Nonlinear Dynamic Analysis of a Rotor Supported on the Ball Bearings with Squeeze Film Dampers
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摘要: 为了研究转子系统非线性动力学响应,建立了挤压油膜阻尼器-滚动轴承-转子耦合系统动力学模型。在转子系统模型中,考虑了转子、滚动轴承及挤压油膜阻尼器之间的相互耦合作用,并充分考虑了滚动轴承的间隙、非线性赫兹接触和挤压油膜阻尼器非线性油膜力等。运用数值积分方法分析了转子转速、支承刚度以及挤压油膜阻尼器油膜间隙对系统动力响应的影响,并结合分岔图、频谱图、Poincaré映射图和轴心轨迹图分析了转子系统的非线性动力学响应。结果表明:转子系统当转速较高、支承刚度较大或挤压油膜阻尼器油膜间隙较大时,转子系统容易出现拟周期运动。Abstract: In order to analyze the nonlinear dynamic response of rotor system, the dynamic model is established forthe rotor supported on the ball bearings with squeeze film dampers (SFD).In the present model, the couplingeffect of rotor, ball bearing and squeeze film damper was considered.For the model of ball bearings, the clearancesof bearings and the nonlinear Hertzian contract force between balls and races were considered, and for the model ofSFD, the nonlinear force of the film was considered.Then the rotor system response was obtained by the numericalintegral method.The influence were analyzed by using bifurcation diagrams, spectrum plot, Poincaré map andwhirl orbit for the nonlinear dynamic response of rotor caused by different rotating speed, stiffness of the supportingand the clearance of the SFD.The results show that the system of rotor will appear quasi-periodic motion more possibly with the higher speed, the bigger support stiffness and clearance of the SFD.
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Key words:
- nonlinear systems /
- dynamics /
- bearings(machine parts) /
- rotors
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