2014
DOI: 10.1016/j.ijmecsci.2014.03.022
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Detection of longitudinal cracks in long and short beams using changes in natural frequencies

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Cited by 25 publications
(12 citation statements)
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“…Khiem and Toan 10 have proposed a method for calculating the natural frequencies of a multiple cracked beam and detecting unknown number of multiple cracks from the measured natural frequencies. Thalapil and Maiti 11 have developed an analytical method to address both forward problem of determination of natural frequencies knowing the beam and crack geometry details as well as inverse problem of detection of crack with the knowledge of changes in the beam natural frequencies. Both long (EulerBernoulli) and short (Timoshenko) beams have been examined numerically.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Khiem and Toan 10 have proposed a method for calculating the natural frequencies of a multiple cracked beam and detecting unknown number of multiple cracks from the measured natural frequencies. Thalapil and Maiti 11 have developed an analytical method to address both forward problem of determination of natural frequencies knowing the beam and crack geometry details as well as inverse problem of detection of crack with the knowledge of changes in the beam natural frequencies. Both long (EulerBernoulli) and short (Timoshenko) beams have been examined numerically.…”
Section: Literature Reviewmentioning
confidence: 99%
“…JeslinThalapil, [10] has presented method for detection of longitudinal cracks in long and short beams using changes in natural frequencies. The accuracy of this method for prediction of natural frequencies is illustrated by case studies involving both long and short beams with known longitudinal crack details.…”
Section: The Damping Ratio Increases At Measurable Levelmentioning
confidence: 99%
“…They developed an algebric equation which was solved numerically and then coefficients of trigonometric and hyperbolic terms in mode shapes are found using matrices obtained from compatibility conditions at each point of cracks and boundary conditions. Thalapil and Maiti 12 developed an analytical method to address both the forward problem of determination of natural frequencies knowing the beam and crack geometry details as well as an inverse problem of detection of crack with the knowledge of changes in the beam natural frequencies. Both long (Euler-Bernoulli) and short (Timoshenko) beams have been examined numerically.…”
Section: Introductionmentioning
confidence: 99%