Polymer gears replace metal ones in many motion and light power transmission applications. This paper presents a numerical method to predict the mechanical behavior of plastic cylindrical gears and its experimental validation. The numerical method uses a viscoelastic model in its linear domain depending on temperature, humidity, and rotational speed. This numerical simulation computes the load sharing between instantaneously engaged gears and provides results such as contact pressure, tooth root stress, or transmission error. The numerical results are then compared to experimental measures on a test bench developed at the LaMCoS laboratory. This comparison allows the validation of the load sharing model.

References

References
1.
Guingand
,
M.
,
De Vaugany
,
J. P.
, and
Icard
,
Y.
,
2004
, “
Fast 3D Quasi-Static Analysis of Helical Gears Using the Finite Prism Method
,”
ASME J. Mech. Des.
,
126
, pp.
1082
1088
.10.1115/1.1798212
2.
Guingand
,
M.
,
De Vaugany
,
J. P.
, and
Icard
,
Y.
,
2005
, “
Analysis and Optimisation of the Loaded Meshing of the Face Gears
,”
ASME J. Mech. Des.
,
127
, pp.
135
143
.10.1115/1.1828459
3.
Guingand
,
M.
,
De Vaugany
,
J. P.
,
Remond
,
M.
, and
Icard
,
Y.
,
2007
, “
Numerical and Experimental Study of the Loaded Transmission Error of a Spiral Bevel Gear
,”
ASME J. Mech. Des.
,
129
, pp.
129
135
.10.1115/1.2406089
4.
Jabbour
,
T.
, and
Ghazi
,
A.
,
2009
, “
Stress Calculation for Plastic Helical Gears Under a Real Transverse Contact Ratio
,”
Mech. Mach. Theory
,
44
, pp.
2236
2247
.10.1016/j.mechmachtheory.2009.07.003
5.
Tsai
,
M. H.
, and
Tsai
,
Y. C.
,
1997
, “
A Method for Calculating Static Transmission Errors of Plastic Spur Gears Using FEM Evaluation
,”
Finite Elem. Anal. Des.
,
27
, pp.
345
357
.10.1016/S0168-874X(97)81968-3
6.
Walton
,
D.
,
Cropper
,
A. B.
,
Weale
,
D. J.
, and
Klein Meuleman
,
P.
,
2002
, “
The Efficiency and Friction of Plastic Cylindrical Gears—Part 1: Influence of Materials
,”
J. Eng. Tribol.
,
216
, pp.
75
92
.10.1243/1350650021543915
7.
Walton
,
D.
,
Cropper
,
A. B.
,
Weale
,
D. J.
, and
Klein Meuleman
,
P.
,
2002
, “
The Efficiency and Friction of Plastic Cylindrical Gears—Part 2: Influence of Tooth Geometry
,”
J. Eng. Tribol.
,
216
, p.
92
103
.10.1243/1350650021543924
8.
Hiltcher
,
Y.
,
Guingand
,
M.
, and
De Vaujany
,
J. P.
,
2007
, “
Load Sharing of a Worm Gear With a Plastic Wheel
,”
J. Mech. Des.
,
129
, pp.
23
30
.10.1115/1.2359469
9.
Tsukamoto
,
N.
,
1991
, “
Development of Low Noise Gears
,”
JSME Int. J. Ser.
,
34
(
2
), pp.
245
251
.
10.
Kobayashi
,
K.
, and
Tsukamoto
,
N.
,
2000
, “
Formule for Dynamic Behaviours of Tooth Deflection and Tooth Root Train in Plastic Gears
,”
Theory Appl. Mech.
,
49
, pp.
49
56
.
11.
Moriwaki
,
I.
,
Tada
,
K.
,
Tokuda
,
K.
,
Hui
,
G. D.
, and
Saito
,
K.
