Abstract

To reduce the wear, an optimization method of hypoid gears with the objective of minimizing the pinion sliding ratio is proposed. First, the sliding ratio model of the hypoid gear is established on the basis of the spatial gear meshing theory. Furthermore, the influence of design parameters on the sliding ratio and the relative sliding velocity is discussed, and the analysis results show that the parameters, especially the spiral angle and the pressure angle, have the most significant influence on the sliding ratio of the pinion. Additionally, the optimization model of hypoid gears is established, and the optimization objective is to minimize the sum of the absolute sliding ratios of 34 meshing points on the pinion tooth surfaces. Through comparison before and after optimization, it is found that the maximum drops of the sliding ratios for the pinion drive and coast side are 68.6% and 29.58%, respectively. Finally, the results of the running temperature tests demonstrate that the temperature of the optimized gear pair is significantly reduced and that the proposed method is effective.

References

1.
Stadtfeld
,
H. J.
,
1993
,
Hand of Bevel and Hypoid Gears
,
The Gleason Works
,
Rochester
.
2.
Stadtfeld
,
H. J.
,
2014
,
Gleason Bevel Gear Technology
,
The Gleason Works
,
Rochester
.
3.
Stadtfeld
,
H. J.
,
2019
,
Practical Gear Engineering-Answers to Common Gear Manufacturing Questions
,
The Gleson Works
,
Rochester
.
4.
Zhou
,
C.
,
Wang
,
H.
,
Lei
,
Y.
, and
Liu
,
Z.
,
2018
, “
Calculating and Measuring Methods for Gear Wear and Its Suppression Techniques
,”
J. Beijing Univ. Technol.
,
44
(
7
), pp.
987
1000
.
5.
Huang
,
D.
,
Wang
,
Z.
, and
Kubo
,
A.
,
2020
, “
Hypoid Gear Integrated Wear Model and Experimental Verification Design and Test
,”
Int. J. Mech. Sci.
,
166
(
15
), pp.
105228
105228
.
6.
Park
,
D.
, and
Kahraman
,
A.
,
2009
, “
A Surface Wear Model for Hypoid Gear Pairs
,”
Wear
,
267
(
9–10
), pp.
1595
1604
.
7.
Park
,
D.
,
Kolivand
,
M.
, and
Kahraman
,
A.
,
2012
, “
Prediction of Surface Wear of Hypoid Gears Using a Semi-Analytical Contact Model
,”
Mech. Mach. Theory
,
52
, pp.
180
194
.
8.
Stump
,
B. C.
,
Zhou
,
Y.
,
Viola
,
M. B.
,
Xu
,
H.
,
Parten
,
R. J.
, and
Qu
,
J.
,
2018
, “
A Rolling-Sliding Bench Test for Investigating Rear Axle Lubrication
,”
Tribol. Int.
,
121
, pp.
450
459
.
9.
Roache
,
D. C.
,
Bumgardner
,
C. H.
,
Zhang
,
Y.
,
Edwards
,
D.
,
DeGonia
,
D.
,
Rock
,
B.
, and
Li
,
X.
,
2021
, “
Chemo-Mechanical Characterization of Phosphorus and Sulfur Containing Ashless Tribofilms on Hypoid Gear Teeth
,”
Tribol. Int.
,
158
, p.
106926
.
10.
Pu
,
W.
,
Wang
,
J.
, and
Zhu
,
D.
,
2016
, “
Friction and Flash Temperature Prediction of Mixed Lubrication in Elliptical Contacts With Arbitrary Velocity Vector
,”
Tribol. Int.
,
99
, pp.
38
46
.
11.
Simon
,
V. V.
,
2019
, “
Improved Mixed Elastohydrodynamic Lubrication of Hypoid Gears by the Optimization of Manufacture Parameters
,”
Wear
,
438–439
, pp.
1
9
.
12.
Hoehn
,
B. R.
,
Michaelis
,
K.
,
Mayer
,
J.
, and
Weigl
,
A.
,
2012
, “
Influence of Surface Velocity Directions on Lubricant Film Formation in EHL Point Contacts
,”
Tribol. Int.
,
47
, pp.
9
15
.
13.
Zhang
,
Y.
, and
Yan
,
H.
,
2014
, “
Study of Sliding Rate of Two Basic Curves and its Conjugate Curves
,”
J. Mach. Des.
,
31
(
2
), pp.
44
46
.
14.
Wang
,
J.
,
Luo
,
S.
, and
Wu
,
Y.
,
2010
, “
A Method for the Preliminary Geometric Design of Gear Tooth Profiles With Small Sliding Coefficients
,”
ASME J. Mech. Des.
,
132
(
5
), p.
054501
.
15.
Liu
,
L.
,
Meng
,
F.
, and
Ni
,
J.
,
2019
, “
A Novel Non-Involute Gear Designed Based on Control of Relative Curvature
,”
Mech. Mach. Theory
,
140
(
3
), pp.
144
158
.
16.
Liang
,
D.
,
Chen
,
B.
, and
Gao
,
Y.
,
2015
, “
Calculation Method of Sliding Ratios for Conjugate-Curve Gear Pair and Its Application
,”
J. Cent. South Univ.
,
22
(
3
), pp.
946
955
.
17.
Sheng
,
W.
,
Li
,
Z.
,
Zhang
,
H.
, and
Zhu
,
R.
,
2021
, “
Geometry and Design of Spur Gear Drive Associated With Low Sliding Ratio
,”
Adv. Mech. Eng.
,
13
(
4
), p.
168781402110125
.
18.
Zhao
,
J.
,
Sheng
,
W.
,
Li
,
Z.
,
Zhang
,
H.
, and
Zhu
,
R.
,
2022
, “
Study on the Lubrication Characteristics of Spur Gear Pairs With Low Sliding Ratio Under Mixed Elastohydrodynamic Lubrication
,”
ASME J. Tribol.
,
144
(
7
), p.
071604
.
19.
Xu
,
L.
,
Li
,
S.
, and
Wang
,
W.
,
2017
, “
Sliding Ratio for Novel Cycloidal Gear Drive
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
232
(
21
), pp.
3954
3963
.
20.
Peng
,
S.
,
Ma
,
Z.
,
Chen
,
B.
,
Qin
,
S.
, and
Wang
,
S.
,
2018
, “
Theoretical and Experimental Investigation on Internal Gear Pair With Small Sliding Ratio
,”
J. Cent. South Univ.
,
25
(
4
), pp.
831
842
.
21.
Sheng
,
W.
,
Zhao
,
J.
,
Li
,
Z.
,
Zhang
,
H.
, and
Zhu
,
R.
,
2022
, “
Geometric Design of a Face Gear Drive With Low Sliding Ratio
,”
Appl. Sci.
,
12
(
6
), p.
2936
.
22.
Wu
,
X.
,
2009
,
Principle of Gearing
, 2nd ed.,
Xi'an Jiaotong University Press
,
Xi'an
.
23.
Litvin
,
F. L.
, and
Fuentes
,
A.
,
2004
,
Gear Geometry and Applied Theory
, 2nd ed.,
Cambridge University Press
,
New York
.
24.
Wu
,
D. R.
,
2014
,
Differential Geometry Lecture Notes
,
Higher Education Press
,
Beijing
.
25.
Zhang
,
Y.
, and
Yang
,
H. Z.
,
2016
, “
New Methodology for Determining Basic Machine Settings of Spiral Bevel and Hypoid Gears Manufactured by Duplex Helical Method
,”
Mech. Mach. Theory
,
100
(
6
), pp.
283
295
.
26.
American Gear Manufacturers Association
,
2003
,
Design Manual for Bevel Gears
,
American Gear Manufacturers Association
,
Alexandria
.
27.
Gleason Works
,
2004
,
Applied Gear Engineering - CAGEWin Software Customer/Dealer Training Center
,
The Gleason Works
,
Rochester
.
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