Abstract

The planetary gear-bearing interference fit surface is prone to fretting slip under alternating torque, which can lead to fretting wear and fatigue failure. However, the current studies often ignore the influence of non-uniform interference on the stress and strain of the fit surface. In this paper, the force analysis of the planetary gear-bearing interference fit surface is carried out based on thick cylinders theory and planetary gear dynamics, and the fretting slip mechanism is explained in detail. Based on the assumption of plane stress, the equation for interference distribution in the circumferential direction of the fit surface is derived. On this basis, a three-dimensional fretting contact model considering non-uniform interference is established and solved by the conjugate gradient method (CGM). The results show that under the action of alternating torque, the fit surface interference is non-uniformly distributed in the circumferential direction, which shows a trend of increasing first and then decreasing. The fretting slip distance decreases first and then increases in the circumferential direction, but the fretting slip curve considering non-uniform interference shows a slip distance of nil in the range where the interference value exceeds the initial value. The model in this paper is more in line with the actual situation, and can provide more accurate theoretical calculation for the planetary gear-bearing interference fit design.

References

1.
Liu
,
J.
,
2020
, “
Research of Dynamic Stress on Assembly Process of Interference fit Between Axle and Hole of Planetary Gear
,”
Advances in Computer Science for Engineering and Education III
,
Kyiv, Ukraine
,
Jan. 21–22
, Vol. 1247, pp.
210
219
.
2.
Dai
,
H.
,
Chen
,
F.
,
Xun
,
C.
, and
Long
,
X.
,
2022
, “
Numerical Calculation and Experimental Measurement for Gear Mesh Force of Planetary Gear Transmissions
,”
Mech. Syst. Signal Process
,
162
, p.
108085
.
3.
Teng
,
X.
,
Luo
,
Z.
,
Yu
,
X.
,
Chang
,
J.
,
Zhao
,
J.
, and
Xu
,
C.
,
2024
, “
A Wear Simulation Approach Based on the Energy Consumption Model and its Application to the VSV Bushing Wear Analysis
,”
Tribol. Int.
,
195
, p.
109609
.
4.
Shu
,
Y.
,
Yang
,
G.
, and
Liu
,
Z.
,
2022
, “
Experimental Study on Fretting Damage in the Interference fit Area of High-Speed Train Wheels and Axles Based on Specimen
,”
Eng. Fail. Anal.
,
141
, p.
106619
.
5.
Xue
,
X.
,
Li
,
Y.
,
Sui
,
L.
,
Yu
,
W.
,
Lin
,
K.
, and
Liu
,
J.
,
2023
, “
Mechanism and Prediction Method of Fretting Damage in Involute Spline Couplings of Aero-Engine
,”
Eng. Fail. Anal.
,
148
, p.
107200
.
6.
Knabner
,
D.
,
Hauschild
,
S.
,
Suchý
,
L.
,
Vetter
,
S.
,
Leidich
,
E.
, and
Hasse
,
A.
,
2022
, “
Calculation Method for the Fail-Safe Design of Steel-Steel Contacts Subject to Fretting Fatigue Based on a Worst-Case Assumption
,”
Int. J. Fatigue
,
165
, p.
107217
.
7.
Infante
,
V.
,
Freitas
,
M.
, and
Baptista
,
R.
,
2022
, “
Failure Analysis of a Parabolic Spring Belonging to a Railway Wagon
,”
Eng. Fail. Anal.
,
140
, p.
106526
.
8.
Shi
,
L.
,
Wei
,
D.
,
Wang
,
Y.
,
Tian
,
A.
