Theoretical Study of Finite Amplitude Standing Waves in Rectangular Cavities with Perturbed Boundaries.
NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
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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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