Abstract：A dynamic model of bending-torsion coupling for gear-rotor-rolling bearing system was developed, in which the dynamic backlash, tooth face friction, gear eccentricity and time-varying mesh stiffness were considered. The coupling relationship between the bearing end and the gear vibration was investigated by analyzing the effect of dynamic backlash and the bearing clearance. The results reveal that when comparing with the no backlash system, the radial vibration of the bearing end with dynamic backlash is much stronger in high speed zone, while the amplitude of torsional vibration is greater in the whole speed range. The dynamic backlash system enters into the main resonance region in advance by nonlinear jump. The change of the dynamic backlash has little effect on the vibration of the bearing end, but obvious for the torsional vibration; The size of bearing clearance has significant influence on the radial and torsional vibration of the system. With the change of bearing clearance, the time-domain characteristic and spectrum of the two kind of variation vary regularly. Moreover, the bearing clearance directly affects the size of the dynamic backlash. The conclusions have important theoretical and engineering values gear rotor systems with clearances.
向玲,贾轶,高雪媛,邸薇薇,李媛媛. 间隙对齿轮-转子-轴承系统弯扭耦合振动的影响分析[J]. 振动与冲击, 2016, 35(21): 1-8.
XIANG Ling JIA Yi GAO Xueyuan DI Weiwei LI Yuanyuan . Analysis of the effect of the backlash on the vibration of bending-torsion coupling gear-rotor-rolling bearing system. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(21): 1-8.
[1] Kahraman A, Singh R. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system[J]. Journal of Sound & Vibration, 1991, 146(1):135–156.
[2] Kahraman A, Singh R. Non-linear dynamics of a geared rotor-bearing system with multiple clearances[J]. Journal of Sound & Vibration, 1991, 144(3):469-506.
[3] Moradi H, Salarieh H. Analysis of nonlinear oscillations in spur gear pairs with approximated modelling of backlash nonlinearity[J]. Mechanism and Machine Theory, 2012, 51: 14-31.
[4] Li S, Kahraman A. A tribo-dynamic model of a spur gear pair[J]. Journal of Sound and Vibration, 2013, 332(20): 4963-4978.
[5] Farshidianfar A, Saghafi A. Bifurcation and Chaos Prediction in Nonlinear Gear Systems[J]. Shock and Vibration, 2014, 2014.
[6] 高洪波, 李允公, 刘杰. 基于动态侧隙的齿轮系统齿面磨损故障动力学分析[J]. 振动与冲击, 2014, 33(18): 221-226.
GAO Hong-bo, LI Yun-gong, LIU Jie. Dynamic analysis of a spur gear system with tooth-wear faults based on dynamic backlash[J]. Journal of Vibration and Shock, 2014, 33(18): 221-226.
[7] 李朝峰, 周世华, 刘文明, 等. 齿轮-转子-滚动轴承传动系统的弯扭耦合振动[J]. 航空动力学报, 2014, 29(7): 1543-1555.
LI Chao-feng, ZHOU Shi-hua, LIU Wen-ming et al. Vibration of bending-torsion coupling gear-rotor-rolling bearing transmission system[J]. Journal of Aerospace Power, 2014, 29(7): 1543-1555.
[8] Buckingham E. Analytical mechanics of gears[M]. Courier Corporation, 1988.
[9] Tian X. Dynamic simulation for system response of gearbox including localized gear faults[M]. Library and Archives Canada= Bibliothèque et Archives Canada, 2005.
[10] Chaari F, Fakhfakh T, Haddar M. Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness[J]. European Journal of Mechanics-A/Solids, 2009, 28(3): 461-468.
[11] Sawalhi N, Randall R B. Simulating gear and bearing interactions in the presence of faults: Part I. The combined gear bearing dynamic model and the simulation of localised bearing faults[J]. Mechanical Systems and Signal Processing, 2008, 22(8): 1924-1951.
