Finite amplitude effects in rectangular cavities with perturbed boundaries.
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Authors
Kilmer, Milo Jethroe II
Subjects
Advisors
Coppens, Alan B.
Date of Issue
1975-12
Date
December 1975
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
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.
Type
Thesis
Description
Series/Report No
Department
Physics and Chemistry
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
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.