Article ID Journal Published Year Pages File Type
9662390 Computers & Mathematics with Applications 2005 9 Pages PDF
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 × 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 − 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)
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