Variational characterization of eigenvalues of a non-symetric eigenvalue problem governing elastoacoustic vibrations.

Autor:	Stammberger, Markus
Další autoři:	Voss, Heinrich
Jazyk:	angličtina
Předmět:	matematika vibrace variační metody mathematics vibration variational methods články journal articles eigenvalue problem fluid-solid vibration variational characterization minmax principle maxmin principle
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink