A nonlinear finite element contact mechanics model of a helical gear pair was used to study the effect of intentional tooth profile modifications on durability of helical gear pairs. Both two-dimensional (2D) and three-dimensional (3D) modifications were considered. A detailed parametric study was performed to quantify the changes in the contact and bending stresses as a function of tooth profile modification parameters as compared to an unmodified gear pair baseline. The combined influence of modification parameters and torque transmitted on the maximum stresses is described. Results indicate that both bending and contact stresses of a helical gear pair are increased significantly when 2D modifications are applied, potentially causing an underestimation of the actual stress values when the modifications are not included in stress calculations. When properly selected, 3D modifications cause significantly less stress increases.

Issue Section:
Technical Papers
Keywords:
mechanical contact, rotating bodies, bending, torque, stress analysis
Topics:
Bending (Stress), Durability, Gears, Helical gears, Stress, Torque
1.
Wagaj, P., and Kahraman, A., 2002, “Impact of Tooth Profile Modifications on Transmission Error Excitation of Helical Gear Pairs,” 6th Biennial Conference on Engineering Systems Design and Analysis, ESDA2002/DES-005.
2.
Gregory
,
R. W.
,
Harris
,
S. L.
, and
Munro
,
R. G.
,
1963
, “
Dynamic Behaviour of Spur Gears
,”
Proc. Inst. Mech. Eng.
,
178
, pp.
207
–
225
.
3.
Kahraman
,
A.
, and
Singh
,
R.
,
1990
, “
Nonlinear Dynamics of a Spur Gear Pair
,”
J. Sound Vib.
,
142
, pp.
49
–
75
.
4.
Blankenship
,
G. W.
, and
Kahraman
,
A.
,
1995
, “
Steady State Forced Response of a Mechanical Oscillator with Combined Parametric Excitation and Clearance Non-linearity
,”
J. Sound Vib.
,
185
, pp.
743
–
765
.
5.
Kahraman
,
A.
, and
Blankenship
,
G. W.
,
1999
, “
Effect of Involute Tip Relief on Dynamic Response of Spur Gear Pairs
,”
ASME J. Mech. Des.
,
121
, pp.
313
–
315
.
6.
Umezawa
,
K.
,
Wang
,
S.
,
Houjoh
,
H.
, and
Matsumura
,
S.
,
1998
, “
Dynamics of Gear Pairs with Bias Modifications
,”
JSME Transactions
,
pp.
1414
–
1420
.
7.
Saiki, K., and Watanabe, T., 2000, “Transmission Error Analysis of Helical Gears for Any Load Condition,” Proceedings of Eighth International Power Transmission and Gearing Conference, PTG-14421.
8.
Umeyama
,
M.
,
Kato
,
M.
, and
Inoue
,
K.
,
1998
, “
Effects of Gear Dimensions and Tooth Surface Modifications on the Loaded Transmission Error of a Helical Gear Pair
,”
ASME J. Mech. Des.
,
120
, pp.
119
–
125
.
9.
Umezawa, K., 1999, “Low Vibration Design on a Helical Gear Pair,” AGMA Fall Annual Meeting. Cincinnati
10.
Vijayakar
,
S.
,
1991
, “
A Combined Surface Integral and Finite Element Solution for a Three-Dimensional Contact Problem
,”
Int. J. Numer. Methods Eng.
,
31
, pp.
525
–
545
.
Copyright © 2002
 by ASME
You do not currently have access to this content.