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建立了非线性油膜力作用下转子-轴承系统弯扭耦合振动的数学模型.采用Rugge-Kutta数值积分方法计算模拟了转子升速过程中弯曲振动和扭转振动的不平衡响应,得到了转子弯曲振动的三维谱图和分岔图.分析发现,转子的弯曲振动会发生倍周期和概周期等复杂的非线性动力学行为.通过与不考虑弯扭耦合作用的系统特性进行比较,指出在转子弯曲振动临界转速附近,弯扭耦合作用对转子弯曲振动特性影响最大.数值分析揭示了扭转振动随转速升高,振幅基本保持不变,频率减小,有助于更深入地认识转子-轴承系统的弯扭耦合振动特性.
The mathematical model of the torsional-torsional coupled vibration of the rotor-bearing system under nonlinear oil film forces was established. The unbalance response of bending vibration and torsional vibration was simulated by Rugge-Kutta numerical integration method. The rotor bending vibration Dimensional spectrum and bifurcation diagram of the rotor are analyzed.The results show that complex nonlinear dynamic behaviors such as double period and almost periodic period occur in the bending vibration of the rotor.Comparing with the system characteristics without considering the coupling between bending and torsion, Coupling effect of bending and torsion has the greatest influence on the bending vibration of the rotor near the vibration critical speed.The numerical analysis reveals that the torsional vibration increases with the rotation speed, the amplitude remains basically unchanged and the frequency decreases, which helps to better understand the rotor-bearing system Flexural and torsional coupling vibration characteristics.