Measured dynamic load distribution within the in situ axlebox bearing of high-speed trains under polygonal wheel–rail excitation

Abstract

The dynamic load distribution within in-service axlebox bearings of high-speed trains is crucial for the fatigue reliability assessment and forward design of axlebox bearings. This paper presents an in situ measurement of the dynamic load distribution in the four rows of two axlebox bearings on a bogie wheelset of a high-speed train under polygonal wheel–rail excitation. The measurement employed an improved strain-based method to measure the dynamic radial load distribution of roller bearings. The four rows of two axlebox bearings on a wheelset exhibited different ranges of loaded zones and different means of distributed loads. Besides, the mean value and standard deviation of measured roller–raceway contact loads showed non-monotonic variations with the frequency of wheel–rail excitation. The fatigue life of the four bearing rows under polygonal wheel–rail excitation was quantitatively predicted by compiling the measured roller–raceway contact load spectra of the most loaded position and considering the load spectra as input.

References

[1.] JinX. Research progress of high-speed wheel–rail relationship. Lubricants, 2022, 10(10): 248

[2.] MaoL, WangW, LiuZ, et al. . Investigation of the fatigue crack growth behavior of S355 steel weldments of motor hangers of high-speed trains. Eng Fail Anal, 2022, 140

[3.] HuW, LiuZ, LiuD, et al. . Fatigue failure analysis of high speed train gearbox housings. Eng Fail Anal, 2017, 73: 57-71

[4.] XuG, HouD, QiH, et al. . High-speed train wheel set bearing fault diagnosis and prognostics: a new prognostic model based on extendable useful life. Mech Syst Signal Process, 2021, 146

[5.] PetersenD, HowardC, SawalhiN, et al. . Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects. Mech Syst Signal Process, 2015, 50–51: 139-160

[6.] ZhangX, HanQ, PengZ, et al. . A comprehensive dynamic model to investigate the stability problems of the rotor–bearing system due to multiple excitations. Mech Syst Signal Process, 2016, 70–71: 1171-1192

[7.] NagatomoT, TakahashiK, OkamuraY, et al. . Effects of load distribution on life of radial roller bearings. J Tribol, 2012, 134(2)

[8.] SjövallH. The load distribution within ball and roller bearings under given external radial and axial load. Teknisk Tidskrift, 1933, 9: 97-102

[9.] PalmgrenA. Ball and roller bearing engineering, 19593PhiladelphiaSKF Industries

[10.] HarrisTA, KotzalasMN. Rolling bearing analysis: essential concepts of bearing technology, 20075FloridaTaylor & Francis

[11.] CaoH, NiuL, XiS, et al. . Mechanical model development of rolling bearing-rotor systems: a review. Mech Syst Signal Process, 2018, 102: 37-58

[12.] Xiong Q, Li Y, Wang Z et al (2021) Dynamic models for local faults on rolling element bearings: A review. In: Proceedings of IncoME-V & CEPE Net-2020. Zhuhai, pp 217–227

[13.] ZhaiW, SunX. A detailed model for investigating vertical interaction between railway vehicle and track. Veh Syst Dyn, 1994, 23(sup1): 603-615

[14.] ZhaiW, WangK, CaiC. Fundamentals of vehicle–track coupled dynamics. Veh Syst Dyn, 2009, 47(11): 1349-1376

[15.] WangZ, ZhangW, YinZ, et al. . Effect of vehicle vibration environment of high-speed train on dynamic performance of axlebox bearing. Veh Syst Dyn, 2019, 57(4): 543-563

[16.] WangZ, AllenP, MeiG, et al. . Influence of wheel-polygonal wear on the dynamic forces within the axle-box bearing of a high-speed train. Veh Syst Dyn, 2020, 58(9): 1385-1406

[17.] LiaoX, YiC, OuF, et al. . Research on load characteristics of axle-box bearing raceway under wheel–rail excitation. Shock Vib, 2021, 2021: 5871667

[18.] ZhaH, RenZ, XuN. Load characteristics of axle box bearing raceway of high-speed EMU. J Mech Eng, 2020, 56(4): 135-142(in Chinese)

[19.] YangC, ChiM, WuX, et al. . Analysis of load and life of EMU axle box bearing considering wheel polygonization evolution. J Vib Eng, 2023, 36(4): 1146-1155(in Chinese)

[20.] LiaoX, HeL, YiC, et al. . A simulation investigation on the influence of bearing outer ring defect on dynamic vibration characteristics of the axle-box system. Adv Theory Simul, 2023, 2023: 2300650

[21.] LiuY, ChenZ, LiW, et al. . Dynamic analysis of traction motor in a locomotive considering surface waviness on races of a motor bearing. Railw Eng Sci, 2021, 29(4): 379-393

[22.] LiuY, ChenZ, HuaX, ZhaiW. Effect of rotor eccentricity on the dynamic performance of a traction motor and its support bearings in a locomotive. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2022, 236(9): 1080-1090

