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

Publikationstyp
Journal Article
Date Issued
2014-02-12
Sprache
English
Author(s)
Stammberger, Markus  
Voß, Heinrich 
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/9592
Journal
Applications of mathematics  
Volume
59
Issue
1
Start Page
1
End Page
13
Citation
Applications of Mathematics 59 (1): 1-13 (2014)
Publisher DOI
10.1007/s10492-014-0037-7
Scopus ID
2-s2.0-84894462739
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. © 2014 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.
Subjects
eigenvalue problem
fluid-solid vibration
maxmin principle
min-max principle
variational characterization
DDC Class
510: Mathematik