Detection of cracks in beam structures using measurements of natural frequencies

Liang, Robert Y.; Choy, F. K.; Hu, Jialou

doi:10.1016/0016-0032(91)90023-v

Cited by 156 publications

(63 citation statements)

References 7 publications

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“…The identification of a single transverse crack in a beam is popularly studied using the lowest three natural frequencies which can be easily obtained (Chen et al 2005;Chinchalkar 2001;Kim and Stubbs 2003;Liang et al 1991;Nandwana and Maiti 1997;Owolabi et al 2003). However, simultaneous detection of crack parameters is much more involved and complex than the identification of single crack.…”

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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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%

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

Mazanoglu

2015

Lat. Am. j. solids struct.

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“…Among the aforementioned crack identification methods, greater attention has been devoted to solve the crack problem based on changes of fundamental frequencies. Liang et al [11] developed a frequency contour plot method based on measurements of the first three natural frequencies to detect a crack in a beam. Nandwana and Maiti [12] have been extended the method to stepped beams.…”

Section: Cmss-2017mentioning

confidence: 99%

Comparative study of direct and inverse problems of cracked beams

Mahieddine

Lassoued

2018

MATEC Web Conf.

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Abstract. In recent decades, the analysis and evaluation of the cracked structures were hot spots in several engineering fields and has been the subject of great interest with important and comprehensive surveys covering various methodologies and applications, in order to obtain reliable and effective methods to maintain the safety and performance of structures on a proactive basis. The presence of a crack, not only causes a local variation in the structural parameters (e.g., the stiffness of a beam) at its location, but it also has a global effect which affects the overall dynamic behavior of the structure (such as the natural frequencies). For this reason, the dynamic characterization of the cracked structures can be used to detect damage from non-destructive testing. The objective of this paper is to compare the accuracy and ability of two methods to correctly predict the results for both direct problem to find natural frequencies and inverse problem to find crack's locations and depths of a cracked simply supported beam. Several cases of crack depths and crack locations are investigated. The crack is supposed to remain open. The Euler-Bernoulli beam theory is employed to model the cracked beam and the crack is represented as a rotational spring with a sectional flexibility. In the first method, the transfer matrix method is used; the cracked beam is modeled as two uniform sub-segments connected by a rotational spring located at the cracked section. In the second method which is based on the Rayleigh's method, the mode shape of the cracked beam is constructed by adding a cubic polynomial function to that of the undamaged beam. By applying the compatibility conditions at crack's location and the corresponding boundary conditions, the general forms of characteristic equations for this cracked system are obtained. The two methods are then utilized to determine the locations and depths by using any two natural frequencies of a cracked simply supported beam obtained from measurements as inputs. The two approaches are compared with a number of numerical examples for simply supported beams including one crack. The theoretical results show that the accuracy of the Rayleigh's method to predict natural frequencies decreases for higher modes when crack depth increases. It is also found that for the inverse problem, the transfer matrix method show a good agreement with those obtained from previous works done in this field.

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“…Liang et al [11] developed a method based on three bending natural frequencies for the detection of crack location and quantification of damage magnitude in a uniform beam under simply supported or cantilever boundary conditions. The method involves representing crack as a rotational spring and obtaining plots of its stiffness with crack location for any three natural modes through the characteristic equation.…”

Section: The Inverse Problemmentioning

confidence: 99%

Vibration-based Damage Identification Methods: A Review and Comparative Study

Fan

Qiao

2010

Structural Health Monitoring

1,628

215

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A comprehensive review on modal parameter-based damage identification methods for beam-or plate-type structures is presented, and the damage identification algorithms in terms of signal processing are particularly emphasized. Based on the vibration features, the damage identification methods are classified into four major categories: natural frequency-based methods, mode shape-based methods, curvature mode shape-based methods, and methods using both mode shapes and frequencies, and their merits and drawbacks are discussed. It is observed that most mode shape-based and curvature mode shape-based methods only focus on damage localization. In order to precisely locate the damage, the mode shape-based methods have to rely on optimization algorithms or signal processing techniques; while the curvature mode shape-based methods are in general a very effective type of damage localization algorithms. As an implementation, a comparative study of five extensively-used damage detection algorithms for beam-type structures is conducted to evaluate and demonstrate the validity and effectiveness of the signal processing algorithms. This brief review aims to help the readers in identifying starting points for research in vibration-based damage identification and structural health monitoring and guides researchers and practitioners in better implementing available damage identification algorithms and signal processing methods for beam-or plate-type structures.

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Detection of cracks in beam structures using measurements of natural frequencies

Cited by 156 publications

References 7 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

Comparative study of direct and inverse problems of cracked beams

Vibration-based Damage Identification Methods: A Review and Comparative Study

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