Conclusions
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1.
The above formulas are general and can be used for calculating ball diameters and dimensions required for checking corrected or uncorrected spur gears, as well as special involute gearing with any generating angles or number of teeth in cases when the distance between the base circle and the points where the ball touches the profile of the tooth is given.
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2.
The design formulas cover all the cases encountered in checking gearing.
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3.
The table of involute functions is not required for the above computations.
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Literature cited
É. Buckingham. Manual for Designing Gearing, Part 2. Mashgiz, M. -L., 1946.
Encyclopaedic Handbook entitled “Engineering”, v. 2 [in Russian], Mashgiz, M., 1948.
Engineers' Handbook, v. 4 [in Russian], Mashgiz, M. -L., 1955.
A. L. Markov. Spur Gear Measurements [in Russian], Mashgiz, M.-L., 1959.
Handbook for Production Control in Engineering [in Russian], Mashgiz, M. -L., 1956.
M. I. Inozemtseva. Standartizatsiya, 1958, No. 4.
N. Akerman. Product Eng., 1956, 27, No. 11.
P. M. Danilyuk. Transactions of the Krasnodar Institute of the Food Industry, 1955, v. 12.
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Danilyuk, P.M. Computation of ball diameters for testing gearing. Meas Tech 5, 371–373 (1962). https://doi.org/10.1007/BF00990147
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DOI: https://doi.org/10.1007/BF00990147