Damage Identification of a Mechanical Structure with a Non-Minimum Phase Based on Singular Value Decomposition

Sang Kwon Lee; Kyung-Rae Rho; Jinhoi Gu

doi:10.4028/www.scientific.net/KEM.293-294.119

Paper Titles

Frequency-Demodulated Analysis Based on Cyclostationarity for Local Fault Detection in Gears
p.87

Gearbox Fault Diagnosis Using Adaptive Redundant Second Generation Wavelet
p.95

Comparison of Two Software Tools for Damage Identification: Gradient-Based vs. Case-Based Approach
p.103

Identification of Impact Force for Base on Higher Order Wigner Distribution
p.111

Damage Identification of a Mechanical Structure with a Non-Minimum Phase Based on Singular Value Decomposition
p.119

Wavelet Transform Domain Filter and Its Application in Incipient Fault Prognosis
p.127

Classification Using Radial Basis Function Networks with Uncertain Weights
p.135

Comparison of Different Methods of Ritz Vectors Extraction
p.143

Considerations for Practical Neural Network Application to a Damage Detection Problem
p.151

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Damage Identification of a Mechanical Structure with a Non-Minimum Phase Based on Singular Value Decomposition

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.