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Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations

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posted on 10.08.2017, 13:04 by E. Athanasopoulos, C. Salpistis, Mahdi Mohammadpour, A. Mihailidis, Stephanos TheodossiadesStephanos Theodossiades, R. Grekoussis
To experimentally verify power loss and friction for hypoid gears, measurements in a closed power-loop test rig are necessary. However, these are costly and mechanically complex, since they require additional spur gear reducers in the loop. ISO directives document the use of crossed helical gear pairs as virtual gears for hypoids to calculate the sliding velocity since, the flank geometry at the mean point can be precisely represented. The use of such pairs can be a cost effective and simpler alternative for testing purposes. However, the validity of this analogy regarding contact mechanics and tribology for the full mesh cycle has not been investigated hitherto. In the current study a new method for calculating the sliding and rolling speed along the full path of contact of a hypoid gear pair is presented. Cutter kinematics are considered, for the accurate definition of the contact bodies. Using TCA, the load distribution on the tooth under quasi-static conditions and the sliding velocity are calculated for comparison purposes. By applying a selection algorithm, a single experimental crossed helical gear pair is chosen aiming to simulate the contact conditions of hypoid gears. Two test scenarios are studied using EHL film thickness equations and friction models for evaluating the power loss. The contact is an elongated ellipse with varying directions of the sliding and sum velocities, which are considered in the model. The kinematic equivalence shows good agreement while the tribological equivalence is achievable using a reduced input torque.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics

Citation

ATHANASOPOULOS, E. ... et al, 2017. Calculation of the kinematics of hypoid gears towards developing a method for an equivalent crossed helical gear pair selection for use in tribological experimental evaluations. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 231 (3), pp. 519-537.

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/

Acceptance date

16/07/2017

Publication date

2017

Notes

This paper was accepted for publication in the journal Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics and the definitive published version is available at https://doi.org/10.1177/1464419317725943.

ISSN

1464-4193

eISSN

2041-3068

Language

en