Abstract
The article presents mathematical models of forming wheel and gear arc teeth surfaces for semi-rolled cylindrical gearing based on the theory of spatial meshing gears. The technology of cutting semi-rolled cylindrical gearing arc teeth is simpler and implemented on NC machines. Semi-rolled gearing allows for the single-ratio implementation of finite cylindrical gearing gear ratios. Analytical dependences determining the point coordinates of the usable flanks and fillet surfaces of wheel and gear arc teeth are presented. The algorithm for calculating arc teeth end section points is offered and illustrated by an example. The obtained mathematical dependences are necessary to build 3D arc teeth models to study their stress-strain state and geometric and kinematic characteristics of arc teeth meshing in gearing.
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Syzrantsev, V., Syzrantseva, K., Kolbasin, D. (2021). Forming Surfaces of a Semi-rolled Cylindrical Gearing Wheel and a Gear Arc Teeth. In: Radionov, A.A., Gasiyarov, V.R. (eds) Proceedings of the 6th International Conference on Industrial Engineering (ICIE 2020). ICIE 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-54814-8_16
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