Chernets M.V., Chernets Yu.M. Influence of wheels width cylindrical gear on contact pressures and durability.

  • М.В. Чернець
  • Ю.М. Чернець


With the use of author’s calculation method of durability of tooth gears with height engagement correction, it has been conducted the investigation of influence of wheels width and teeth slope angle on maximum contact pressures and dura-bility of cylindrical gears at changeable conditions of teeth contact in the result of their wear. It has been established that close in values the highest maximum contact pressures arise at teeth entrance into engagement and in the zone of its parity change both in spur and helical gears. In spur gears double – single – double tooth engagement would arise for the whole range of wheels width change. Instead, in helical gears with an increase of wheels width engagement parity changes from double – single – double into triple – double – triple. Respectively, these factors influence the decrease of initial maximum contact pressures level up to 1.5 times and the increase of durability of uncorrected helical gears up to 3.8 times in compari-son with spur gears. Engagement correction leads to decrease of maximum contact pressures, in the result of which gears du-rability increases. It has been established that optimum shift coefficients exist, at which gear durability would be the highest as compared with uncorrected engagement. The obtained results are given graphically, that better shows the regularities of wheels width, teeth slope angle and engagement conditions influence on the investigated tribotechnical characteristics. Key words: involute cylindrical gear, tooth height correction, teeth width, teeth slope angle, maximum contact pressures, tooth wear, gear durability.


1. Drozdov Yu.N. K razrabotke metodiki rasczeta na iznaszyvanie i modelirovanie trenija. V kn. : Iznosostojkost. M.Nauka, 1975. S. 120-135.
2. Pronikov A.S. Nadezhnost maszyn. M. Maszynostroenije, 1978. 590 s.
3. Hryb V.V. Reszenie trybotehniczeskih zadacz czislennymi metodami. M.: Nauka, 1982. 112 s.
4. Brauer J., Andersson S. Simulation of wear in gears with flank interference – a mixed FE and ana-lytical approach. Wear. 2003. № 254. P. 1216-1232.
5. Flodin A., Andersson S. Simulation of mild wear in spur gears. Wear. 1997. № 207 (1-2). P. 16-23.
6. Flodin A., Andersson S. Wear simulation of spur gears. Tribotest J. 1999. № 5 (3). P. 225-250.
7. Flodin A., Andersson S. Simulation of mild wear in helical gears. Wear. 2000. № 241 (2). P. 123-128.
8. Flodin A., Andersson S. A simplified model for wear prediction in helical gears. Wear. 2001. № 249 (3-4). P. 285-292.
9. Kahraman A., Bajpai P., Anderson N.Е. Influence of tooth profile deviations on helical gear wear. J. Mech. Des. 2005. Vol. 127, Issue 4. P. 656-663.
10. Kolivand M., Kahraman A. An ease-off based method for loaded tooth contact analysis of hypoid gears having local and global surface deviations. J. Mech. Des. 2010. Vol. 132, Issue 7.
11. Pasta A., Mariotti Virzi G. Finite element method analysis of a spur gear with a corrected profile. J. Strain Analysis. 2007. Vol.42. P. 281-292.
12. Chernec M.V., Kielbinski Ju., Jarema R.Ja. Uzahalnenyj metod ocinky znoszuvannja cylindrycznych evolventnych zubczastych peredacz. FKhMM, №1, 2011. S. 44 – 49.
13. Chernec M.V., Jarema R.Ja., Chernec Yu.M. Metod ocinky vplyvu koryhuvannja i znoszuvannja zubiv evolventnoi cylindrycznoi peredaczi na dovhovicznist ta micnist. Czast. 1. Dovhovicznist ta znoszuvannja. FKhMM, №3, 2012. S. 30 – 39.
14. Chernec M.V., Chernec Yu.M. Doslidzhennia umov zaczeplennia zubiv cylindrycznoi evolventnoi peredaczi na kontaktnu micnist, znoszuvannja i dovhovicznist. Czast. 1. Postijni umovy vzaiemodiji u nekoryhovanomu zaczeplenni. Problemy trybologii, №3, 2014. S.84 - 92.