[23.] Keller J, Guo Y (2016) Gearbox reliability collaborative investigation of high-speed-shaft bearing loads. National Renewable Energy Laboratory, U.S. Department of Energy

[24.] GuoY, KellerJ. Investigation of high-speed shaft bearing loads in wind turbine gearboxes through dynamometer testing. Wind Energy, 2018, 21(2): 139-150

[25.] ChenW, MillsR, Dwyer-JoyceRS. Direct load monitoring of rolling bearing contacts using ultrasonic time of flight. Proc R Soc A Math Phys Eng Sci, 2015, 471(2180): 20150103

[26.] NicholasG, HowardT, LongH, et al. . Measurement of roller load, load variation, and lubrication in a wind turbine gearbox high speed shaft bearing in the field. Tribol Int, 2020, 148

[27.] LiuD, LiQ, HuW, et al. . Fatigue life prediction of the axle box bearings for high-speed trains. DYNA, 2017, 92(5): 538-544

[28.] HouY, WangX. Measurement of load distribution in a cylindrical roller bearing with an instrumented housing: Finite element validation and experimental study. Tribol Int, 2021, 155

[29.] HouY, WangX, SunS, et al. . Measured load spectra of the bearing in high-speed train gearbox under different gear meshing conditions. Railw Eng Sci, 2022, 31(1): 37-51

[30.] HouY, WangX, QueH, et al. . Variation in contact load at the most loaded position of the outer raceway of a bearing in high-speed train gearbox. Acta Mech Sin, 2021, 37(11): 1683-1695

[31.] WangZ, MeiG, ZhangW, et al. . Effects of polygonal wear of wheels on the dynamic performance of the gearbox housing of a high-speed train. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2018, 232(6): 1852-1863

[32.] LeeCW. Vibration analysis of rotors, 1993DordechtKluwer Academic Publishers

[33.] Bellini A, Concari C, Franceschini G et al (2006) Thorough understanding and experimental validation of current sideband components in induction machines rotor monitoring. In: IECON Proceedings (Industrial Electronics Conference). Paris, pp 4957–4962

[34.] HouY, WangX, LiX, et al. . Experimental study on the effect of off-sized rollers on the dynamic load distribution in a cylindrical roller bearing. J Tribol, 2023, 145(7)

[35.] YangD, WangX. Time-varying stiffness analysis of double-row tapered roller bearing based on the mapping structure of bearing stiffness matrix. Acta Mech Sin, 2022, 38(11)

[36.] LimTC, SinghR. Vibration transmission through rolling element bearings, part II: system studies. J Sound Vib, 1990, 139(2): 201-225

[37.] WangZ, ChengY, AllenP, et al. . Analysis of vibration and temperature on the axle box bearing of a high-speed train. Veh Syst Dyn, 2020, 58(10): 1605-1628

[38.] GuoL, YuY, ChenZ, et al. . Study on dynamic characteristics of urban rail transit vehicle considering faulty axle-box bearings under variable speeds. Mech Syst Signal Process, 2024, 206

[39.] JiC, SunS, LiQ, et al. . A novel method for the general application of measured load spectra to different high-speed train bogie frames based on virtual track irregularity. Measurement, 2022, 198

[40.] LiuL, ZhangWH, SongDL. Dynamic characteristics analysis of axle box spring by FEM. Adv Mater Res, 2013, 712–715: 1535-1540

[41.] WangZ, YinZ, WangR, et al. . Coupled dynamic behaviour of a transmission system with gear eccentricities for a high-speed train. Veh Syst Dyn, 2021, 59(4): 613-634

[42.] YiC, HuoH, LiaoX, et al. . Investigation on the characterisation of axle box resonance characteristics to wheel excitation. Veh Syst Dyn, 2023, 61(9): 2256-2272

[43.] HanJ, ZhongS, XiaoX, et al. . High-speed wheel/rail contact determining method with rotating flexible wheelset and validation under wheel polygon excitation. Veh Syst Dyn, 2018, 56(8): 1233-1249

[44.] HeulerP, KlätschkeH. Generation and use of standardised load spectra and load-time histories. Int J Fatigue, 2005, 27(8): 974-990

[45.] LeeJG, PalazzoloA. Catcher bearing life prediction using a rainflow counting approach. J Tribol, 2012, 134(3)

[46.] SturgesHA. The choice of a class interval. J Am Stat Assoc, 1926, 21(153): 65-66

[47.] ZhaoY, WangX, SunS. A life prediction model for rolling contact fatigue based on the improved moment of load path method. Fatigue Fract Eng Mater Struct, 2023, 46(11): 4286-4298

[48.] MinerMA. Cumulative damage in fatigue. J Appl Mech Trans ASME, 1945, 12(3): A159-A164

[49.] StandardISO. Rolling bearings—dynamic load ratings and rating life. ISO, 2007, 281: 2007

Funding

National Natural Science Foundation of China(12302238); National Key Research and Development Program of China(2022YFB3402904)