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A subspace iteration method for the eigensolution of large undamped gyroscopic systems
Author(s) -
Rodrigues José F. D.,
Gmuer Thomas E. C.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280303
Subject(s) - eigenvalues and eigenvectors , subspace topology , gyroscope , krylov subspace , mathematics , quadratic equation , algorithm , iterative method , mathematical analysis , physics , geometry , quantum mechanics
This paper presents an efficient and numerically stable algorithm for computing accurately the eigenvalues of smallest moduli and the associated eigenvectors of the quadratic eigenproblem which arises in the analysis of spinning systems. Derived from the well‐known standard subspace iteration method, this solution procedure takes full advantage of the banded configuration of the structural matrices, and of the specific nature of gyroscopic systems. A numerical example is presented to show the efficiency and accuracy of the algorithm.