Title of the article ASSESSMENT OF DEPTH CONTACT ENDURANCE OF SURFACE-HARDENED GEARS
Authors

RUDENKO Sergei P., Ph. D. in Eng., Assoc. Prof., Leading Researcher of the Laboratory of Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

VALKO Aleksandr L., Senior Researcher of the Laboratory of Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">valсThis email address is being protected from spambots. You need JavaScript enabled to view it.

SANDOMIRSKI Sergei G., D. Sc. in Eng., Assoc. Prof., Head of Laboratory Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

In the section DYNAMICS, DURABILITY OF VEHICLES AND STRUCTURES
Year 2025
Issue 2(71)
Pages 22–28
Type of article RAR
Index UDK 620.178.1
DOI https://doi.org/10.46864/1995-0470-2025-2-71-22-28
Abstract The main factors determining the performance of highly stressed surface-hardened gears of transmissions of energy-consuming machines are the parameters of a hardened layer, especially the behavior of hardness distribution over its thickness. The existing analytical dependences have been analyzed for hardness distribution over the thickness of the diffusion layer of surface-hardened parts, used for determining the depth contact endurance of cylindric gears. It is noted that the approximating dependence given in the works of V.I. Korotkin corresponds more accurately to the experimental data than that given in GOST 21354-87. The results of calculation of surface-hardened gears are given for deep contact endurance with regard to this dependence on the basis of determination of equivalent stresses according to the Gest–Mohr strength theory. The comparison of the obtained calculation results with the data of bench tests of gears of different sizes made of different steel grades has been carried out. It has been established that for all variants of the tested gears deep contact pitting is observed only in one zone of the hardened layer — the zone of maximum equivalent stresses. It is concluded that it is sufficient to estimate the resistance to deep contact fatigue of surface-hardened gears by the depth of occurrence of maximum equivalent stresses equal to the half-width of the contact area. It is noted that the application of V.I. Korotkin’s method developed on the basis of the generalized Lebedev–Pisarenko criterion for structurally inhomogeneous material to assess the depth contact fatigue resistance of involute gears requires further research.
Keywords gears, diffusion layers, hardness distribution, deep contact fatigue, lifetime calculation
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Bibliography
  1. Fudzita K., Yokhida A. Vliyanie glubiny tsementovannogo sloya i otnositelnogo radiusa krivizny na dolgovechnost pri kontaktnoy ustalosti tsementovannogo rolika iz khromomolibdenovoy stali [Influence of cemented layer depth and relative radius of curvature on contact fatigue durability of cemented roller made of chromium-molybdenum steel]. Trudy amerikanskogo obshchestva inzhenerov-mekhanikov, 1981, vol. 103, no. 2, pp. 115–124 (in Russ.).
  2. Balashov B.A., et al. Reduktory energeticheskikh mashin [Reducers of power machines]. Leningrad, Mashinostroenie. Leningradskoe otdelenie Publ., 1985. 232 p. (in Russ.).
  3. Tesker E.I. Sovremennye metody rascheta i povysheniya nesushchey sposobnosti poverkhnostno-uprochnennykh zubchatykh peredach transmissiy i privodov [Modern methods of calculating and increasing the load-bearing capacity of surface-hardened gears of transmissions and drives]. Moscow, Mashinostroenie Publ., 2011. 433 p. (in Russ.).
  4. Rudenko S.P., Valko A.L. Kontaktnaya ustalost zubchatykh koles transmissiy energonasyshchennykh mashin [Contact fatigue of power transmission gears of energy-consuming machines]. Minsk, Belorusskaya nauka Publ., 2014. 127 p. (in Russ.).
  5. Rudenko S.P. Issledovanie soprotivleniya kontaktnoy ustalosti poverkhnostno uprochnennykh zubchatykh koles [Investigation of contact fatigue resistance of surface-hardened toothed wheels]. Proceedings of the National Academy of Sciences of Belarus. Physical-technical series, 2009, no. 4, pp. 48–53 (in Russ.).
  6. Zinchenko V.M. Inzheneriya poverkhnosti zubchatykh koles metodami khimiko-termicheskoy obrabotki [Surface engineering of gears by chemical and thermal treatment methods]. Moscow, Moskovskiy gosudarstvennyy tekhnicheskiy universitet im. N.E. Baumana Publ., 2001. 302 p. (in Russ).
  7. Kudryavtsev V.N., Reshetov D.N., Kuzmin I.S., Filippenkov A.L. O metodakh otsenki nesushchey sposobnosti tsilindricheskikh zubchatykh peredach [Methods for assessing the bearing capacity of cylindrical gears]. Vestnik mashinostroeniya, 1989, no. 9, pp. 29–36 (in Russ.).
  8. Rudenko S.P., Sandomirski S.G., Valko A.L. Raschet zubchatykh koles transmissiy na glubinnuyu kontaktnuyu vynoslivost [Calculation of transmission gears for deep contact endurance]. Vestnik mashinostroeniya, 2024, no. 5, pp. 375–381 (in Russ.).
  9. Korotkin V.I., Onishkov N.P., Gol’tsev A.V. K otsenke glubinnoy kontaktnoy vynoslivosti evolventnykh peredach s poverkhnostno uprochnennymi zubyami [On the estimation of deep contact durability of the involute gears with face-hardened teeth]. Vestnik mashinostroeniya, 2008, no. 5, pp. 9–14 (in Russ.).
  10. Korotkin V.I., Onishkov N.P., Kharitonov Yu.D. Zubchatye peredachi Novikova. Dostizhenie i razvitie [Novikov’s gear transmissions. Achievement and development]. Moscow, Mashinostroenie Publ., 2007. 384 p. (in Russ.).
  11. Lebedev S.Yu. Analiz metodik rascheta glubinnoy kontaktnoy vynoslivosti [Analysis of methods for calculating deep contact endurance]. Omsk scientific bulletin, 2022, no. 2(182), pp. 43–47. DOI: https://doi.org/10.25206/1813-8225-2022-182-43-47 (in Russ.).
  12. Onishkov N.P., Korotkin V.I. K otsenke kontaktno-ustalostnoy dolgovechnosti khimiko-termicheski uprochnennykh zubchatykh koles [To estimation of contact-fatigue durability of thermo-chemically strengthened gears]. Advanced engineering research (Rostov-on-Don), 2017, vol. 17, no. 3, рp. 5–13. DOI: https://doi.org/10.23947/1992-5980-2017-17-3-5-13 (in Russ.).
  13. Beskopylny A., Meskhi B., Onishkov N., Kotelnitskaya L., Ananova O. Deep contact strength of surface hardened gears. Metals, 2020, vol. 10, iss. 5. DOI: https://doi.org/10.3390/met10050600.
  14. Pisarenko G.S., Lebedev A.A. Deformirovanie i prochnost materialov pri slozhnom napryazhennom sostoyanii [Deformation and strength of materials under complex stress conditions]. Kiev, Nauchnaya mysl Publ., 1976. 415 p. (in Russ.).
  15. Rudenko S.P., Sandomirski S.G. Raschetnaya model napryazhennogo sostoyaniya zony kontakta zubev poverkhnostno uprochnennykh zubchatykh koles [Calculation model of the stressed state of the tooth contact zone of surface-hardened gears]. Proceedings of the National Academy of Sciences of Belarus. Physical-technical series, 2022, vol. 67, no. 3, pp. 277–284. DOI: https://doi.org/10.29235/1561-8358-2022-67-3-277-284 (in Russ.).