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http://dx.doi.org/10.12989/sem.2007.25.6.691

A robust identification of single crack location and size only based on pulsations of the cracked system  

Sinou, Jean-Jacques (Laboratoire de Tribologie et Dynamique des Systemes)
Publication Information
Structural Engineering and Mechanics / v.25, no.6, 2007 , pp. 691-716 More about this Journal
Abstract
The purpose of the present work is to establish a method for predicting the location and depth of a crack in a circular cross section beam by only considering the frequencies of the cracked beam. An accurate knowledge of the material properties is not required. The crack location and size is identified by finding the point of intersection of pulsation ratio contour lines of lower vertical and horizontal modes. This process is presented and numerically validated in the case of a simply supported beam with various crack locations and sizes. If the beam has structural symmetry, the identification of crack location is performed by adding an off-center placed mass to the simply supported beam. In order to avoid worse diagnostic, it was demonstrated that a robust identification of crack size and location is possible if two tests are undertaken by adding the mass at the left and then right end of the simply supported beam. Finally, the pulsation ratio contour lines method is generalized in order to be extended to the case of rectangular cross section beams or more complex structures.
Keywords
vibration; crack; identification;
Citations & Related Records

Times Cited By Web Of Science : 5  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
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1 Mayes, I.W. and Davies, W,G,R. (1984b), 'Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor', Transactions the ASME J Vib., Acoustics, Stress, and Reliability Design, 106, 139-145   DOI   ScienceOn
2 Sinou, I.-I. and Lees, A.W. (2005), 'Influence of cracks in rotating shafts', J. Sound Vib., 285(4-5),1015-1037   DOI   ScienceOn
3 Khiem, N. and Lien, T. (2004), 'Multi-crack detection for beam bythe natural frequencies', J. Sound Vib., 273, 175-184   DOI   ScienceOn
4 Cerri, M.N. and Vestroni, F. (2000), 'Detection of damage in beams subjected to diffused cracking', J. Sound Vib., 234(2), 259-276   DOI   ScienceOn
5 Narkis, Y. (1994), 'Identification of crack location in vibrating simply supported beams', J. Sound Vib., 172(4), 549-558   DOI   ScienceOn
6 Dilena, M. and Morassi, A. (2004), 'The use of antiresonances for crack detection in beams', J. Sound Vib., 276, 195-214   DOI   ScienceOn
7 Dilena, M. and Morassi, A (2002), 'Identification of crack location in vibrating beams from changes in node positions', J. Sound Vib., 255(5), 915-930   DOI   ScienceOn
8 Dimarogonas, A. (1996), 'Vibration of cracked structures: A state of the art review', Appl. Mech. Rev., 55, 831-857
9 Gladwell, G. and Morassi, A .(1999), 'Estimating damage in a rod from changes in node positions', Inverse Problems Eng., 7, 215-233   DOI   ScienceOn
10 Adams, R., Cawley, P., Pye, C. and Stone, B. (1978), 'A vibration technique for non-destructively assessing the integrity of structures', J. Mech. Eng. Sci., 20, 93-100   DOI
11 Li, B., Chen, X., Ma, J. and He, Z. (2005), 'Detection of crack location and size in structures using wavelet finite element methods', J. Sound Vib., 285,767-782   DOI   ScienceOn
12 Liang, R., Choy, F. and Hu, J. (1991), 'Detection of cracks in beam structures using measurements of natural frequencies', .J Franklin Ins., 328(4), 505-518   DOI   ScienceOn
13 Liang, R., Hu, J. and Choy, F. (1992), 'Theoretical study of crack-induced eigenfrequency changes on beam structures', Am. Soc. Civil Eng., J. Eng. Mech., 118(2),384-396   DOI
14 Mayes, l.W and Davies, W.G.R. (1976), 'The vibrational behaviour of a rotating shaft system containing a transverse crack', IMechE Conf. on Vibrations in Rotating Machinery, Cambridge, United Kingdom, 1, 53-64
15 Mayes, I.W. and Davies, W,G,R. (1984b), 'Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor', Transactions the ASME J Vib., Acoustics, Stress, and Reliability Design, 106, 139-145   DOI   ScienceOn
16 Morassi, A. (2001), 'Identification of a crack on a rod based on changes in a pair of natural frequencies', J. Sound Vib., 242(4), 577-596
17 Nahvi, H. and Jabbari, M. (2005), 'Crack detection in beams using experimental modal data and finite element model',Int. J. Mech. Sci., 47,1477-1497   DOI   ScienceOn
18 Hadjileontiadis, L., Doukab, E. and Trochidisc, A. (2005), 'Fractal dimension analysis for crack identification in beam structures', Mech. Syst. Signal Proc., 19, 659-674   DOI   ScienceOn
19 Kim, J.-T. and Stubbs, N. (2003), 'Crack detection in beam-type structures using frequency data', J. Sound Vib., 259(1), 145-160   DOI   ScienceOn
20 Hearn, G. and Testa, R. (1991), 'Modal analysis for damage detection in structures', J. Struct. Eng., ASCE, 117, 3042-3063   DOI
21 Lalanne, M. and Ferraris, G. (1990), Rotordynamics-Prediction in Engineering. John Wiley and Sons
22 Lees, A.W. and Friswell, M.I. (2001), 'The vibration signature of chordal cracks in asymmetric rotors', Proc. of 19th Int. Modal Analysis Conf., 1, 1-6
23 Lele, S. and Maiti, S. (2002), 'Modeling of transverse vibration of short beams for crack detection and measurement of crack extension', J. Sound Vib., 257(3), 559-583   DOI   ScienceOn
24 Nelson, H. and Nataraj, C. (1986), 'The dynamics of a rotor system with a cracked shaft', J. Vib., Acoustics, Stress Reliability Design, 108, 189-196   DOI   ScienceOn
25 Owolabi, G, Swamidas, A. and Seshadri, R. (2003), 'Crack detection in beams using changes in frequencies and amplitudes of frequency response functions', J. Sound Vib., 265,1-22   DOI   ScienceOn
26 Swamidas, A., Yang, X. and Seshadri, R. (2004), 'Identification of cracking in beam structures using Timoshenko and Euler formulations', J. Eng. Mech., 130(11), 1297-1308   DOI   ScienceOn
27 Wauer, I. (1990), 'Dynamics of cracked rotors: Literature survey', Appl. Mech. Rev., 43, 13-17   DOI
28 Davies, W.G.R. and Mayes, I.W (1984a), 'The vibrational behaviour of a multi-shaft, multi-bearing system in the presence of a propagating transverse crack', Transactions the ASME J. Vib., Acoustics, Stress, Reliability Design, 106, 146-153   DOI   ScienceOn