电磁力控制柔性转子系统的稳定性和响应研究

该文对电磁力控制柔性转子系统的稳定性和响应进行了研究，推导了非线性电磁力与转子位移和线圈组电流的关系式，提出了描述电磁力动态特性的特征函数，以及提出将扰动法和ＲＯＵＴＨ－Ｈｕｒｗｉｔｚ理论相结合分析转子系统稳定性的方法。

STABILITY ANALYSIS AND RESPONSE CONTROL OF A FLEXIBLE ROTOR SYSTEM WITH ELECTROMAGNETIC FORCES

The shafts of many modern rotating machines have usually been designed into supercritical flexible shafts. The vibrations induced by various perturbations during operation may cause large amplitude displacements relative to the support structure, and/or give rise to system instability, even to major accidents. An important remedy is to place an aetive control force in the proper location of the shaft. The stability analyais and response control of a rotor system with electromagnetic forces are investigated in this paper. The fmulas of magnetic forces with respect to the displacement of the journal center and coil current are derived. The eigenfunotions to describe the dynamie characteristic of electromagnetic forces are presented to analyze the stability of the system. The minimum setting values of controller and the relationship between the locations of the assigned sensor and actuator are given by using the perturbation method and the Rouge-Hurwitz theory on condition that the stability is satisfied. The experiment of active vibration control of a rotor system of unbalance mass has been made using an olectromagnetic actuator. The results illustrste the efficieney of the present analysis and the effect of vibration reduction.