The Derivatives of Repeated Eigenvalues and Their Associated Eigenvectors

Journal of Vibration and Acoustics, Transactions of the ASME - Tập 118 Số 3 - Trang 390-397 - 1996
Michael I. Friswell1
1Department of Mechanical Engineering, University of Wales Swansea, Swansea SA2 8PP, United Kingdom

Tóm tắt

This paper considers the calculation of eigenvalue and eigenvector derivatives when the eigenvalues are repeated. An extension to Nelson’s method is used to calculate the first order derivatives of eigenvectors when the derivatives of the associated eigenvalues are also equal. The continuity of the eigenvalues and eigenvectors is discussed, and the discontinuities in the eigenvectors, when they are regarded as functions of two or more design parameters, is demonstrated. The validity of Taylor series for the eigenvalues and eigenvectors is examined and the use of these series critically assessed.

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Thông tin xuất bản

Journal of Vibration and Acoustics, Transactions of the ASME

Tập 118 Số 3

390-397

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