Experimental study of the effect of design parameters of a rolling tool on the quality of the tooth surface
| Authors: Vitrenko O.S., Sharkov O.V. | Published: 28.10.2026 |
| Published in issue: #11(800)/2026 | |
| Category: Mechanical Engineering and Machine Science | Chapter: Technology and Equipment for Mechanical and Physico-Technical Processing | |
| Keywords: hyperboloid knurling, tooth forming, experiment planning, surface layer, roughness |
Roughness determines the quality of the surface layer of the working surfaces of the teeth and is an important parameter affecting such operational characteristics of gears as wear resistance, load-bearing capacity, rigidity, heat resistance, etc. In this regard, it is necessary to have the ability to assess the magnitude of roughness at the stage of selecting a forming tool for making teeth. The paper presents the results of an experimental study of the effect of the design parameters of a rolling tool with a hyperboloid generating surface on the roughness of the working surfaces of involute teeth. The experiment was planned using a second-order compositional uniform-rotatable plan. The roughness of the working surface of the teeth produced by knurling was taken as the studied parameter, and the independent parameters were the number, angle of inclination, and pitch diameter of the turns in the smallest section of the hyperboloid knurling tool. An empirical model has been obtained for estimating the obtained roughness value of involute tooth profiles depending on the design parameters of hyperboloid knurling tools. It has been established that, depending on the choice and combination of design parameters of hyperbolic knurling tools, the resulting roughness of tooth profiles is complex and nonlinear. The use of hyperboloid knurling tools allows for the roughness of their involute teeth profile to be achieved in accordance with accuracy class 5..7.
EDN: OXXSXV, https://elibrary/oxxsxv
References
[1] Kalashnikov A.S., Morgunov Yu.A., Kalashnikov P.A. Sovremennye metody obrabotki zubchatykh koles [Modern methods of processing gears]. Moscow, Spektr Publ., 2012. 239 p. (In Russ.).
[2] Radzevich S.P. Gear cutting tools. CRC Press, 2010. 786 p.
[3] Kondrashov A.G., Safarov D.T., Faskhutdinov A.I. Characteristics of the accuracy and roughness of the surfaces of the teeth of the gear rings when forming with standardized disk cutters on CNC machines. Izvestiya TulGU. Tekhnicheskie nauki [News of the Tula State University. Technical Sciences], 2023, no. 11, pp. 642–647. (In Russ.).
[4] Kane M.M., Sheleg V.K., Kravchuk M.A. et al. Analysis of interrelations of some parameters of quality of teeth surfaces of spur gears with gear milling modes. Aktualnye voprosy mashinovedeniya [Topical Issues of Mechanical Engineering], 2019, vol. 8, pp. 251–255. (In Russ.).
[5] Soldatov A.G. Study of roughness in grinding gear wheel process. Vestnik RGUPS, 2023, no. 1, pp. 44–48. (In Russ.).
[6] Peshekhonov K.Yu., Tarapanov A.S. Prediction of roughness in the forming of the teeth spiroid gears. Fundamentalnye i prikladnye problemy tekhniki i tekhnologii [Fundamental and Applied Problems of Engineering and Technology], 2018, no. 3, pp. 82–87. (In Russ.).
[7] Ding H., Rong S., Zhang X. et al. Roughness tooth surface loaded contact pressure forecasting model for face-hobbed hypoid gears. Adv. Eng. Inform., 2024, vol. 60, art. 102399, doi: https://doi.org/10.1016/j.aei.2024.102399
[8] Agapov S.I., Fedyanova N.A., Serov A.S. et al. Calculation of surface roughness of involute sides of teeth. Izvestiya VolgGTU [Izvestia Volgograd State Technical University], 2012, no. 13, pp. 6–8. (In Russ.).
[9] Ruban A.R., Mamontov V.A. Influence of a rough transitive surface of teeth onto durability of cemented gear-wheels. Vestnik Astrakhanskogo gosudarstvennogo tekhnicheskogo universiteta [Vestnik of Astrakhan State Technical University], 2005, no. 2, pp. 52–54. (In Russ.).
[10] Grishina E.A., Deunezheva M.A. Metrological and technological support of process of studying the quality of lateral surface of the teeth of large-modular wheels during finishing processing PPD. Aktualnye problemy aviatsii i kosmonavtiki, 2017, vol. 2, no. 13, pp. 779–781. (In Russ.).
