A MATHEMATICAL MODEL FOR THE CLASS V FLEXTENSIONAL UNDERWATER ACOUSTIC TRANSDUCER

Abstract

The purpose of this investigation is to develop a mathematical model for the Class V flextensional underwater acoustic transducer. The transducer is approximated through the consideration of three distinct problems. The problem of a thin piezoelectric disk with an arbitrary impedance on its edge is solved in terms of Bessel functions. The shell vibration problem is solved using a finite difference model to approximate the shell. The acoustic radiation problem is solved by obtaining the source density distribution for a system of quadrilaterals representing the transducer. With the source density of each quadrilateral, the near and far field pressures and velocities can be found. Utilizing these three components, a model is then constructed for the transducer. A comparison of the results from the mathematical model with those obtained from experiments is made in order to validate the model.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0702049

Entities

People

  • Larry H. Royster
  • Ralph A. Nelson Jr.

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Advanced Electronics
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Coordinate Systems
  • Crystal Structure
  • Dynamic Response
  • Eigenvalues
  • Electric Fields
  • Electrical Impedance
  • Engineering
  • Equations
  • Equations Of Motion
  • Equations Of State
  • Frequency
  • Geometry
  • Impedance
  • Piezoelectric Materials
  • Resonant Frequency
  • Transducers

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)