Computation of eigenvalues and eigenvectors of a mistuned bladed disk

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    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 languageEnglish (US)
    Title of host publicationProceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air
    Pages729-737
    Number of pages9
    Volume5 PART B
    DOIs
    StatePublished - Nov 14 2006
    Event2006 ASME 51st Turbo Expo - Barcelona, Spain
    Duration: May 6 2006May 11 2006

    Other

    Other2006 ASME 51st Turbo Expo
    CountrySpain
    CityBarcelona
    Period5/6/065/11/06

    Fingerprint

    Eigenvalues and eigenfunctions
    Derivatives
    Taylor series

    All Science Journal Classification (ASJC) codes

    • Engineering(all)

    Cite this

    Sinha, A. (2006). Computation of eigenvalues and eigenvectors of a mistuned bladed disk. In Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air (Vol. 5 PART B, pp. 729-737) https://doi.org/10.1115/GT2006-90087
    Sinha, Alok. / Computation of eigenvalues and eigenvectors of a mistuned bladed disk. Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air. Vol. 5 PART B 2006. pp. 729-737
    @inproceedings{1b09128c61fd4365b3b472ad75fdbf7c,
    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.",
    author = "Alok Sinha",
    year = "2006",
    month = "11",
    day = "14",
    doi = "10.1115/GT2006-90087",
    language = "English (US)",
    isbn = "0791842401",
    volume = "5 PART B",
    pages = "729--737",
    booktitle = "Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air",

    }

    Sinha, A 2006, Computation of eigenvalues and eigenvectors of a mistuned bladed disk. in Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air. vol. 5 PART B, pp. 729-737, 2006 ASME 51st Turbo Expo, Barcelona, Spain, 5/6/06. https://doi.org/10.1115/GT2006-90087

    Computation of eigenvalues and eigenvectors of a mistuned bladed disk. / Sinha, Alok.

    Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air. Vol. 5 PART B 2006. p. 729-737.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    TY - GEN

    T1 - Computation of eigenvalues and eigenvectors of a mistuned bladed disk

    AU - Sinha, Alok

    PY - 2006/11/14

    Y1 - 2006/11/14

    N2 - 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.

    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.

    UR - http://www.scopus.com/inward/record.url?scp=33750826748&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=33750826748&partnerID=8YFLogxK

    U2 - 10.1115/GT2006-90087

    DO - 10.1115/GT2006-90087

    M3 - Conference contribution

    AN - SCOPUS:33750826748

    SN - 0791842401

    SN - 9780791842409

    VL - 5 PART B

    SP - 729

    EP - 737

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

    ER -

    Sinha A. Computation of eigenvalues and eigenvectors of a mistuned bladed disk. In Proceedings of the ASME Turbo Expo 2006 - Power for Land, Sea, and Air. Vol. 5 PART B. 2006. p. 729-737 https://doi.org/10.1115/GT2006-90087