Abstract

Parallel line gear pair (PLGP) can achieve pure rolling meshing along its theoretical contact curves under the ideal condition. However, the actual meshing positions may deviate from the theoretical ones under the actual operating conditions, which may result in the alternation of contact pressure distribution and cause relative sliding of the meshing surfaces. Contact pressure and relative sliding are two main factors causing surface wear. A calculation method of surface wear of plastic line gear (LG) pair under dry friction conditions was studied theoretically and experimentally, taking a polyoxymethylene (POM) PLGP as an example. Based on the geometric model of PLGP considering the misalignments under the actual operating conditions, this method employs the three-element model and influence coefficient method to compute the contact pressure with the consideration of the viscoelasticity of the gear material. Archard’s wear equation is applied to calculate the surface wear depth. Results of the wear experiment of the POM PLGP specimens validated the feasibility of the calculation method. This study provides a necessary basis for the engineering application of plastic LG pairs.

References

1.
Evans
,
S. M.
, and
Keogh
,
P. S.
,
2016
, “
Efficiency and Running Temperature of a Polymer–Steel Spur Gear Pair From Slip/Roll Ratio Fundamentals
,”
Tribol. Int.
,
97
, pp.
379
389
.
2.
Kirupasankar
,
S.
,
Gurunathan
,
C.
, and
Gnanamoorthy
,
R.
,
2012
, “
Transmission Efficiency of Polyamide Nanocomposite Spur Gears
,”
Mater. Des.
,
39
, pp.
338
343
.
3.
İmrek
,
H.
,
2009
, “
Performance Improvement Method for Nylon 6 Spur Gears
,”
Tribol. Int.
,
42
(
3
), pp.
503
510
.
4.
Beheshti
,
A.
, and
Khonsari
,
M. M.
,
2013
, “
An Engineering Approach for the Prediction of Wear in Mixed Lubricated Contacts
,”
Wear
,
308
(
1–2
), pp.
121
131
.
5.
Benabdallah
,
H.
, and
Olender
,
D.
,
2006
, “
Finite Element Simulation of the Wear of Polyoxymethylene in pin-on-Disc Configuration
,”
Wear
,
261
(
11–12
), pp.
1213
1224
.
6.
Wu
,
S.
, and
Cheng
,
H. S.
,
1993
, “
Sliding Wear Calculation in Spur Gears
,”
ASME J. Tribol.
,
115
(
3
), pp.
493
500
.
7.
Flodin
,
A.
, and
Andersson
,
S.
,
1997
, “
Simulation of Mild Wear in Spur Gears
,”
Wear
,
207
(
1–2
), pp.
16
23
.
8.
Flodin
,
A.
, and
Andersson
,
S.
,
2000
, “
Simulation of Mild Wear in Helical Gears
,”
Wear
,
241
(
2
), pp.
123
128
.
9.
Zhou
,
C.
,
Xing
,
M.
,
Hu
,
B.
, and
Shi
,
Z.
,
2020
, “
A Modified Wear Model Considering Contact Temperature for Spur Gears in Mixed Elastohydrodynamic Lubrication
,”
Tribol. Lett.
,
68
(
4
), p.
110
.
10.
Park
,
D.
, and
Kahraman
,
A.
,
2009
, “
A Surface Wear Model for Hypoid Gear Pairs
,”
Wear
,
267
(
9–10
), pp.
1595
1604
.
11.
Park
,
D.
,
Kolivand
,
M.
, and
Kahraman
,
A.
,
2014
, “
An Approximate Method to Predict Surface Wear of Hypoid Gears Using Surface Interpolation
,”
Mech. Mach. Theory
,
71
, pp.
64
78
.
12.
Jbily
,
D.
,
Guingand
,
M.
, and
De Vaujany
,
J.
,
2015
, “
A Wear Model for Worm Gear
,”
Proc. Inst. Mech. Eng. Part C J. Eng. Mech. Eng. Sci.
,
230
(
7–8
), pp.
1290
