Investigation on the nonlinear characteristics of high-speed rolling element bearing-rotor systems

WANG Zi,ZHU Caichao

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (20) : 168-176.

PDF(3085 KB)
PDF(3085 KB)
Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (20) : 168-176.

Investigation on the nonlinear characteristics of high-speed rolling element bearing-rotor systems

  • WANG Zi,ZHU Caichao
Author information +
History +

Abstract

A rolling element bearing is an extremely important basic component in rotating machinery.For high-speed work condition, the main source for the vibration and noise problem of the rolling element bearing-rotor system lies in the strong nonlinear characteristics of bearing forces and rotor unbalance force.Two different bearing stiffness calculation techniques were proposed and the carrying capacity and disturbance resisting ability of bearing were analyzed in this work.An improved analysis model for the nonlinear vibration behaviors of the bearing-rotor coupled system, which is excited by the time-dependent and nonlinear characteristics of bearing supporting force and the unbalance force from rotor dynamic displacement, was proposed.Two different types of bearings were brought in for case studies.The comprehensive 3-dimensional load-displacement distributions over one whole ball pass cycle were captured by a Finite Element/Contact Mechanics mixed method.The nonlinear characteristics of mean stiffness and alternating stiffness of rolling element bearings were discussed.The load-dependence and time-variation characteristics of rolling element bearing dynamic support forces were obtained through the improved dynamic model and the strong nonlinear vibration responses caused by the bearing dynamic excitations were observed.

Key words

rolling element bearing nonlinear characteristics / rolling element bearing stiffness / high speed rotor system / rotor unbalance force / non-linear dynamics

Cite this article

Download Citations
WANG Zi,ZHU Caichao. Investigation on the nonlinear characteristics of high-speed rolling element bearing-rotor systems[J]. Journal of Vibration and Shock, 2021, 40(20): 168-176

References

[1]SUNNERSJ C. Varying compliance vibrations of rolling bearings[J].Journal of Sound & Vibration, 1978, 58(3): 363-373.
[2]MEVEL B, GUYAKER J L.Routes to chaos in ball bearings[J].Journal of Sound & Vibration, 1993, 162(3): 471-487.
[3]TIWARI M, GUPTA K, PRAKASH O.Dynamic response of an unbalanced rotor supported on ball bearings[J].Journal of Sound & Vibration, 2000, 238(5): 757-779.
[4]ZHANG X, HAN Q, PENG Z, et al.Stability analysis of a rotor-bearing system with time-varying bearing stiffness due to finite number of balls and unbalanced force[J].Journal of Sound and Vibration, 2013, 332(25): 6768-6784.
[5]NAN G, TANG M, CHEN E, et al.Nonlinear dynamic mechanism of rolling element bearings with an internal clearance in a rotor-bearing system[J].Advances in Mechanical Engineering, 2016, 8(11):1-9.
[6]LIOULIOS A, ANTONIADIS I.Effect of rotational speed fluctuations on the dynamic behaviour of rolling element bearings with radial clearances[J].International Journal of Mechanical Sciences, 2006, 48(8): 809-829.
[7]KAPPAGANTHU K, NATARAJ C.Nonlinear modeling and analysis of a rolling element bearing with a clearance[J].Communications in Nonlinear Science and Numerical Simulation, 2011, 16(10): 4134-4145.
[8]KURVINEN E, SOPANEN J, MIKKOLA A.Ball bearing model performance on various sized rotors with and without centrifugal and gyroscopic forces[J].Mechanism and Machine Theory, 2015, 90: 240-260.
[9]TOMOVIC R, MILTENOVIC V, BANIC M, et al.Vibration response of rigid rotor in unloaded rolling element bearing[J].International Journal of Mechanical Sciences, 2010, 52(9): 1176-1185.
[10]刘静, 吴昊, 邵毅敏, 等.考虑内圈挡边表面波纹度的圆锥滚子轴承振动特征研究[J].机械工程学报,2018, 54(8): 26-34.
LIU Jing, WU Hao, SHAO Yimin, et al.Investigation for vibrations of tapered roller bearing considering the surface waviness on the rib of the inner race[J].Journal of Mechanical Engineering, 2018, 54(8): 26-34.
[11]路遵友, 吕延军, 李莎, 等.考虑热弹性变形和表面粗糙度的圆柱滚子轴承热弹流润滑分析[J].机械工程学报, 2018, 54(13): 159-169.
LU Zunyou, L Yanjun, LI Sha, et al.Thermal elastohydrodynamic lubrication analysis of cylindrical roller bearing considering thermal elastic deformation and surface roughness[J].Journal of Mechanical Engineering, 2018, 54(13): 159-169.
[12]刘永强,王宝森, 杨绍普.含外圈故障的高速列车轴承转子系统非线性动力学行为分析[J].机械工程学报, 2018, 54(8): 17-25.
LIU Yongqiang, WANG Baosen, YANG Shaopu.Nonlinear dynamic behaviors analysis of the bearing  rotor system with outer ring faults in the high-speed train[J].Journal of Mechanical Engineering, 2018, 54(8): 17-25.
[13]童宝宏, 刘颖, 苏荭.滚动轴承动态接触特性数值模拟中若干问题[J].机械工程学报, 2012, 48(21):116-123.
TONG Baohong, LIU Ying, SU Hong.Some issues in numerical simulation of dynamic contacting nature of roller bearing[J].Journal of Mechanical Engineering, 2012, 48(21):116-123.
[14]SKF Group, http:∥www.skf.com [EB/OL] [2018]
[15]JOSHI P R. An elastic contact theory for modeling vibration transmissibility through rolling contact bearings[D].Cincinnati: University of Cincinnati, 2004.
[16]GUNDUZ A, SINGH R.Stiffness matrix formulation for double row angular contact ball bearings: Analytical development and validation [J].Journal of Sound and Vibration, 2013, 332(22): 5898-5916.
[17]SHENG X, LI B, WU Z, et al.Calculation of ball bearing speed-varying stiffness[J].Mechanism and Machine Theory, 2014, 81: 166-180.
[18]VIJAYAKAR S.A combined surface integral and finite-element solution for a 3-dimensional contact problem[J].International Journal for Numerical Methods in Engineering, 2010, 31(3): 525-545.
PDF(3085 KB)

358

Accesses

0

Citation

Detail

Sections
Recommended

/