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Constructing the shape of a rod from eigenvalues

✍ Scribed by Ram, Yitshak M. ;Elhay, Sylvan

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
131 KB
Volume
14
Category
Article
ISSN
1069-8299

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✦ Synopsis

The discretization of the dierential equation governing the axial vibration of a rod with varying cross-section leads to a specially structured matrix pencil. This paper deals with the reconstruction of this pencil from its spectrum. An iterative algorithm for this problem and an analytic characterization of complementary solutions are given. The method is demonstrated on some examples.

πŸ“œ SIMILAR VOLUMES

One-dimensional approximations of the ei
One-dimensional approximations of the eigenvalue problem of curved rods
✍ Josip Tambača πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 221 KB

## Abstract In this work we analyse the asymptotic behaviour of eigenvalues and eigenfunctions of the linearized elasticity eigenvalue problem of curved rod‐like bodies with respect to the small thickness __Ο΅__ of the rod. We show that the eigenfunctions and scaled eigenvalues converge, as __Ο΅__ te