Acoustic Radiation from Vibrating Prolate Spheroids.

Abstract

Prolate spheroidal coordinates and associated prolate spheroidal wave functions have been used to determine the acoustic radiation from prolate spheroids whose surfaces vibrate arbitrarily. The theory, originally developed to study the sound propagation from submerged spheroids, is general enough to include a wide range of specific acoustic problems such as radiation from nonspherical sources (cylinders with end caps, discs, etc.) and acoustic scattering. Boundary conditions are adjusted to the general solutions of the wave equation to obtain an expression for the sound pressure from which a local model radiation impedance was defined. The application of the theory is demonstrated through numerical calculations of the far-field acoustic radiation from a particular prolate spheroid for which experimental data was available. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 03, 1970
Accession Number
AD0720714

Entities

People

  • Gerald C. Lauchle

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Acoustic Scattering
  • Boundaries
  • Equations
  • Experimental Data
  • Far Field
  • Impedance
  • Mathematics
  • Radiation
  • Scattering
  • Sound Pressure
  • Wave Equations
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering