Abstract

In most harmonic reducers, wear failure mainly occurs in the flex-spline and flexible bearing. However, in models like the LHD-I-25, the unique tooth profile shifts the primary wear issue to the flex-spline and circular spline contact. Since harmonic reducers like LHD-I-25 are crucial in robotic joints and prone to wear, understanding their wear mechanisms is essential for mitigating failure. This article takes the LHD-I-25 harmonic reducer as the research object and explores the tooth surface lubrication and wear of its flex-spline and circular spline. Considering the working environment of LHD-I-25 harmonic reducer, we derived the Reynolds equation for line contact grease and established the equation for oil film thickness under elastic deformation. On this basis, we derived the wear model of harmonic reducers under mixed lubrication conditions. At the same time, finite element simulation and full life cycle experiments were conducted to obtain a model applicable to the wear of LHD-I-25 harmonic reducer. This model can describe the wear of LHD-I-25 harmonic reducer over time. Through the model, we found that compared with the less sensitive effect of speed on wear, increasing the load will greatly increase the tooth surface wear, and this effect is exponential. Through experimental verification, the model's error is only 2.47%, confirming its accuracy and practicality for predicting wear and optimizing harmonic reducer durability.

References

1.
Feng
,
F.
,
Wang
,
W.
,
Tang
,
L.
,
Chen
,
F.
, and
Bai
,
Y.
,
2014
, “
Application and Development Trends of the Space Harmonic Reducer With High Precision
,”
J. Mech. Trans.
,
38
(
10
), pp.
98
107
. CNKI:SUN:JXCD.0.2014-10-024
2.
Li
,
W.
, and
Chen
,
L.
,
2022
, “
Study on Modeling and Degradation Law of Transmission Efficiency for Harmonic Reducer
,”
J. Fail. Anal. Prevent.
,
22
(
5
), pp.
1943
1953
.
3.
Tong
,
Q. B.
,
Jiao
,
C. Q.
,
Ning
,
T.
, and
Zhang
,
X. D.
,
2013
, “
Harmonic Gear Reducer Transmission Error Analysis and Detection
,”
Adv. Mater. Res.
,
711
, pp.
375
380
.
4.
Wang
,
G.
,
Liang
,
X.
, and
Jiang
,
J.
,
2004
, “
The Present State and Developing Tendency of Robot Joint
,”
J. Mech. Trans.
,
28
(
4
), pp.
1
5
.
5.
Ting
,
S. Y. Y. H.-c. L. J.-y. T.
,
2022
, “
Modeling and Parameter Identification of Friction Characteristics of Harmonic Reducer
,”
J. Northeastern Univ.
,
43
(
1
), pp.
89
97
.
6.
Li
,
Y.
,
Tong
,
B.-A.
,
Chen
,
W.-B.
,
Li
,
X.-Y.
,
Zhang
,
J.-B.
,
Wang
,
G.-X.
, and
Zeng
,
T.
,
2020
, “
Performance Margin Modeling and Reliability Analysis for Harmonic Reducer Considering Multi-Source Uncertainties and Wear
,”
IEEE Access
,
8
, pp.
171021
171033
.
7.
Li
,
F.
,
Li
,
X.
,
Guo
,
Y.
, and
Shang
,
D.
,
2021
, “
Analysis of Contact Mechanical Characteristics of Flexible Parts in Harmonic Gear Reducer
,”
Shock Vib.
,
2021
(
1
), p.
5521320
.
8.
Hu
,
G.
,
Ge
,
Y.
,
Wu
,
T.
,
Mu
,
X.
,
Ren
,
F.
,
Shao
,
Z.
, and
Zhang
,
C.
,
2023
, “
Influence of Materials on Dry Friction and Wear Performance of Harmonic Reducer Circular Spline
,”
Metals
,
13
(
2
), p.
378
.
9.
Li
,
J.
,
Wang
,
J.
,
Zhou
,
G.
,
Zheng
,
J.
, and
Hao
,
H.
,
2013
, “
