In any high-performance turbo-machinery, instabilities and damage are commonly occurring problems. This paper presents a fully-bladed flexible rotor and outlines the associated stability analysis. Starting with the complete energies and potentials for a rotating cantilever beam in a centrifugal force field, a system of equations is derived for the rotor. This later one is made of a hollow shaft supported by a set of bearings and modelled by an Euler-Bernoulli beam connected to a rigid disk having a rotational inertia. A full set of flexible blades is also modelled by Euler-Bernoulli beams clamped in the disk. The flexural vibrations of the blades as well as those of the shaft are considered. A stability detection method, bringing coalescence and loci separation phenomena to the fore, in case of an asymmetric rotor, is made in order to determine a parametric domain where turbo-machinery cannot encounter damage. Moreover, extensive parametric studies including for instance the length and the stagger angle of the blades are presented in order to obtain robust criteria for stable and unstable areas prediction. Finally, rotor/stator contact is introduced, first with a rigid casing and then with a flexible stator. The effect of the radial load acting on the blades when rubbing against a casing is considered.

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