TIME-HARMONIC TRANSVERSE AND LONGITUDINAL MOTIONS OF A LAMINATED PLATE.

Abstract

An approximate theory, which describes the mechanical behavior of a laminated medium as that of a homogeneous continuum with microstructure, is employed to study time-harmonic motions of a laminated plate. For the lowest flexural and extensional modes, the phase velocities and the frequencies are computed as functions of the wave number. A comparison with exact results shows good qualitative agreement. By contrast, corresponding results according to the effective modulus theory agree only for small values of the wave number, for which the dispersive behavior results from the overall thickness of the plate. As the wave number increases (wave length decreases) the dispersion due to the internal layering becomes more pronounced, causing the phase velocity to increase as the wave number increases. The latter effect cannot be described by the effective modulus theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0693200

Entities

People

  • Chin-teh Sun
  • Jan D. Achenbach

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Agreements
  • Contrast
  • Cooperation
  • Dispersions
  • Frequency
  • Microstructure
  • Phase Velocity
  • Physical Properties
  • Psychological Phenomena And Processes
  • Psychology
  • Thickness
  • Transverse

Fields of Study

  • Physics

Readers

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