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International Journal of Rotating Machinery
Volume 6 (2000), Issue 1, Pages 29-41

On the Forced Response of Harmonically and Partially Mistuned Bladed Disks. Part I: Harmonic Mistuning

1Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106, USA
2Raytheon Aircraft Company, P.O. Box 85, Wichita, KS 67201-0085, USA

Revised 17 July 1998

Copyright © 2000 Hindawi Publishing Corporation. 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.


This series of two papers focuses on the determination and clarification of the characteristics of the forced response of bladed disks that exhibit a mistuning pattern that is either harmonic or partial. Harmonic mistuning refers to single wavelength variations in structural properties along the disk while partial mistuning is associated with blade characteristics that are random in a specific sector and tuned elsewhere. The results of this analysis demonstrate that many features of the response of these simple systems match not only qualitatively but also quantitatively their counterparts on randomly mistuned bladed disks. Relying on these similarities, simple and reliable approximations of the localization factor and of the mean response are easily derived that exemplify the usefulness of harmonic and partial mistuning patterns. Finally, it is demonstrated both theoretically and by comparison with simulation results that the maximum amplitude of response of a disk closely follows a Weibull-type distribution in all coupling situations, from very weak to very strong.