CREEPING-WAVE ANALYSIS OF ACOUSTIC SCATTERING BY ELASTIC CYLINDRICAL SHELLS

Abstract

The Sommerfeld-Watson transformation is applied on the normal-mode solution of a plane wave being scattered by an infinite, elastic, cylindrical shell immersed in a fluid and containing another fluid. The resulting residue series is generated by poles which are the complex zeroes of a six-by-six determinant. These zeroes are found numerically by an extension of the Newton- Raphson method for complex functions. It is found that besides the infinity of the well-known rigid zeroes there exists a set of additional zeroes, which gives rise to generalized Rayleigh and Stoneley waves. Numerical results include scattering cross sections, phase velocities, group velocities, critical angles and attenuation factors for the dominant creeping-wave modes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 26, 1968
Accession Number
AD0666105

Entities

People

  • Peter Uginicius

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Scattering
  • Acoustic Waves
  • Acoustics
  • Aluminum
  • Bessel Functions
  • Computer Programs
  • Computers
  • Diffraction
  • Equations
  • Geometry
  • Group Velocity
  • Phase Velocity
  • Physics
  • Scattering
  • Scattering Cross Sections
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.