,
1996
, “
Viscoelastic Behaviour of Plastic Gears for Power Transmission—Fundamental Investigation
,”
Proceedings of the 7th International Power Transmission and Gearing Conference
, ASME, San Diego, CA, Vol.
88
, pp.
125
131
.
12.
Letzelter
,
E.
,
De Vaujany
,
J. P.
,
Guingand
,
M.
, and
Chazeau
,
L.
,
2009
, “
Quasi-Static Load Sharing Model in the Case of Nylon 6/6 Cylindrical Gears
,”
Mater. Des.
,
30
(
10
), pp.
4360
4368
.10.1016/j.matdes.2009.04.008
13.
Block
,
H.
,
1937
, “
Theoritical Study of Temperature Rise at Surface of Actual Contact Under Oiliness Lubricating Conditions
,”
Proc. Inst. Mech. Eng.
,
2
, pp.
222
235
.10.1016/0043-1648(63)90283-7
14.
Hooke
,
C. J.
,
Mao
,
K.
,
Walton
,
D.
,
Breeds
,
A. R.
, and
Kukureka
,
S. N.
,
1993
, “
Measurement and Prediction of the Surface Temperature in Polymer Gears and its Relationship to Gear Wear
,”
ASME J. Tribol.
,
115
, pp.
119
124
.10.1115/1.2920964
15.
Letzelter
,
E.
,
De Vaujany
,
J. P.
,
Guingand
,
M.
, and
Schlosser
,
P.
,
2010
, “
A New Experimental Approach for Measuring Thermal Behaviour in the Case of Nylon 6/6 Cylindrical Gears
,”
Polym. Test.
,
29
, pp.
1041
1051
.10.1016/j.polymertesting.2010.09.002
16.
Guingand
,
M.
,
De Vaujany
,
J. P.
, and
Jacquin
,
C. Y.
,
2005
, “
Quasi-Static Analysis of a Face Gear Under Torque
,”
Comput. Methods Appl. Mech. Eng.
,
194
, pp.
4301
4318
.10.1016/j.cma.2004.10.010
17.
Guingand
,
M.
, and
De Vaujany
,
J. P.
,
2009
, “
Geometry, Kinematics and Load Sharing of Pinion Rack Gear With Variable Ratio
,”
Proceedings of the JSME International Conference on Motion and Power Transmissions
, pp.
13
15
.
18.
Teixeira Alves
,
J.
,
Guingand
,
M.
, and
De Vaujany
,
J. P.
,
2010
, “
Set of Functions for the Calculation of Bending Displacement for Spiral Bevel Gear Teeth
,”
Mech. Mach. Theory
,
45
(
2
), pp.
349
363
.10.1016/j.mechmachtheory.2009.09.006
19.
Boussinesq
,
J.
,
1959
,
Application des Potentials à L’étude de L'équilibre et du Mouvement des Solides Élastiques
,
Albert Blanchard
,
Paris
.
20.
Senthilvelan
,
S.
, and
Gnanamoorthy
,
R.
,
2007
, “
Effect of Rotational Speed on the Performance of Unreinforced and Glass Fiber Reinforced Nylon 6 Spur Gears
,”
Mater. Des.
,
28
, pp.
765
772
.10.1016/j.matdes.2005.12.002
21.
Koffi
,
D.
,
Gauvin
,
R.
, and
Velle
,
H.
,
1985
, “
Heat Generation in Thermoplastic Spur Gears
,”
ASME J. Mech. Transm.
, Autom. Des.,
107
, pp.
31
37
.10.1115/1.3258688
22.
Mao
,
K.
,
2007
, “
A New Approach for Polymer Composite Gear Design
,”
Wear
,
262
, pp.
423
441
.10.1016/j.bbr.2011.03.031
23.
Mao
,
K.
,
2007
, “
A Numerical Method for Polymer Composite Gear Flash Temperature Prediction
,”
Wear
,
262
, pp.
1321
1329
.10.1016/j.wear.2007.01.008
You do not currently have access to this content.