Abstract
A mathematical approach to determining the number of teeth in a hybrid cutting–deforming tool—a shaver and roller system — with specified radius of curvature of its round tooth is outlined. The formulation of an algorithm for computer solution of the problem is considered.
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REFERENCES
Malikov, A.A., Sidorkin, A.V., and Yamnikov, A.S., Cutting and plastic deformation in the shaving and rolling of cylindrical gears with round teeth, Russ. Eng. Res., 2013, vol. 33, no. 6, pp. 363–366.
Malikov, A.A. and Sidorkin, A.V., Heat liberation in the shaving of cylindrical gears, Russ. Eng. Res., 2015, vol. 35, no. 8, pp. 631–634.
Malikov, A.A., Sidorkin, A.V., and Rakhmetov, S.L., Determination of the minimum radius of the cylindrical gear torwue curvature in accordance with technological limitations arising in tooth processing, Izv. Tul’sk. Gos. Univ., Tekh. Nauki, 2018, no. 7, pp. 131–136.
Malikov, A.A., Sidorkin, A.V., and Rakhmetov, S.L., Determination of parametric correlation mechanism of shaver-roller diameter with diameter of cylindrical wheel with circular tooth worked by it, Naukoemkie Tekhnol. Mashinostr., 2018, no. 9, pp. 39–44.
Malikov, A.A., Sidorkin, A.V., and Rakhmetov, S.L., Determination of basic parameter impact of shaver-roller chip groove upon its width, Naukoemkie Tekhnol. Mashinostr., 2018, no. 11, p. 914.
Koganov, I.A., Progressivnaya obrabotka zubchatykh profilei i fasonnykh poverkhnostei (Advanced Processing of Tooth Profiles and Shaped Surfaces), Tula: Priokskoe Knizhn. Izd., 1970.
Newton’s method, Wikipedia, 2018. https://en.wikipedia.org/wiki/Newton%27s_method. Accessed December 2, 2018.
Amosov, A.A., Dubinskii, Yu.A., Kopchenova, N.V., Vychislitel’nye metody dlya inzhenerov: Uchebnoe posobie (Computational Methods for Engineers: Manual), Moscow: Vysshaya Shkola, 1994.
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Translated by B. Gilbert
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Malikov, A.A., Sidorkin, A.V., Rakhmetov, S.L. et al. Determining the Diameter of a Shaver and Roller System with Specified Tooth Radius of Curvature. Russ. Engin. Res. 39, 959–961 (2019). https://doi.org/10.3103/S1068798X19110133
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DOI: https://doi.org/10.3103/S1068798X19110133