Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs

Duan, Zhongdong; Yan, Guirong; Ou, Jinping; Spencer, Billie F.

doi:10.1002/stc.149

Cited by 51 publications

(32 citation statements)

References 4 publications

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“…Subscript g represents the variables in the original global structure before disassembly. The global flexibility matrix can be formulated with sufficient accuracy using a few of the lowest measured modes [15][16].…”

Section: Disassembly Of Global Flexibility With Full Dof Measurementmentioning

confidence: 99%

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Inverse substructure method for model updating of structures

Weng¹,

Xia²,

Zhou³

et al. 2012

Journal of Sound and Vibration

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Traditional model updating of large-scale structures is usually time-consuming because the global structural model needs to be repeatedly re-analyzed as a whole to match global measurements. This paper proposes a new substructural model updating method. The modal data measured on the global structure are disassembled to obtain the independent substructural dynamic flexibility matrices under force and displacement compatibility conditions. The method is extended to the case when the measurement is carried out at partial degrees-of-freedom of the structure. The extracted substructural flexibility matrices are then used as references for updating the corresponding substructural models. An orthogonal projector is employed on both the extracted substructural measurements and the substructural models to remove the rigid body modes of the free-free substructures. Compared with the traditional model updating at the global structure level, only the sub-models at the substructural level are re-analyzed in the proposed substructure-based model updating process, resulting in a rapid convergence of optimization.Moreover, only measurement on the local area corresponding to the concerned substructures is required, and those on other components can be avoided. The effectiveness and efficiency of the proposed substructuring method are verified through applications to a laboratory-tested frame structure and a large-scale 600 m tall Guangzhou New TV Tower. The present technique is referred to as the inverse substructuring model updating method as the measured global modal data are disassembled into the substructure level and then the updating is conducted on the substructures only. This differs from the substructuring model updating method previously This is the Pre-Published Version. 2 proposed by the authors, in which the model updating is still conducted in the global level and the numerical global modal data are assembled from those of substructures. That can be referred to as the forward substructuring model updating method.

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Section: Disassembly Of Global Flexibility With Full Dof Measurementmentioning

confidence: 99%

“…The partial flexibility matrix estimated at the measured DOFs is directly related to the corresponding rows and columns of the full flexibility [15].…”

Section: Disassembly Of Global Flexibility With Partial Dof Measurementmentioning

confidence: 99%

Inverse substructure method for model updating of structures

Weng¹,

Xia²,

Zhou³

et al. 2012

Journal of Sound and Vibration

View full text Add to dashboard Cite

show abstract

“…In contrast, the modal displacements (mode shapes) provide spatial information about structural dynamics . Having considered such benefits, one can effectively utilize the modal data in vibration‐based applications such as FEMU and damage detection . As an alternative, it is feasible to apply energy‐based modal functions such as modal strain energy (MSE) and modal kinetic energy (MKE) to the mentioned applications.…”

Section: Introductionmentioning

confidence: 99%

A sensitivity‐based finite element model updating based on unconstrained optimization problem and regularized solution methods

Rezaiee‐Pajand

Entezami

Sarmadi

2020

Struct Control Health Monit

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Summary An effective and reliable approach to updating finite element (FE) models of real structures is to utilize a sensitivity‐based strategy. A challenging issue concerning the sensitivity‐based finite element model updating (FEMU) is to create a well‐established framework for updating the inherent structural properties of FE models under incomplete noisy modal data. When noise contaminates the measured modal parameters, another challenging issue stems from the ill‐posedness of the FEMU inverse problem. This article proposes an innovative sensitivity‐based FEMU strategy based on the combination of modal kinetic energy and modal strain energy for simultaneously updating the element mass and stiffness matrices of FE models. The great novelty of this strategy is to get an idea from the unconstrained optimization problem for the establishment of a sensitivity‐based FEMU framework. The correction of the element mass and stiffness matrices in a simultaneous way is another novelty of the proposed FEMU strategy. Moreover, new iterative and hybrid regularization methods under the Krylov subspace theory and bidiagonalization process are presented to solve the ill‐posed inverse problem of FEMU. The accuracy and reliability of the proposed methods are numerically validated by a two‐story concrete frame and a two‐span continuous steel truss along with some comparative analyses. Results demonstrate that the suggested sensitivity‐based strategy and regularized solution methods are influential and successful in FEMU under incomplete noisy modal data.

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“…The PFM was integrated in the Damage Locating Vectors (DLV) method developed by Bernal (2002) [5]. In a subsequent publication [6], Duan et al (2007) detected damage at a simulated planar truss structure, where only 23 out of simulated 53 DOFs were used to calculate the PFM.…”

Section: Introductionmentioning

confidence: 99%

Health Monitoring Based on Dynamic Flexibility Matrix: Theoretical Models versus <i>In-Situ</i> Tests

Schommer

Mahowald

Nguyễn

et al. 2017

ENG

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The paper focuses on damage detection of civil engineering structures and especially on concrete bridges. A method for structural health monitoring based on vibrational measurements is presented and discussed. Experimentally identified modal parameters (eigenfrequencies, mode shapes and modal masses) of bridge structures are used to calculate the inverse stiffness matrix, the so-called flexibility matrix. By monitoring of the stiffness matrix, damage can easily be detected, quantified and localized by tracking changes of its individual elements. However, based on dynamic field measurements, the acquisition of the flexibility matrix instead of the stiffness matrix is often the only choice and hence more relevant for practice. But the flexibility-based quantification and localisation of damage are often possible but more difficult, as it depends on the type of support and the location of the damage. These issues are discussed and synthetized, that is an originality of this paper and is believed useful for engineers in the damage detection of different bridge structures. First the theoretical background is briefly repeated prior to the illustration of the differences between stiffness and flexibility matrix on analytical and numerical examples. Then the flexibility-based detection is demonstrated on two true bridges with real-time measurement data and the results are promising.

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Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs

Cited by 51 publications

References 4 publications

Inverse substructure method for model updating of structures

Inverse substructure method for model updating of structures

A sensitivity‐based finite element model updating based on unconstrained optimization problem and regularized solution methods

Health Monitoring Based on Dynamic Flexibility Matrix: Theoretical Models versus <i>In-Situ</i> Tests

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Damage detection in ambient vibration using proportional flexibility matrix with incomplete measured DOFs

Cited by 51 publications

References 4 publications

Inverse substructure method for model updating of structures

Inverse substructure method for model updating of structures

A sensitivity‐based finite element model updating based on unconstrained optimization problem and regularized solution methods

Health Monitoring Based on Dynamic Flexibility Matrix: Theoretical Models versus &lt;i&gt;In-Situ&lt;/i&gt; Tests

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Health Monitoring Based on Dynamic Flexibility Matrix: Theoretical Models versus <i>In-Situ</i> Tests