Materially-isospectral congruent membranes.
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Materially-isospectral congruent membranes are membranes which have the same shape but different structure, that is different densities, yet they possess the same vibration frequency spectrum. Some approaches to finding such systems are described, and explicit formulae are presented for some annular and circular membranes. The results are numerically verified.
Copyright 2006 Australian Mathematical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.