Interaction of a Spherical Acoustic Wave with an Elastic Spherical Shell

Abstract

The interaction of a spherical acoustic wave with an elastic spherical shell is treated analytically. The solution includes the coupling between the acoustic sound field and vibration of the shell with any degree of fluid loading. The formulation for the far-field acoustic pressure is derived in terms of natural spherical wave functions, the properties of the acoustic medium, and the material constants of the shell. The far acoustic field is computed for a thin aluminum shell and several sound source locations over a large range of ka, where k is the wavenumber, and a is the shell radius. It is shown that the acoustic pressure depends significantly on whether the shell is in air or is submerged in water; particularly when the sound source is very near the surface.

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Document Details

Document Type
Technical Report
Publication Date
Mar 06, 1975
Accession Number
ADA008239

Entities

People

  • Gerald C. Lauchle

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Fields
  • Acoustic Propagation
  • Acoustic Waves
  • Bessel Functions
  • Far Field
  • Frequency
  • Frequency Response
  • Impedance
  • Pennsylvania
  • Radiation
  • Resonance
  • Resonant Frequency
  • Spherical Waves
  • Universities
  • Vibration
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.