SYMMETRIC INVERSE EIGENVALUE VIBRATION PROBLEM AND ITS APPLICATION

✍ Scribed by L. STAREK; D.J. INMAN

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 206 KB
• Volume: 15
• Category: Article
• ISSN: 0888-3270
• DOI: 10.1006/mssp.2000.1349

✦ Synopsis

This paper summarises the authors' previous e!ort on inverse eigenvalue problem for linear vibrating systems described by a vector di!erential equation with constant coe$cient matrices and non-proportional damping. The inverse problem of interest here is that of determining real symmetric coe$cient matrices assumed to represent mass normalised velocity and position coe$cient matrices, given a set of speci"ed complex eigenvalues and eigenvectors. There are given two solutions of a symmetric inverse eigenvalue problem presented by Starek and Inman [1,2].

The theory of inverse eigenvalue problem is applied to the model updating problem. The goal of this paper is to recognise that the model updating problem is a subset of the inverse eigenvalue problem. The approach proposed here is to use the results of inverse eigenvalue problem to develop methods for model updating.

Comments are made on how their procedure may be used to solve the damage detection problem.