ISSN 0021-3454 (print version)
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vol 67 / February, 2024
Article

DOI 10.17586/0021-3454-2019-62-12-1092-1097

UDC 621.833.15

DETERMINATION OF ACCURACY PARAMETERS OF MULTI-STAGED GEAR MECHANISMS

B. P. Timofeev
ITMO University, Department of Mechatronics; Professor


M. V. Abramchuk
ITMO University, Department of Mechatronics; senior lecturer


I. A. Bzhikhatlov
ITMO University, Faculty of Control Systems and Robotics;


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Abstract. Methods of calculating the kinematic accuracy parameters, or the tangential composite deviation of multi-staged gear mechanisms are considered. This error is considered as a function containing a set of components of certain frequencies and amplitudes. The installation error, which usually is not taken into account in the calculation of the tangential composite deviation, is also considered. Final calcula-tions are reduced to the output gear wheel of the studied multi-staged mechanism. To calculate the kin-ematic error, the maximum-minimum method is used, as well as the Monte Carlo probabilistic calcula-tion method. A method of calculating the kinematic error, which accounts for features of the gear mech-anisms production, is proposed. In the conditions of a specified production, if the spread of the values of the error components is known, the probabilistic calculation of the kinematic error is stated to give more accurate results as compared with the maximum-minimum method.
Keywords: standards, kinematic accuracy, gears, maximum-minimum method, gear wheel, GOST 1643-81, ISO 1328, Monte Carlo method, tangential composite deviation

References:
  1. ISO 1328–1:2013, Cylindrical gears – ISO system of flank tolerance classification, Part 1: Definitions and allowable values of deviations relevant to flanks of gear teeth.
  2. ISO 1328-2:1997, Cylindrical gears – ISO system of accuracy, Part 2: Definitions and allowable val-ues of deviations relevant to radial composite deviations and runout information.
  3. Timofeev B.P., Abramchuk M.V. Fundamental'nyye i prikladnyye problemy nadezhnosti i diagnostiki mashin i mekhanizmov (Fundamental and Applied Problems of Reliability and Diagnostics of Ma-chines and Mechanisms), 7th session of the International Scientific School, Program and Abstracts, 2005, рр. 90. (in Russ.)
  4. Timofeev B.P., Abramchuk M.V. Standards and Quality, 2010, no. 5, pp. 60–63.
  5. Timofeev B.P., Novikov D. V. Pribory, 2013, no. 9, pp. 37–40. (in Russ.)
  6. Abramchuk M.V. Journal of Instrument Engineering, 2018, no. 2(61), pp. 118–122. (in Russ.) DOI: 10.17586/0021-3454-2018-61-2-118-122.
  7. Abramchuk M.V. Journal of Instrument Engineering, 2016, no. 8(59), pp. 619–624. DOI: 10.17586/0021-3454-2016-59-8-619-624.
  8. Abramchuk M.V. Sovershenstvovaniye raschetov parametrov tochnosti zubchatykh koles, zubchat-ykh peredach i mnogozvennykh zubchatykh mekhanizmov (Improving the Calculation of Accuracy Parameters of Gears, Gears and Multi-Link Gears), Candidate’s thesis, St. Petersburg, 2014, 158 р. (in Russ.)
  9. Sobol' I.M. Metod Monte-Karlo (Monte Carlo Method), Moscow, 1978, 64 р. (in Russ.)
  10. Golenko D.I. Modelirovaniye i statisticheskiy analiz psevdosluchaynykh chisel na elektronnykh vychislitel'nykh mashinakh (Modeling and Statistical Analysis of Pseudorandom Numbers on Elec-tronic Computers), Moscow, 1965, 228 р. (in Russ.)
  11. Timofeev B.P., Dundin N.I. Journal of Instrument Engineering, 1988, no. 4, pp. 42–46. (in Russ.)
  12. 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.)