Analysis of changes in geometry and kinematics of the gear gears in conditions of abrasive wear
https://doi.org/10.20914/2310-1202-2025-2-
Abstract
Studies of the reliability of modern agricultural, food and mining machines and mechanisms show that up to 40% of failures occur in transmission units, the performance of which is largely regulated by gears, which are operated in conditions of high air dust and insufficient tightness of internal cavities. As a result of wear on the teeth of the wheels, vibrations appear, and dynamic loads in the drives increase. All this is largely due to the change in gear gearing kinematics during wear. The purpose of this work is to study changes in the geometry and kinematics of gears under conditions of abrasive wear. The objects of research were the evaluation of the distribution of contact stresses and loads, which is a key point in the development of wear-resistant and reliable gears. Additional factors were determined: the influence of operational loads, changes in the shape of teeth during operation and their impact on the accuracy of motion transmission. As a result of the research, analytical dependencies have been developed that make it possible to calculate the geometric, kinematic and qualitative characteristics of the transmission and predict the wear rate of gears and wheels, estimate the magnitude of contact stresses and the coefficient of specific slip along the engagement line of a pair of teeth at various stages of wear. During the wear process, the engagement line bends, and its beginning and end shift in the direction of rotation of the gears. The overlap coefficient gradually decreases, but with a degree of wear above 18-20% it stabilizes in the range of 1.03–1.1. During the abrasive wear of heavily loaded gears, not only the shape of the tooth profiles changes, but also the law of relative movement of the wheels changes.
Keywords
УДК: 4.3.1. Технологии, машины и оборудование для агропромышленного комплекса (технические науки
About the Authors
A. M. PopovRussian Federation
Dr. Sci. (Engin.), professor, mechatronics and automation of technological systems department, Krasnaya Str. 6, Kemerovo, 650000, Russia
A. L. Maytakov
Dr. Sci. (Engin.), professor, quality management department, Krasnaya Str. 6, Kemerovo, 650000, Russia
R. V. Mehdiyev
graduate student, mechatronics and automation of technological systems department, Krasnaya Str. 6, Kemerovo, 650000, Russia
N. T. Vetrova
Cand. Sci. (Engin.), docent, quality management department, Krasnaya Str. 6, Kemerovo, 650000, Russia
References
1. Prokhorov V.P., Timofeev G.A., Chernyshova I.N. Evolution of involute engagement during abrasion. News of higher educational institutions. Mechanical engineering. 2015. no. 2. pp. 14–21. (in Russian)
2. Hakobyan M.G. A model of gear wear that takes into account the evolutionary nature of the interaction process. News of higher educational institutions. The Volga region. Technical sciences. 2017. no. 3(43). pp. 106–120. doi:10.21685/2072-3059-2017-3-9 (in Russian)
3. Shevchuk V.P., Shekhovtsov V.V., Klementyev E.V. Investigation of dynamic transmission characteristics of an agricultural tractor of the sixth traction class. Modern science-intensive technologies. 2013. no. 2. pp. 44–49. (in Russian)
4. Usov P.P. Numerical analysis of transient processes in viscoelastic-hydrodynamic contact in reverse motion. Problems of mechanical engineering and automation. 2021. no. 2. pp. 81–90. (in Russian)
5. Gusev I.V., Simonova E.V. Analysis of geometry and kinematics of gears taking into account wear. Moscow: Mashinostroenie, 2005. (in Russian)
6. Kamenev M.I., Shirinsky Yu.V. Study of gear parameters under conditions of changes in their geometry and kinematics. Moscow: Scientific and technical literature, 2002. (in Russian)
