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A rational spectral problem in fluid-solid vibration
Citation Link: https://doi.org/10.15480/882.153
Publikationstyp
Working Paper
Date Issued
2002-08
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
In this paper we apply a minmax characterization for nonoverdamped nonlinear eigenvalue problems to a rational eigenproblem governing mechanical vibrations of a tube bundle immersed in an inviscid compressible fluid. This eigenproblem is nonstandard in two respects: it depends rationally on the eigenparameter, and it involves non-local boundary conditions. Comparison results are proved comparing the eigenvalues of the rational problem to those of certain linear problems suggesting a way how to construct ansatz vectors for an efficient projection method.
Subjects
nonlinear eigenvalue problem
maxmin principle
fluid structure interaction
DDC Class
510: Mathematik
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