Nonlinear dynamics of a rotor-ball bearing system with misalignment-rubbing coupled faults
ZHEN Man1,2, SUN Tao1, TIAN Yongsheng1, ZHANG Hualiang1,2, TAN Chunqing1,2
1. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China;
2. University of Chinese Academy of Sciences, Beijing 100049, China
Abstract:In order to obtain the dynamic characteristics of rotor system under misalignment-rubbing coupling fault, the nonlinear dynamic differential equation of rolling bearing rotor system under holonomic constraints was established by Lagrangian undetermined multiplier method. The dynamic response of the system under misalignment-rubbing coupling fault was studied by Runge-Kutta numerical method. Time domain diagram, axis orbit diagram, bifurcation diagram, Poincare section diagram and FFT spectrum were used to analyze the effects of misalignment, rubbing stiffness and clearance on the vibration response of the rotor. The analysis results show that the misalignment increase will increase the vibration response of the system with 1-octave,and produce even-octave such as 2-fold and 4-fold, and the combined frequency response with VC (varying compliance) frequency at the same time. At low speed, the rubbing stiffness and clearance have little influence on the rotor system; at high speed,smaller rubbing stiffness and larger rubbing clearance would alleviate the nonlinear behavior of the system.
甄满1,2,孙涛1,田拥胜1,张华良1,2,谭春青1,2. 滚动轴承转子系统不对中-碰摩耦合故障非线性动力学分析[J]. 振动与冲击, 2020, 39(7): 140-147.
ZHEN Man1,2, SUN Tao1, TIAN Yongsheng1, ZHANG Hualiang1,2, TAN Chunqing1,2. Nonlinear dynamics of a rotor-ball bearing system with misalignment-rubbing coupled faults. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(7): 140-147.
[1].万召,荆建平,孟光,等. 弹性联轴器不对中转子-轴承系统的非线性动力特性及稳定性研究[J]. 振动与冲击,2012, 31(24): 20-25.
WANZhao, JINJian-ping, MENGGuang, et al. Nonlinear dynamic behaviors and stability of arotor-bearing system with flexible coupling misalignment [J]. Journal of Vibration and Shock, 2012, 31(24): 20-25.
[2]李凌轩,姚红良,刘子良,等. 螺纹联轴器的建模及其不对中故障研究[J]. 振动、测试与诊断,2014,34(4):631-637.
[3]LILing-xuan, YAOHong-liang, LIU Zi-liang, et al. Modeling of the threaded coupling and research on misalignment failure of rotor system [J]. Journal of Vibration, Measurement and Diagnosis, 2014, 34(4): 631-637.Sarkar S, Nandi A, Neogy S, et al. Finite element analysis of misaligned rotors on oil-film bearings[J]. Sadhana, 2010, 35(1): 45-61.
[4]Lee Y S, Lee C W. Modelling and Vibration Analysis of Misaligned Rotor-Ball Bearing Systems[J]. Journal of Sound and Vibration, 1999, 224(1): 17-32.
[5]Lees A W. Misalignment in rigidly coupled rotors[J]. Journal of Sound and Vibration, 2007, 305(1/2/7): 261-271.
[6]Bouaziz S , Hili M A , Mataar M , et al. Dynamic behaviour of hydrodynamic journal bearings in presence of rotor spatial angular misalignment[J]. Mechanism & Machine Theory, 2009, 44(8):1548-1559.
[7]李明,李自刚,张莹博. 具有平行不对中故障的非对称柔性发电机转子系统非线性动力学研究[J]. 中国电机工程学报,2012,32(5):111-118.
LIMing, LI Zi-gang, ZHANG Bo-ying. Non-linear dynamics of unsymmetrical generator rotor systems with parallel misalignment [J]. Proceedings of the CSEE, 2012, 32(5): 111-118.
[8]Desmidt H A, Wang K W, Smith E C. Coupled Torsion-Lateral Stability of a Shaft-Disk System Driven Through a Universal Joint[J]. Journal of Applied Mechanics, 2002, 69(3): 261-273.
[9]Al-Hussain K M. Dynamic stability of two rigid rotors connected by a flexible coupling with angular misalignment[J]. Journal of Sound and Vibration, 2003, 266(2): 217-234.
[10]Thomas P. Hebert. Vibration response of misaligned rotors[J]. Journal of Sound and Vibration, 2009, 325(3): 609-628.
[11]Sekhar A S, Prabhu B S. Effects of coupling misalignment on vibrations of rotating machinery[J]. Journal of Sound and Vibration, 1995, 185(185): 655-671.
[12]Li Z G, Jiang J, Tian Z. Stochastic Dynamics of a Nonlinear Misaligned Rotor System Subject to Random Fluid-induced Forces[J]. Journal of Computational and Nonlinear Dynamics, 2017, 12(4): 1-13.
[13]Pennacchi P, Vania A, Chatterton S. Nonlinear effects caused by coupling misalignment in rotors equipped with journal bearings[J]. Mechanical Systems and Signal Processing, 2012, 30(7): 306-322.
[14]肖汉,周建中,肖剑,等. 滑动轴承-转子系统不平衡-不对中-碰摩耦合故障动力学建模及响应信号分解[J]. 振动与冲击,2013,32(23):159-165.
XIAO Hna, ZHOU Jian-zhong, XIAO Jian, et al. Dynamic modeling and response signal decomposition for a slidingbearing-rotor system with unbalance-misalignment-rubbing coupled faults [J]. Journal of Vibration and Shock, 2013, 32(23): 159-165.
[15]张俊红,马梁,马文朋,等. 基于弹流润滑转子-滚动轴承系统碰摩-不对中耦合故障的动力学分析[J]. 航空动力学报,2014,29(8):1940-1952.
ZHANG Jun-hong, MA Liang, MA Wen-peng, et al. Dynamic analysis of rotor-ball bearings system based on elasto-hydrodynamic lubrication with rubbing-misalignment coupling fault [J]. Journal of Vibration and Shock, 2013, 32(23): 159-165.
[16]1刘杨,李炎臻,石拓,等. 转子-滑动轴承系统不对中-碰摩耦合故障分析[J]. 机械工程学报,2016, 52(13): 79-86.
LIUYang, LI Yan-zhen, SHI Tuo, et al. Study on misalignment-rubbing coupling fault of rotor system supported by oil film force [J]. Journal of Mechanical Engineering, 2016, 52(13): 79-86.
[17]Fu X Q, Jia W T, Xu H, et al. Imbalance–misalignment–rubbing coupling faults in hydraulic turbine vibration[J]. Optik, 2016, 127(8): 3708-3712.
[18]Huang Z, Zhou J, Yang M, et al. Vibration characteristics of a hydraulic generator unit rotor system with parallel misalignment and rub-impact[J]. Archive of Applied Mechanics, 2011, 81(7): 829-838.
[19]Patel T H, Darpe A K. Experimental investigations on vibration response of misaligned rotors[J]. Mechanical Systems and Signal Processing, 2009, 23(7): 2236-2252.
[20]陈果.含不平衡-碰摩-基础松动耦合故障的转子-滚动轴承系统非线性动力响应分析[J]. 振动与冲击,2008,27(9):100-104.
CHEN Guo. Nonlinear dynamic response analysis of rotor-ball bearing system including unbalance-rubbing-looseness