Methods of Interpreting the Results of Vibration Measurements to Locate Damages in Beams

Abstract:

This paper deals with methods of interpreting the results of vibration measurement to identify structural changes in beam-like structures. We briefly presented an own developed damage assess method, that consider a large number of frequencies for the weak-axis banding vibration modes; it allows first a precise localization and afterwards evaluation of the damages. For the first step, recognition of the damage position, we introduce an algorithm implemented in C++ with the interface done using EXCEL features, indicating by one number the damage probable position, based on the Minkowski metrics. To avoid uncertainties, a graphic representation of all results is also presented. The method is tested for values determined by calculus for a randomly selected location, with and without measurement results debased by noise, proving its reliability.

• Periodical: Applied Mechanics and Materials (Volume 430)
• Pages: 84-89
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.430.84
• Online since: September 2013
• Authors: Petru Florin Minda, Zeno Iosif Praisach, Andrea Amalia Minda, Gilbert Rainer Gillich
• Keywords: Damage, Fracture Mechanics, Natural Frequency, Severity Assessment, Vibration

References

[1] S.W. Doebling, C.R. Farrar, M.B. Prime, A summary review of vibration-based damage identification methods, Shock and Vibration Digest, 30(2), 1998, 91-105.

DOI: 10.1177/058310249803000201

[2] G.R. Gillich, E.D. Birdeanu, N. Gillich, D. Amariei, V. Iancu, C.S. Jurcau, Detection of damages in simple elements, Annals of DAAAM for 2009 & Proceedings of the 20th International DAAAM Symposium,  Book Series: Annals of DAAAM and Proceedings 20 (2009).

[3] X.Q. Zhu, S.S. Law, M. Jayawardhan, Experimental study on Statistical Damage Detection of RC Structures based on Wavelet Packet Analysis, Journal of Physics: Conference Series 305 (2011) Paper: 012107.

DOI: 10.1088/1742-6596/305/1/012107

[4] J.H. Chou, J. Ghaboussi, Genetic algorithm in structural damage detection, Computers & Structures, 79(14) (2001) 1335–1353.

DOI: 10.1016/s0045-7949(01)00027-x

[5] A. Cheung, C. Cabrera, P. Sarabandi, K.K. Nair, A. Kiremidjian, H. Wenzel, The application of statistical pattern recognition methods for damage detection to field data, Smart Mater. Struct. 17 (2008) 065023.

DOI: 10.1088/0964-1726/17/6/065023

[6] S.M. Pourhoseini Nejad, Gh.R. Ghodrati Amiri, A. Asadi, E. Afsharid, Z. Tabrizian, Damage detection of skeletal structures using particle swarm optimizer with passive congregation (PSOPC) algorithm via incomplete modal data. Comp. Meth. Civil Eng., 3(1) (2012).

[7] J. -J. Sinou, A Review of Damage Detection and Health Monitoring of Mechanical Systems from Changes in the Measurement of Linear and Non-linear Vibrations, in: Robert C. Sapri (Ed. ), Mechanical Vibrations: Measurement, Effects and Control, (2009).

[8] C.R. Farrar, D.A. Jauregui, Comparative Study of Damage Identification Algorithms Applied to a Bridge: I Experiment, Smart Materials and Structures, 7 (1998) 704–719.

DOI: 10.1088/0964-1726/7/5/013

[9] P.K. Jena, D.N. Thatoi, J. Nanda, D.R.K. Parhi, Effect of damage parameters on vibration signatures of a cantilever beam, Procedia Engineering 38 ( 2012 ) 3318 – 3330.

DOI: 10.1016/j.proeng.2012.06.384

[10] C.G. Koh, M.J. Perry, Structural Identification and Damage Detection using Genetic Algorithms, Structures and Infrastructures Book Series, Vol. 6, CRC Press, (2009).

DOI: 10.1201/b10800

[11] 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

[12] 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.

[14] D. Onchis-Moaca, G.R. Gillich, R. Frunza, Gradually improving the readability of the time-frequency spectra for natural frequency identification in cantilever beams, 2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)  Book Series: European Signal Proceedings Conference   (2012).

[15] Y. Rubner, C. Tomasi, L. J. Guibas, The Earth Mover's Distance as a Metric for Image Retrieval, International Journal of Computer Vision 40(2), (2000) 99–121.

[16] P. Bratu, Vibratiile sistemelor elastice, Editura Tehnica, Bucuresti, (2000).