考虑油膜力-碰摩力耦合的双盘转子系统动力学行为  

Dynamic behavior of a double-disc rotor system considering oil film force-impact force coupling

作　　者：覃泽锋 石慧荣[1] 侍玉青 QIN Ze-feng;SHI Hui-rong;SHI Yu-qing(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Key Laboratory of System Dynamics and Reliability of Rail Transportation Equipment of Gansu Province,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070 [2]甘肃省轨道交通装备系统动力学与可靠性重点实验室,兰州730070

出　　处：《兰州交通大学学报》2020年第1期95-100,共6页Journal of Lanzhou Jiaotong University

摘　　要：考虑非线性油膜力-碰摩力耦合的双盘转子-轴承系统动力学模型.采用四阶Runge-Kutta法对该系统进行数值求解,结合相图、poincaré映射图、分岔图、最大碰摩力图,着重分析了转速和润滑油粘度的变化对系统响应及稳定性的影响.结果表明:不同转速下系统会出现多周期、概周期、混沌等复杂动力学行为.在低转速下,系统经历Hopf分岔进入概周期运动;中速阶段,系统会产生阵发性混沌运动,并历经逆倍周期分岔及Neimark-Sacker分岔进入概周期运动.润滑油粘度的增大,能够提高系统的稳定性,降低转子与定子间的最大碰摩力,使阵发性混沌区域逐渐后移且缩小.Considering the coupling of non-linear oil film force and rubbing force,a dynamic model of rotor-bearing system with two discs was established.The fourth-order Runge-Kutta numerical method was used to solve the model,So as to study the effects of rotating speed and viscosity of the lubricant on the response,instability of the system by using phase diagram,poincarémap,bifurcation diagram and maximum rubbing force diagram.Results show that when the rotating speed changes,complex dynamic behaviors would occur to the system,such as multiple periodic,quasi-periodic and chaotic motions.Under low rotating speed,system would evolve from Hopf bifurcation to quasi-periodic motion.Under medium rotating speed,paroxysmal chaotic motion would occur to the system,and the system would evolve from inverse double period bifurcation and Neimark-Sacker bifurcation to quasi-periodic motion.Increasing the viscosity of the lubricant would improve the stability of the system,reduce the maximum rubbing force between the rotor and the stator,so that the paroxysmal chaotic area would gradually move backward and shrink.

关 键 词：转子 碰摩 非线性油膜力 分岔 混沌 润滑油粘度 

分 类 号：TH177[机械工程—机械制造及自动化]