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The effect of an enclosed air cavity on a rectangular drum

Published online by Cambridge University Press:  17 February 2009

H. P. W. Gottlieb
H. P. W. Gottlieb
Affiliation:
School of Science, Griffith University, Queensland 4111
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Abstract

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The effect of an enclosed air cavity on the natural vibration frequencies of a rectangular membrane is investigated. The modes specified by an even integer are not affected. For the odd-odd modes, the frequency equation is found via a Green's function formulation and is solved to first order in a parameter representing the effect of the cavity of the rectangular drum. The frequencies are raised, with the fundamental being most affected. In the case of degeneracies, each degenerate mode contributes to the frequency shift, but the degeneracy itself is not broken to first order.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 3 , January 1983 , pp. 343 - 349
Copyright
Copyright © Australian Mathematical Society 1983

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