0
RESEARCH PAPERS

Load Distribution in Spiral Bevel Gears

[+] Author and Article Information
Vilmos Simon

Department of Machine Elements, Faculty of Mechanical Engineering, Institute of Machine Design, Budapest University of Technology and Economics, H-1111 Budapest, Müegyetem rkp. 3, Hungary

J. Mech. Des 129(2), 201-209 (Feb 02, 2006) (9 pages) doi:10.1115/1.2406090 History: Received March 19, 2005; Revised February 02, 2006

A new approach for the computerized simulation of load distribution in mismatched spiral bevel gears with point contact is presented. The loaded tooth contact is treated in a special way: it is assumed that the point contact under load spreads over a surface along the “potential” contact line (Simon, 2006, Mech. and Machine Theory, in press), which line is made up of the points of the mating tooth surfaces in which the separations of these surfaces are minimal, instead of assuming the usually applied elliptical contact area. The bending and shearing deflections of gear teeth, the local contact deformations of mating surfaces, gear body bending and torsion, the deflections of supporting shafts, and the manufacturing and alignment errors of mating members are included. The tooth deflections of the pinion and gear teeth are calculated by the finite element method. As the equations governing the load sharing among the engaged tooth pairs and load distribution along the tooth face are nonlinear, an approximate and iterative technique is used to solve this system of equations. The method is implemented by a computer program. By using this program the load and tooth contact pressure distributions, the angular displacements of the driven gear and the stresses in the pinion and gear teeth are calculated. The influence of design data and transmitted torque on load distribution parameters and fillet stresses is investigated and discussed.

Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 3

Path of contact, pressure distributions, and contact areas on engaged tooth pairs for an instantaneous position of the mating members

Grahic Jump Location
Figure 4

Path of contact and pressure distributions for 21 instantaneous positions of the mating members

Grahic Jump Location
Figure 5

Tooth deformations calculated by finite strip and finite element methods, presented in Ref. 24

Grahic Jump Location
Figure 6

Tooth deformations calculated by Eq. 13 for the spiral bevel pinion from Ref. 24

Grahic Jump Location
Figure 7

Variation of contact stresses through a mesh cycle, presented in Ref. 25

Grahic Jump Location
Figure 8

Variation of tooth contact pressures through a mesh cycle for the spiral bevel gear pair from Ref. 25, calculated by the method presented in this paper

Grahic Jump Location
Figure 9

Influence of pinion tooth number on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 2

Variation of maximum tooth contact pressures through a mesh cycle

Grahic Jump Location
Figure 1

Position of the loaded (F) and deflected (D) tooth surface points

Grahic Jump Location
Figure 16

Path of contact and pressure distributions for bearing factor B=0.25

Grahic Jump Location
Figure 17

Influence of transmitted torque on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 18

Path of contact and pressure distributions for transmitted torque of T=10Nm

Grahic Jump Location
Figure 19

Path of contact and pressure distributions for transmitted torque of T=200Nm

Grahic Jump Location
Figure 20

Path of contact and pressure distributions for transmitted torque of T=500Nm

Grahic Jump Location
Figure 10

Influence of gear tooth number on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 11

Influence of pressure angle on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 12

Influence of mean spiral angle on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 13

Influence of face width on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 14

Influence of tooth bearing factor on maximum tooth contact pressure, load distribution factor, transmission errors, and fillet stresses

Grahic Jump Location
Figure 15

Path of contact and pressure distributions for bearing factor B=0.05

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In