Density of Axisymmetric Models of Closed In-Vacuo Prolate Spheroidal Shells

Abstract

The objective is to develop simple expressions for the modal density of prolate spheroidal shells applicable at frequencies above where modal overlap renders the need to identify locations of individual modes unnecessary. The effort presented here is limited to axisymmetric modes which present the greatest challenge. Axisymmetric modes involve the zeroth-order circumferential modal response where the effects of curvature are strongest because of the ring in-plane stresses. Non-axisymmetric mods will be influenced less by curvature which should simplify the development of simple expressions for modal density. Thus, if we can obtain good estimates of the modal density for higher-order axisymmetric modes, it is likely that we can also obtain good estimates for modal densities for all higher-order modes for a closed prolate spheroidal shell.

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Document Details

Document Type
Technical Report
Publication Date
Jan 22, 2002
Accession Number
ADA398740

Entities

People

  • Courtney B. Burroughs

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Bessel Functions
  • Boundaries
  • Curvature
  • Differential Equations
  • Displacement
  • Equations
  • Equations Of Motion
  • Extrapolation
  • Frequency
  • Geometric Forms
  • Geometry
  • Information Operations
  • Military Research
  • Resonance
  • Thickness
  • Universities

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.