Evaluation of Crack Depth in Beams for Known Damage Location Based on Vibration Modes Analysis

Abstract:

The paper presents a method to assess the crack depth in beams for which the damage location is known. Previous researches lead us to a method to identify damage locations in beams, based on a relation providing frequency changes in respect to damage location and depth. Separating the two variables it is possible to find first the damage location, and afterwards to derive the term controlling the severity. Comparing it with values indicating the frequency shift in respect to damage depth, the severity can be assessed. The paper presents a relation reflecting this dependency for any cross-section type, involving the static deflection for the healthy and damaged beam alone; it has a general character, being not influenced by the cross-section shape.

• Periodical: Applied Mechanics and Materials (Volume 430)
• Pages: 90-94
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.430.90
• Online since: September 2013
• Authors: Zeno Iosif Praisach, Gilbert Rainer Gillich, Carla Protocsil, Florian Muntean
• Keywords: Damage, Fracture Mechanics, Natural Frequency, Severity Assessment, Vibration

References

[1] P. Cawley, R.D. Adams, Location of defects in structures from measurements of natural frequencies, Journal of strain analysis, 14(2) (1979) 49-57.

DOI: 10.1243/03093247v142049

[2] L. Kannappan, S. Krishnakumar, Frequency measurement based damage detection methods applied to different cracks configuration, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 23-26 April 2007, Honolulu Hawaii, 1-12.

DOI: 10.2514/6.2007-2058

[3] P. F. Rizos, N. Aspragathos, A. D. Dimarogonas, Identification of crack location and magnitude in a cantilever beam from the vibration modes, Journal of Sound and Vibration, 138(3) (1990) 381-388.

DOI: 10.1016/0022-460x(90)90593-o

[4] R.Y. Liang, J. Hu, F.K. Choy, Detection of cracks in beam structures using measurements of natural frequencies, Journal of Franklin Institute, 328(4) (1991) 505.

DOI: 10.1016/0016-0032(91)90023-v

[5] W.M. Ostachowicz, M. Krawczuk, Analysis of the effect of cracks on the natural frequencies of a cantilever beam, Journal of Sound and Vibration, 150(2) (1991) 191-201.

DOI: 10.1016/0022-460x(91)90615-q

[6] M. Ashfari, D.J. Inman, Continuous crack modeling in piezoelectrically driven vibrations of an Euler-Bernoulli beam, Journal of Vibration and Control, 19(3) (2012) 341-355.

DOI: 10.1177/1077546312437803

[7] N. Khiem, T. Lien, A simplified method for natural frequency analysis of a multiple cracked beam, Journal of Sound and Vibration, 245(4) (2001) 737-751.

DOI: 10.1006/jsvi.2001.3585

[8] J. Fernandez-Saez, C. Navarro, Fundamental frequency of cracked beams in bending vibrations: an analytical approach, Journal of Sound and Vibration, 256(1) (2002) 17-31.

DOI: 10.1006/jsvi.2001.4197

[9] Q. Li, Vibratory characteristics of Timoshenko beams with arbitrary number of cracks, Journal of Engineering Mechanics, 129(11) (2003) 1355-1359.

DOI: 10.1061/(asce)0733-9399(2003)129:11(1355)

[10] K. Aydin, Vibratory characteristics of Euler-Bernoulli beams with an arbitrary number of cracks subjected to axial load, Journal of Vibration and Control, 14(4) (2008) 485.

DOI: 10.1177/1077546307080028

[11] G.R. Gillich, Z.I. Praisach, Damage patterns based method to locate discontinuities in beams, Conference on Health Monitoring of Structural and Biological Systems, San Diego, CA, March 11-14, 2013, Article Number: 8695-1100.

DOI: 10.1117/12.2009122

[12] G.R. Gillich, Z.I. Praisach, D.M. Onchis, About the effectiveness of damage detection methods based on vibration measurements, 3rd WSEAS International Conference on Engineering Mechanics, Structures, Engineering Geology/International Conference on Geography and Geology Corfu Island, Greece, Jul 22-24, 2010, 204-209.

[13] G.R. Gillich, Z.I. Praisach, Robust method to identify damages in beams based on frequency shift analysis, Conference on Health Monitoring of Structural and Biological Systems, San Diego, CA, March 12-15, 2012, Article Number: 83481D.

DOI: 10.1117/12.915158

[14] G.R. Gillich, Z.I. Praisach, I. Negru, Damages influence on dynamic behavior of composite structures reinforced with continuous fibers, Materiale Plastice, 49(3) (2012) 186-191.

[15] G.R. Gillich, Z.I. Praisach, D.E. Birdeanu, Considerations on natural frequency changes in damaged cantilever beams using FEM, 3rd WSEAS International Conference on Engineering Mechanics, Structures, Engineering Geology/International Conference on Geography and Geology, Corfu Island, Greece, Jul 22-24, 2010, 214-219.

[16] C. Bilello, Theoretical and experimental Investigation of Damaged Beams under Moving System, Ph.D. Thesis, Universita degli Studi di Palermo, Italy, (2001).

[17] T.J. Chondros, D.A. Dimarogonas, J. Yao, A continuous cracked beam vibration theory, Journal of Sound and Vibration, 215(1) (1998) 17-34.

DOI: 10.1006/jsvi.1998.1640

[18] P. Bratu, O. Vasile, Modal Analysis of the Viaducts Supported on the Elastomeric Insulators within the Bechtel Constructive Solution for the Transilvania Highway, Romanian Journal of Acoustics and Vibration, 9(2) 2012 77-82.