One of the most important types of misalignments is crooked ball bearing rings. In this study, effects of crooked shaft washer related to a single-row thrust ball bearing on the system vibrating response have been investigated. For this purpose, a new dynamic model including 4-dof is considered for this bearing, housing and shaft mounted on it. Contact forces between rings and balls are described according to Hertzian equation. In the following, nonlinear Euler’s equilibrium is used to describe dynamic motion of the rings solved by numerical method. It is shown that these responses contain frequencies and phases that support the specialized signature of crookedness of the shaft washer in thrust ball bearing. Verification of responses has been done by Ansys software. The effect of amount of crookedness in the shaft washer and external axial force on the responses have also been investigated.
AhmadiAMDickPCarlH (2015) A nonlinear dynamic vibration model of defective bearings – the importance of modelling the finite size of rolling elements. Mechanical Systems and Signal Processing52–53: 309–356.
2.
CuiLZhangYZhangF, et al. (2016) Vibration response mechanism of faulty outer race rolling element bearings for quantitative analysis. Journal of Sound and Vibration364: 67–76.
3.
D’SouzaFAGargKV (1984) Advanced Dynamics: Modeling and Analysis. Englewood Cliffs: Prentice Hall College Div.
4.
FuXQJiaWTXuH, et al. (2016) Imbalance-misalignment-rubbing coupling faults in hydraulic turbine vibration. Optik127: 3708–3712.
5.
GaoYLiZMaF, et al. (2014) Influence of bearing housing non concentricity on vibration characteristics of rolling element bearing–rotor system. Proceedings of the Institution of Mechanical Engineers, Part K228(4): 388–399.
6.
HarrisTAKotzalasMN (2007) Rolling Bearing Analysis: Essential Concepts of Bearing Technology. Boca Raton: Taylor&Francis.
7.
HintonWR (1970) A theoretical study of the effect of angular misalignment on ball bearing cage life. Wear16: 175–187.
8.
JangJYKhonsariMM (2020) On the wear of dynamically-loaded engine bearings with provision for misalignment and surface roughness. Tribology International141: 105919.
9.
JalanAKMohantyAR (2009) Model based fault diagnosis of a rotor–bearing system for misalignment and unbalance under steady-state condition. Journal of Sound and Vibration327: 604–629.
10.
LalMTiwariR (2012) Multi-fault identification in simple rotor-bearing-coupling systems based on forced response measurements. Mechanism and Machine Theory51: 87–109.
11.
LiS (2021) Strength analysis of the roller bearing with a crowning and misalignment error. Engineering Failure Analysis123: 105311.
12.
MohantyARFatimaS (2015) Shaft misalignment detection by thermal imaging of support bearings. IFAC-PapersOnLine48–21: 554–559.
13.
Nur KuduFSenayUGokhanO, et al. (2015) Estimation of damping ratios of steel structures by Operational Modal Analysis method. Journal of Constructional Steel Research112: 61–68.
14.
PatelTHDarpeAK (2009) Vibration response of misaligned rotors. Journal of Sound and Vibration325: 609–628.
15.
PetersenDHowardCSawalhiN, et al. (2015) Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects. Mechanical Systems and Signal Processing50–51: 139–160.
16.
ReddyMCSSekharAS (2015) Detection and monitoring of coupling misalignment in rotors using torque measurements. Measurement61: 111–122.
17.
RandallRBAntoniJ (2011) Rolling element bearing diagnostics—a tutorial. Mechanical Systems and Signal Processing25(2): 485–520.
18.
SapietovaADekysV (2016) Dynamic analysis of rotating machines in MSC.ADAMS. Procedia Engineering136: 143–149.
19.
SimmAWangQHuangS, et al. (2016) Laser based measurement for the monitoring of shaft misalignment. Measurement87: 104–116.
20.
SinhaJKLeesAWFriswellMI (2004) Estimating unbalance and misalignment of a flexible rotating machine from a single run-down. Journal of Sound and Vibration272: 967–989.
21.
SopanenJMikkolaA (2003a) Dynamic model of a deep-groove ball bearing including localized and distributed defects. Part 1: theory, Proceedings of the Institution of Mechanical Engineers, Part K. Journal of Multi-body Dynamics217: 201–211.
22.
SopanenJMikkolaA (2003b) Dynamic model of a deep-groove ball bearing including localized and distributed defects. Part 2: implementation and results, Proceedings of the Institution of Mechanical Engineers, Part K. Journal of Multi-body Dynamics217: 213–223.
23.
TongVCHongSW (2016) Fatigue life of tapered roller bearing subject to angular misalignment. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science230(2): 147–158.
24.
TongVCHongSW (2018) Study on the running torque of angular contact ball bearings subjected to angular misalignment. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology232(7): 890–909.
25.
WardaBChudzikA (2016) Effect of ring misalignment on the fatigue life of the radial cylindrical roller bearing. International Journal of Mechanical Sciences111–112: 1–11.
26.
WangNJiangD (2018) Vibration response characteristics of a dual-rotor with unbalance-misalignment coupling faults: theoretical analysis and experimental study. Mechanism and Machine Theory125: 207–219.
27.
WangPXuHMaH, et al. (2022) Effects of three types of bearing misalignments on dynamic characteristics of planetary gear set-rotor system. Mechanical Systems and Signal Processing169: 108736.
28.
XiaYPangJLiangY, et al. (2019) Study on vibration response and orbits of misaligned rigid rotors connected by hexangular flexible coupling. Applied Acoustics155: 286–296.
29.
XingYXuHPeiS, et al. (2017) Mechanical analysis of spherical roller bearings due to misalignments between inner and outer rings. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science231(17): 3250–3262.
30.
XuTYangLWuW, et al. (2021) Effect of angular misalignment of inner ring on the contact characteristics and stiffness coefficients of duplex angular contact ball bearings. Mechanism and Machine Theory157: 104178.
31.
YangLXuTXuH, et al. (2018) Mechanical behavior of double-row tapered roller bearing under combined external loads and angular misalignment. International Journal of Mechanical Sciences142(143): 561–574.
32.
YeZWangLGuL, et al. (2013) Effect of tilted misalignment on loading characteristics of cylindrical roller bearings. Mechanism and Machine Theory69: 153–167.
33.
YiJPangBLiuH, et al. (2014) Influence of misalignment on nonlinear dynamic characteristics for matched bearings-rotor system. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics228(2): 172–181.
34.
ZhangYFangBKongL, et al. (2020) Effect of the ring misalignment on the service characteristics of ball bearing and rotor system. Mechanism and Machine Theory151: 103889.
35.
ZhuSSunJLiB, et al. (2020) Thermal turbulent lubrication analysis of rough surface journal bearing with journal misalignment. Tribology International144: 106109.
