Inverse eigenvalue problem for a circular membrane

Rick P. Millane

doi:10.1117/12.139048

29 December 1992 Inverse eigenvalue problem for a circular membrane

Rick P. Millane

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139048
Event: San Diego '92, 1992, San Diego, CA, United States

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.

Citation Download Citation

Rick P. Millane "Inverse eigenvalue problem for a circular membrane", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139048

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