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Title: On the dynamics of lubricated hypoid gears
Authors: Karagiannis, Ioannis
Theodossiades, Stephanos
Rahnejat, Homer
Keywords: Hypoid gear pair
Non-Newtonian Eyring regime of traction
Asperity interactions
Axle whine phenomenon
Issue Date: 2012
Publisher: © Elsevier
Citation: KARAGIANNIS, I., THEODOSSIADES, S. and RAHNEJAT, H., 2012. On the dynamics of lubricated hypoid gears. Mechanism and Machine Theory, 48 (1), pp.94-120.
Abstract: The torsional dynamics of a vehicle differential hypoid gear pair is investigated. The model comprises applied torque, representing transmitted engine power, including engine order vibration. A number of gear teeth pairs transmit the applied torque through their lubricated conjunctions. Tooth contact analysis (TCA) is used to obtain the appropriate geometrical, kinematic and meshing parameters. These enable the evaluation of contact loads, film thickness and friction for conjugate teeth pairs, which are subject to mixed thermo-elastohydrodynamic regime of lubrication. It is shown that the lubricant undergoes non-Newtonian shear in line with the Eyring regime of traction. The inclusion of combined thermal non-Newtonian shear and boundary interactions has not hitherto been reported for the tribo-dynamics of hypoid gear pairs. When rate of change of gear teeth contact radii is included in the analysis more complex system dynamics (loss of teeth contact) result, particularly at higher speeds. The stated features constitute the main contributions of the current work, which have not hitherto been reported in literature. It is also shown that teeth contact separation ensues when resonant conditions are noted. This is regarded as the main root cause of a noise and vibration phenomenon, known as axle whine.
Description: NOTICE: this is the author’s version of a work that was accepted for publication in the journal, Mechanism and Machine Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at: http://dx.doi.org/10.1016/j.mechmachtheory.2011.08.012
Version: Accepted for publication
DOI: 10.1016/j.mechmachtheory.2011.08.012
URI: https://dspace.lboro.ac.uk/2134/13349
Publisher Link: http://dx.doi.org/10.1016/j.mechmachtheory.2011.08.012
ISSN: 0094-114X
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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