7. Avsievich A.M., Nikolaev V.A., Adamenko D.V. On wear prediction in higher kinematic pairs. Theoretical and applied mechanics. International scientific and technical collection. 2009. Issue. 24. pp. 236–238. (in Russian)
8. Bagmutov V.P., Savkin A.N., Parshev S.N. Wear of parts of friction units of land vehicles. VolgSTU, 2011. 56 p. (in Russian)
9. Malikov A.A., Likhosherst V.V., Shalobaev E.V. Analysis and classification of the wear process of gears. Handbook. Engineering magazine. 2011. no. 9. pp. 2–11. (in Russian)
10. Daubach K., Oehler M., Sauer B. Wear simulation of worm gears based on an energetic approach. J. Forsch Ingenieurwes. 2022. no. 86. pp. 367–377. doi:10.1007/s10010-021-00525-3
11. Zakharenkov N.V., Konovalov V.E., Kvasov I.N. et al. Increasing operation capacity for spherical bearing of indexing spatial mechanism under load. Journal of Physics: Conference Series. 2019. vol. 1260. no. 11. Art. 112037. doi:10.1088/1742-6596/1260/11/112037
12. Lin W.Y., Tsai Y.H., Hsiao K.M. Optimum variable input speed for kinematic performance of Geneva mechanisms using teaching-learning-based optimization algorithm. Proceedings of the Institution of Mechanical Engineers (Part C): Journal of Mechanical Engineering Science. 2017. vol. 231. no. 10. pp. 1871–1883. doi:10.1177/0954406215627825
13. Prabhu Sekar R., Sathishkumar R. Enhancement of wear resistance on normal contact ratio spur gear pairs through non-standard gears. Wear. 2017. vol. 380-381. pp. 228–239. doi:10.1016/j.wear.2017.03.022
14. Breki A.D., Chulkin S.G., Gvozdev A.E. et al. Empirical mathematical model for the wear kinetics of porous gas-thermal coatings. Russian metallurgy (Metally). 2021. vol. 2021. no. 4. pp. 496–500. doi:10.1134/S0036029521040046
15. Rohrmoser A., Bode C., Schleich B. et al. Influence of metal gear tooth geometry on load and wear within metal-polymer gear pairs. Applied Sciences. 2022. no. 1. pp. 128–144. doi:10.3390/app12010270
16. Radzevich S.P. Theory of gearing: kinematics, geometry, and synthesis. Boca Raton: CRC Press, 2018. URL: https://lccn.loc.gov/201800342
17. Alharbi K.A. Wear and mechanical contact behavior of polymer gears. Journal of Tribology. 2019. vol. 141. no. 1. Art. 011101. doi:10.1115/1.4040645
18. Rohrmoser A., Hagenah H., Merklein M. Adapted tool design for the cold forging of gears from non-ferrous and light metals. International Journal of Advanced Manufacturing Technology. 2021. vol. 113. pp. 1833–1848. doi:10.1007/s00170-021-06729-9
19. Fan X., Wang P., Li Y. Gear wear prediction based on the theorem of degradation entropy generation. Tribology International. 2024. vol. 191. Art. 109175. doi:10.1016/j.triboint.2023.109175
20. Yan Y., Jiang C., Li W. Simulation on coupling effects between surface wear and fatigue in spur gear. Engineering Failure Analysis. 2022. vol. 134. Art. 106055. doi:10.1016/j.engfailanal.2022.106055
21. Lin J., Fan X., Wang P., Li Y., Shi Z., Olofsson U. Gear wear prediction based on the theorem of degradation entropy generation. Tribology International. 2024. vol. 191. Art. 109175. doi:10.1016/j.triboint.2023.109175
22. Ishmuratov Kh., Hamroev R.K., Kurbonov B.B., Mirzaev N.N. Method for modeling the process of wear of gear teeth. Journal of Physics: Conference Series. 2022. vol. 2176. Art. 012096. doi:10.1088/1742-6596/2176/1/012096
Review
For citations:
Popov A.M., Maytakov A.L., Mehdiyev R.V., Vetrova N.T. Analysis of changes in geometry and kinematics of the gear gears in conditions of abrasive wear. Proceedings of the Voronezh State University of Engineering Technologies. 2025;87(2):38-45. (In Russ.) https://doi.org/10.20914/2310-1202-2025-2-