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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
Nonlinear Dynamic Response Analysis of Rotor-Ball Bearing System Including Unbalance-Rubbing-Looseness Coupling Faults
【作者】 陈果;
【Author】 CHEN Guo (College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China)
【机构】 南京航空航天大学民航学院;
【摘要】 建立了滚动轴承支承下的转子系统的不平衡-碰摩-基础松动耦合故障动力学模型。在滚动轴承模型中,充分考虑了滚动轴承间隙、滚动轴承的滚珠与滚道的非线性赫兹接触力以及由滚动轴承支撑刚度变化而产生的VC(Varying compliance)振动,在转子系统中,综合考虑了转子系统通常存在的不平衡、转静碰摩以及基础松动故障的耦合振动。运用数值积分方法获取了系统的非线性动力响应,分析了转子旋转速度、滚动轴承间隙、碰摩刚度、转子偏心量及轴承座质量对系统动力响应的影响,并运用分叉图、相平面图、频谱图以及Poincaré映射进行了系统分叉与混沌特征分析,发现了含不平衡、碰摩及基础松动耦合故障的转子-滚动轴承系统的非线性动力响应规律。
【Abstract】 An unbalance-rubbing-looseness coupling faults dynamic model for rotor supported on ball bearing is established. In the model of ball bearing, three nonlinear factors are considered, such as the clearance of bearing, nonlinear Hertzian contract force between balls and races, and the varying compliance vibration because of periodical variety of contact position between balls and races; in the model of rotor, the faults such as mass unbalance, rubbing, and looseness of bearing house are considered synthetically. The numerical integral method is used to obtain nonlinear dynamic responses, the effects of rotating speed, the bearing clearance, rubbing stiffness, rotor eccentricity, and the mass of bearing house on dynamic responses are analyzed, and the bifurcation plot, phase plane plot, frequency spectrums, and Poincaré map are used to carry out the analysis of bifurcation and chaos motion, and the important nonlinear law of unbalance-rubbing-looseness coupling faults for rotor supported on ball bearing is found out.
【Key words】 rotor dynamics; ball bearing; mass-unbalance; rubbing; looseness of bearing house;
- 【会议录名称】 第九届全国振动理论及应用学术会议论文集
- 【会议名称】第九届全国振动理论及应用学术会议暨中国振动工程学会成立20周年庆祝大会
- 【会议时间】2007-10-17
- 【会议地点】中国浙江杭州
- 【分类号】TH133.33
- 【主办单位】中国力学学会、中国振动工程学会、中国航空学会、中国机械工程学会、中国宇航学会