流体动压轴承-转子动力系统的分岔和混沌  

Bifurcation and Chaos of Hydrodynamic Bearing-Rotor Dynamical System

作　　者：吕延军[1] 张永芳[2] 姜明[1] 方英武[3] 乔卫东[1] 李旗[1] 杨世强[1] 

机构地区：[1]西安理工大学机械与精密仪器工程学院,陕西西安710048 [2]西北工业大学电子信息学院,陕西西安710072 [3]空军工程大学电讯工程学院,陕西西安710077

出　　处：《润滑与密封》2007年第1期43-47,151,共6页Lubrication Engineering

基　　金：西安理工大学科技创新与特色研究计划项目(102-210514)

摘　　要：运用非线性动力学现代理论对一流体动压轴承-柔性转子非线性动力系统进行研究。以转速作为系统控制参数,将预估-校正机制、Poincaré映射和Newton打靶法相结合形成一种周期解预测跟踪算法,运用该方法研究了系统的非线性不平衡周期响应及其分岔点;运用Floquet稳定性分岔理论研究了系统周期响应的稳定性和分岔形式;运用FFT、功率谱、Lyapunov指数谱分析了系统响应的瞬态混沌现象。数值结果展现了系统具有周期、拟周期、多解共存、跳跃、瞬态混沌等丰富复杂的非线性现象。A dynamical model of nonlinear hydrodynamic bearing-flexible rotor system was analyzed by applying modern nonlinear dynamics theory. A method consisting of predictor-corrector mechanism, Poincar6 map and Newton shooting method was proposed to calculate bifurcation points and nonlinear unbalance periodic responses, when rotational speed is assigned as the control parameter of the system. The stability and the type of the bifurcation of the periodic motions were determined by Floquet theory. Transient chaotic motion was analyzed with FFF, power spectrum and Lyapunov exponent spectrum. The numerical results reveal periodic, quasi-periodic, co-existing solutions, jumped,transient chaos of rich and complex nonlinear behaviors of the system.

关 键 词：油润滑 非线性 轴承-转子系统 分岔 瞬态混沌 

分 类 号：TH113.1[机械工程—机械设计及理论] TH113.3