非线性刚度碰摩转子系统的分岔与混沌演化  

BIFURCATION AND ROUTES TO CHAOS FOR A RUB-IMPACT ROTOR SYSTEM WITH NONLINEAR RIGIDITY

作　　者：张永祥[1] 惠淑荣[1] 孔贵芹 

机构地区：[1]沈阳农业大学理学院,辽宁沈阳110161 [2]中国船舶工业第六三五四研究所,山西九江332000

出　　处：《机械强度》2009年第1期24-27,共4页Journal of Mechanical Strength

基　　金：沈阳农业大学青年教师科研基金(2006212)资助

摘　　要：建立一类具有非线性刚度的局部碰摩转子系统模型,用数值积分和Poincaér映射方法研究该系统随不平衡量和刚度比参数变化的分岔与混沌演化过程。通过分岔图、Poincaré映射图揭示该系统存在Neimark-sacker分岔、倍周期分岔、锁相、阵发性切分岔等非线性动力学行为,研究结果揭示碰摩转子系统中一些复杂的非线性现象,为转子系统的故障诊断、振动控制、安全运行及早期预测提供理论参考。The dynamical model of the nonlinear rigidity-rotor system with nlbbing fault is established. The bifurcation and chaotic routes of this system with rotor-to-stator rub-impact are investigated by using Poincaré maps and numerical integral method, as ratio of nonbalance and stiffness ratio vary. The results discover rich nonlinear dynamical behaviors such as Neimark-sacker bifurcation, period-doubling bifurcation, phase lock and explosive bifurcation etc., which may provide theory references to fault diagnoses, vibration control, safety operating and enable early prediction of the fault in rotating machinery.

关 键 词：碰摩转子系统 非线性刚度 分岔 混沌 POINCARÉ映射 

分 类 号：O322[理学—一般力学与力学基础]