2015
DOI: 10.1590/1679-78251795
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Early Structural Damage Assessment by Using an Improved Frequency Evaluation Algorithm

Abstract: This paper introduces a method to identify damages in beam-like structures by analyzing the natural frequency changes of the first six transversal vibration modes. A correlation between the damage location and frequency change is established for each mode separately, by considering the modal strain energy stored in that location. The mathematical relation describing this correlation is used to characterize the dynamic behavior of a beam with a damage of known position and to derive its Damage Location Indicato… Show more

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Cited by 30 publications
(7 citation statements)
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“…These dynamic responses contain information regarding the locations and sizes of the crack(s). Many researchers have focused on the vibration characteristics of cracked beams [ 1 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. Ostachowicz and Krawczuk (1991) modelled the crack as a torsional spring model and calculated the natural frequencies of single-sided and double-sided crack cantilever beams [ 46 ].…”
Section: Introductionmentioning
confidence: 99%
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“…These dynamic responses contain information regarding the locations and sizes of the crack(s). Many researchers have focused on the vibration characteristics of cracked beams [ 1 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. Ostachowicz and Krawczuk (1991) modelled the crack as a torsional spring model and calculated the natural frequencies of single-sided and double-sided crack cantilever beams [ 46 ].…”
Section: Introductionmentioning
confidence: 99%
“…However, the torsional spring model can only represent the shallow cracks. Moreover, certain researchers investigated the relationship between the natural frequency and crack propagation [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 19 , 25 , 26 , 34 , 44 ]. Mode shapes were applied to estimate the location and size of damage [ 18 , 22 , 33 , 43 ].…”
Section: Introductionmentioning
confidence: 99%
“…The mathematical relationship between the damage dimensions and the frequency drop is proposed in [9]. Because the damage has a low influence on the frequency changes, in order to observe the occurrence of damage as soon as possible [10], accurate frequency estimation is requested. The simplest way to achieve this target is using an interpolation method based on two spectral lines [11][12][13] or three spectral lines [14][15][16], but the results have been proved to be unsatisfactory for detecting damage in the early stage [17].…”
Section: Introductionmentioning
confidence: 99%
“…If more vibration modes are involved, the comparison is made by using dissimilarity estimators that perform a bin-by-bin evaluation [10][11][12]. It is possible to separate the problem of finding the crack location and severity by applying two consecutive normalizations [13]. Initially, the location is determined involving the Damage Location Coefficients (DLC).…”
Section: Introductionmentioning
confidence: 99%