Open Access
Subscription or Fee Access
On The Inverse Problem of a Vibrating Membrane of Arbitrary Shape
Abstract
A study on the inverse problem of a transversely vibrating membrane of varying material properties has been carried out. Using a finite difference model the eigenvalue equation for the inverse problem of an anisotropic, nonhomogenous membrane of rectangular, circular and elliptical shape is formulated. The basic relations for reconstructing the variation of stiffness
and mass of such a membrane from eigenvalues and eigenvectors are established. Reconstruction with a varying number of eigenvectors for a membrane of rectangular and elliptical shape is discussed. Also a procedure which can be used to reconstruct the membranes is proposed and an example illustrating the procedure given.
Disclaimer/Regarding indexing issue:
We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.