Detection of the Location and Size of a Crack in Stepped Cantilever Beams Based on Measurements of Natural Frequencies

Nandwana, B. P.; Maiti, Sukumar

doi:10.1006/jsvi.1996.0856

Cited by 151 publications

(97 citation statements)

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“…Apart from variational techniques, see, for example, [14][15][16][17][18][19][20][21], the approach generally adopted consists in solving numerically the nonlinear system of the frequency equations written for the first two natural frequencies. We refer, among others, to the studies carried out in [22][23][24][25][26]. All the known results support the conjecture that the inverse problem has positive answer.…”

supporting

confidence: 59%

Unique determination of a single crack in a uniform simply supported beam in bending vibration

Fernández-Sáez

Morassi

Pressacco

et al. 2016

Journal of Sound and Vibration

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supporting

confidence: 59%

Unique determination of a single crack in a uniform simply supported beam in bending vibration

Fernández-Sáez

Morassi

Pressacco

et al. 2016

Journal of Sound and Vibration

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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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“…The numerical model is used to simulate damage scenarios at various locations in the structure and the corresponding natural frequencies are calculated. Vibration data is then collected from the structure and the damage location/severity is estimated by matching the observed natural frequencies to those calculated by the numerical model [6][7][8]. Salawu [8] presents a review of papers dealing with the detection of structural damage using frequency changes.…”

Section: Introductionmentioning

confidence: 99%

An investigation into the acceleration response of a damaged beam-type structure to a moving force

González

Hester

2013

Journal of Sound and Vibration

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Publication information Journal of Sound and Vibration, 332 (13): 3201-3217Publisher Elsevier Item record/more information http://hdl.handle.net/10197/6212 Publisher's statementThis is the author's version of a work that was accepted for publication in Journal of Sound and Vibration. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Sound and Vibration (VOL 332, ISSUE 13, (2013) that did not appear in the healthy structure is present in the response of the damaged structure. This paper elucidates from first principles how the acceleration response can be assumed to consist of 'static' and 'dynamic' components, and where the beam has experienced a localised loss in stiffness, an additional 'damage' component. The combination of these components establishes how the damage singularity will appear in the total response.For a given damage severity, the amplitude of the 'damage' component will depend on how close the damage location is to the sensor, and its frequency content will increase with higher velocities of the moving force. The latter has implications for damage detection because if the frequency content of the 'damage' component includes bridge and/or vehicle frequencies, it becomes more difficult to identify damage. The paper illustrates how a thorough understanding of the relationship between the 'static' and 'damage' components contributes *Manuscript Click here to download Manuscript: Manuscript RevC.doc Click here to view linked References 2 to establish if damage has occurred and to provide an estimation of its location and severity.The findings are corroborated using accelerations from a planar finite element simulation model where the effects of force velocity and bridge span are examined.

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Detection of the Location and Size of a Crack in Stepped Cantilever Beams Based on Measurements of Natural Frequencies

Cited by 151 publications

References 0 publications

Unique determination of a single crack in a uniform simply supported beam in bending vibration

Unique determination of a single crack in a uniform simply supported beam in bending vibration

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

An investigation into the acceleration response of a damaged beam-type structure to a moving force

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