Theoretical Study of Finite Amplitude Standing Waves in Rectangular Cavities with Perturbed Boundaries.

Abstract

The effects of various geometrical boundary perturbations on finite-amplitude acoustical standing waves in a rectangular, rigid-walled cavity were investigated using non-linear theory. The standing waves that exist in an ideal cavity must be corrected when the boundaries are irregular. Three specific examples (stepped, linear and wedged perturbations) were worked out to demonstrate the corrections (in first order) near degeneracies for small perturbations. Those specific examples were compared to the experiments. The present theoretical model qualitatively predicts the effect of the perturbations on the behavior of the nonlinearly generated second harmonic. However, there are unexplained quantitative discrepancies between experiment and theory for a couple of cases. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA066356

Entities

People

  • Mehmet Yalçın Aydın

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Cartesian Coordinates
  • Computer Programs
  • Computers
  • Engineering
  • Equations
  • Experimental Data
  • Fourier Series
  • Frequency
  • Mach Number
  • Perturbations
  • Physics
  • Pressure Distribution
  • Standing Waves
  • Wave Equations
  • Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)