Studies of selected tribological characteristics of spiroid gears in the aspect of molecular-mechanical theory of friction

• Autorzy: Mazurkow Aleksander , Homik Wojciech

Identyfikatory

DOI

10.20858/tp.2025.20.1.01

• Języki publikacji: EN

Abstrakty

EN

Spiroid gears are used in various machine drive systems in the automotive and aviation industries. They are characterised by their small size and ability to achieve high gear ratios while maintaining the positioning accuracy of the driven device. This type of gear can operate continuously or at intervals. During the operation at intervals, dry friction can occur between the mating surfaces of the face wheel teeth and the worm threads. The load, geometry and geometrical structure of the mating surfaces and the materials used determine the operation of a gear under dry friction conditions. Determining the parameters associated with dry friction provides an opportunity to develop and calculate gear characteristics, which translates into improved durability and reliability. The paper presents analyses of loads and the normal stress state in the meshing of the worm and face wheel. The authors used Hertz’s theory in their study of the contact between the surfaces of the worm thread and the face wheel tooth. Static friction was analysed in the aspect of the molecular-mechanical theory of friction. The results are presented in the form of diagrams and tables describing the effect of the torque on the friction coefficient, maximum Hertzian pressures and maximum tangential stresses, as well as deformations in the contact zone between the worm and the face wheel. The results indicate that the contact stress state significantly affects selected gear performance parameters, including the friction coefficient.

Słowa kluczowe

EN

worm; face wheel; tribology; meshing; friction; friction coefficient

PL

ślimak; koło czołowe; trybologia; zazębienie; tarcie; współczynnik tarcia

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Transport Problems
• Rocznik: 2025
• Tom: T. 20, z. 1
• Strony: 5--16
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Mazurkow Aleksander

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

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

autor

Homik Wojciech

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

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

Bibliografia

• 1. 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.
• 2. 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.
• 3. Zaitsev, A. Estimation of the Resource of Spiroid Transmissions by the Condition Maximum Wear and Tear. In: Guda, A. (ed.) Networked Control Systems for Connected and Automated Vehicles. Lecture Notes in Networks and Systems. Springer, Cham. 2022. Vol. 510. P. 41-49. DOI: https://doi.org/10.1007/978-3-031-11051-1_4.
• 4. Trubachev, E.S. & Kuznetsov, A.S. & Sannikov, A.M. Advanced Gear Engineering. MMS 51. Springer. 2018. P. 45-72.
• 5. Żabicki, D. Gear diagnostics - diagnostics, measurement, adjustment. Chief Maintenance Officer (CMO), January-February 2020. [In Polish: Diagnostyka przekładni zębatych - Diagnostyka, Pomiary, Regulacja. Główny Mechanik. Styczeń-Luty, 2020].
• 6. Kazkaz, G. Mathematical modelling for the design of spiroid, helical, spiral bevel and worm. Power transmissions. April 2015. Available at: http://www.powertransmissions.com.
• 7. Mazurkow, A. Analiza obciążeń przekładni spiroidalnej. Materiały Katedry Konstrukcji Maszyn. Politechnika Rzeszowska. 2021. [In Polish: Analysis of spiroid gear loads. Materials of the Mechanical Engineering Department. Rzeszów University of Technology].
• 8. Davall website. Available at: https://www.davall.co.uk/.
• 9. Spiroid website. Available at: https://www.spiroidgearing.com/application-industries.
• 10. Klingelnberg webseite. Available at: https://www.johnhart.com.au/images/latest-news/cnc- machine-tools/Klingelnberg-GEARS-inline-2020-07.pdf.
• 11. Rees, C. Maxon Precision Motors Introduces Right Angle Spiroid Gearheads. 2015. Available at: https://www.unmannedsystemstechnology.com/2015/02/maxon-precision-motors-introduces- right-angle-spiroid-gearheads/
• 12. Chodoła, Ł. & Mazurkow, A. & Surowaniec, M. & Markowski, T. & Homik, W. Measurement method of temperature of the face gear rim of a spiroid gear. Sensor. 2022. Vol. 22(22). No. 8860.
• 13. Evertz, F. & Gangireddy, M. & Mork, B. & Porter, T. & Quist, A. 2022 High torque skew axis gearing. A technical primer. Spiroid high torque skew axis gearing. 2022. Available at: https://www.spiroidgearing.com/wp-content/uploads/2019/05/Spiroid-High-Torque-Gearing- Guide.pdf.
• 14. 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.
• 15. Frąckowiak, P. Ślad zazębienia w płaskiej przekładni spiroidalnej. Archiwum Technologii Maszyn i Automatyzacji. 2009. Vol. 19. No. 4. P. 59-71. [In Polish: Mesh trace in a flat spiroid gear. Archives of Machine Technology and Automation].
• 16. Litvin, F.L. & Nava, A. & Fan, Q. & 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.
• 17. Paluch, M. Podstawy teorii sprężystości i plastyczności z przykładami. Politechnika Krakowska. Kraków 2006. [In Polish: Fundamentals of elasticity and plasticity theory with examples. Cracow University of Technology. Cracow].
• 18. Bowden, F.P. & Tabor, D. The friction and lubrication of solid. Oxford University Press. 2023. Available at: https://academic.oup.com/book/54811.
• 19. Seireg, S. Friction and Lubrication in Mechanical Design. Taylor & Frances Ltd. 2019. Available at: https://www.scribd.com/doc/62977306/Friction-and-Lubrication-in-Mechanical-Design.
• 20. Goryacheva, I.G. & Dobychin, M.N. Some results concerning the development of the molecular - mechanical theory of friction. Journal of Friction and Wear. 2008. Vol. 29. No. 4. P. 243-250. Available at: https://link.springer.com/content/pdf/10.3103/S1068366608040016.pdf.
• 21. Shiping, H. & Xiao, C. & Mingqiang, X. Study on friction behavior of fractal rough surface based on molecular dynamics - Green’s function method. Chinese Journal of Theoretical and applied Mechanics. 2023. Vol. 55. No. 7. P. 1485-1492.
• 22. Крагельский, И. & Михин, Н. Узлы трения машин. Машиностроение. Москва. 1984. [In Russian: Friction nodes of machines. Mechanical Engineering. Moscow].
• 23. ISO76:2006. Rolling bearings - Static load ratings. International Organization for Standardization.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).