Damage Assessment of Multiple Cracked Beams: Numerical Results and Experimental Validation

Ruotolo, Romualdo; Surace, Cecilia

doi:10.1006/jsvi.1997.1109

Cited by 173 publications

(98 citation statements)

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“…After that, methodology of crack identification, which employs the natural frequencies obtained by the forward analyses, is detailed. Then, several cracked beam scenarios are considered for discussing the results that are verified using the natural frequency ratios obtained by both the commercial finite element package (ANSYS©) and some experiments given by Kim and Stubbs (2003), Mazanoglu and Sabuncu (2012), Ruotolo and Surace (1997). Finally, achievements and shortcomings of the methods are clearly stated.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 24mentioning

confidence: 99%

“…Their method reveals quite satisfactory results provided proper initial guesses are made for convergence of the solution. Ruotolo and Surace (1997) propose a solution procedure employing a genetic algorithm and the results of the finite element model for the detection of multiple cracks in beams. Krawczuk (2002) uses the wave propagation approach combined with an iterative searching strategy including two methods for damage detection in beam-like structures.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 24mentioning

confidence: 99%

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A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

Mazanoglu

2015

Lat. Am. j. solids struct.

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In this paper, natural frequency based forward and inverse methods are proposed for identifying multiple cracks in beams. Forward methods include simplified definition of the natural frequency drops caused by the cracks. The ratios between natural frequencies obtained from multi-cracked and un-cracked beams are determined by an approach that uses the local flexibility model of cracks. This approach does not consider nonlinear crack effects that can be easily neglected when the number of cracks is not excessive. In addition, an expression, which removes the necessity of repeating natural frequency analyses, is given for identifying the connection between the crack depths and natural frequency drops. These simplified approaches play crucial role in solving inverse problem using constituted crack detection methodology. Solution needs a number of measured modal frequency knowledge two times more than the number of cracks to be detected. Efficiencies of the methods are verified using the natural frequency ratios obtained by the finite element package. The crack detection methodology is also validated using some experimental natural frequency ratios given in current literature. Results show that the locations and depths ratios of cracks are successfully predicted by using the methods presented.

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Section: Latin American Journal Of Solids and Structures 12 (2015) 24mentioning

confidence: 99%

Section: Latin American Journal Of Solids and Structures 12 (2015) 24mentioning

confidence: 99%

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

Mazanoglu

2015

Lat. Am. j. solids struct.

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“…They expressed the changes in dynamic behavior as a function of crack location and extent. Ruotolo and Surace (1997) studied the inverse problem of the crack detection of beam structures utilizing natural frequencies and mode shapes. They formulated the crack detection process (estimating the location and extent of cracks) as an optimization problem, and solved it by genetic algorithm when the number of cracks was known.…”

Section: Introductionmentioning

confidence: 99%

Multicrack Detection on Semirigidly Connected Beams Utilizing Dynamic Data

Lam

Leung

2008

J. Eng. Mech.

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The problem of crack detection has been studied by many researchers, and many methods of approaching the problem have been developed. To quantify the crack extent, most methods follow the model updating approach. This approach treats the crack location and extent as model parameters, which are then identified by minimizing the discrepancy between the modeled and the measured dynamic responses. Most methods following this approach focus on the detection of single-crack or multi-crack in situations in which the number of cracks is known. The main objective of this paper is to address the crack detection problem in a general situation in which the number of cracks is not known in advance.The crack detection methodology proposed in this paper consists of two phases. In the first phase, different classes of models are employed to model the beam with different numbers of cracks, and the Bayesian model class selection method is then employed to identify the most plausible class of models based on the set of measured dynamic data in order to identify the number of cracks on the beam. In the second phase, the posterior (updated) probability density function (PDF) of the crack locations and the corresponding extents is calculated using the Bayesian statistical framework. As a result, the uncertainties that may have been introduced by measurement noise and modeling error can be explicitly dealt with.The methodology proposed herein has been verified by and demonstrated through a comprehensive series of numerical case studies, in which noisy data was generated by a Bernoulli-Euler beam with semi-rigid connections. The results of these studies show that the proposed methodology can correctly identify the number of cracks even when the crack extent is small. The effects of measurement noise, modeling error, and the complexity of the class of identification model on the crack detection results have also been studied and are discussed in this paper.

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“…But they indicated that the obtained results show that the procedure developed works effectively only for measurement errors not exceeding 7%. Ruotolo and Surace [4] proposed to identify multiple cracks by using the inverse problem as an optimization task solved by means of a genetic algorithm. They validated this damage assessment technique by considering both simulated and experimental data and demonstrated that this method permits assessment of the number of cracks induced on the beam and can estimate the crack positions and depths with satisfactory precision.…”

Section: Introductionmentioning

confidence: 99%

Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method

Faverjon

Sinou

2008

Journal of Sound and Vibration

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To cite this version:Béatrice Faverjon, Jean-Jacques Sinou. Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method. Journal of Sound and Vibration, Elsevier, 2008, 312, pp.821-837 AbstractThe aim of this paper is to present a damage assessment technique for the non destructive detection and sizing of multiple open cracks in beams. The Constitutive Relation Error updating method is used for the identification of the location and the size of multi-cracks in a simply supported beam. The present identification method is illustrated through numerical examples including double and triples cracks. Moreover, the efficiency and robustness of the proposed method is demonstrated through various numerical simulations in regard to the non-dimensional crack depth and the crack location. It is demonstrated that the Constitutive Relation Error updating method can detect the number of cracks on the beam and can estimate both the crack positions and sizes with satisfactory precision, even if 10% or 20% noise levels has been added to the simulations, and only few degrees of freedom are used for the identification procedure.

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Damage Assessment of Multiple Cracked Beams: Numerical Results and Experimental Validation

Cited by 173 publications

References 0 publications

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

A Novel Methodology Using Simplified Approaches for Identification of Cracks in Beams

Multicrack Detection on Semirigidly Connected Beams Utilizing Dynamic Data

Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method

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