Experimental validation of the higher-order derivative discontinuity method for damage identification

Gauthier, Javier F.; Whalen, Timothy M.; Liu, Judy

doi:10.1002/stc.210

Cited by 30 publications

(18 citation statements)

References 12 publications

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“…The behavior of higher-order derivatives has been numerically studied and experimentally validated in damaged beam-like structures [96,97]. Especially, the mode shape derivatives have been widely used to localize damage in laminated composite structures.…”

Section: Modal Domain Methodsmentioning

confidence: 99%

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

2017

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Abstract:Research on detecting structural damage at the earliest possible stage has been an interesting topic for decades. Among them, the vibration-based damage detection method as a global technique is especially pervasive. The present study reviewed the state-of-the-art on the framework of vibration-based damage identification in different levels including the prediction of the remaining useful life of structures and the decision making for proper actions. This framework consists of several major parts including the detection of damage occurrence using response-based methods, building reasonable structural models, selecting damage parameters and constructing objective functions with sensitivity analysis, adopting optimization techniques to solve the problem, predicting the remaining useful life of structures, and making decisions for the next actions. For each part, the commonly used methods were reviewed and the merits and drawbacks were summarized to give recommendations. This framework is aimed to guide the researchers and engineers to implement step by step the structure damage identification using vibration measurements. Finally, the future research work in this field is recommended.

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Section: Modal Domain Methodsmentioning

confidence: 99%

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

2017

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“…They carried out vibration measurements on the structure under ambient or controlled excitation and correlated damping with damage. Gauthier et al [10] proposed a damage identification method for beam structures based on the fourth derivatives of the mode shapes and demonstrated its application through laboratory and field applications. This method does not require a reference to the undamaged state and was accurate in locating damage corresponding to stiffness reductions as low as 0.15%.…”

Section: Vibration-based Damage Assessmentmentioning

confidence: 99%

Damage detection in slab-on-girder bridges using vibration characteristics

Shih

Thambiratnam

Chan

2012

Struct. Control Health Monit.

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This paper develops and applies a multi‐criteria procedure, incorporating changes in natural frequencies, modal flexibility and the modal strain energy, for damage detection in slab‐on‐girder bridges. The proposed procedure is first validated through experimental testing of a model bridge. Numerically simulated modal data obtained through finite element analyses are then used to evaluate the vibration parameters before and after damage and used as the indices for assessment of the state of structural health. The procedure is illustrated by its application to full scale slab‐on‐girder bridges under different damage scenarios involving single and multiple damages on the deck and girders. Copyright © 2012 John Wiley & Sons, Ltd.

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“…One can identify the mode shape curvature difference indicator [3] in Equation (15) and the damage index [4] in Equation (16) with p = 2. The behaviour and experimental validation of mode shapes higher order derivatives have been reported recently [17,18]. The M CD and M DI indicators with p = 1 were proposed and applied to experimental data in [13].…”

Section: Undamaged and Damaged Beam Modelsmentioning

confidence: 99%

“…The following damage localisations were performed based on computations with matrices of order 200 × 200 and p = 2, p = 4 in Equations (15) and (16) and p = 1, p = 3 in Equations (17) and (18). In other words, localisations are based on second and fourth order derivatives of the displacement fields w and w and first and third order derivatives of the rotation fields φ and φ, respectively.…”

Section: Damage Localisationmentioning

confidence: 99%

A damage localisation method based on higher order spatial derivatives of displacement and rotation fields

Santos

Lopes

Maia

2011

J. Phys.: Conf. Ser.

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A damage localisation method based on higher order spatial derivatives of displacement and rotation fields Abstract. This paper presents the development of a damage localisation method based on low and higher order spatial derivatives of displacement and rotation fields. The method relies on the Timoshenko beam theory, the Hamilton's principle and the Ritz method, allowing the computation of an approximate analytical solution of natural frequencies, displacement and rotation fields. Since these fields are expressed analytically, through a series expansion, the spatial derivatives are also obtained analytically. Besides the usual curvature difference and damage index, which are based on comparisons of second order spatial derivative of the displacement field of a beam in the undamaged and damaged states, other damage indicators are proposed. These new indicators rely on spatial derivatives of rotation fields. The indicators are applied to the localisation of various cases of damages in beams and a comparison among them is carried out. It is found that, for relatively thick beams, the values of the indicators based on rotation fields spatial derivatives are, in general, lower than those based on displacement fields. It is also observed that these differences are negligible for beams with high length to thickness ratio. IntroductionSeveral methods for structural damage identification, based on vibration characteristics, have been proposed over the past decades [1,2]. The main idea behind them is that whenever there is damage in a structure, its stiffness, mass and damping properties change, therefore changing its dynamic behaviour.The mode shape curvature method, firstly developed by Pandey et al.[3], allows, under certain conditions, the localisation of damage. In this work the curvatures of beams are computed using a second order central finite difference. However, if sparse and noisy displacement fields are used, this differentiation scheme can lead to false localisations of damage. This problem is mainly due to the intrinsic error of the finite difference numerical technique using sparse data and the amplification of noise present in the measurements. A method also based on mode shapes curvatures is the damage index method proposed by Stubbs et al. [4], which relates the second spatial derivative of the undamaged and damaged displacement fields in each segment or element of the structure.These two damage identification methods and similar ones, such as the frequency response functions (FRF) curvatures method [5], have been applied and improved over the years (e.g. [6]-[12]). However, the curvatures are usually computed based on a differentiation of a relatively

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Experimental validation of the higher-order derivative discontinuity method for damage identification

Cited by 30 publications

References 12 publications

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

The State-of-the-Art on Framework of Vibration-Based Structural Damage Identification for Decision Making

Damage detection in slab-on-girder bridges using vibration characteristics

A damage localisation method based on higher order spatial derivatives of displacement and rotation fields

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