A VARIATIONAL SOLUTION OF SOLID AND FREE-FLOODING CYLINDRICAL SOUND RADIATORS OF FINITE LENGTH

Abstract

Finite length effects in solid cylindrical sound sources and in free- flooding squirters are evaluated by means of a variational technique which parallels the Levine-Schwinger variational principle for diffraction problems. The radiation impedance is expressed as the sum of two components: (1) the impedance computed from Robey's mathematical model which has been generally applied to cylindrical transducers, but which does not account for and effects; (2) the impedance associated with the radial velocity distribution over the two semi-infinite cylindrical surfaces extending the radiating surface. This technique is also applied to longitudinal modes of the solid cylinder, and to non-axisymmetric modal configurations. A subsequent report (CAA U-178-48) extends this analysis to arrays of coaxial free-flooding ring-transducers.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0432664

Entities

People

  • Miguel C. Junger

Tags

Communities of Interest

  • Advanced Electronics
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautical Engineering
  • Air Force
  • Army
  • Civil Engineering
  • Complex Variables
  • Engineering
  • Equations
  • Far Field
  • Frequency
  • Integral Equations
  • Mechanics
  • Near Field
  • New York
  • Physics Laboratories
  • Radial Velocity
  • Test Facilities
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Inertial Navigation Systems.
  • Structural Dynamics.