综合了动态侧隙、齿面摩擦、齿轮偏心及时变啮合刚度等因素，建立了齿轮-转子-滚动轴承系统的弯扭耦合非线性动力学模型，通过分析动态侧隙及轴承间隙对系统的影响来探究轴承端与齿轮端振动之间的耦合作用关系。结果表明：相对于无间隙系统，动态侧隙下轴承端的径向振动在高速区较为强烈，而齿轮的扭转振动在整个转速区幅度较大，随转速变化时系统提前通过非线性跳跃进入主共振区。动态侧隙的改变对轴承端的振动影响不大，但对扭振作用明显；轴承间隙的大小对系统径向和扭转振动有着显著影响，随着轴承间隙的变化，两者的时域特征及频谱存在着规律性的变化；另外，轴承间隙直接影响着动态侧隙的大小。分析结果对含间隙齿轮转子系统的研究具有重要的理论与工程价值。
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.
关键词
动态侧隙 /
弯扭耦合 /
轴承间隙 /
偏心 /
啮合刚度
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Key words
dynamic backlash /
bending-torsion coupling /
bearing clearance /
eccentricity /
mesh stiffness
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参考文献
[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.
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