Model and Stability Analysis of a Flexible Bladed Rotor

Lesaffre, N.; Sinou, J.-J.; Thouverez, F.

doi:https://doi.org/10.1155/IJRM/2006/63756

International Journal of Rotating Machinery

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Volume 2006 | Article ID 063756 | https://doi.org/10.1155/IJRM/2006/63756

Model and Stability Analysis of a Flexible Bladed Rotor

N. Lesaffre,¹J.-J. Sinou,¹and F. Thouverez¹

Received08 Apr 2005

Accepted07 Nov 2005

Published26 Feb 2006

Abstract

This paper presents a fully bladed flexible rotor and outlines the associated stability analysis. From an energetic approach based on the complete energies and potentials for Euler-Bernoulli beams, a system of equations is derived, in the rotational frame, for the rotor. This later one is made of a hollow shaft modelled by an Euler-Bernoulli beam supported by a set of bearings. It is 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. The evolution of the eigenvalues of this rotor, in the corotational frame, is studied. A stability detection method, bringing coalescence and loci separation phenomena to the fore, in case of an asymmetric rotor, is undertaken in order to determine a parametric domain where turbomachinery cannot encounter damage. Finally, extensive parametric studies including the length and the stagger angle of the blades as well as their flexibility are presented in order to obtain robust criteria for stable and unstable areas prediction.

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Copyright

Copyright © 2006 N. Lesaffre et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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