An investigation of the fundamental aspects of flutter in mistuned turbomachinery rotors is presented. Perturbation methods are used to obtain asymptotic solutions to arbitrary order in the mistuning parameter. These solutions require only the knowledge of the eigensolution of the tuned system, and thus provide efficient formulas for calculating the effect of mistuning without solving a new eigenvalue problem. Numerical results presented for design parameters representative of fan rotors indicate that a critical reduced frequency exists, below which mistuning alone cannot stabilize the rotor. The sensitivity of the stability boundaries to mistuning was found to depend fundamentally on relations between the left and right eigenvectors. For systems where the left and right eigenvectors form complex conjugate pairs, mistuning cannot destabilize the system unless the reduced frequency of the least stable mode is decreased by the perturbation. In general, only cascades and rotors with a single degree-of-freedom per blade belong to this class.
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January 1984
Research Papers
Flutter of Mistuned Turbomachinery Rotors
O. O. Bendiksen
O. O. Bendiksen
Mechanical and Aerospace Engineering, Princeton University, Princeton, N.J. 08540
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O. O. Bendiksen
Mechanical and Aerospace Engineering, Princeton University, Princeton, N.J. 08540
J. Eng. Gas Turbines Power. Jan 1984, 106(1): 25-33 (9 pages)
Published Online: January 1, 1984
Article history
Received:
December 27, 1982
Online:
October 15, 2009
Citation
Bendiksen, O. O. (January 1, 1984). "Flutter of Mistuned Turbomachinery Rotors." ASME. J. Eng. Gas Turbines Power. January 1984; 106(1): 25–33. https://doi.org/10.1115/1.3239546
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