Materially-isospectral congruent membranes

H. P .W. Gottlieb

Abstract


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.

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DOI: http://dx.doi.org/10.21914/anziamj.v47i0.1036



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.