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Eigenvibrations of a plate with elastically attached loads
Citation Link: https://doi.org/10.15480/882.185
Publikationstyp
Conference Paper
Date Issued
2004-02
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
First published in
Number in series
72
Citation
ECCOMAS 2004. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 200424 - 28 July 2004. Jyväskylä, Finland
In this contribution we consider the rational eigenvalue problem governing free vibrations of a plate with elastically attached masses. We discuss the numerical solution of the problem by an iterative projection method generalizing the Arnoldi method for linear eigenproblems. Taking advantage of a minmax characterization of the eigenvalues for nonoverdamped problems the projected eigenproblems are solved by safeguarded iteration. Special care is taken to determine all eigenvalues between two consecutive poles, and to inhibit the method from converging to the same eigenvalues repeatedly.
Subjects
nonlinear eigenvalue problem
Arnoldi method
free vibrations of a plate with masses
DDC Class
510: Mathematik
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