Dynamic analysis of traction motor in a locomotive considering surface waviness on races of a motor bearing

Abstract

The traction motor is the power source of the locomotive. If the surface waviness occurs on the races of the motor bearing, it will cause abnormal vibration and noise, accelerate fatigue and wear, and seriously affect the stability and safety of the traction power transmission. In this paper, an excitation model coupling the time-varying displacement and contact stiffness excitations is adopted to investigate the effect of the surface waviness of the motor bearing on the traction motor under the excitation from the locomotive-track coupled system. The detailed mechanical power transmission path and the internal/external excitations (e.g., wheel–rail interaction, gear mesh, and internal interactions of the rolling bearing) of the locomotive are comprehensively considered to provide accurate dynamic loads for the traction motor. Effects of the wavenumber and amplitude of the surface waviness on the traction motor and its neighbor components of the locomotive are investigated. The results indicate that controlling the amplitude of the waviness and avoiding the wavenumber being an integer multiple of the number of the rollers are helpful for reducing the abnormal vibration and noise of the traction motor.

Keywords

Rolling bearing / Traction motor / Waviness / Vibration responses / Vehicle–track coupled dynamics

References

[1.] Tandon N Choudhury A. A review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings. Tribol Int, 1999 32 8 469-480

[2.] Jones AB. A general theory for elastically constrained ball and radial roller bearings under arbitary load and speed conditions. Trans ASME, 1960 82 309

[3.] Harris TA. Rolling bearing analysis, 2001 New York Wiley

[4.] Cao H Li Y . A new dynamic model of ball-bearing rotor systems based on rigid body element. J Manuf Sci Eng, 2016 138 7 071007

[5.] Liu Y Chen Z Tang L . Skidding dynamic performance of rolling bearing with cage flexibility under accelerating conditions. Mech Syst Signal Process, 2021 150 107257

[6.] Tallian TE Gustafsson OG. Progress in rolling bearing vibration research and control. ASLE Trans, 1965 8 3 195-207

[7.] Lynagh N Rahnejat H Ebrahimi M . Bearing induced vibration in precision high speed routing spindles. Int J Mach Tools Manuf, 2000 40 4 561-577

[8.] Jang G Jeong SW. Vibration analysis of a rotating system due to the effect of ball bearing waviness. J Sound Vib, 2004 269 3–5 709-726

[9.] Liu J Shao Y. Vibration modelling of nonuniform surface waviness in a lubricated roller bearing. J Vib Control, 2017 23 7 1115-1132

[10.] Liu J Wu H Shao Y. A comparative study of surface waviness models for predicting vibrations of a ball bearing. Sci China Technol Sci, 2017 60 12 1841-1852

[11.] Liu J Li X Ding S . A time-varying friction moment calculation method of an angular contact ball bearing with the waviness error. Mech Mach Theory, 2020 148 103799

[12.] Alfares M Al-Daihani G Baroon J. The impact of vibration response due to rolling bearing components waviness on the performance of grinding machine spindle system. Proc Inst Mech Eng Part K J Multi-body Dyn, 2019 233 3 747-762

[13.] Yu H Ran Y Zhang G . A time-varying comprehensive dynamic model for the rotor system with multiple bearing faults. J Sound Vib, 2020 488 115650

[14.] Garg V Dukkipati R. Dynamics of railway vehicle systems, 1984 Toronto Academic Press

[15.] Zhai W Wang K Cai C. Fundamentals of vehicle–track coupled dynamics. Veh Syst Dyn, 2009 47 11 1349-1376

[16.] Zhai W Xia H Cai C . High-speed train–track–bridge dynamic interactions–Part I: theoretical model and numerical simulation. Int J Rail Transp, 2013 1 1–2 3-24

[17.] Xu L Zhai W. Train–track coupled dynamics analysis: system spatial variation on geometry, physics and mechanics. Railw Eng Sci, 2020 28 1 36-53

[18.] Huang G Zhou N Zhang W. Effect of internal dynamic excitation of the traction system on the dynamic behavior of a high-speed train. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2016 230 8 1899-1907

[19.] Wang T Wang Z Song D . Effect of track irregularities of high-speed railways on the thermal characteristics of the traction motor bearing. Proc Inst Mech Eng Part F J Rail Rapid Transit, 2020

[20.] Chen Z Zhai W Wang K. Vibration feature evolution of locomotive with tooth root crack propagation of gear transmission system. Mech Syst Signal Process, 2019 115 29-44

[21.] Liu Y Chen Z Zhai W . Dynamic investigation of traction motor bearing in a locomotive under excitation from track random geometry irregularity. Int J Rail Transp, 2021

[22.] Wang Z Zhang W Yin Z . Effect of vehicle vibration environment of high-speed train on dynamic performance of axle box bearing. Veh Syst Dyn, 2019 57 4 543-563

[23.] Liu Y Chen Z Zhai W . Dynamic modelling of traction motor bearings in locomotive-track spatially coupled dynamics system. Veh Syst Dyn, 2021

[24.] Chen Z Zhou Z Zhai W . Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations. Mech Mac Theory, 2020 149 103838

[25.] Lambert RJ Pollard A Stone BJ. Some characteristics of rolling-element bearings under oscillating conditions. Part 1: theory and rig design. Proc Inst Mech Eng Part K J Multi-body Dyn, 2006 220 3 157-170

[26.] Liu J Xu Y Pan G. A combined acoustic and dynamic model of a defective ball bearing. J Sound Vib, 2021

[27.] Brewe D Hamrock B. Simplified solution for elliptical-contact deformation between two elastic solids. ASME J Lubr Technol, 1977 101 2 231-239

[28.] Weinzapfel N Sadeghi F. A discrete element approach for modeling cage flexibility in ball bearing dynamics simulations. J Tribol, 2009 131 2 021102

[29.] Tu W Shao Y Mechefske CK . An analytical model to investigate skidding in rolling element bearings during acceleration. J Mech Sci Technol, 2012 26 8 2451-2458

[30.] Cao H Niu L Xi S . Mechanical model development of rolling bearing-rotor systems: a review. Mech Syst Signal Process, 2018 102 37-58

[31.] Shah DS Patel VN. A review of dynamic modeling and fault identifications methods for rolling element bearing. Procedia Technol, 2014 14 447-456

[32.] Harris TA Kotzalas MN. Rolling bearing analysis-essential concepts of bearing technology, 2007 5 Milton Park Taylor and Francis

[33.] Zhai W. Two simple fast integration methods for large-scale dynamic problems in engineering. Int J Numer Meth Eng, 1996 39 24 4199-4214

[34.] Dormand JR Prince PJ. A family of embedded Runge-Kutta formulae. J Comput Appl Math, 1980 6 1 19-26

Funding

National Natural Science Foundation of China(51735012)