Operation of a spiroid gear under elastohydrodynamic lubrication conditions

• Autorzy: Mazurkow Aleksander , Homik Wojciech

Identyfikatory

DOI

10.20858/tp.2023.19.3.12

• Języki publikacji: EN

Abstrakty

EN

Spiroid gears are used in the drive systems of various types of vehicles and devices. They are characterised by small overall dimensions and significant rotational speed reduction while maintaining the high positioning accuracy of the driven device. Spiroid gears require a lot of lubrication with oils, which separate the mating parts. In the case of spiroid gears, they separate the face wheel teeth and the worm thread. The resulting oil film reduces the coefficient of friction and lowers the temperature of the mating surfaces. The modelling of toothed rim lubrication is a complex problem. To separate the surface of the face wheel mating and the worm, one needs to consider the phenomena of fluid mechanics, heat transfer and tooth deformation. The formation of an elastohydrodynamic oil film of an appropriate height is determined by the type of oil, the mechanical properties of the worm and face wheel materials, relative speed, load and the geometry of the mating surfaces. The issues described in this paper significantly affect the correct operation of gears and have not yet been fully understood for spiroid gears. This paper presents the results of a study on the properties of the elastohydrodynamic oil film and describes its characteristics, with the unknown quantity being the rotational speed of the input shaft that ensures that the oil film separates the mating toothed rims. The calculation results were compared with those of other researchers. The obtained design recommendations can help designers improve the durability and reliability of spiroid gears.

Słowa kluczowe

EN

spiroid gear; worm; face wheel; gear lubrication; oil film

PL

przekładnia spiralna; ślimak; koło czołowe; smarowanie przekładni; warstwa oleju

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Transport Problems
• Rocznik: 2024
• Tom: T. 19, z. 3
• Strony: 141--153
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Mazurkow Aleksander

• Rzeszów University of Technology; Powstańców Warszawy 12, 35-959 Rzeszów, Poland

• https://orcid.org/0000-0003-1719-991X

autor

Homik Wojciech

• Rzeszów University of Technology; Powstańców Warszawy 12, 35-959 Rzeszów, Poland

