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- W101347777 abstract "ABSTRACT The block Lanczos method for finding eigenvalues and eigenvectors and its application to the computation of the complex frequencies and modes of damped structures are presented. The equation of motion of the structure is transformed into a generalized eigenvalue system Ax = λBx in which A and B are symmetric and non positive definite matrices. The block Lanczos method generates a sequence of blocks of orthonormalized vectors and, by a projection on these vectors, we obtain a reduced eigensystem Tz = λz where T is an unsymmetric block-tridiagonal matrix whose eigenvalues are approximations of those of the initial system. This method provides extraction of multiple frequencies with their multiplicities and, for undamped structures, computation of the frequencies around a given value." @default.
- W101347777 created "2016-06-24" @default.
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- W101347777 date "1995-01-01" @default.
- W101347777 modified "2023-09-23" @default.
- W101347777 title "Méthode de Lanczos par bloc appliquée aux problèmes de vibration des structures amorties" @default.
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- W101347777 doi "https://doi.org/10.1080/12506559.1995.10511159" @default.
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