A finite-element-aided ultrasonic method for measuring central oil-film thickness in a roller-raceway tribo-pair

Springer Science and Business Media LLC - Tập 10 - Trang 944-962 - 2021
Pan Dou1, Tonghai Wu2, Zhaopeng Luo2, Peiping Yang3, Zhongxiao Peng4, Min Yu5, Tom Reddyhoff5
1Key Laboratory of Education Ministry for Modern Design and Rotor‐Bearing System, Xi'an Jiaotong University, Xi'an, China
2Key Laboratory of Education Ministry for Modern Design and Rotor-bearing System, Xi’an Jiaotong University, Xi’an, China
3Dongfang Electric Machinery Co., Ltd., Deyang, China
4School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, Australia
5Department of Mechanical Engineering, Imperial College London, London, UK

Tóm tắt

Roller bearings support heavy loads by riding on an ultra-thin oil film (between the roller and raceway), the thickness of which is critical as it reflects the lubrication performance. Ultrasonic interfacial reflection, which facilitates the non-destructive measurement of oil-film thickness, has been widely studied. However, insufficient spatial resolution around the rolling line contact zone remains a barrier despite the use of miniature piezoelectric transducers. In this study, a finite-element-aided method is utilized to simulate wave propagation through a three-layered structure of roller-oil-raceway under elastohydrodynamic lubrication (EHL) with nonlinear characteristics of the i) deformed curvature of the cylindrical roller and ii) nonuniform distribution of the fluid bulk modulus along the circumference of the oil layer being considered. A load and speed-dependent look-up table is then developed to establish an accurate relationship between the overall reflection coefficient (directly measured by an embedded ultrasonic transducer) and objective variable of the central oil-film thickness. The proposed finite-element-aided method is verified experimentally in a roller-raceway test rig with the ultrasonically measured oil-film thickness corresponding to the values calculated using the EHL theory.

