Research on the response characteristics of a rotor-bearing system with double-frequency time-varying bearing stiffness
ZHANG Xue-ning1，HAN Qin-kai2，CHU Fu-lei2
1. AVIC Academy of Aeronautic Propulsion Technology, Beijing 101304, China;
2. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
Abstract：Considering the time-varying bearing stiffness due to the finite number of balls and unbalanced force, a three-degree-of-freedom rotor-bearing system is set up. Referring to the frequency distribution characteristics of the response for the single-frequency parametrically excited system, the frequency constitution characteristics of the response for the double-frequency parametrically excited system is pointed out. In the free response, the frequencies are the combinations of the equivalent natural frequency with the two parametric frequencies respectively and the combinations of the equivalent natural frequency with the parametric frequencies simultaneously. In the forced response, besides the frequencies emerged in the free response, there are still the combinations of the excitation frequency with the parametric frequencies respectively and the combinations of the excitation frequency with the parametric frequencies simultaneously. In addition, the harmonics response and the response corresponding to the parametric frequencies and its frequency doubling can also be explained reasonably. These conclusions contribute to the deep understanding of the frequency-domain characteristics for the response of muti-frequency parametrically excited system. They also provide reference to the frequency identification for fault diagnostics of the rotating machinery.
张学宁1，韩勤锴2，褚福磊2. 含双频时变滚动轴承刚度的转子-轴承系统响应特征研究[J]. 振动与冲击, 2017, 36(13): 116-121.
ZHANG Xue-ning1，HAN Qin-kai2，CHU Fu-lei2. Research on the response characteristics of a rotor-bearing system with double-frequency time-varying bearing stiffness. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(13): 116-121.
[1] TIWARI M, GUPTA K, PRAKASH O. Dynamic response of an unbalanced rotor supported on ball bearings[J]. Journal of Sound and Vibration, 2000, 238(5): 757-779.
[2] HARSHA S P. Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings[J]. Journal of Sound and Vibration, 2006, 290(1): 65-100.
[3] HARSHA S P. Nonlinear dynamic analysis of rolling element bearings due to cage run-out and number of balls[J]. Journal of Sound and Vibration, 2006, 289(2): 360-381.
[4] RICHARDS J A. Analysis of periodically time-varying systems[M]. Berlin: Springer, 1983.
[5] HAN Q K, WANG J J, LI Q H. Spectral properties for the vibrational response of parametrically excited system[J]. Archive Applied Mechanics, 2010, 80(6): 671-685.
[6] HARRIS T A, KOTZALAS M N. Rolling bearing analysis [M]. Boca Raton: Taylor&Francis, 2007.
[7] ZHANG X N, HAN Q K, PENG Z K, 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.
[8] LEBLANC A, NELIAS D, CYRIL D. Nonlinear dynamic analysis of cylindrical roller bearing with flexible rings[J]. Journal of Sound and Vibration, 2009, 325(1): 145-160.
[9] 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 coupled force[J]. Journal of Vibration and Shock, 2008, 27(9): 100-104.
