A Multi-scale Mesh Stiffness Model of Spur Gear Pair with Friction

GW Chen and Q Tang and Y Tian, IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING, 49, 1585-1597 (2025).

DOI: 10.1007/s40997-025-00858-2

A multi-scale time-varying meshing stiffness (TVMS) modeling method of spur gears, which considers friction is proposed using the potential energy method and molecular dynamics (MD). This method captures both the macroscopic dynamic response and the microscopic interface morphology during gear meshing. Compared to the finite element method, the proposed approach demonstrates consistency. Friction coefficients at different friction temperatures, friction speeds, and friction depths are obtained via MD, and their effects on the gear interface's microscopic morphology and TVMS is discussed. Results indicate a non-linear relationship between the friction coefficient and TVMS with temperature changes, with an increase in the disorder of large deformation atoms on the tooth surface. Higher friction speeds reduce friction coefficients and increase TVMS, accompanied by more deformed atoms on both sides of the groove, while greater friction depths increase friction coefficients and decrease TVMS, without significant changes in the number of disordered large deformation atoms.

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