10.15480/882.65
Voß, Heinrich
Heinrich
Voß
0000-0003-2394-375X
1012920003
Elssel, Kolja
Kolja
Elssel
132549026
A modal approach for the gyroscopic quadratic eigenvalue problem
TUHH Universitätsbibliothek
2004
Quadratic eigenvalue problem
gyroscopic eigenproblem
automated multilevel
510: Mathematik
Nichtlineares Eigenwertproblem
510
65F15:Eigenvalues, eigenvectors
65F15
TUHH Universitätsbibliothek
TUHH Universitätsbibliothek
2005-12-16
2005-12-16
2004-03
2005-12-16
en
Conference Paper
Proc. of ECCOMAS 2004, Jyväskylä, Finland 2004. ISBN 951-39-1869-6
http://tubdok.tub.tuhh.de/handle/11420/67
urn:nbn:de:gbv:830-opus-1209
10.15480/882.65
11420/67
930768126
http://rightsstatements.org/vocab/InC/1.0/
The Automated Multi-Level Substructuring (AMLS) has been developed to reduce the computational demands of frequency response analysis. AMLS automatically divides a large finite element model into many substructures on a number of levels based on the sparsity structure of the system matrices. Assuming that the interior degrees of freedom depend quasistatically on the interface degrees of freedom, and modeling the deviation from quasistatic dependence in terms of a small number of selected substructure eigenmodes the size of the finite element model is reduced substantially. In this paper we consider conservative gyroscopic eigenvalue problems. The original AMLS method neglects the gyroscopic effects. We generalize the AMLS approach taking advantage of the fact that for gyroscopic problems there exists a basis of eigenvectors which can be used when modeling the deviation from quasistatic behaviour. In both cases the resulting quadratic eigenproblem is still very large. We suggest to solve it by the nonlinear Arnoldi method taking advantage of the minmax characterization of its eigenvalues.