Reducing huge gyroscopic eigenproblems by automated multi-level substructuring

First published in
Preprints des Institutes für Mathematik 
Preprints des Institutes für Mathematik; Bericht 96
Number in series
96
Citation
Preprint. Published in Archive of Applied Mechanics. November 2006, Volume 76, Issue 3–4, pp 171–179
Publisher DOI
10.1007/s00419-006-0013-0
Scopus ID
2-s2.0-33750006080
Simulating numerically the sound radiation of a rolling tire requires the solution of a very large and sparse gyroscopic eigenvalue problem. Taking advantage of the automated multi– level substructuring (AMLS) method it can be projected to a much smaller gyroscopic problem, the solution of which however is still quite costly since the eigenmodes are non–real and complex arithmetic is necessary. This paper discusses the application of AMLS to huge gyroscopic problems and the numerical solution of the AMLS reduction. A numerical example demonstrates the efficiency of AMLS.
Schlagworte
Eigenvalue
AMLS
gyroscopic eigenproblem
substructuring
nonlinear eigenproblem
DDC Class
510: Mathematik