Effective Stiffness Flexural Vibrations of Simply Supported Rectangular Plates with Velocity Correction.

Abstract

The velocity corrected effective stiffness or microstructure plate theory is utilized to study the flexural vibrations if simply supported rectangular plates and comparisons are made to an effective modulus plate theory. In each case frequency equations for simply supported edges are developed by passing solutions harmonic in both length and width through the differential equations while automati-cally satisfying the conditions for simple supports. Careful consid-eration is given to the variations of dimensionless frequency with such dimensionless parameters as width-to- thickness ratio, number of layer pairs, density ratio, thickness ratio, width-to- length ratio, and elastic ratio and such results are discussed graphically. (Author, modified-PL)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1973
Accession Number
AD0768089

Entities

People

  • Charles R. Thomas

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Doppler Effect
  • Equations
  • Frequency
  • Frequency Shift
  • Mathematics
  • Microstructure
  • Motion
  • Physical Properties
  • Stiffness
  • Thickness
  • Vibration

Readers

  • Fluid Dynamics.
  • Structural Dynamics.