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Intermediate reduction steps improve automated multi-level substructuring
Publikationstyp
Conference Paper
Date Issued
2007
Sprache
English
Author(s)
Voß, Heinrich
Citation
11th International Conference on Civil, Structural and Environmental Engineering Computing (Civil-Comp 2007)
Contribution to Conference
Scopus ID
Publisher
Civil-Comp Press
ISBN
978-1-905088-15-7
978-1-905088-16-4
978-1-905088-17-1
The Automated Multi-Level Substructuring (AMLS) method has been developed to reduce the computational demands of frequency response analysis and has recently been proposed as an alternative to iterative projection methods like Lanczos or Jacobi- Davidson for computing a large number of eigenvalues for matrices of very large dimension. Based on Schur complements and modal approximations of submatrices on several levels AMLS constructs a projected eigenproblem which yields good approximations of eigenvalues at the lower end of the spectrum. In this paper we reduce the cost of AMLS introducing intermediate reduction steps. The efficiency of this approach is demonstrated by a huge gyroscopic eigenvalue problem modelling the dynamic behaviour of a rotating tyre.
Subjects
AMLS
Arnoldi method
Automated multi-level substructuring
Eigenproblem
Eigenvalue
Eigenvector
Intermediate reduction
Iterative projection method
Nonlinear eigenvalue problem
Sparse matrix
DDC Class
624: Civil Engineering, Environmental Engineering