间隙对齿轮-转子-轴承系统弯扭耦合振动的影响分析  

Effects of backlash on bending-torsion coupled vibration of a gear-rotor bearing system

作　　者：向玲[1] 贾轶[1] 高雪媛 邸薇薇 李媛媛[1] 

机构地区：[1]华北电力大学机械工程系,保定071003

出　　处：《振动与冲击》2016年第21期1-8,35,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51475164)

摘　　要：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。A dynamic model for bending-torsion coupled vibration of a gear-rotor-bearing system was developed considering dynamic backlash,tooth face friction,gear eccentricity and time-varying mesh stiffness.The coupled vibration relationship between bearing end and gear end was investigated by analyzing effects of dynamic backlash and bearing clearance on the system.The results showed that compared with a system without backlash,the radial vibration of the bearing end of the system with dynamic backlash is stronger within a high rotating speed zone,while the amplitude of the gear torsional vibration is larger within the whole rotating speed range;the system with dynamic backlash enters the main resonance region in advance through nonlinear jump;the change of dynamic backlash has little effect on the vibration of bearing end,but it has an obvious effect on the gear torsional vibration;the magnitude of bearing clearance has a significant influence on the radial and torsional vibrations of the system;with the variation of bearing clearance,the time-domain characteristics and frequency spectra of two vibrations vary regularly;moreover,the bearing clearance directly affects the magnitude of dynamic backlash.The results had important theoretical and engineering values for studying gearrotor systems with clearances.

关 键 词：动态侧隙 弯扭耦合 轴承间隙 偏心 啮合刚度 

分 类 号：TH113[机械工程—机械设计及理论]