, and
Li
,
D.
,
2016
, “
An Investigation of Fretting Fatigue in a Circular arc Dovetail Assembly
,”
Int. J. Fatigue
,
82
, pp.
226
237
.
9.
Xu
,
X. Y.
,
Ge
,
H. W.
,
Wu
,
H.
, and
Jia
,
H. J.
,
2024
, “
Research on Nonlinear Characteristics of Herringbone Planetary Gear Transmission System Considering Double-Sided Meshing Impact
,”
Nonlinear Dyn.
,
112
(
5
), pp.
3195
3215
.
10.
Hahn
,
B.
,
Durstewitz
,
M.
, and
Rohrig
,
K.
,
2007
, “
Reliability of Wind Turbines
,”
Proceedings of the Euromech Colloquium
,
Heidelberg, Berlin
,
Oct. 5–7
, Springer, pp.
329
332
.
11.
Niu
,
R.
,
Wei
,
J.
,
Wang
,
Y. W.
, and
Lim
,
T. C.
,
2023
, “
Three-Dimensional Fretting and Sliding Contact Model in Planetary Gear System: Theoretical Analysis and Experiments
,”
Mech. Mach. Theory
,
186
, pp.
105375
.
12.
Wei
,
J.
,
Niu
,
R.
,
Dong
,
Q. B.
, and
Zhang
,
S. J.
,
2022
, “
Fretting-Slipping Fatigue Failure Mode in Planetary Gear System
,”
Int. J. Fatigue
,
136
, pp.
105632
.
13.
Shen
,
G.
,
Xiang
,
D.
,
Zhu
,
K.
,
Li
,
J.
,
Shen
,
Y. H.
, and
Li
,
Y. L.
,
2018
, “
Fatigue Failure Mechanism of Planetary Gear Train for Wind Turbine Gearbox
,”
Eng. Fail. Anal.
,
87
, pp.
96
110
.
14.
Efremidis
,
G.
,
Rambert
,
G.
, and
Aifantis
,
E. C.
,
2004
, “
Gradient Elasticity and Size Effect for a Pressurized Thick Hollow Cylinder
,”
J. Mech. Behav. Mater.
,
15
(
3
), pp.
169
184
.
15.
Wang
,
P. F.
,
Xu
,
H. Y.
,
Ma
,
H.
,
Han
,
H. Z.
, and
Yang
,
Y.
,
2022
, “
Effects of Three Types of Bearing Misalignments on Dynamic Characteristics of Planetary Gear set-Rotor System
,”
Mech. Syst. Signal Process
,
169
, pp.
108736
.
16.
Boresi
,
A. P.
, and
Schmidt
,
R. J.
,
2002
,
Advanced Mechanics of Materials
,
John Wiley & Sons
,
Hoboken, NJ
.
17.
Revenko
,
V. P.
,
2014
, “
Determination of the Three-Dimensional Stress-Strain State of a Thick-Walled two-Layer Cylinder
,”
Mater. Sci.
,
50
(
3
), pp.
369
376
.
18.
Chen
,
W.
, and
Wang
,
Q.
,
2008
, “
A Numerical Model for the Point Contact of Dissimilar Materials Considering Tangential Tractions
,”
Mech. Mater.
,
40
(
11
), pp.
936
948
.
19.
Polonsky
,
I. A.
, and
Keer
,
L. M.
,
1999
, “
A Numerical Method for Solving Rough Contact Problems Based on the Multi-Level Multi-Summation and Conjugate Gradient Techniques
,”
Wear
,
231
(
2
), pp.
206
219
.
20.
Wang
,
Z.
,
Yu
,
C.
, and
Wang
,
Q.
,
2015
, “
An Efficient Method for Solving Three-Dimensional Fretting Contact Problems Involving Multilayered or Functionally Graded Materials
,”
Int. J. Solids Struct.
,
66
, pp.
46
61
.
21.
Fouvry
,
S.
,
Kapsa
,
P.
, and
Vincent
,
L.
,
1995
, “
Analysis of Sliding Behaviour for Fretting Loadings: Determination of Transition Criteria
,”
Wear
,
185
(
1–2
), pp.
35
46
.
22.
Ödfalk
,
M.
, and
Vingsbo
,
O.
,
1992
, “
An Elastic-Plastic Model for Fretting Contact
,”
Wear
,
157
(
2
), pp.
435
444
.
23.
Pan
,
S. J.
,
Li
,
C. F.
,
Jia
,
T. C.
, and
Wang
,
Y. Z.
,
2024
, “
An Improved Energy Wear Model of Three-Dimensional Ball-Plane Contact Structure and its Fretting Wear Dynamic Behaviors Study
,”
Wear
,
550
, pp.
205405
.
You do not currently have access to this content.