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An Ease-off Based Methodology for Contact Detection and Penetration Calculation

Book Contribution - Book Chapter Conference Contribution

Detailed studies of gear transmissions, such as NVH (Noise Vibration and Harshness) or durability analyses, require an accurate description of the contact forces, acting on meshing gear teeth. In order to properly model the contact force between two bodies, an accurate prediction of the contact locations and corresponding penetrations is required, before contact loads can be calculated. This paper proposes a numerically efficient and accurate contact model to calculate the contact locations and penetrations between mating gear flanks by making use of the ease-off concept. The proposed approach exploits the fact that mating gear flanks are designed to be close-to-conjugate and can account for possible micro-modifications and relative motion between the meshing gear flanks. Furthermore, this paper proposes an extension to the ease-off based contact modeling which enables accounting for misalignments without the need to recalculate the ease-off topography for each new misaligned configuration. In a preprocessing step to the actual contact detection algorithm, the surface of roll angles and ease-off topography for a given gear pair under a given kinematic configuration are calculated, starting from a cloud-of-point representation of the different gears. The use of a cloud-of-point representation, combined with the knowledge of the surface normal vectors, allows for the analysis of different types of gears, without the need of a detailed knowledge of the manufacturing process. Therefore, the created algorithm can account for different gear geometries, ranging from cylindrical gears to bevel and hypoid gears.
Book: Power Transmissions: Proceedings of the International Conference on Power Transmissions 2016 (ICPT 2016)
Pages: 167 - 173
Publication year:2016