阻尼对摩擦力作用下转子系统弯扭耦合振动特性的影响

摘要

通过采用Lagrange方程推导出不平衡转子系统弯扭耦合非线性振动的动力学微分方程组，应用数值方法分析了在摩擦力作用下转子系统的弯扭耦合振动特性。最终通过对分叉图、三维谱图、时域曲线图、相图和Poincaré截面的分析，得到了摩擦力作用下转子系统中蕴含的各种复杂非线性动力学行为，并分析转子系统阻尼比对系统动态响应特性的影响。所揭示的振动特性为转子系统的状态识别、诊断和安全经济运行提供一定的理论依据。%A coupled bending and torsion nonlinear dynamics model of rotor-bearing system was presented.The equations of unbalance rotor were established by the Lagrange approach and the coupled vibration characteristics of the rotor system under rub-impact was analyzed through numerical calculation.The bifurcation diagrams,waterfall plots,time domain charts,phase phane portraits and Poincaré maps were obtained to analyze dynamic characteristics of the system and the results reveal the multiform complex nonlinear dynamic behavior of the rotor-bearing system under rub-impact. Moreover,the influence of the damping ratio on vibrations of the rotor system was analyzed.These analysis results provide theoretical bases for the rotor system’s status recognition,diagnosis as well as safe and economic operation.