
143
(
10
), p.
101201
.
26.
Xu
,
H.
,
2005
, “
Development of a Generalized Mechanical Efficiency Prediction Methodology for Gear Pairs
,”
Master's thesis
,
The Ohio State University
,
Columbus, OH
.
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