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Computation of Eigenvalues and Eigenvectors of a Mistuned Bladed Disk Via Unidirectional Taylor Series Expansions

[+] Author and Article Information
Alok Sinha

 The Pennsylvania State University, University Park, PA 16802

J. Turbomach 132(4), 044501 (Apr 29, 2010) (4 pages) doi:10.1115/1.3142863 History: Received January 23, 2008; Revised January 09, 2009; Published April 29, 2010; Online April 29, 2010

This paper deals with the computation of eigenvalues and eigenvectors of a mistuned bladed disk. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is discussed. Next, an algorithm is developed to compute these derivatives. It is shown how a Taylor series expansion can be used to efficiently compute eigenvalues and eigenvectors of a mistuned system. Numerical examples are presented to corroborate the validity of theoretical analysis.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 1

Model of a bladed disk assembly

Grahic Jump Location
Figure 2

Prediction of ω4 and ω5 via linearization (range of r axis: −3×104 to +3×104)

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