Abstract. A probabilistic approach is applied to determining the accuracy of a gear using the example of tangential composite deviation. Using this approach at the design stage of the mechanism increases the accuracy of predicting the gear quality characteristics. The definition of the tangential composite deviation according to GOST 1643-81 is described, and a formula for calculating the tangential composite deviation function is derived with the account for amplitudes and initial phases of its constituent terms. For probabilistic calculation of the tangential composite deviation, the method of statistical tests – the Monte Carlo method is used. The experiment results are compared with the calculation of the tangential composite Использование стандартов при оценках кинематической погрешности зубчатых передач 561 ИЗВ. ВУЗОВ. ПРИБОРОСТРОЕНИЕ. 2020. Т. 63, № 6 deviation in accordance with GOST 1643-81 for the 5th and 7th degrees of accuracy and for transfer ratios from 1 to 8. Conclusions are drawn about inaccuracies in the notes in GOST 1643 and the possibilities of using the standard.

Keywords: standards, kinematic accuracy, gears, gears, GOST 1643-81, Monte Carlo method, tangential composite deviation

References:

1. Timofeev B.P. BMSTU Journal of Mechanical Engineering, 1985, no. 3, pp. 20–26. (in Russ.)
2. Timofeev B.P., Dundin N.I. Journal of Instrument Engineering, 1988, no. 4, pp. 42–46. (in Russ.)
3. Dundin N.I. Povysheniye tochnosti zubchatykh koles i peredach navigatsionnykh priborov (Improving the Accuracy of Gears and Gears of Navigation Devices), Candidate’s thesis, Leningrad, 1985,  323 р. (in Russ.)
4. Sobol' I.M. Metod Monte-Karlo (Monte Carlo Method), Moscow, 1978, 64 р. (in Russ.) 
5. Golenko D.I. Modelirovaniye i statisticheskiy analiz psevdosluchaynykh chisel na elektronnykh vychislitel'nykh mashinakh (Modeling and Statistical Analysis of Pseudorandom Numbers on Electronic Computers), Moscow, 1965, 228 р. (in Russ.)
6. Timofeev B.P. Vibrodiagnostika kachestva mekhanizmov priborov (Vibrodiagnostics of the Quality of Instrument Mechanisms), Interuniversity collection of scientific papers, Leningrad, 1987, is. 188,  рр. 18–21. (in Russ.)
7. Kutsokon' V.A. Raschet osnovnykh pokazateley tochnosti melkomodul'nykh tsilindricheskikh zubchatykh peredach (Calculation of Key Accuracy Indicators of Small-Module Spur Gears), Leningrad, 1970, 40 р. (in Russ.)
8. Timofeev B.P., Novikov D.V. Standards and Quality, 2013, no. 5, pp. 48–52. (in Russ.)
9. http://old.kmu.itmo.ru/collections_article/7658/statisticheskie_ocenki_pokazateley_tochnosti_peredac h.htm. (in Russ.)
10. Timofeev B.P., Abramchuk M.V. Standards and Quality, 2010, no. 5, pp. 60–63. (in Russ.)
11. Timofeev B.P., Abramchuk M.V. Journal of Instrument Engineering, 2012, no. 6(55), pp. 33–38.  (in Russ.)
12. Timofeev B.P., Abramchuk M.V. Tekhnologiya Mashinostroeniya, 2013, no. 1, pp. 64–68. (in Russ.) Data