A Frequency-Domain Method of Structural Damage Identification Formulated From the Dynamic Stiffness Equation of Motion

Lee, U.; Shin, Jin-Ho

doi:10.1006/jsvi.2002.5058

Cited by 48 publications

(36 citation statements)

References 13 publications

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“…Two common damage growth cases [5] are considered in this paper: (1) progressive stiffness reduction at the same location as damage initiation; (2) damage propagation through the entire structure. The damage is modelled by a change in Young's modulus in the damaged area [29] For simplicity, an originally homogenous rectangular beam is considered in this damage identification analysis. The material properties and geometry are the same as those listed in Table I.…”

Section: Quantitative Damage Identificationmentioning

confidence: 99%

“…Based on Euler-Bernoulli beam theory, the coupled structural system associated with EMI technique is analysed by RMM for characterizing damages in the beam. The damage is simulated by reduction of Young's modulus in the damaged area [23,29]. Numerical and experimental results are finally obtained and discussed to show the validity of this analysis.…”

Section: Introductionmentioning

confidence: 97%

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Quantitative structural damage detection using high‐frequency piezoelectric signatures via the reverberation matrix method

Yan¹,

Chen²,

Cai³

et al. 2006

Numerical Meth Engineering

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SUMMARYHigh-frequency structural analysis so far has been a major issue in dynamic analysis, for which many conventional methods such as finite element method and transfer matrix method are unable to perform well. Since the electromechanical impedance technique for structural health monitoring (SHM) operates at very high frequencies, the reverberation matrix method (RMM), which was just developed a few years ago, is employed to study dynamics of the monitored structures, which are bonded with piezoelectric lead zirconate titanate (PZT) patches. A piecewisely homogeneous Euler-Bernoulli beam model is introduced to approximate the non-homogeneous beam and only one-dimensional axial vibration of PZT wafers is considered. The imperfect interfacial bonding between PZT patches and the host beam is investigated based on a shear lag model. Using a hybrid technique combining electromechanical impedance method and RMM, an analytical expression of impedance (or admittance) related to the response of the coupled model of PZT patch-bonding layer-host beam system is derived for SHM. The proposed method is examined by comparing with other theoretical methods as well as by means of a test on an intelligent system using a steel beam with two symmetrically installed PZT wafers. It could be further applied to predicting the dynamics of monitored Timoshenko beams, continuous beams, and framed structures as well.

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Section: Quantitative Damage Identificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Quantitative structural damage detection using high‐frequency piezoelectric signatures via the reverberation matrix method

Yan¹,

Chen²,

Cai³

et al. 2006

Numerical Meth Engineering

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show abstract

“…Lee and Shin [6] introduced a frequency-domain method of structural damage identification. This method was formulated from the dynamic stiffness equation of motion.…”

Section: State Of the Artmentioning

confidence: 99%

Improvement of damage-assessment results using high-spatial density measurements

Pascual

Schälchli

Razeto

2005

Mechanical Systems and Signal Processing

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“…Success in crack detection of structures depends strongly on the model of cracked structure used as for solving the inverse problem. In this study, the dynamic stiffness model of structures [4,5] is conducted for cracked frame by using the equivalent spring model of crack [6,7] and, then, used for identification of crack parameters (cracks position and depth) usually called crack detection problem. The problem of crack detection based on hereby constructed dynamic stiffness model of cracked frame structure and natural frequencies obtained from modal testing is formulated and solved using nonlinear programming method.…”

Section: Introductionmentioning

confidence: 99%

Crack detection for structure based on the dynamic stiffness model and the inverse problem of vibration

Khiem

2006

Inverse Problems in Science and Engineering

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Detecting cracks in structures is a problem of great importance and difficulty in engineering. This work concerns the problem of crack detection for structure using its dynamical characteristics. First, a dynamic stiffness model of framed structure with multi-cracked 3D beam elements has been conducted as a basic instrument for analysis of framed structure with cracked members. Then, the crack detection problem for structures based on the conducted model is formulated in the form of a parameter estimation problem and solved by using the nonlinear programming method. The theory has been illustrated by some numerical results.

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A Frequency-Domain Method of Structural Damage Identification Formulated From the Dynamic Stiffness Equation of Motion

Cited by 48 publications

References 13 publications

Quantitative structural damage detection using high‐frequency piezoelectric signatures via the reverberation matrix method

Quantitative structural damage detection using high‐frequency piezoelectric signatures via the reverberation matrix method

Improvement of damage-assessment results using high-spatial density measurements

Crack detection for structure based on the dynamic stiffness model and the inverse problem of vibration

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