An Examination of Bi-Orthogonality Relationships in Elastic-Fluid Media

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1998
Accession Number
ADA349791

Entities

People

  • Coley R. Myers Iii

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustics
  • Algebra
  • Boundaries
  • Boundary Value Problems
  • Calculus Of Variations
  • Differential Equations
  • Dispersions
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Helmholtz Equations
  • Mathematics
  • Modulus Of Elasticity
  • Numerical Analysis
  • Wave Equations
  • Wave Propagation

Readers

  • Fluid Dynamics.
  • Marine Mammal Biology
  • Wave Propagation and Nonlinear Chaotic Dynamics.