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

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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.

    Original languageEnglish (US)
    Pages (from-to)1-4
    Number of pages4
    JournalJournal of Turbomachinery
    Volume132
    Issue number4
    DOIs
    StatePublished - Oct 1 2010

    All Science Journal Classification (ASJC) codes

    • Mechanical Engineering

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