Computation of eigenvalues and eigenvectors of a mistuned bladed disk via unidirectional taylor series expansions

Alok Sinha

doi:10.1115/1.3142863

Computation of eigenvalues and eigenvectors of a mistuned bladed disk via unidirectional taylor series expansions

Alok Sinha

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-4
Number of pages	4
Journal	Journal of Turbomachinery
Volume	132
Issue number	4
DOIs	https://doi.org/10.1115/1.3142863
State	Published - Oct 2010

All Science Journal Classification (ASJC) codes

Mechanical Engineering

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10.1115/1.3142863

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abstract = "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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AB - 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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Computation of eigenvalues and eigenvectors of a mistuned bladed disk via unidirectional taylor series expansions

Abstract

All Science Journal Classification (ASJC) codes

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