Failure Mechanism of Harmonic Drivers for Space
,”
Tribology
,
33
(
1
), pp.
44
48
.
10.
Cao
,
Q.
,
Li
,
M.
, and
Xu
,
P.
,
2017
, “
Research on High-Precision & Long-Life Harmonic Drive Applied in Spacecraft
,”
Spacecraft Recov. Remote Sens.
,
38
(
3
), pp.
78
85
.
11.
Pan
,
B.
,
Fang
,
K.
,
Wen
,
J.
,
Xiang
,
Y.
, and
Weng
,
W.
,
2022
, “
Accuracy Reliability Analysis and Optimization Design of Harmonic Gear Considering Wear and Deformation
,”
Comput. Integr. Manuf. Syst.
,
28
(
2
), pp.
355
367
.
12.
Yang
,
H.
,
Li
,
X.
,
Xu
,
J.
,
Guo
,
Y.
, and
Li
,
B.
,
2022
, “
Modeling and Fatigue Characteristic Analysis of the Gear Flexspline of a Harmonic Reducer
,”
Mathematics
,
10
(
6
), p.
868
.
13.
Zhang
,
X.
,
Zhang
,
C.
,
Wang
,
P.
,
Yang
,
F.
, and
Peng
,
C.
,
2024
, “
Stiffness Reliability Analysis of Harmonic Drive Considering Contact Pairs Wear
,”
Eng. Comput.
,
41
(
5
), pp.
1327
1352
.
14.
Sathwik Chatra
,
K. R.
,
Osara
,
J. A.
, and
Lugt
,
P. M.
,
2023
, “
Thermo-Mechanical Aging During Churning in Grease Lubricated Bearings and Its Impact on Grease Life
,”
Tribol. Int.
,
181
, p.
108248
.
15.
Han
,
Y.
,
Wang
,
J.
,
Li
,
W.
,
Li
,
H.
, and
Pu
,
J.
,
2023
, “
Evolution of Grease Lubrication Regimes and Surface Damage During Reciprocation-Oscillation Transformation
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
237
(
2
), pp.
248
267
.
16.
Xie
,
X.
,
Peng
,
C.
, and
Chen
,
S.
,
2012
, “
Numerical Analysis of Influence of Solid Particles on Elastohydrodynamic Line Contacts Under Grease Lubrication
,”
J. South China Univ. Technol.
,
40
(
7
), pp.
51
56
.
17.
Xie
,
X.
,
Peng
,
C.
, and
Chen
,
S.
,
1989
, “
Rheological Properties of Grease and Grease Lubricated EHD Theory
,”
J. East China Univ. Sci. Technol.
,
15
(
6
), pp.
821
821
.
18.
Peiran
,
Y.
, and
Shizhu
,
W.
,
1990
, “
A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication
,”
ASME J. Tribol.
,
112
(
4
), pp.
631
636
.
19.
Kumar
,
P.
, and
Kalita
,
T. J.
,
2015
, “
Transient Elastohydrodynamic Lubrication Film Thickness During Normal Approach Considering Shear-Thinning and Linear Piezoviscous Oils
,”
ASME J. Tribol.
,
137
(
2
), p.
021504
.
20.
Hu
,
Y.-Z.
, and
Zhu
,
D.
,
1999
, “
A Full Numerical Solution to the Mixed Lubrication in Point Contacts
,”
ASME J. Tribol.
,
122
(
1
), pp.
1
9
.
21.
Hu
,
Y.-Z.
, and
Zhu
,
D.
,
2017
,
Principles of Tribology
, pp.
1
21
.
22.
Roelands
,
C. J. A.
,
Winer
,
W. O.
, and
Wright
,
W. A.
,
1971
, “
Correlational Aspects of the Viscosity-Temperature-Pressure Relationship of Lubricating Oils (Dr in Dissertation at Technical University of Delft, 1966)
,”
ASME J. Lubr. Tech.
,
93
(
1
), pp.
209
210
.
23.
Johnson
,
K. L.
,
Greenwood
,
J. A.
, and
Poon
,
S. Y.
,
1972
, “
A Simple Theory of Asperity Contact in Elastohydro-Dynamic Lubrication
,”
Wear
,
19
(
1
), pp.
91
108
.
24.
Li
,
J.-Y.
,
Wang
,
J.-X.
,
Guangwu
,
Z.
,
Pu
,
W.
, and
Wang
,
Z.-H.
,
2015
, “
Accelerated Life Testing of Harmonic Driver in Space Lubrication
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
229
(
12
), pp.
1491
1502
.
25.
Leader Harmonious Drive Systems Co., Ltd.
,
2022
, “Leaderdrive”, https://www.leaderdrive.com/
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