ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)

vol 63 / July, 2020

DOI 10.17586/0021-3454-2019-62-10-941-946

UDC 621.833


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

N. T. Dang
ITMO University, Faculty of Control Systems and Robotics;

Abstract. Assembling of small-gear cylindrical gears is considered from the point of view of the require-ment to minimize the kinematic error in accordance with State Standards 9178-81 and 1643-81. A meth-od is proposed for calculating and minimizing the kinematic error of gears consisting of wheels with po-sition errors equal to the maximum permissible values specified by the GOST. Estimates of the kinemat-ic error are presented, recommendations for choosing the relative position of the gears in the process of gear assembly are formulated. The cases of assembly with multiple and non-multiple gear ratios are considered separately.
Keywords: kinematic error, GOST 9178-81, GOST 1643-81, exhibition effect, minimization, initial phases of harmonic components, degree of accuracy

  1. Timofeyev B.P. Pribory, 2013, no. 9(159), pp. 37–40. (in Russ.)
  2. Abramchuk M.V. Tekhnologiya Mashinostroeniya, 2013, no. 1, pp. 64–68. (in Russ.)
  3. Timofeyev B.P., Abramchuk M.V. Standards and Quality, 2010, no. 5, pp. 60–63. (in Russ.)
  4. Li X., Yang Y., Zou Z. International Journal of Advanced Manufacturing Technology, 2019, no. 1-4(100), pp. 179–188.
  5. Luo M., Zhong S. Applied Sciences (Switzerland), 2018, no. 8(12), pp. 3–6.
  6. Zhang Y., Wang G., Shi W. Journal of Materials Engineering and Performance, 2018, no. 8(27), pp. 3803–3811.
  7. Timofeev B., Sachkov M. Mechanisms and Machine Science, 2018, no. 51, pp. 419–434.
  8. Wang B., Du Y., Xu N. Measurement: Journal of the International Measurement Confederation, 2019, no. 138, pp. 570–577.
  9. Huang X., Yuan Y., Ouyang T. Journal of Southeast University (Natural Science Edition), 2018, no. 4(48), pp. 605–612.
  10. Timofeev B.Р., Sachkov M.Yu. Peredatochnyye mekhanizmy privodov (Drive Gears), St. Petersburg, 2015, 103 р. (in Russ.)
  11. Timofeyev B.P., Novikov D.V. Vestnik mashinostroyeniya, 2013, no. 5, pp. 85–87. (in Russ.)
  12. Boral P., Stoić A., Kljajin M. PLoS ONE, 2018, no. 3(25), pp. 798–802.
  13. Zhou Y., Chen Z.C., Tang J. CAD Computer Aided Design, 2017, no. 84, pp. 15–24.
  14. Wang X., Shi Z. Scientia Sinica Technologica, 2017, no. 1(47), pp. 46–59.