Thermal stability of lubricants in cycloidal reducers

Main Article Content

Milan Vasić
Mirko Blagojević
Mircea V. Dragoi

Abstract

There is intensive rolling and sliding between the meshing elements of a cycloidal reducer, whereby a significant amount of mechanical energy is converted into heat and absorbed by the lubricant. In order to stabilize the temperature of the lubricant, it is necessary to achieve thermal equilibrium, i.e. the amount of heat dissipated should equal the amount of heat generated. A complex task of determining the equilibrium temperature of a lubricant generally involves theoretical analysis, numerical calculation, computational simulations and experimental testing. The aim of this paper is to develop a model to predict the amount of heat dissipated from the outer surface of the housing as well as the equilibrium temperature of the lubricant. The model is based on the basic laws of thermodynamics, while the computational simulation is performed for an actual cycloidal reducer in the Matlab software package. The simulation results show changes in the equilibrium temperature in relation to: the coefficient of heat transfer from the lubricant to the inner wall of the housing, ambient air velocity, wall thickness and housing material.

Article Details

How to Cite
[1]
M. Vasić, M. Blagojević, and M. V. Dragoi, “Thermal stability of lubricants in cycloidal reducers ”, ET, vol. 1, no. 2, pp. 7–17, Jul. 2022.
Section
Original Scientific Papers

References

M. Zah, D. Lates, V. Csibi, “Thermal Calculation for Planetary Cycloidal Gears with Bolts”, Elec. and Mech. Eng., Vol. 4, pp. 103-110, (2013)

V. N. Kudryavcev, “Planetarnye peredachi” (in Russian), Masinostroenie, Moskva (Russia), (1966)

S. K. Malhotra , M. A. Parameswaran, “Analysis of a cycloid speed reducer”, Mech. and Mach. Theo., Vol. 18 (6), pp. 491-499, https://doi.org/10.1016/0094-114X(83)90066-6, (1983)

S. Bednarczyk, “Determining Power Losses in the Cycloidal Gear Transmission Featuring Manufacturing Devia-tions”, Proceedings of the 14th International Scientific Conference “Computer Aided Engineering”, Wroclaw (Po-land), June, pp. 55-63, https://doi.org/10.1007/978-3-030-04975-1_7, (2018)

F. Concli , L. Maccioni , C. Gorla, “Power loss analysis of different high-power density gearbox typologies: CFD analysis and experimental measurements on a cycloidal gear set”, 8th International Conference on Gear Produc-tion, Munich (Germany), 18th to 20th September, pp. 101-114, https://hdl.handle.net/10863/14094, (2019)

M. Vasić, M. Matejić, M. Blagojević, “A comparative calculation of cycloid drive efficiency”, 5th international scien-tific conference "Conference on Mechanical Engineering Technologies and Application - COMETa", East Sarajevo (SR BiH), 26-28 November 2020, pp. 259-266, (2020)

A. Mihailidis, E. Athanasopoulos, E. Okkas, “Flash temperature in cycloid reducers”, Jou. of the Bal. Trib. Assoc., Vol. 21 (1), pp. 76-89, (2015)

A. Mihailidis, K. Agouridas, K. Panagiotidis, “Non-Newtonian Starved Thermal-Elastohydrodynamic Lubrication of Finite Line Contacts”, Trib. Tran., Vol. 56, pp. 88-100, http://dx.doi.org/10.1080/10402004.2012.729298, (2013)

W. Li , Y. Hu, “Thermal analysis of cycloidal gear for the RV reducer”, Jou. of Har. Eng. Univ., Vol. 38 (10), pp. 1560-1567, http://dx.doi.org/10.11990/jheu.201605085, (2017)

K. Olejarczyk, M. Wiklo, K. Król, K. Kolodziejczyk, R. Nowak, “Experimental impact studies of the application mineral oil and synthetic oil on the efficiency of the single-gear cycloidal”, Tribologia, Vol. 1 (1), pp. 067-073, http://dx.doi.org/10.5604/01.3001.0010.6365, (2017)

C. Paschold, M. Sedlmair, T. Lohner, K. Stahl, “Efficiency and heat balance calculation of worm gears”, Forsc. im Ingen., Vol. 84 (3), pp. 115–125, https://doi.org/10.1007/s10010-019-00390-1, (2020)

