The finite element method is widely applied for the determination of contact and bending stresses in gear drives. It is based on the finite element model of the gear drive that is built by the discretization of the pinion and gear teeth and usually does not take into account the supporting components of the gears, as shafts, their bearings, or the gear case. Such components have an important influence in the formation of the bearing contact due to their deformations under load. Recently, some improved models have been proposed for finite element analysis of gear drives including their shafts. Those models have allowed shaft deflections to be taken into account for the investigation of formation of the bearing contact under load and its influence on bending and contact stresses. In this paper, an enhanced finite element model that takes into account not only the shaft deflections but also the torsional deformation of gear tooth surfaces due to torque transmission is proposed. Some numerical examples have been included.

References

References
1.
Atanasovska
,
I.
, and
Nikolic
,
V.
, 2006, “
3D Spur Gear FEM Model for the Numerical Calculation of Face Load Factor
,”
Mech., Autom. Control Rob.
,
6
(
1
), pp.
131
143
.
2.
Li
,
S.
, 2007, “
Finite Element Analyses for Contact Strength and Bending Strength of a Pair of Spur Gears With Machining Errors, Assembly Errors and Tooth Modifications
,”
Mech. Mach. Theory
,
42
(
1
), pp.
88
114
.
3.
Chen
,
Y. C.
, and
Liu
,
C. C.
, 2011, “
Contact Stress Analysis of Concave Conical Involute Gear Pairs With Non-Parallel Axes
,”
Finite Elem. Anal. Des.
,
47
(
4
), pp.
443
452
.
4.
Litvin
,
F. L.
,
Fuentes
,
A.
,
Fan
,
Q.
, and
Handschuh
,
R. F.
, 2002, “
Computerized Design, Simulation of Meshing, and Contact and Stress Analysis of Face-Milled Formate Generated Spiral Bevel Gears
,”
Mech. Mach. Theory
,
37
(
5
), pp.
441
459
.
5.
Litvin
,
F. L.
, and
Fuentes
,
A.
, 2004,
Geometry and Applied Theory
,
2nd ed.
,
Cambridge University Press
,
New York
.
6.
Roda-Casanova
,
V.
,
Iserte-Vilar
,
J. L.
,
Sanchez-Marin
,
F. T.
,
Fuentes
,
A.
, and
Gonzalez-Perez
,
I.
, 2011, “
Development and Comparison of Shaft-Gear Models for the Computation of Gear Misalignments due to Power Transmission
,”
Proceedings of the 11th International Power Transmission and Gearing Conference (IDETC/CIE2011)
,
Washington D.C.
7.
Standard ISO 6336-1, 2000, “
Calculation of Load Capacity of Spur and Helical Gears
,” International Standards Organisation, Geneva, Switzerland.
8.
ANSI/AGMA 2001-D04, 2004, “
Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth
,” American Gear Manufacturers Association, Alexandria.
9.
Hibbit, Karlsson & Sirensen, Inc., 1998, ABAQUS/Standard User’s Manual, 1800 Main Street, Pantucket.
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