An iterative model for mesh stiffness of spur gears considering slice coupling under elastohydrodynamic lubrication

Abstract

Elastohydrodynamic lubrication (EHL) plays a crucial role in reducing surface deformation and friction, leading to improved stability and reliability of gear transmissions. A model is proposed to investigate the complex relationship between EHL and time-varying mesh stiffness (TVMS) in spur gears, aiming to solve the TVMS under EHL. The proposed model incorporates EHL, slice coupling, extended tooth contact (ETC), gear body coupling flexibility, and modified tooth stiffness. To enhance accuracy, the tooth stiffness is adjusted by eliminating redundant energy calculations. Furthermore, an iterative relationship between slice coupling and deformation compatibility equations (DCE) is derived. The proposed model is validated by MASTA and reference. The effects of EHL and slice coupling on meshing characteristics are analyzed. The findings reveal that the TVMS of gears with crowning increases significantly after considering slice coupling and the load distribution shifts towards the middle of the tooth side.

Keywords

elastohydrodynamic lubrication / time-varying mesh stiffness / slice coupling / deformation compatibility equations

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