Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662390 | Computers & Mathematics with Applications | 2005 | 9 Pages |
Abstract
A finite-element discretization of the differential equation for the axial vibration of a rod with varying cross-section leads to a specially structured n à n matrix pencil. The reconstruction of this pencil from its spectrum can be achieved by the reconstruction of a unique Jacobi matrix using half of its spectrum and half of the spectrum of its principal submatrix of order (n â 1). The technique is used in an optimization problem formulated for damage detection in rods defined in terms of changes in the effective cross-sectional area.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
R. Jiménez, L. Santos, N. Kuhl, J. Egaña,