[11] Irgashev A., Shaabidov Sh.A., Irgashev B.A. et al. Roughness of meshing gear teeth. IOP Conf. Ser.: Earth Environ. Sci., 2022, vol. 1112, art. 012003, doi: https://doi.org/10.1088/1755-1315/1112/1/012003
[12] Liu H., Liu H., Zhu C. et al. Tribological behavior of coated spur gear pairs with tooth surface roughness. Friction, 2019, vol. 7, no. 2, pp. 117–128, doi: https://doi.org/10.1007/s40544-017-0193-3
[13] Lyndin V.A. Instrument dlya nakatyvaniya zubyev i shlitsov povyshennoy tochnosti [High-precision tooth and spline rolling tool]. Moscow, Mashinostroenie Publ., 1988. 144 p. (In Russ.).
[14] Vinogradov V.M. Features of efficient equipments for cogs calibration of middle module spur gears. Uprochnyayushchie tekhnologii i pokrytiya [Strengthening Technologies and Coatings], 2009, no. 12, pp. 50–54. (In Russ.).
[15] Vostrov V.N., Kuznetsov P.A., Novikov A.V. et al. Internal rolling the involute teeth on powder sintered body. Metalloobrabotka [Metalworking], 2016, no. 3, pp. 26–32. (In Russ.).
[16] Buyanov A.S., Cherepakhin A.A. Features of a cold fair calibration of tooth gears of automobile transmissions. Avtomobilnaya promyshlennost, 2011, no. 8, pp. 32–33. (In Russ.).
[17] Mikhaylov A., Grubka R., Lahin A. et al. Structural and technology support quality improvement of gear coupling. Appl. Mech. Mater., 2013, vol. 371, pp. 3–7. doi: https://doi.org/10.4028/www.scientific.net/AMM.371.3
[18] Cherepakhin A.A., Lyalyakin V.P. Features of the choice of knurl material for cold calibration of cylindrical mid-module gear wheels. Russ. Engin. Res., 2024, vol. 44, no. 1, pp. 74–77. doi: https://doi.org/10.3103/S1068798X24010106
[19] Vitrenko V.A., Stoyanov A.A., Titova L.N. et al. Instruments and peculiarities of rolling stock traction gear wheels teeth knurling. Vestnik Luganskogo gosudarstvennogo universiteta imeni Vladimira Dalya [Vestnik Lugansk Vladimir Dahl State University], 2023, no. 12, pp. 117– 121. (In Russ.).
[20] Vitrenko O.S. Methodology for selecting geometry of a knurling instrument depending on geometric-kinematic parameters of knurling. Izvestiya KGTU [KSTU News], 2018, no. 49, pp. 241–248. (In Russ.).
[21] Kuzmenko N.N., Mikhaylova A.D. Some geometric-kinematic parameters of the process of cylindrical gear teeth rolling with the help of multiturn hyperboloidal knurlers multi-turn hyperboloid knurlers. Vestnik Luganskogo gosudarstvennogo universiteta imeni Vladimira Dalya [Vestnik Lugansk Vladimir Dahl State University], 2023, no. 9, pp. 156–158. (In Russ.).
[22] Spiridonov A.A. Planirovanie eksperimenta pri issledovanii tekhnologicheskikh protsessov [Planning an experiment in the study of technological processes]. Moscow, Mashinostroenie Publ., 1981. 184 p. (In Russ.).
[23] Silvio S., Yusubov N.D., Amirli S.F. et al. Research of the surface roughness parameter of chromium-nickel steel after hydroabrasive machining using a full factorial experiment. Vestnik mashinostroeniya, 2025, vol. 104, no. 1, pp. 60–64, doi: https://doi.org/10.36652/0042-4633-2025-104-1-60-64 (in Russ.).
[24] Sedinin I.N., Makarov V.F., Shlyk P.I. et al. Study on surface roughness in a full factorial experiment of hard face milling. Aerokosmicheskaya tekhnika, vysokie tekhnologii i innovatsii, 2019, vol. 2, pp. 179–182. (In Russ.).
[25] Moayyedian M., Mohajer A., Kazemian M.G. et al. Surface roughness analysis in milling machining using design of experiment. SN Appl. Sci., 2020, vol. 2, no. 10, art. 1698, doi: https://doi.org/10.1007/s42452-020-03485-5
[26] Stepnov M.N., Shavrin A.V. Statisticheskie metody obrabotki rezultatov mekhanicheskikh ispytaniy [Statistical methods for processing the results of mechanical tests]. Moscow, Mashinostroenie Publ., 2005. 399 p. (In Russ.).