Structural damage localization by combining flexibility and stiffness methods

Yan, Ai Main; Golinval, Jean‐Claude

doi:10.1016/j.engstruct.2005.04.017

Cited by 62 publications

(35 citation statements)

References 16 publications

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“…The results of the numerical and experimental examples of their method showed that it can estimate the damage location and condition using the first few modes only. In fact these examples demonstrated that the modal flexibility method which employs both natural frequencies and mode shapes is more sensitive to damage than other methods based on natural frequencies or mode shapes alone [15,16].…”

Section: Review Of Damage Detection Methodsmentioning

confidence: 96%

Reliability of Dynamically Measured Flexibility Matrix on Damage Detection of Frame Structures

Monajemi

Razak

Ismail

2012

Topics in Modal Analysis II, Volume 6

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The use of dynamically measured flexibility matrix to indicate and locate damage is reported in many studies. However their focus is mostly on structures like beams or slabs that each node has one degree of freedom and all DOFs are in the same direction. For a structure with degrees of freedoms in three directions e.g. frame structures, both modal testing and damage detection become more complicated. It is because each DOF in the stiffness matrix is influenced by all the members connected to it. When it comes to flexibility matrix, another problem arises. Since flexibility matrix is more global, damage does not only affect the related DOFs, but others too. This article aims to address these problems in order to develop a reliable damage detection method for frame structures. The modal parameters of a four story frame structure are calculated for intact and damage cases. Changes in the flexibility matrix were analyzed for different damage scenarios when the damage member is known. It was suggested that there are some patterns that relate DOFs and members which can be used to locate the damage member. Introduction Review of Damage Detection MethodsVibration-based damage detection methods are vastly used to identify and locate probable damages through different types of structures. The basic principle is simple; once damage appears in the structure, it changes the structure's stiffness matrix, which accordingly affects the modal behaviour of the structure. Therefore major changes in modal parameters of the structure may perhaps be understood as existence of damage.The simplest modal parameter that can be used for damage detection purposes is natural frequency. But the sensitivity of frequency shifts to minor damages is relatively low which requires more accurate measurements [1,2]. Salawu [3] stated that the advantages of using natural frequencies are its simplicity in both modal analysis and detection algorithm. Friswell, et al. [4] used frequency shifts of the first n modes for undamaged structure and some proposed damage scenarios. Then they calculated the ratios of all frequency shifts between undamaged and each damaged scenarios. To detect the probable damage in a candidate structure, the same ratios were computed and checked if it lies in any of the damage classes.Other modal parameter that can be used for damage detection purposes is mode shape. Fox [5] used the modal assurance criteria (MAC) to determine the relations between the mode shapes of undamaged and damaged structures. They suggested the MAC based on measurement points close to a node point is a more sensitive indicator of changes in the mode shape caused by damage. One of the most reported detection methods based on mode shapes uses modal strain energy as an indicator to represent damage. Modal strain energy was developed by Stubbs et al. [6] and was successfully applied to onedimensional beam type structures for damage localization. However its application for two and three-dimensional frame type structures was not as promising. Yang and...

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Section: Review Of Damage Detection Methodsmentioning

confidence: 96%

Reliability of Dynamically Measured Flexibility Matrix on Damage Detection of Frame Structures

Monajemi

Razak

Ismail

2012

Topics in Modal Analysis II, Volume 6

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“…Stutz et al present a flexibility-based continuum damage identification approach [23]. Yan and Golinval studied a damage localization method by combining flexibility and stiffness methods [24]. Yang and Liu defined a damage localization criterion to locate structural damage, which makes use of the change of flexibility matrix and the stiffness matrix of the intact structure [25].…”

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confidence: 99%

Damage identification by the eigenparameter decomposition of structural flexibility change

Yang

Liu²

2008

Numerical Meth Engineering

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SUMMARYThe use of changes in dynamically measured flexibility matrices to detect structural damage has received considerable attention during the last years. A new flexibility-based method is proposed in this study to provide an insight to the characterizations of structural damage. The presented method makes use of the eigenparameter decomposition of structural flexibility change and approaches the damage identification problem in a decoupled manner. First, a theory is developed to determine the number of damaged elements according to the number of non-zero eigenvalues of structural flexibility change. With the number of damaged elements determined, the localization and quantification algorithms are then developed. The proposed method is applied to three numerical examples and its efficiency is demonstrated through damage simulations.

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“…The nonmodel-based methods detect damage through vibrational signals directly without use of a structural model. The non-model-based methods mainly include methods based on the change in natural frequency (Lee and Chung, 2000;Kim et al, 2003), the change of structural vibration mode (Khoo et al, 2004), the change of structural flexibility or stiffness (Yan and Golinval, 2005), the transfer function (Park and Park, 2005), the statistic information (Iwasaki et al, 2004;López-Díez et al, 2005;Garcia-Perez et al, 2013), the power flow (Li et al, 2004), and so on. The model-based methods detect damage based on predetermined structural models, in which the model updating methods are widely used (Sinha and Friswell, 2003;Sadr et al, 2007;Zhao et al, 2009;Lei et al, 2012;Liu and Duan, 2012;Erdogan and Bakir, 2013;Liu et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

An in-time damage identification approach based on the Kalman filter and energy equilibrium theory

Huang

Dyke

2015

J. Zhejiang Univ. Sci. A

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Abstract:In research on damage identification, conventional methods usually face difficulties in converging globally and rapidly. Therefore, a fast in-time damage identification approach based on the Kalman filter and energy equilibrium theory is proposed to obtain the structural stiffness, find the locations of damage, and quantify its intensity. The proposed approach establishes a relationship between the structural stiffness and acceleration response by means of energy equilibrium theory. After importing the structural energy into the Kalman filter algorithm, unknown parameters of the structure can be obtained by comparing the predicted energy and the measured energy in each time step. Numerical verification on a highway sign support truss with and without damage indicates that the updated Young's modulus can converge to the true value rapidly, even under the effects of external noise excitation. In addition, the calculation time taken for each step of the approach is considerably shorter than the sampling period (1/256 s), which means that, this approach can be implemented in-time and on-line.

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Structural damage localization by combining flexibility and stiffness methods

Cited by 62 publications

References 16 publications

Reliability of Dynamically Measured Flexibility Matrix on Damage Detection of Frame Structures

Reliability of Dynamically Measured Flexibility Matrix on Damage Detection of Frame Structures

Damage identification by the eigenparameter decomposition of structural flexibility change

An in-time damage identification approach based on the Kalman filter and energy equilibrium theory

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