JMES-15-0545_final_reviewed.pdf (1.19 MB)
Lubrication analysis and sub-surface stress field of an automotive differential hypoid gear pair under dynamic loading
journal contribution
posted on 2015-11-16, 11:04 authored by Leonidas Paouris, Stephanos TheodossiadesStephanos Theodossiades, Miguel De la Cruz, Homer Rahnejat, Adam Kidson, Gregory Hunt, William BartonFilm thickness and sub-surface stress distribution in a highly loaded automotive differential hypoid gear pair are examined.
A 4-Degree of Freedom torsional gear dynamics model, taking into account the torsional stiffness of the pinion and
the gear shafts, is used in order to evaluate the contact load, the surface velocities and the contact radii of curvature of
the mating teeth during a full meshing cycle. The torsional gear dynamics model takes into account both the geometric
non-linearities of the system (backlash non-linearity) as well as the time varying properties (contact radii, meshing
stiffness) and the internal excitations caused by geometrical imperfections of the teeth pair (static transmission
error). The input torque used for the study of the film thickness and the sub-surface stress distribution corresponds
to the region after the main resonance, where no teeth separation occurs. The contact conditions predicted by the gear
dynamics are used as the input for the elastohydrodynamic elliptical point contact analysis. The lubricant film thickness,
the corresponding pressure and surface traction distributions are obtained quasi-statically using the output load of the
dynamic gear pair model. The variation of the induced sub-surface stress field is determined throughout a meshing cycle.
Based on the sub-surface reversing orthogonal shear stresses, marginal differences occur when the viscous shear on the
conjunctional surfaces are taken into account, which are mainly influenced by the applied pressure distribution. The
numerical prediction of lubricant film thickness agrees reasonably well with that predicted using the well-established
extrapolated oil film thickness formulae reported in the literature.
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
Proceedings - Institution of Mechanical Engineers, Part CCitation
PAOURIS, L. ... et al, 2016. Lubrication analysis and sub-surface stress field of an automotive differential hypoid gear pair under dynamic loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 230(7-8), pp.1183-1197.Publisher
Sage (© IMechE)Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2016Notes
This paper was published in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, and the definitive published version can be found at: http://dx.doi.org/10.1177/0954406215608893ISSN
0020-3483eISSN
2041-2983Publisher version
Language
- en