Thermal elastohydrodynamic lubrication of modified gear system considering vibration

Abstract

The thermal elastohydrodynamic lubrication characteristics of a modified gear system under a dynamic load were investigated, including the influence of the modification coefficient and vibrations. Based on the dynamic theory of gear systems, a six-degree-of-freedom tribo-dynamics model was established. Thermal elastohydrodynamic lubrication characteristics of a modified gear system under vibrations and a static load were analyzed. The results showed that the positive transmission gear system exhibited the better lubrication effect compared with other transmission types. A thick lubricating oil film could be formed, and the friction coefficient between the teeth and the oil film flash temperature was the smallest. As the modification coefficient increased, the lubrication condition was continuously improved, and the scuffing load capacity was enhanced. The increment of the modification coefficient increased the meshing stiffness of the gear system but reduced the stiffness of the oil film.

Keywords

involute spur gear / tribo-dynamics model / oil film stiffness / modification coefficient / lubrication property

References

[1] WangJ-j, LiQ-h, LiR-fang. Research advances for nonlinear vibration of gear transmission systems [J]. Advances in Mechanics, 2005, 35(1): 37-51(in Chinese)

[2] SeiregA, HouserD. Evaluation of dynamic factors for spur and helical gears [J]. ASME J Eng Ind, 1970, 1: 504-515

[3] SakaridisE, SpitasV, SpitasC. Non-linear modeling of gear drive dynamics incorporating intermittent tooth contact analysis and tooth eigenvibrations [J]. Mechanism and Machine Theory, 2019, 136: 307-333

[4] YaoW-xi. Meshing impact response of involute spur gears [J]. Vibration, Testing and Diagnosis, 1992, 12(2): 27-30(in Chinese)

[5] HuaD-y, ZhangH-h, XuDong. A research on dynamics of rotator-gearing system [J]. Journal of Shanghai University of Technology, 1990, 11(2): 124-134(in Chinese)

[6] ZhaoJ-j, WangY-q, ZhangP, JianG-xiao. A Newtonian thermal elastohydrodynamic lubrication model for ferrofluid-lubricated involute spur gear pair [J]. Lubrication Science, 2020, 32(2): 33-45

[7] WangW-z, CaoHong. Numerical simulation of unsteady EHL lubrication of involute helical gears [J]. Tribology, 2011, 31(6): 604-609(in Chinese)

[8] DaiL, PuW, WangJ-xu. Mixed EHL analysis of planetary drives with small teeth number difference considering real tooth geometry [J]. Lubrication Science, 2018, 30(6): 317-330

[9] LiuH-j, ZhuC-c, SunZ-d, SongC-sheng. Starved lubrication of a spur gear pair [J]. Tribology International, 2016, 94: 52-60

[10] GlovneaR, ZhangX-nan. Elastohydrodynamic films under periodic load variation: An experimental and theoretical approach [J]. Tribology Letters, 2018, 66(3): 1-11

[11] LuL-x, ZhangH-hao. Nonsteady elastohydrodynamic lubrication of Gear Transmission system under dynamic load [J]. Lubrication Engineering, 2002, 27(1): 12-14(in Chinese)

[12] LiuH-j, MaoK, ZhuC-c, ChenS-y, XuX-y, LiuM-yong. Spur gear lubrication analysis with dynamic loads [J]. Tribology Transactions, 2013, 56(1): 41-48

[13] WangK L, ChengH S. A numerical solution to the dynamic load, film thickness, and surface temperatures in spur gears, part I: Analysis [J]. Journal of Mechanical Design, 1981, 103(1): 177-187

[14] WangK L, ChengH S. A numerical solution to the dynamic load, film thickness, and surface temperatures in spur gears, Part II: Results [J]. Transactions of the ASME, 1981, 103(1): 188-194

[15] ShiG-w, WangY-qiang. Influence of variable coiling and suction speed process on hot mixed lubrication of spur gear [J]. Lubrication Engineering, 2011, 36(1): 43-48(in Chinese)

[16] YangY-liangResearch on thermo-elastic coupling and vibration damping with modification of helical gear system [D], 2016, Dalian, Dalian University of Technology(in Chinese)

[17] ZhangZ-qiangStudy on elastohydrodynamic lubrication and dynamics contact of double involute gear [D], 2014, Qingdao, Qingdao University of Science & Technology(in Chinese)

[18] WangY-q, ChangTong. The influence of approach impact load on elasto-hydrodynamic lubrication of involute spur gears [J]. Chinese Journal of Computational Mechanics, 2010, 27(3): 527-532(in Chinese)

[19] ZhaoJ-j, WangY-qiang. Non-steady-state EHL analysis of impact load in involute spur gear under different carrier fluid ferrofluid [J]. Machine Tool & Hydraulics, 2019, 47(22): 20-2340

