摘要
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和非线性刚度的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。
Dynamic model of nonlinear rigidity-rotor system with rubbing fault was set up by taking the linear and cube items as the physically nonlinear factors. The nonlinear dynamic behaviors of the system caused by rubbing fault were investigated with numerical integral and Poincare mapping methods. The bifurcation diagram and maximal Lyapunov exponent curves of the response were given following the changed frequency ratio. Some typical Poincar6 maps, phase plane portraits, time-history, trajectory of journal centers and amplitude spectra etc. were also proposed to show the period-doubling, quasi-periodic and chaos behaviors in the rotor system.
出处
《应用力学学报》
EI
CAS
CSCD
北大核心
2005年第3期475-478,共4页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金资助项目(59835050)
关键词
转子
非线性刚度
碰摩
分岔
混沌
rotor,nonlinear rigidity,rubbing,bifurcation,chaos.
