Finite amplitude effects in rectangular cavities with perturbed boundaries.

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Author
Kilmer, Milo Jethroe II
Date
1975-12Advisor
Coppens, Alan B.
Second Reader
Sanders, James V.
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Show full item recordAbstract
The effects of boundary perturbations on finite-amplitude
acoustical standing waves in rectangular, rigid-walled
cavities were investigated using non-linear theory. When a
high amplitude standing wave of frequency w is generated in
a cavity, non-linear effects will cause a stimulation of
certain normal modes whose resonance frequencies are integer
multiples of w. Previous experimental observations revealed
that there could be excitation of other normal modes, not
belonging to the family of the driven mode, which v/as not
predicted by the non-linear theory.
The purpose of this research v/as to investigate the
possibility that deviations from the idealized geometry could
account for these observations. Of the various mechanisms
possible, this work investigated the possibility of these
unpredicted excitations occurring through a non-linear
mechanism.
The standing waves that exist in an ideal cavity must be
corrected when the boundaries are irregular. The non-linear
interaction between these standing waves and the corrections
was studied. The ability of this interaction to excite
standing waves other than those predicted in the ideal case
was verified. A specific example was worked out demonstrating
an unpredicted excitation, the strength of which was on the
order of the magnitude of the boundary perturbation parameter.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
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