Free Torsional Vibrations of a Hollow Cylinder with Laminated Periodic Structure.

Abstract

The theory of torsional vibrations of a circular, hollow cylinder with a piecewise constant periodic variation of rigidity modulus and mass density is developed in terms of Floquet waves. The dispersion spectrum is shown to have band structure, and the arrangement of characteristics sequence at the end-points of the Brillouin zone is studied. The problem of co-existence of periodic solution is examined in detail and the regions of stability and lability are charted. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA097163

Entities

People

  • C. S. Lee
  • R. K. Kaul

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Band Structures
  • Brillouin Zones
  • Differential Equations
  • Eigenvalues
  • Energy Bands
  • Equations
  • Frequency
  • Mechanics
  • Military Research
  • New York
  • Periodic Variations
  • Sequences
  • Shear Modulus
  • Spectra
  • Spectral Lines
  • Vibration
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Structural Dynamics.