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Документ Modeling of machining of non-involute gears(2023) Myronenko, SerhiiIn 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 f or machining of non involute gear wheels is solved. A method for geometric analysis of the process of surfaces shaping by rolling gear cutting tools has been developed.Документ Методика профилирования фасонной червячной фрезы для формообразования зубчатых колес с неэвольвентным профилем зубьев(Public Organization Foundation for Economic Initiatives, Budapest, Hungary, 2021) Третяк, Татьяна Евгеньевна; Гуцаленко, Юрий Григорьевич; Мироненко, Александр Леонидович; Мироненко, Сергей АлександровичОдним из вариантов обкаточного зуборезного инструмента для формообразования зубчатых колес с неэвольвентным профилем зубьев может быть фасонная червячная фреза. В статье описана разработанная методика профилирования режущей части фасонной червячной фрезы для обработки зубчатых колес нормальной точности. Для решения задачи использована единая математическая база – аппарат многопараметрических отражений пространства.Документ Mathematical modeling of cutting tool profile for machining of non-involute gears(2019) Tretyak, T. E.; Gutsalenko, Yu. G.; Shelkovoi, A. N.; Mironenko, A. L.; Mironenko, S. A.In this research, 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 non-involute 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.Документ Mathematical modeling of the profile of a gear cutting rolling tool for machining of non-involute gear wheels(Editura "Academica Brâncuşi", Târgu Jiu, România, 2019) Tretyak, T. E.; Gutsalenko, Yu. G.; Shelkovoi, A. N.; Mironenko, A. L.; Mironenko, S. A.In 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.