Abstract
In this work, a finite element model of a multibearing rotor system is presented. The effects of rotary inertia, gyroscopic moments, internal viscous and hysteretic damping and shear deformations have been included. The characteristics of the fluid-film bearings are represented by eight stiffness and damping coefficients which are functions of Sommerfeld number. An optimal controller has been derived based on characteristics peculiar to rotor bearing systems which take into account the requirements for the free vibration and the persistent unbalance excitations. The controller uses as feedback signals, the states and the unbalance forces. A methodology of selecting the gains on the feedback signals has been presented based on separation of the signal effects: the plant states are the primary stimulates for stabilizing the rotor motion and augmenting system damping, while the augmented states representing the unbalanced forces are the primary stimulus for counteracting the periodically excited vibration. The results demonstrate that the proposed controller can significantly improve the dynamical behaviour of rotorbearing systems with regard to resonances and instabilities.
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