Mathematical Model for the Class IV Flextensional Underwater Acoustic Transducer.

Abstract

A mathematical model for axisymmetric free vibrations of the Class IV Flextensional Underwater Acoustic Transducer Shell is developed. The shell is approximated by an arc with varying radius of curvature and thickness. The eigenvalues and eigenvectors obtained from the approximate model for the simplified case of a 180 degree curved beam with horizontally-guided boundary condition agree with those obtained utilizing a previous developed curved-beam model. The model of the shell is coupled to a discrete set of equations governing the piezoelectric stack. The results are then set up in matrix form and the free vibrations of the Class IV Flextensional Underwater Acoustic Transducer in a vaccum are obtained. Results for various design parameters are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0723835

Entities

People

  • James R. Rutledge
  • Larry H. Royster

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Curvature
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematical Models
  • Mathematics
  • Models
  • Transducers
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.