摘要
文章以线性项和立方项之和来表示转轴材料的物理非线性因素,建立了考虑非线性油膜力的非线性刚度轴转子系统的动力学模型,利用数值积分法对转子系统由于局部碰摩故障导致的非线性动力学行为进行了研究,发现此类非线性振动系统具有倍周期分岔、拟周期和混沌等复杂的动力学行为,为此类系统的安全运行和有效识别转子故障提供了理论参考。
The dynamic model of nonlinear rigidity-rotor system with rubbing fault was set up by taking the linearity and cube item as the physics nonlinear factors. The nonlinear dynamic behaviors of the system caused by rubbing fault were studied by using the numerical value integral and Poincarg mapping methods. The bifurcation diagram and maximal Lyapunov exponent curves of the response were given fol- lowing the changing of fiequency ratio. Some typical Poincarg maps, phase plane portraits, time-history, trajectory of journal centers and amplitude spectra ets were also given. There are doubling-periods, approximate-periods and chaos behaviors in the rotor system.
出处
《机械设计与制造》
北大核心
2007年第7期43-45,共3页
Machinery Design & Manufacture
关键词
转子
非线性刚度
碰摩
分岔
混沌
Rotor
Nonlinear rigidity
Rubbing
Bifurcation
Chaos