Tài liệu tham khảo

Stachowiak G W, Batchelor A W. Engineering Tribology. Amsterdam (USA): Elsevier, 2006. Wen S, Huang P. Principles of Tribology. Beijing (China): Tsinghua University, 2011. Grubin A N. Fundamentals of the hydrodynamic theory of lubrication of heavily loaded cylindrical surfaces. In Proceedings of the Symposium on Investigation of the Contact of Machine Components, Moscow, Russia, 1949: 115–166. Dowson D, Higginson G R. Elasto-Hydrodynamic Lubrication. Amsterdam (the Netherlands): Elsevier, 1977: 65–77. El-Sisi S I, Shawki G S A. Measurement of oil-film thickness between disks by electrical conductivity. ASME J Basic Eng 82: 12–8 (1960) Astridge D G, Longfield M D. Paper 11: Capacitance measurements and oil film thickness in a large-radius disc and ring machine. Proc Inst Mech Eng Conf Proc 182(14): 89–96 (1967) Vlădescu S C, Medina S, Olver A V, Pegg I G, Reddyhoff T. Lubricant film thickness and friction force measurements in a laser surface textured reciprocating line contact simulating the piston ring-liner pairing. Tribol Int 98: 317–329 (2016) Jablonka K, Glovnea R, Bongaerts J. Quantitative measurements of film thickness in a radially loaded deep-groove ball bearing. Tribol Int 119: 239–249 (2018) Zhang Y G, Wang W Z, Zhang S G, Zhao Z Q. Optical analysis of ball-on-ring mode test rig for oil film thickness measurement. Friction 4(4): 324–334 (2016) Ma L R, Luo J B. Thin film lubrication in the past 20 years. Friction 4(4): 280–302 (2016) Dwyer-Joyce R S, Harper P, Drinkwater B W. A method for the measurement of hydrodynamic oil films using ultrasonic reflection. Tribol Lett 17(2): 337–348 (2004) Dou P, Wu T H, Luo Z P. Wide range measurement of lubricant film thickness based on ultrasonic reflection coefficient phase spectrum. J Tribol 141(3): 031702 (2019) Dou P, Wu T H, Luo Z P, Peng Z X, Sarkodie-Gyan T. The application of the principle of wave superposition in ultrasonic measurement of lubricant film thickness. Measurement 137: 312–322 (2019) Yu M, Shen L, Mutasa T, Dou P, Wu T H, Reddyhoff T. Exact analytical solution to ultrasonic interfacial reflection enabling optimal oil film thickness measurement. Tribol Int 151: 106522 (2020) Dou P, Wu T H, Peng Z X. A time-domain ultrasonic approach for oil film thickness measurement with improved resolution and range. Meas Sci Technol 31(7): 075006 (2020) Zhang J, Drinkwater B W, Dwyer-Joyce R S. Acoustic measurement of lubricant-film thickness distribution in ball bearings. J Acoust Soc Am 119(2): 863 (2006) Dwyer-Joyce R S, Reddyhoff T, Drinkwater B W. Operating limits for acoustic measurement of rolling bearing oil film thickness. Tribol Trans 47(3): 366–375 (2004) Drinkwater B W, Zhang J, Kirk K J, Elgoyhen J, Dwyer-Joyce R S. Ultrasonic measurement of rolling bearing lubrication using piezoelectric thin films. J Tribol 131(1): 011502 (2009) Mills R, Vail J R, Dwyer-Joyce R. Ultrasound for the non-invasive measurement of internal combustion engine piston ring oil films. In Proceedings of the Institution of Mechanical Engineers. Part J: J Eng Tribol 229(2): 207–215 (2015) Zhang K, Meng Q F, Chen W, Li J N, Harper P. Ultrasonic measurement of oil film thickness between the roller and the inner raceway in a roller bearing. Ind Lubr Tribol 67(6): 531–537 (2015) Li M, Liu H, Xu C, Jing M Q, Xin W H. Ultrasonic measurement of cylindrical roller bearing lubrication using high pulse repletion rates. J Tribol 137(4): 042202 (2015) Li M, Jing M Q, Chen Z F, Liu H. An improved ultrasonic method for lubricant-film thickness measurement in cylindrical roller bearings under light radial load. Tribol Int 78: 35–40 (2014) Hunter A, Dwyer-Joyce R, Harper P. Calibration and validation of ultrasonic reflection methods for thin-film measurement in tribology. Meas Sci Technol 23(10): 105605 (2012) Dwyer-Joyce R S, Drinkwater B W, Donohoe C J. The measurement of lubricant-film thickness using ultrasound. Proc R Soc Math Phys Eng Sci 459(2032): 957–976 (2003) Jensen J A, Svendsen N B. Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers. IEEE Trans Ultrason Ferroelectr Freq Control 39(2): 262–267 (1992) Information on https://doc.comsol.com/5.4/doc/com.comsol.help.sme/StructuralMechanicsModuleUsersGuide.pdf. Information on https://doc.comsol.com/5.4/doc/com.comsol.help.aco/AcousticsModuleUsersGuide.pdf. Liu J, Xu G C, Ren L, Qian Z H, Ren L Q. Simulation analysis of ultrasonic detection for resistance spot welding based on COMSOL Multiphysics. Int J Adv Manuf Technol 93(5–8): 2089–2096 (2017) Demirli R, Saniie J. Model-based estimation of ultrasonic echoes. Part I: Analysis and algorithms. IEEE Trans Ultrason Ferroelectr Freq Control 48(3): 787–802 (2001) Bair S. Conclusion. High Pressure Rheology for Quantitative Elastohydrodynamics. Amsterdam (the Netherlands): Elsevier, 2019. Dwyer-Joyce R S, Reddyhoff T, Zhu J. Ultrasonic measurement for film thickness and solid contact in elastohydrodynamic lubrication. J Tribol 133(3): 031501 (2011) Fakhreddine Y A, Zoller P. The equation of state of a polydimethylsiloxane fluid. J Appl Polym Sci 41(5–6): 1087–1093 (1990) Li M, Liu H, Xu C, Jing M Q, Dong G H. Ultrasonic measurement of cylindrical roller-bearing lubricant film distribution with two juxtaposed transducers. Tribol Trans 60(1): 79–86 (2017) Wan Ibrahim M K, Gasni D, Dwyer-Joyce R S. Profiling a ball bearing oil film with ultrasonic reflection. Tribol Trans 55(4): 409–421 (2012) Nicholas G, Howard T, Long H, Wheals J, Dwyer-Joyce R S. Measurement of roller load, load variation, and lubrication in a wind turbine gearbox high speed shaft bearing in the field. Tribol Int 148: 106322 (2020) Kinsler L E, Frey A R, Coppens A B, Sanders J V. Fundamentals of Acoustics. 4th edn. New Jersey (USA): John Wiley & Sons Inc, 2000. Masjedi M, Khonsari M M. Film thickness and asperity load formulas for line-contact elastohydrodynamic lubrication with provision for surface roughness. J Tribol 134(1): 011503 (2012)