Vibration and control of a flexible rotor supported by magnetic bearings. Control system analysis and experiments without gyroscopic effects.

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This paper is on the subject of active vibration control of flexible rotors supported by magnetic bearings. Using a finite element method for the mathematical model of flexible rotors, we have formulated the eigenvalue problem taking into account the interaction between the mechanical system of a flexible rotor and the electrical system of magnetic bearings and a controller. However, gyroscopic effects are disregarded in this paper for simplicity. We will be able to adapt this formulation to a general flexible rotor/magnetic bearing system. Controllability with and without collocation is discussed for the higher order flexible modes of the test rig. In conclusion, we have proposed that it is necessary to add new active control loops for the higher flexible modes even in the case of collocation. Then, it is possible to stabilize for the case of uncollocation by means of this method.

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