[20] WangY-q, HeZ-c, SuWei. Effect of impact load on transient elastohydrodynamic lubrication of involute spur gears [J]. Tribology Transactions, 2012, 55(2): 155-162

[21] de la CruzM, ChongWWF, TeodorescuM, TheodossiadesS, RahnejatH. Transient mixed thermo-elastohydrodynamic lubrication in multi-speed transmissions [J]. Tribology International, 2012, 49: 17-29

[22] XueJ-h, LiW, QinC-yan. The scuffing load capacity of involute spur gear systems based on dynamic loads and transient thermal elastohydrodynamic lubrication [J]. Journal of Central South University (Science and Technology), 2014, 42: 32-44(in Chinese)

[23] JianG-x, WangY-q, ZhangP, XieY-nong. Analysis of lubricating performance for involute spur gear under vibration [J]. Lubrication Science, 2020, 32(7): 344-357

[24] LiS, KahramanA. A spur gear mesh interface damping model based on elastohydrodynamic contact behaviour [J]. International Journal of Powertrains, 2011, 1(1): 4-21

[25] LiS, KahramanA. A tribo-dynamic model of a spur gear pair [J]. Journal of Sound and Vibration, 2013, 332(20): 4963-4978

[26] BarbieriM, LubrechtA A, PellicanoF. Behavior of lubricant fluid film in gears under dynamic conditions [J]. Tribology International, 2013, 62: 37-48

[27] MaR-kangA study of quasi-static and dynamic behavior of double helical gears [M], 2014, Ohio, The Ohio State University

[28] HuangX-b, YangB-t, WangY-qiang. A nano-lubrication solution for high-speed heavy-loaded spur gears and stiffness modelling [J]. Applied Mathematical Modelling, 2019, 72: 623-649

[29] ZhangY-y, LiuH-j, ZhuC-c, LiuM-y, SongC-sheng. Oil film stiffness and damping in an elastohydrodynamic lubrication line contact-vibration [J]. Journal of Mechanical Science and Technology, 2016, 30(7): 3031-3039

[30] ZhouC-j, XiaoZ-l, ChenS-y, HanXu. Normal and tangential oil film stiffness of modified spur gear with non-Newtonian elastohydrodynamic lubrication [J]. Tribology International, 2017, 109: 319-327

[31] LeiC-l, LiF-h, GuoJ-f, YangX-yan. Analysis on the oil film stiffness of rolling bearings based on multi parameter coupling [J]. Journal of Vibration and Shock, 2018, 37(10): 225-232(in Chinese)

[32] ZouY-j, ChangD-gong. Coupling analysis of dynamics and EHL for spur gears [J]. Journal of Aerospace Power, 2016, 31(4): 2010-2020(in Chinese)

[33] ZouY-jing. Coupling research on dynamical behavior and elastohydrodynamic lubrication property of helical gear [J]. Journal of Mechanical Engineering, 2019, 55(3): 109-117 in Chinese)

[34] LiuF-h, JiangH-j, ZhangL, ChenLi. Analysis of vibration characteristic for helical gear under hydrodynamic conditions [J]. Advances in Mechanical Engineering, 2017, 9(1): 168781401668796

[35] LiuF-h, JiangH-j, LiuS-n, YuX-hua. Dynamic behavior analysis of spur gears with constant & variable excitations considering sliding friction influence [J]. Journal of Mechanical Science and Technology, 2016, 30125363-5370

[36] YuanS-h, DongH-l, LiX-yuan. Analysis of lubricating performance for involute gear based on dynamic loading theory [J]. Journal of Mechanical Design, 2012, 134(12): 1-9

[37] DongH-l, YuanS-h, HuJ-b, LiX-yuanAnalysis of lubricating performance for involute gear considering tribo-dynamic behavior [J], 2013, 33(5): 436-442(in Chinese)

[38] YuanS-hua. Dynamic loading analysis of involute gears considering lubrication performance [J]. Journal of Mechanical Engineering, 2012, 48(19): 10-16 in Chinese)

[39] LiR-f, WangJ-junGear system dynamics [M], 1997, Beijing, Science press(in Chinese)

[40] TangJ-y, CaiW-x, WangZ-wei. Meshing stiffness formula of modification gear [J]. Journal of Central South University (Science and Technology), 2017, 48(2): 337-342(in Chinese)

[41] WangY-q, YangP-ran. Analysis of Transient Micro-Thermoelastic Flow of Involute Spur Gears [J]. Journal of Mechanical Engineering, 2007, 43(11): 142-148 in Chinese)

[42] YangP-ranNumerical analysis of fluid lubrication [M], 1998, Beijing, National Defense Industry Press(in Chinese)

[43] LuoBiaoInvestigation of thermo-elastic coupling dynamics and multi-objective comprehensive tooth profile modification of gear transmission system [D], 2019, Beijing, University of Science and Technology Beijing(in Chinese)