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International Journal of Rotating Machinery
Volume 2007, Article ID 27247, 11 pages
Research Article

A Class of Methods for the Analysis of Blade Tip Timing Data from Bladed Assemblies Undergoing Simultaneous Resonances—Part I: Theoretical Development

1Experimental Vibrations, Rolls-Royce PLC, P.O. Box 31, Derby DE24 8DJ, UK
2School of Mechanical Aerospace and Civil Engineering, University of Manchester, Simon Building, Oxford Road, Manchester M13 9PL, UK

Received 6 March 2006; Revised 17 November 2006; Accepted 4 January 2007

Academic Editor: Eric Maslen

Copyright © 2007 J. Gallego-Garrido 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.


Blade tip timing is a technique for the measurement of vibrations in rotating bladed assemblies. Although the fundamentals of the technique are simple, the analysis of data obtained in the presence of simultaneously occurring synchronous resonances is problematic. A class of autoregressive-based methods for the analysis of blade tip timing data from assemblies undergoing two simultaneous resonances has been developed. It includes approaches that assume both sinusoidal and general blade tip responses. The methods can handle both synchronous and asynchronous resonances. An exhaustive evaluation of the approaches was performed on simulated data in order to determine their accuracy and sensitivity. One of the techniques was found to perform best on asynchronous resonances and one on synchronous resonances. Both methods yielded very accurate vibration frequency estimates under all conditions of interest.