Symmetric inverse eigenvalue vibration problem and its application

Citation
L. Starek et Dj. Inman, Symmetric inverse eigenvalue vibration problem and its application, MECH SYST S, 15(1), 2001, pp. 11-29
Citations number
13
Categorie Soggetti
Mechanical Engineering
Journal title
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
ISSN journal
08883270 → ACNP
Volume
15
Issue
1
Year of publication
2001
Pages
11 - 29
Database
ISI
SICI code
0888-3270(200101)15:1<11:SIEVPA>2.0.ZU;2-S
Abstract
This paper summarises the authors' previous effort on inverse eigenvalue pr oblem for linear vibrating systems described by a Vector differential equat ion with constant coefficient matrices and non-proportional damping. The in verse problem of interest here is that of determining real symmetric coeffi cient matrices assumed to represent mass normalised velocity and position c oefficient matrices, given a set of specified complex eigenvalues and eigen vectors. There are given two solutions of a symmetric inverse eigenvalue pr oblem presented by Starek and Inman [1,2]. The theory of inverse eigenvalue problem is applied to the model updating p roblem. The goal of this paper is to recognise that the model updating prob lem is a subset of the inverse eigenvalue problem. The approach proposed he re is to use the results of inverse eigenvalue problem to develop methods f or model updating. Comments are made on how their procedure may be used to solve the damage de tection problem. (C) 2001 Academic Press.