J. Hermes, “Tragfähigkeit von Schneckengetrieben bei Anfahrvorgängen sowie Last- und Drehzahlkollektiven”, PhD Thesis, Universität Bochum (GER), (2006)

Đ. Miltenović, “Research of thermal stability and wear of worm gear” (in Serbian), PhD Thesis, University of Banja Luka (SR BiH), (2017)

H. Xue, H. Xu, “Simulation calculation of temperature field of gearbox in straddle monorail train”, Jou. of Phy.: Con. Ser., Vol. 2174, pp. 1-8, https://iopscience.iop.org/article/10.1088/1742-6596/2174/1/012074, (2022)

P. Živković, M. Ognjanović, “Thermal balance of planetary gear drives” (in Serbian), Res. and Dev. of Mec. Ele. and Sys. “IRMES '06”, Banja Luka (SR BiH), 21-22. September, pp. 199-204, (2006)

A. Mihailidis, E. Athanasopoulos, K. Agouridas, “EHL film thickness and load dependent power loss of cycloid re-ducers”, Jou. Mech. Engin. Scie., Vol. 230 (7–8), pp. 1303–1317, https://doi.org/10.1177/0954406215612815, (2016)

M. Bojić, E. Hnatko, “Thermotechnics” (in Serbian), Faculty of Engineering of Kragujevac, Bor (Serbia), (1987)

R. J. Crawford, J. L. Throne, “Rotational Molding Technology”, William Andrew, Norwich (New York), (2001)

D. Jelaska, “Gears and Gear Drives”, John Wiley & Sons Ltd, Split (Croatia), https://doi.org/10.1002/97811183-92393, (2012)

ISO/TR 14179-2, Gears — Thermal capacity — Part 2: Thermal load-carrying capacity, (2001)

DIN 1681 Grade GS-60 heat treated. URL: https://matmatch.com/materials/minfm31143-din-1681-grade-gs-60-heat-treated (Accessed on: 2022-05-18)

C. H. Forsberg, “Heat Transfer Principles and Applications”, Academic Press, London (United Kingdom), (2021)

S. W. Churchill, H. H. S. Chu, “Correlating equations for laminar and turbulent free convection from a vertical plate”, Inr. J. He. Mo. Tra., Vol. 18 (11), pp. 1323-1329, https://doi.org/10.1016/0017-9310(75)90243-4, (1975)

P. Živković, “Energy losses and failure of planetary gears' parts research” (in Serbian), PhD Thesis, Faculty of Me-chanical Engineering of the University of Belgrade (Serbia), (2006)

Y. Bai, Q. Bai, “Subsea Engineering Handbook", Gulf Professional, Burlington (USA), (2010)

R. Hilpert, “Wärmeabgabe von geheizten Drähten und Rohren im Luftstrom”, Fors. auf dem Geb. des Inge. A, Vol. 4, pp. 215–224, https://doi.org/10.1007/BF02719754, (1933)

Gear oils. URL: https://testing.volume.co.uk/50636/page-templates/product-families/gear-oils.html (Accessed on: 2022-05-21)

Reduction Gear Grease Vigogrease RE0. URL: www.motionsolutions.com/store/pc/catalog/documents/grea-se/VigoTechDataAnalysis.pdf (Accessed on: 2022-05-21)

TwinSpin and DriveSpin catalogue, Edition II/2019. URL: https://www.graessner.at/upload/41432244-Catalogue-TwinSpin-and-DriveSpin.pdf (Accessed on: 2022-05-15)

M. Blagojević, “Kinematic and dynamic analysis of single - stage cyclo speed reducer” (in Serbian), Master's thesis, Faculty of Engineering University of Kragujevac (Serbia), (2003)

Grey cast iron. URL: https://www.vonroll-casting.ch/en/grey-cast-iron.html (Accessed on: 2022-05-18)

ADC12 Aluminum A383 | Equivalent Materials & Metal Specifications. URL: https://redstonemanufacturi-ng.com/adc12-aluminum/ (Accessed on: 2022-05-18)

V. Miltenović, M. Ognjanović, “Machine elements II: power transmission elements" (in Serbian), Faculty of Mechanical Engineering – University of Niš, Niš (Serbia), (1995)