Non Approximative Modelling of Involute Gear Pair Sliding

Máté, Márton and Szőcs, Krisztina (2024) Non Approximative Modelling of Involute Gear Pair Sliding. MŰSZAKI TUDOMÁNYOS KÖZLEMÉNYEK (EN), 21. pp. 48-55. ISSN 2601-5773

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Abstract

One of the main problems with the operation of involute tooth gears is that during engagement, the tooth profiles slide. The point of contact is the only point where pure rolling occurs among the engaging tooth profiles. This sliding, coupled with abrupt changes in load, collectively contribute to the failure and various malfunctions of the gears. In this research, the theoretical behavior of gears during sliding is studied. Existing mathematical models are examined for describing sliding and the results analysed. Then, a precise math ematical model developed for this research is presented. In creating the model, the aim was to avoid any geometric approximations and only consider the profile points where actual engagement between the gears could occur. Therefore, the contact points are interpreted within the real engagement zone. The overall goal is to create a mathematical solution that is equally applicable to simple and general involute tooth gear drives and which provides an accurate, realistic description of the relative sliding of gears.

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