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Title: Eigenvibrations of a plate with elastically attached loads
Language: English
Authors: Voß, Heinrich 
Keywords: nonlinear eigenvalue problem; Arnoldi method; free vibrations of a plate with masses
Issue Date: Feb-2004
Source: ECCOMAS 2004. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 200424 - 28 July 2004. Jyväskylä, Finland
Abstract (english): 
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.
DOI: 10.15480/882.185
Institute: Mathematik E-10 
Document Type: Chapter/Article (Proceedings)
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 72
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