Torsional Waves in a Bimetallic Cylinder. Part I. Axially Homogeneous Case.

Abstract

The dispersion spectrum is found for axially symmetric torsional waves in an elastic, bimetallic rod with cylindrical core and concentric outer casing. Plotting of the various branches of the spectrum is simplified by the presence of discrete invariant points which are independent of the material properties, and through which the spectral lines must pass. The slope and curvature of the spectral lines at cut-off frequencies, the asymptotic approximations at high frequency, the non-existence of complex branches, the problem of co-existence and the concept of energy flow are also studied. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA085822

Entities

People

  • R. K. Kaul
  • R. P. Shaw
  • W. Muller

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Bessel Functions
  • Curvature
  • Differential Equations
  • Dispersions
  • Eigenvalues
  • Engineering
  • Equations
  • Frequency
  • Geometric Forms
  • Geometry
  • Group Velocity
  • Lines (Geometry)
  • Long Wavelengths
  • Materials
  • Mechanics
  • Spectra
  • Spectral Lines

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering