Spectrum localization in a problem involving the normal modes of an elastic shell filled with a viscous incompressible fluid
Abstract
The properties of the eigenvalues and eigenfunctions in a problem involving the normal modes of a viscous incompressible fluid filling an elastic shell are investigated. Results on spectrum localization and the asymptotic behavior of the eigenvalues for certain spectral branches are obtained, and a theorem concerning the multiple fullness of the eigenfunctions is proved. Cases of nonrotating and uniformly rotating shells are examined.
- Publication:
-
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
- Pub Date:
- March 1985
- Bibcode:
- 1985ZVMMF..25..403O
- Keywords:
-
- Elastic Shells;
- Fluid Filled Shells;
- Hydroelasticity;
- Shell Stability;
- Structural Vibration;
- Vibration Mode;
- Asymptotic Properties;
- Eigenvalues;
- Incompressible Fluids;
- Rotating Fluids;
- Spectrum Analysis;
- Viscous Fluids;
- Fluid Mechanics and Heat Transfer