Title: A spur gear mesh interface damping model based on elastohydrodynamic contact behaviour

Authors: S. Li, A. Kahraman

Addresses: Department of Mechanical Engineering, The Ohio State University, 201 W. 19th Avenue, Columbus, OH 43210, USA. ' Department of Mechanical Engineering, The Ohio State University, 201 W. 19th Avenue, Columbus, OH 43210, USA

Abstract: In this study, the damping mechanism at the interface of the mating spur gear teeth is investigated. The dynamic behaviour of a spur gear pair is represented by a two Degree-of-Freedom (DOF) nonlinear model with the damping provided by the instantaneous tribological behaviour of the tooth contacts. The shear stress distributions along the tooth surfaces are incorporated with the dynamic model to formulate the periodic gear mesh viscous damping. With the assumption the radii of curvature of the contact surfaces can be represented by the ones at the pitch point, a simplified expression for the damping ratio is formulated.

Keywords: gear dynamics; spur gears; gear lubrication; gear mesh damping; elastohydrodynamic contact; nonlinear modelling; mating gear teeth; tribology; shear stress; dynamic modelling; viscous damping.

DOI: 10.1504/IJPT.2011.041907

International Journal of Powertrains, 2011 Vol.1 No.1, pp.4 - 21

Published online: 26 Feb 2015 *

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