1302
.
13.
Bravo
,
A.
,
Koffi
,
D.
,
Toubal
,
L.
, and
Erchiqui
,
F.
,
2015
, “
Life and Damage Mode Modeling Applied to Plastic Gears
,”
Eng. Failure Anal.
,
58
(Part 1), pp.
113
133
.
14.
Lin
,
A. D.
, and
Kuang
,
J. H.
,
2008
, “
Dynamic Interaction Between Contact Loads and Tooth Wear of Engaged Plastic Gear Pairs
,”
Int. J. Mech. Sci.
,
50
(
2
), pp.
205
213
.
15.
Karpat
,
F.
,
Ekwaro-Osire
,
S.
,
Yüce
,
C.
, and
Karpat
,
E.
,
2013
, “
A Virtual Tool for Wear Simulation of Plastic Gear Pairs
,”
Proceedings of the ASME 2013 International Mechanical Engineering Congress and Exposition. Volume 9: Mechanics of Solids, Structures and Fluids
,
San Diego, CA
,
Nov. 15–21
.
16.
Akbarzadeh
,
S.
, and
Khonsari
,
M. M.
,
2008
, “
Performance of Spur Gears Considering Surface Roughness and Shear Thinning Lubricant
,”
ASME J. Tribol.
,
130
(
2
), p.
021503
.
17.
Wayne Chen
,
W.
,
Jane Wang
,
Q.
,
Huan
,
Z.
, and
Luo
,
X.
,
2011
, “
Semi-analytical Viscoelastic Contact Modeling of Polymer-Based Materials
,”
ASME J. Tribol.
,
133
(
4
), p.
041404
.
18.
Cathelin
,
J.
,
Letzelter
,
E.
,
Guingand
,
M.
,
De Vaujany
,
J.
, and
Chazeau
,
L.
,
2013
, “
Experimental and Numerical Study of a Loaded Cylindrical PA66 Gear
,”
ASME J. Mech. Des.
,
135
(
4
), p.
041007
.
19.
Singh
,
P. K.
,
Vashishtha
,
S.
, and
Singh
,
A. K.
,
2018
, “
An Investigation on the Thermal and Wear Behavior of Polymer Based Spur Gears
,”
Tribol. Int.
,
118
, pp.
264
272
.
20.
Mao
,
K.
,
Greenwood
,
D.
,
Ramakrishnan
,
R.
,
Goodship
,
V.
,
Shrouti
,
C.
,
Chetwynd
,
D.
, and
Langlois+
,
P.
,
2019
, “
The Wear Resistance Improvement of Fibre Reinforced Polymer Composite Gears
,”
Wear
,
426–427
, pp.
1033
1039
.
21.
Mbarek
,
M.
,
Rhaiem
,
S.
,
Kharrat
,
M.
, and
Dammak
,
M.
,
2016
, “
Experimental Simulation of the Friction, Temperature, and Wear Distributions for Polyamide-Steel Gear Contact Using Twin-Disc Setup
,”
Proc. Inst. Mech. Eng. Part J. J. Eng. Tribol.
,
230
(
9
), pp.
1127
1138
.
22.
Chen
,
Y.
,
2014
,
Line Gear
,
Science Press
,
Beijing
(In Chinese).
23.
Chen
,
Y.
,
Xiang
,
X.
, and
Luo
,
L.
,
2009
, “
A Corrected Equation of Space Curve Meshing
,”
Mech. Mach. Theory
,
44
(
7
), pp.
1348
1359
.
24.
Ding
,
J.
,
Chen
,
Y.
,
Lv
,
Y.
, and
Song
,
C.
,
2014
, “
Position-Parameter Selection Criterion for a Helix-Curve Meshing-Wheel Mechanism Based on Sliding Rates
,”
Strojniski Vestn. J. Mech. Eng.
,
60
(
9
), pp.
561
570
.
25.
Chen
,
Z.
,
Zeng
,
M.
, and
Fuentes-Aznar
,
A.
,
2020
, “
Computerized Design, Simulation of Meshing and Stress Analysis of Pure Rolling Cylindrical Helical Gear Drives with Variable Helix Angle
,”
Mech. Mach. Theory
,
153
, p.
103962
.
26.
Bajpai
,
P.
,
Kahraman
,
A.
, and
Anderson
,
N.
,
2004
, “
A Surface Wear Prediction Methodology for Parallel-Axis Gear Pairs
,”
ASME J. Tribol.
,
126
(
3
), pp.
597
605
.
27.
Tsukamoto
,
N.
,
1995
, “
Argument on Plastic Gears for Power Transmission
,”
JSME Int. J. Ser. C Mech. Syst. Mach. Elem. Manuf.
,
38
(
1
), pp.
1
8
.
28.
Flügge
,
W.
,
1975
,
Viscoelasticity
,
Springer-Verlag
,
New York
.
You do not currently have access to this content.