AXISYMMETRIC VIBRATIONS OF SUBMERGED SPHEROIDAL SHELLS.

Abstract

The differential equations governing the free axisymmetric extensional vibrations of an elastic prolate spheroidal shell submerged in an infinite acoustic medium are obtained in prolate spheroidal coordinates using Hamilton's principle. Solutions are obtained by a perturbation technique which converges well for shells of small eccentricity. Numerical results are presented for the fundamental mode, frequency and acoustic impedence of steel shells in water for ratios of major to minor axis up to 1.23 over a wide range of shell length to thickness ratios. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0610007

Entities

People

  • Frank L. Dimaggio
  • Sabih Hayek

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Differential Equations
  • Doppler Effect
  • Eccentricity
  • Equations
  • Frequency
  • Frequency Shift
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Thickness
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.