Tretyak, T. E.Gutsalenko, Yu. G.Shelkovoi, A. N.Mironenko, A. L.Mironenko, S. A.2021-02-252021-02-252019Mathematical modeling of the profile of a gear cutting rolling tool for machining of non-involute gear wheels / T. E. Tretyak [et al.] // Fiabilitate si durabilitate – Fiability & durability. – 2019. – No. 2. – P. 5-11.https://repository.kpi.kharkov.ua/handle/KhPI-Press/51289In this article, the relevance of the study of gears with a complex non-involute profile of the tooth flanks is justified. For the subsequent study of non-involute gearings, the task of mathematical modeling of the profile of a gear-cutting rolling tool for machining of noninvolute gear wheels is solved. As a profile of the tooth flank of a rack, a certain section of one of the previously simulated flat kinematic curves is considered. Based on the algorithm for calculating the profile of envelope surfaces, a method for geometric analysis of the process of surfaces shaping by rolling gear cutting tools has been developed. Using computer graphics, the sequential shaping of the teeth space of non-involute gear wheels processed by rolling gear cutting tools with a given tooth profile was studied.enshaping of gear wheelsmating surfacestooth profileflat kinematic curveArticlehttps://orcid.org/0000-0003-4701-6504