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BIFURCATION ANALYSIS OF A ONE DOF ROTOR ON ELECTROMAGNETIC BEARINGS

机译:电磁轴承上一自由度转子的分叉分析

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摘要

This paper considers a one degree of freedom rotor supported on an electromagnetic bearing in a feedback control loop. A nonlinear model of an electromagnetic bearing is developed and a nondimensional model is derived for the system with two distinct parameters corresponding to the controller gain and the static load. Nonlinear analysis is carried out as a function of these two parameters and bifurcation diagrams are derived. The results reveal a very interesting panoply of fixed points with varying stability conditions. Numerical simulations are carried out to confirm the results of nonlinear analysis. Practical implications of the nonlinear analysis results are discussed.
机译:本文考虑了一个在反馈控制回路中支撑在电磁轴承上的单自由度转子。开发了电磁轴承的非线性模型,并针对具有两个与控制器增益和静态负载相对应的不同参数的系统,推导了该系统的无量纲模型。根据这两个参数进行非线性分析,并得出分叉图。结果揭示了一个非常有趣的固定点,具有不同的稳定性条件。进行数值模拟以确认非线性分析的结果。讨论了非线性分析结果的实际意义。

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