Summary
Early detection of structural damage is an important goal of any structural health monitoring system. Among numerous data analysis techniques, those which are used for online damage detection have received considerable attention recently, although the problem of online detection in continuous structures, for example beams, is quite challenging. In this paper, it is shown how the type, the size and the location of breathing cracks are identified online with the use of the records which are gathered from a continuous beam. For determining the existence of a breathing crack in a beam, its vibrating behavior is simulated. The algorithm of the least square estimation with the use of adaptive tracking is employed for identification purposes. This algorithm is capable of detecting the abrupt changes in problem parameters and traces its variations. With the use of reducing domain algorithm, this identification method shows better results and can detect the breathing crack in beams more efficiently. Finally, it is shown that with the use of sufficient mode shapes the method is capable of identifying the breathing crack in beams and frames. The efficiency of the proposed algorithm is shown through some case studies.
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References
J. W. Lin R. Betti A. W. Smyth R. W. Longman (2001) ArticleTitleOnline identification of nonlinear hysteretic structural systems using a variable trace approach Earthquake Engng. Struct. Dyn. 30 1279–1303 Occurrence Handle10.1002/eqe.63
A. W. Smyth S. F. Masri A. G. Chassiakos T. K. Caughey (1999) ArticleTitleOnline parametric identification of MDOF nonlinear hysteretic systems ASCE J. Engng. Mech. 125 133–142 Occurrence Handle10.1061/(ASCE)0733-9399(1999)125:2(133)
J. N. Yang S. Lin (2004) ArticleTitleOnline identification of nonlinear hysteretic structures using an adaptive tracking technique Int. J. Nonlinear Mech. 39 1481–1491 Occurrence Handle10.1016/j.ijnonlinmec.2004.02.010 Occurrence Handle05138546
M. Shinozuka C. Yun H. Imai (1982) ArticleTitleIdentification of linear structural dynamic systems ASCE J. Engng. Mech. 108 1371–1390
M. Shinozuka R. Ghanem (1995) ArticleTitleStructural system identification. II: Experimental verification ASCE J. Engng. Mech. 121 265–273 Occurrence Handle10.1061/(ASCE)0733-9399(1995)121:2(265)
M. Hoshiya E. Saito (1984) ArticleTitleStructural identification by extended Kalman filter ASCE J. Engng. Mech. 110 1757–1771 Occurrence Handle10.1061/(ASCE)0733-9399(1984)110:12(1757)
T. Sato K. Qi (1998) ArticleTitleAdaptive H∞ filter: its application to structural identification ASCE J. Engng. Mech. 124 1233–1240 Occurrence Handle10.1061/(ASCE)0733-9399(1998)124:11(1233)
Yoshida, I.: Damage detection using Monte Carlo filter based on non-Gaussian noise. Proceedings on Structural Safety and Reliability, ICOSSA 2001. Lisse: Swets & Zeitinger 2002.
M. Krawczuk W. Ostachowicz (1996) ArticleTitleDamage indicators for diagnostic of fatigue cracks in structures by vibration measurements – a survey J. Theo. Appl. Mech. 34 307–326
M. H. H. Shen Y. C. Chu (1992) ArticleTitleVibrations of beams with a fatigue crack Comput. Struct. 45 79–93 Occurrence Handle10.1016/0045-7949(92)90347-3
M. H. H. Shen Y. C. Chu (1992) ArticleTitleAnalysis of forced bilinear oscillators and the application to cracked beam dynamics Am. Inst. Aeronaut. Astronaut. J. 30 2512–2519 Occurrence Handle0761.73061
O. N. L. Abraham J. A. Brandon (1995) ArticleTitleThe modeling of the opening and closure of a crack J. Vibr. Acoust. 117 370–377
A. Ibrahim F. Ismail H. K. Martin (1990) ArticleTitleIdentification of fatigue cracks from vibrating testing J. Sound Vibr. 140 305–317 Occurrence Handle10.1016/0022-460X(90)90530-D
W. M. Ostachowich M. Krawczuk (1991) ArticleTitleAnalysis of the effect of cracks on the natural frequencies of a cantilever beam J. Sound Vibr. 150 191–201 Occurrence Handle10.1016/0022-460X(91)90615-Q
P. G. Kirshmer (1994) ArticleTitleThe effect of discontinuities on the natural frequency of beams Proc. ASTM 44 897–904
H. J. Petroski (1981) ArticleTitleSimple static and dynamic models for the cracked elastic beam Int. J. Fract. 17 R71–R76 Occurrence Handle10.1007/BF00036201
A. Joshi B. S. Madhusudhan (1991) ArticleTitleA unified approach to free vibration of locally damaged beams having various homogeneous boundary conditions J. Sound Vibr. 147 475–488 Occurrence Handle10.1016/0022-460X(91)90495-6
M. H. H. Shen C. Pierre (1994) ArticleTitleFree vibrations of beams with a single-edge crack J. Sound. Vibr. 170 237–259 Occurrence Handle10.1006/jsvi.1994.1058 Occurrence Handle0925.73451
M. Chati R. Rand S. Mukherjee (1997) ArticleTitleModal analysis of a cracked beam J. Sound Vibr. 207 249–270 Occurrence Handle10.1006/jsvi.1997.1099
A. P. Bovsunovsky V. V. Matveev (2000) ArticleTitleAnalytical approach to the determination of dynamic characteristics of a beam with a closing crack J. Sound Vibr. 235 415–434 Occurrence Handle10.1006/jsvi.2000.2930
H. Tada P. Paris G. Irwin (1973) The stress analysis of crack handbook Del Research Corporation Hellertown, Pensilvania
G. C. Goodwin K. S. Sin (1984) Adaptive Filtering, Prediction and Control Prentice-Hall Englewood Cliffs Occurrence Handle0653.93001
Q. Xia M. Y. Rao X. Shen (1994) ArticleTitleAdaptive fading Kalman filter with an application Automatica 30 1333–1338 Occurrence Handle10.1016/0005-1098(94)90112-0 Occurrence Handle1288623
U. Lee J. Shin (2002) ArticleTitleA frequency response function-based structural damage identification method Comp. Struct. 80 117–132 Occurrence Handle10.1016/S0045-7949(01)00170-5
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Sholeh, K., Vafai, A. & Kaveh, A. Online detection of the breathing crack using an adaptive tracking technique. Acta Mechanica 188, 139–154 (2007). https://doi.org/10.1007/s00707-006-0383-y
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DOI: https://doi.org/10.1007/s00707-006-0383-y
Keywords
- Fatigue Crack
- Mode Shape
- Single Crack
- Adaptive Tracking
- Structural Health Monitoring System