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首页> 外文期刊>Journal of Vibration and Acoustics >Effect of Thrust Magnetic Bearing on Stability and Bifurcation of a Flexible Rotor Active Magnetic Bearing System
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Effect of Thrust Magnetic Bearing on Stability and Bifurcation of a Flexible Rotor Active Magnetic Bearing System

机译：推力电磁轴承对挠性转子主动电磁轴承系统稳定性和分叉的影响

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摘要

This paper is concerned with the effect of a thrust active magnetic bearing (TAMB) on the stability and bifurcation of an active magnetic bearing rotor system (AMBRS). The shaft is flexible and modeled by using the finite element method that can take the effects of inertia and shear into consideration. The model is reduced by a component mode synthesis method, which can conveniently account for nonlinear magnetic forces and moments of the bearing. Then the system equations are obtained by combining the equations of the reduced mechanical system and the equations of the decentralized PID controllers. This study focuses on the influence of nonlinearities on the stability and bifurcation of T periodic motion of the AMBRS subjected to the influences of both journal and thrust active magnetic bearings and mass eccentricity simultaneously. In the stability analysis, only periodic motion is investigated. The periodic motions and their stability margins are obtained by using shooting method and path-following technique. The local stability and bifurcation behaviors of periodic motions are obtained by using Floquet theory. The results indicate that the TAMB and mass eccentricity have great influence on nonlinear stability and bifurcation of the T periodic motion of system, cause the spillover of system nonlinear dynamics and degradation of stability and bifurcation of T periodic motion. Therefore, sufficient attention should be paid to these factors in the analysis and design of a flexible rotor system equipped with both journal and thrust magnetic bearings in order to ensure system reliability.
机译：本文关注的是推力主动磁轴承（TAMB）对主动磁轴承转子系统（AMBRS）的稳定性和分叉的影响。轴是柔性的，并通过使用有限元方法建模，可以考虑惯性和剪切力的影响。通过组件模式综合方法可以简化模型，该方法可以方便地考虑轴承的非线性磁力和力矩。然后，通过组合简化的机械系统的方程和分散的PID控制器的方程来获得系统方程。这项研究集中于非线性对AMBRS的T周期运动的稳定性和分叉的影响，同时受到轴颈和推力主动磁轴承的影响以及质量偏心率。在稳定性分析中，仅研究周期性运动。利用射击方法和路径跟踪技术获得了周期运动及其稳定裕度。利用Floquet理论获得了周期运动的局部稳定性和分叉行为。结果表明，TAMB和质量偏心率对系统的T周期运动的非线性稳定性和分岔有很大的影响，引起系统非线性动力学的外溢和T周期运动的稳定性和分岔的降低。因此，在分析和设计同时装有轴颈轴承和推力磁性轴承的挠性转子系统时，应充分考虑这些因素，以确保系统的可靠性。

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