Advanced rotor systems today consist of a lightweight rotor supported by radial active magnetic bearings. It has been shown in previous works that composite materials have high energy dissipation characteristics, mainly due to internal damping. In applications where the rotor speed is subcritical, this property is of low concern, whereas at supercritical speeds the effect of internal damping should not be ignored due to instability effects described in detail later. Therefore, it is essential that one must have a detailed understanding of the sources and effects of internal damping in these structures. This work addresses the application of Adaptive Disturbance Rejection control method to deal with the rotordynamic instability caused by internal damping and synchronous vibrations caused by mass imbalance in a rotor system operating at supercritical speed. The simulated system is a slim, flexible shaft represented by a 73-node finite element model. A detailed description of the problems and the strategies for addressing them are discussed.

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