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首页> 外文期刊>International journal of nonlinear sciences and numerical simulation >Investigation on the Nonlinear Response of a Balanced Flexible Rotor-bearing System
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Investigation on the Nonlinear Response of a Balanced Flexible Rotor-bearing System

机译：平衡柔性转子轴承系统的非线性响应研究

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摘要

A nonlinear model for a balanced flexible rotor-bearing system is developed to analyze the dynamics of nonlinear rotor-bearing system. A continuation algorithm in conjunction with the Newton iteration and the shooting method respectively are applied to calculate the branches of the equilibrium solutions and periodic solutions of the system. The Hopf bifurcation and the post Hopf bifurcation behaviors of a specific balanced flexible rotor-bearing system are investigated. The results show that the supercritical Hopf bifurcation occurs. Analysis and comparison between the frequencies of periodic solutions and the eigen-frequencies of the system reveal that the model enables the mechanism identification of the self-excitation of oil film force. Moreover, by the aid of the bifurcation diagrams, Poincare maps and Lyapunov exponents, the bifurcations of periodic solutions, chaos and the route to and out of chaos in a balanced rotor-bearing system are revealed,
机译：建立了平衡柔性转子-轴承系统的非线性模型，以分析非线性转子-轴承系统的动力学。分别结合牛顿迭代法和射击法，采用连续算法计算系统的平衡解和周期解的分支。研究了特定的平衡柔性转子轴承系统的Hopf分叉和Hopf分叉后的行为。结果表明发生了超临界霍普夫分叉。对周期解频率与系统本征频率的分析比较表明，该模型能够识别油膜力的自激机理。此外，借助分叉图，庞加莱图和Lyapunov指数，揭示了平衡转子轴承系统中周期解，混沌以及进出混沌的路径的分岔，

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