THE VIBRATION OF A HOMOGENEOUS PLATE WITH LINEAR DAMPING, RADIATING INTO A FLUID MEDIUM,

Abstract

Stress-strain relations incorporating linear, frequency independent damping, the type characteristic of structural metals, were employed in deriving an equation of motion for a plate in an acoustic medium. Two sets of boundary conditions are considered. First, an infinitely long plate, simply supported along its two edges is analyzed. It is assumed that the plate is set between infinite walls with different fluids occupying the space above and below the plate. A sound wave travels through the first medium, strikes the plate, sets it into vibration and causes re-radiation of sound into the second medium. In the second loading condition, a fluid medium acting on only one side of the plate, with an harmonic force directly applied and acting on the other side of the plate. The plate vibration causes radiation of sound into the medium. The second plate considered is a rectangular plate, simply supported along 2 opposite edges, free along the other 2, and again set between infinite walls. This plate has an harmonic force acting on one side and radiates sound waves into a medium on the other. Effectiveness of the plates for damping out vibratory energy is measured by a ''pressure ratio''. This quantity is calculated for a number of situations in a numerical example. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1963
Accession Number
AD0423762

Entities

People

  • Irving W. Jones
  • V. L. Salerno

Tags

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Boundaries
  • Doppler Effect
  • Equations
  • Frequency
  • Frequency Shift
  • Mechanical Properties
  • Physical Properties
  • Radiation
  • Sound Waves
  • Stress Strain Relations
  • Stresses
  • Vibration
  • Waves

Fields of Study

  • Physics

Readers

  • Acoustics.
  • Fluid Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster