Computation of eigenvalues and eigenvectors of a mistuned bladed disk

Alok Sinha

doi:10.1115/GT2006-90087

Computation of eigenvalues and eigenvectors of a mistuned bladed disk

Alok Sinha

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

This paper deals with fundamental aspects of variations in eigenvalues and eigenvectors of a bladed disk due to mistuning. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is thoroughly examined. 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. This methodology is developed for perturbations in both repeated and unrepeated eigenvalues of the tuned system. Lastly, numerical examples are presented.

Original language	English (US)
Title of host publication	Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air
Pages	729-737
Number of pages	9
Volume	5 PART B
DOIs	https://doi.org/10.1115/GT2006-90087
State	Published - Nov 14 2006
Event	2006 ASME 51st Turbo Expo - Barcelona, Spain Duration: May 6 2006 → May 11 2006

Other

Other	2006 ASME 51st Turbo Expo
Country/Territory	Spain
City	Barcelona
Period	5/6/06 → 5/11/06

All Science Journal Classification (ASJC) codes

Engineering(all)

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10.1115/GT2006-90087

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title = "Computation of eigenvalues and eigenvectors of a mistuned bladed disk",

abstract = "This paper deals with fundamental aspects of variations in eigenvalues and eigenvectors of a bladed disk due to mistuning. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is thoroughly examined. 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. This methodology is developed for perturbations in both repeated and unrepeated eigenvalues of the tuned system. Lastly, numerical examples are presented.",

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AB - This paper deals with fundamental aspects of variations in eigenvalues and eigenvectors of a bladed disk due to mistuning. First, the existence of derivatives of repeated eigenvalues and corresponding eigenvectors is thoroughly examined. 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. This methodology is developed for perturbations in both repeated and unrepeated eigenvalues of the tuned system. Lastly, numerical examples are presented.

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BT - Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air

T2 - 2006 ASME 51st Turbo Expo

Y2 - 6 May 2006 through 11 May 2006

ER -

Computation of eigenvalues and eigenvectors of a mistuned bladed disk

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All Science Journal Classification (ASJC) codes

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