Free-Wave Propagation in Fluid-Loaded Thick-Walled Circular Pipes.

Abstract

An infinite thick-walled pipe contains, and is surrounded by, an inviscid fluid. The displacements of the pipe's wall satisfy the exact linear equations of elasticity, and the interior and exterior fluids satisfy the scalar Helmholtz wave equation. The differential equations are solved by means of Fourier transforms to give the dispersion relation connecting frequency with axial and circumferential wavenumbers. The dispersion relation is solved numerically to give examples of 'real' axial wavenumber versus frequency plots for selected circumferential harmonics. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA111309

Entities

People

  • S. A. Lester

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Differential Equations
  • Dispersion Relations
  • Dispersions
  • Displacement
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Evanescent Waves
  • Frequency
  • Geometry
  • Mathematical Analysis
  • Three Dimensional
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Structural Dynamics.