An examination of bi-orthogonality relationships in elastic-fluid media
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Authors
Myers, Coley R.
Subjects
Biorthogonality
Acoustics
Elasticity
Acoustics
Elasticity
Advisors
Scandrett, Clyde L.
Frenzen, Christopher L.
Date of Issue
1998-06
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The bi-orthogonality relationships for vertically heterogeneous porous media in contact with various surfaces have been previously established. For the special case in which the porous substance has zero porosity, the relationships reduce to those for elastic media. The bi-orthogonality relationship for a fluid loaded elastic slab will be considered numerically by discretizing the boundary value problems using finite differences. The resulting matrix will be analyzed for the purpose of determining eigenvalues of the complex dispersion relationship of the layered media, as well as discerning the corresponding eigenvectors which are discrete analogies of the propagation/ evanescent eigenfunctions of the media
Type
Thesis
Description
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
xvi, 53 p.;28 cm.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.