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Proceedings Paper

Inverse eigenvalue problem for a circular membrane
Author(s): Rick P. Millane
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Paper Abstract

The problem of determining the density distribution of a circularly symmetric elastic membrane, fixed on the edge, from its frequencies of free vibration, is examined. An asymptotic analysis implies that a density function that is a small perturbation from a homogeneous membrane is determined, up to a finite number of parameters, by two infinite spectra of appropriate angular orders. An algorithm for reconstructing the density from the spectra is presented. The results are illustrated by numerical simulations.

Paper Details

Date Published: 29 December 1992
PDF: 8 pages
Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); doi: 10.1117/12.139048
Show Author Affiliations
Rick P. Millane, Purdue Univ. (United States)


Published in SPIE Proceedings Vol. 1767:
Inverse Problems in Scattering and Imaging
Michael A. Fiddy, Editor(s)

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