An integrated approach to detection of cracks using vibration characteristics

Hu, Jialou; Liang, Robert Y.

doi:10.1016/0016-0032(93)90080-e

Cited by 100 publications

(57 citation statements)

References 9 publications

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“…Boundary conditions (12), (13), (17) and (18) allow the system of equations (11) to be completed, such that there are (n + 4) linear equations with (n + 4) unknowns. Moreover, the system can be written as:…”

mentioning

confidence: 99%

Natural Frequencies of a Beam With an Arbitrary Number of Cracks

Shifrin

Ruotolo

1999

Journal of Sound and Vibration

218

110

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mentioning

confidence: 99%

Natural Frequencies of a Beam With an Arbitrary Number of Cracks

Shifrin

Ruotolo

1999

Journal of Sound and Vibration

218

110

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“…The frequency contour plot method [1,[4][5][6][7][8][9][10][11] had been one of the most favored methods of crack detection in beams where the concept of the massless rotational spring model was crucial. Liang et al [1] proposed the frequency contour method in which the crack was modeled as a massless rotational spring.…”

Section: Introductionmentioning

confidence: 99%

Identification of a crack in a beam by the boundary element method

Lee

2010

J Mech Sci Technol

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A method to detect a crack in a beam is presented. The crack is not modeled as a massless rotational spring, and the forward problem is solved for the natural frequencies using the boundary element method. The inverse problem is solved iteratively for the crack location and the crack size by the Newton-Raphson method. The present crack identification procedure is applied to the simulation cases which use the experimentally measured natural frequencies as inputs, and the detected crack parameters are in good agreements with the actual ones. The present method enables one to detect a crack in a beam without the help of the massless rotational spring model.

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“…It was found that the frequency sensitivity was proportional to the potential energy stored, for the relevant mode shape at the cross section where the crack occurs and the ratio of frequency changes were independent of the severity of the crack. An integrated technique, based on the vibration theory to nondestructively identify two discrete cracks in a simply supported beam was presented in [24]. They used two damage modeling techniques, one involving the use of massless, infinitesimal spring to represent the discrete cracks and other employing continuum damage concept.…”

Section: Introductionmentioning

confidence: 99%

On the modelling of dynamic structures with discontinuities

2011

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A method of simulation is developed for studying the dynamics of the structures with discontinuities using Matlab-Simulink. The concept of dynamic compliance is used for modeling the continuous elements of the structure and the local discontinuity is modeled as nonlinear feedback. As an example, a one-dimensional model of cracked bar under harmonic loading is considered for the simulation purpose.

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An integrated approach to detection of cracks using vibration characteristics

Cited by 100 publications

References 9 publications

Natural Frequencies of a Beam With an Arbitrary Number of Cracks

Natural Frequencies of a Beam With an Arbitrary Number of Cracks

Identification of a crack in a beam by the boundary element method

On the modelling of dynamic structures with discontinuities

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