AXIALLY SYMMETRIC WAVE PROPAGATION IN A TWO-LAYERED CYLINDER

Abstract

The linear theory of elasticity is used to investigate axially symmetric wave propagation in an infinitely long two-layered cylinder. Each material is taken to be homogeneous and isotropic. A perfect bond is assumed at the interface, while the inner and outer boundaries of the composite cylinder are treated as traction-free. The dispersion determinant relating phase velocity and wave number for a harmonic train of waves satisfying these boundary conditions is presented. The character of the dispersion equation is investigated analytically and numerically. Stress and displacement distributions are also presented for the numerical example. Comparisons are made with an approximate solution of the same problem obtained by means of a thin shell theory incorporating thickness-shear deformation of each layer.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0475802

Entities

People

  • James S. Whittier
  • John Paul Jones

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Dispersions
  • Displacement
  • Elastic Properties
  • Elastic Waves
  • Equations
  • Frequency
  • Geometry
  • Group Velocity
  • Materials
  • Personality
  • Phase Velocity
  • Rayleigh Waves
  • Shear Stresses
  • Thickness
  • Wave Propagation

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Structural Dynamics.