Damage Identification of a Mechanical Structure with a Non-Minimum Phase Based on Singular Value Decomposition |
| Journal |
Key Engineering Materials (Volumes 293 - 294) |
| Volume |
Damage Assessment of Structures VI |
| Edited by |
W.M. Ostachowicz, J.M. Dulieu-Barton, K.M. Holford, M. Krawczuk and A. Zak |
| Pages |
119-126 |
| DOI |
10.4028/www.scientific.net/KEM.293-294.119 |
| Online since |
September, 2005 |
| Authors |
Sang Kwon Lee,
Kyung-Rae Rho,
Jinhoi Gu
|
| Keywords |
Beam, Inverse Problem, Non-Minimum Phase, Singular Value Decomposition (SVD) |
| Abstract |
This paper presents experimental results of source identification for a non-minimum phase system. Generally, a causal linear system may be described by matrix form. The inverse problem is considered as a matrix inversion. Direct inverse method cannot be applied for a non-minimum phase system, because the system has ill-conditioning. Therefore, in this study the SVD inverse technique is introduced to execute an effective inversion. In a non-minimum phase system, its system matrix may be singular or near-singular and has very small singular values. These very small singular values have information about a phase of the system and ill-conditioning. Using this property we could solve the ill-conditioned problem of the system and then verify it for the practical system (cantilever beam). The experimental results show that the SVD inverse technique works well for a non-minimum phase system. This inverse technique can be applied to the estimation of the magnitude of impact force, which becomes often a cause of damage to a mechanical system. |
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