• https://orcid.org/0000-0001-7843-7761

Bibliografia

• 1. Żabicki, M. Diagnostyka przekładni zębatych - Diagnostyka, Pomiary, Regulacja. Główny Mechanik. January-February, 2020. [In Polish: Gearbox Diagnostics - Diagnostics, Measurements, Adjustments. Chief Mechanic].
• 2. Lawrowski, Z. Tribologia, tarcie, zużycie, i smarowanie. PWN Scientific Publishing House. Warsaw, 1993. [In Polish: Tribology, Friction, Wear, and Lubrication].
• 3. Hebda, M. & Wachal, A. Trybologia. WNT. Warsaw, 1980. [In Polish: Tribology].
• 4. Chodoła, Ł. & Mazurkow, A. & Surowaniec, M. & Markowski, T. & Homik, W. Measurement method of temperature of the face gear rim of a spiroid gear. Sensor an Open Access Journal by MPDI. 2022. Vol. 22. No. 22.
• 5. Davall. Available at: https://www.davall.co.uk/.
• 6. Spiroid. Available at: https://www.spiroidgearing.com/application-industries.
• 7. Trubachev, E. Spiroid gears as an alternative to bevel and hypoid gears. In: Proceedings of the 9th International Conference on Industrial Engineering (ICIE 2023). 2023. P. 71-82.
• 8. Litvin, F.L. & Nava, A. & Qi Fan, Fuentes A. New geometry of worm face gear drives with conical and cylindrical worms: generation, simulation of meshing, and stress analysis. NASA/CR-2002-211895 ARL-CR-0511 U.S. Army Research Laboratory. University of Illinois at Chicago. Chicago, Illinois. November, 2002.
• 9. Trubachev, E.S. & Kuznetsov, A.S. & Sannikov, A.M. Advanced Gear Engineering. MMS 51. Springer. P. 45-72. 2018.
• 10. Goldfarb, V.I. What we know about spiroid gearing. In: Proceedings of the International Conference on Mechanical Transmissions. 2006. Vol. 1. P. 19-26.
• 11. Abadjiev, V. & Abadjieva, E. On approach to the synthesis, design and manufacture of hyperboloid gear sets with face mating gears. Part 1: Basic theoretical and CAD experience. Journal of Theoretical and Applied Mechanics. 2016. Vol. 46. No. 2. P. 3-26.
• 12. Goldfarb, V. & Trubachev, E. & Barmina, N. Innovations in design and production of spiroid gears in the XXI century. In: MATEC Web of Conferences. Power Transmissions. 2019. Vol. 287. No. 01002.
• 13. Frąckowiak, P. Ślad zazębienia w płaskiej przekładni spiroidalnej. Archiwum Technologii Maszyn i Automatyzacji. 2009. Vol. 19. No. 4. P. 59-71. [In Polish: Mesh pattern in a flat spiroid gear].
• 14. Total. Available at: https://totalenergies.pl.
• 15. Belicke, R. & Bobach, L. & Bader, N. & Poll, G. & Brouwer, L. & Schwarze, H. Tribologische Fluid Modelle Zur Simulation der Reibung in geschmiertenkonzebtrierten Kontakte. In Tribologie – Fachtagung, Geseltschaftfuer Tribologiee. V. Getynga. 2015. [In German: Tribological fluid models for simulating friction in lubricated concentrated contacts. In: Tribology – specialist conference, Society for Tribology].
• 16. Spałek, J. & Kwaśny, M. Diagnostyczna weryfikacja wpływu lepkości oleju smarującego na pracę przekładni zębatej. Szybkobieżne Pojazdy Gąsienicowe. 2012. Vol. 29. No. 1. [In Polish: Diagnostic verification of the influence of lubricating oil viscosity on the operation of the gear train. Highspeed Tracked Vehicles].
• 17. Rodermund, H. Extrapolierende Berechnung des Viskositaetsverlaufsunterhohen Drucken. Schmiertechnik + Tribologie. 1981. Vol. 27. No. 4. P. 3-5. [In German: Extrapolating calculation of the viscosity curve under high pressure. Lubrication technology + tribology].
• 18. Kuss, E. Die Bedeutung der Viskositaetrs – druck- abhaendigkeit in der klassichen und der elastohydrodynamuschen Theorie der Schmierung. [In German: The importance of viscositypressure dependence in the classical and elastohydrodynamic theory of lubrication]. Mineraloeltechnik. 1973. Vol. 18. P. 1-48.
• 19. Baru, C. Isothermals, isopiestics and isometric relative to viscosity. American Journal of Science. 1893. Vol. 45. P. 87-96.
• 20. Buković, A. & Gajecić, S. & Skulić, A. & Savić, S. & Ašonja, A. & Stojanović, B. Tribological application of nanocomposite additives in industrial oils. Lubricants. 2024. Vol. 12. No. 6. DOI: 10.3390/lubricants12010006.
• 21. Skulić, A. & Milojević, S. & Marić, D. & Ivanović, L. & Krstić, B. & Radojković, M. & Stojanović, B. The impact of lubricant viscosity and materials on power losses and efficiency of worm gearbox. Tehnički vjesnik. 2022. Vol. 29(6). P. 1853-1860. DOI: 10.17559/TV-20220207092015.
• 22. Krzemiński-Freda, H. Rozkład ciśnienia i kształt filmu olejowego przy współpracy elementów tocznych smarowanych elastohydrodynamicznie. Rozprawa doktorska. Łódź. 1969. [In Polish: Pressure distribution and oil film shape during the cooperation of elastohydrodynamically lubricated rolling elements. Doctoral dissertation].
• 23. Schouten, M.J.W. Theoretische und experimentelle Untersuchungen Zur Erweiterung der EHD –Theorie auf praxisnahe und instationaere Bedigungen. Frankfurt. FKM – Heft. Maschnenbau Verlag. 1978. No. 72. [In German: Theoretical and experimental investigations to extend the EHD theory to practical and unsteady conditions].
• 24. Paluch, M. Teoria sprężystości. Krakow University of Technology Publishing House 2006. Krakow. [In Polish: Theory of Elasticity].
• 25. Haddad, N. Viskositaets – und Reibungsmessungen im EHD – Linienkontakt. Diss. TU Hannover. 1985. [In German: Viscosity and friction measurements in EHD line contact].
• 26. Rodermund, H. Beitrag Zur Elastohydrodynamischen Schmierung Von Evolventenzahnrederm. Diss. TU Clausthal. 1975. [In German: Contribution to elastohydrodynamic lubrication of involute toothed gears].
• 27. Evertz, F. & Gangireddy, M. & Mork, B. & Porter, T. & Quist, A. High Torque Skew Axis Gearing – Technical Primer. Spiroid High Torque Gearing. 2021. P. 1-19. Available at: https://www.spiroidgearing.com/wp-content/uploads/2019/05/Spiroid-Technical-Paper_Final.pdf
• 28. Dowson, D. & Higginson, G.R. A numerical solution to the elasto-hydrodynamic problem. J. Mech. Engng. Sci. 1959. Vol. 1. P. 6-15.
• 29. Ivanović, L. & Josifović, D. & Ilić, A. & Stojanović, B. Tribological aspect of the kinematical analysis at trochoidal gearing in contact. Journal of the Balkan Tribological Association. 2011. Vol. 17. No. 1. P. 37-47.
• 30. Tomović, R. & Ivanović, L. & Mačkić, T. & Stojanović, B. & Glišović, J. Prediction of oil film thickness in trochoidal pump. Transactions of the Canadian Society for Mechanical Engineering.
• 2021. Vol. 45. No. 3. P. 374-385. DOI: 10.1139/tcsme-2020-0105.
• 31. Mazurkow, A. Analiza obciążeń przekładni spiroidalnej. [In Polish: Analysis of Spiroid Gear Loads]. Materials of the Department of Machine Design. Rzeszow University of Technology. 2021.
• 32. PN-ISO 3448:2009. Klasyfikacja lepkościowa olejów. Warsaw: Polish Committee for Standardization. [In Polish: Viscosity classification of oils].
• 33. Dziama, A. & Michniewicz, M. & Niedźwiedzki, A. Przekładnie zębate. Scientific Publishing House PWN. 1995. [In Polish: Gears].
• 34. Mueller, L. Przekładnie zębate. Projektowanie. Scientific Technical Publishing House. 1995. [In Polish: Gears. Design].