Crack Modeling for Structural Health Monitoring

Friswell, Michael I.; Penny, J.E.T.

doi:10.1177/1475921702001002002

Cited by 230 publications

(131 citation statements)

References 21 publications

(29 reference statements)

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“…In this regime, the system will effectively behave as a linear system and the coherence function for input and output will be near unity as shown in Figure 15 As the excitation is increased, the nonlinear terms will begin to play a part, and the coherence will drop as shown in Figure 16. This type of situation will occur for all polynomial nonlinearities and systems exhibiting piecewise-linear stiffness like those induced by a breathing crack [25]. However, if one considers Coulomb friction, the opposite occurs.…”

Section: La-14353-msmentioning

confidence: 99%

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Nonlinear System Identification for Damage Detection

Farrar¹,

Worden²,

Todd³

et al. 2007

100

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Section: La-14353-msmentioning

confidence: 99%

“…This report has been developed based on information exchanges at a two-day workshop on nonlinear system identification for damage detection that was held July [25][26]2006, at Los Alamos National Laboratory. The workshop is the second in a series hosted by the LANL/UCSD Engineering Institute (EI).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear System Identification for Damage Detection

Farrar¹,

Worden²,

Todd³

et al. 2007

100

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show abstract

“…A number of approaches can be used to model cracks in beams. In this research, the cracks were simulated by reducing the stiffness of a particular element of the structure locally [46]. This approach can approximate the stiffness changes for beams with open cracks under low frequency vibrations, as compared to breathing cracks, which open and close and produce non-linear dynamics [47].…”

Section: Simulated Simply Supported Beam 1 (Case 1)mentioning

confidence: 99%

Structural Damage Detection with Different Objective Functions in Noisy Conditions Using an Evolutionary Algorithm

et al. 2017

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Dynamic properties such as natural frequencies and mode shapes are directly affected by damage in structures. In this paper, changes in natural frequencies and mode shapes were used as the input to various objective functions for damage detection. Objective functions related to natural frequencies, mode shapes, modal flexibility and modal strain energy have been used, and their performances have been analyzed in varying noise conditions. Three beams were analyzed: two of which were simulated beams with single and multiple damage scenarios and one was an experimental beam. In order to do this, SAP 2000 (v14, Computers and Structures Inc., Berkeley, CA, United States, 2009) is linked with MATLAB (r2015, The MathWorks, Inc., Natick, MA, United States, 2015). The genetic algorithm (GA), an evolutionary algorithm (EA), was used to update the damaged structure for damage detection. Due to the degradation of the performance of objective functions in varying noisy conditions, a modified objective function based on the concept of regularization has been proposed, which can be effectively used in combination with EA. All three beams were used to validate the proposed procedure. It has been found that the modified objective function gives better results even in noisy and actual experimental conditions.

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“…So it can be assumed that the increase of strain energy due to crack growth, under constant applied moment, is concentrated mainly around the crack region. The energy consumed for crack growth along the beam defined by [3][4], equation1, ( figure (3)). …”

Section: Energy Expressionmentioning

confidence: 99%

Differential Quadrature Method Based Study of Vibrational Behaviour of Inclined Edge Cracked Beams

Srivastava

Raju

2017

MATEC Web Conf.

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The study of vibration behaviour of cracked system is an important area of research. In the present work we present a mathematical model to study the effect of inclination, location and size of the crack on the vibrational behavior of beam with different boundary conditions. The model is based on the assumption that the equivalent flexible rigidity of the cracked beam can be written in terms of the flexible rigidity of the uncracked beam, based on the energy approach as proposed by earlier researchers. In the present work the Differential Quadrature Method (DQM) is used to solve equation of motion derived by using Euler's beam theory. The primary interest of the paper is to study the effect of inclined crack on natural frequency. We have also studied the beam vibration with and without vertical edge crack as a special case to validate the model. The DQM results for the natural frequencies of cracked beams agree well with other literature values and ANSYS solutions.

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Crack Modeling for Structural Health Monitoring

Cited by 230 publications

References 21 publications

Nonlinear System Identification for Damage Detection

Nonlinear System Identification for Damage Detection

Structural Damage Detection with Different Objective Functions in Noisy Conditions Using an Evolutionary Algorithm

Differential Quadrature Method Based Study of Vibrational Behaviour of Inclined Edge Cracked Beams

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