Identification of Crack in Beam Using Hilbert – Huang Transform

Mangesh Dilip Ratolikar^1, and M Chandra Sekhar Reddy¹

¹Department of Mechanical Engineering, College of Engineering, Osmania University, Hyderabad, India

Cite this paper:
Mangesh Dilip Ratolikar and M Chandra Sekhar Reddy. Identification of Crack in Beam Using Hilbert – Huang Transform. Journal of Mechanical Design and Vibration. 2014; 2(4):87-93. doi: 10.12691/jmdv-2-4-3

Abstract

In this paper, investigations on vibrations of cracked beam structures and methodology for crack identification have been addressed. Here, the crack is modelled as transverse crack and it is considered as a small element and is later assembled with the other discretized elements using FEM techniques. Using this model, vibration analysis of simply supported, fixed-fixed, free-free and cantilever solid rectangular beams, with crack is carried out. The fundamental vibration modes of damaged beam are analyzed using Hilbert-Huang transform (HHT). The location of crack is determined by the sudden changes in the spatial variation of the transformed response. The results in both the simulation mode as well as experimental mode show that, HHT is an effective tool for the crack detection. The proposed technique is validated both analytically and experimentally thus the results shown have a good agreement with the established model.

Keywords:
crack detection beam FEM Hilbert-Huang transform (HHT) structural health monitoring (SHM)

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References:

[1]	M. Bezhad, A. Ghadami, A. Maghsoodi, J. M. Hale, Vibration based algorithm for crack detection in a cantilever beam containing two different types of crack, Journal of Sound and Vibration 332 (2013) 6312-6320.
[2]	X. B. Lu, J. K. Liu, Z. R. Lu, A two-step approach for crack detection in beam, Journal of Sound and Vibration 332 (2013) 282-293.
[3]	A. P. Adewuyi, Z. Wu, N. H. M. K. Serker, Assessment of vibration based damage identification method using displacement and distributed strain measurement, Structural Health Monitoring (2009) 443-461.
[4]	P. F. Rizo, 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.
[5]	M. Cao, L. Ye, L. Zhou, Z. Su, R. Bai, Sensitivity of fundamental mode shape and static deflection for damage identification in cantilever beams, Mechanical Systems and Signal Processing, 25 (2011) 630-643.
[6]	D. Guo, Z.K. Peng, Vibration analysis of a cracked rotor using Hilbert-Huang transform, Mechanical Systems and Signal Processing, 21 (2007) 3030-3041.
[7]	T. R. Babu, S. Srikanth, A. S. Sekhar, Hilbert-Huang transformation for detection of crack in a transient rotor, Mechanical Systems and Signal Processing, 22 (2008) 905-914.
[8]	B. Li, C. L. Zhang, Hilbert-Huang transformation and its application to crack identification for start-up rotor, Advances in Vibration Engineering 12(5) (2013) 459-473.
[9]	N. E. Huang, S. S. P. Shen, Hilbert-Huang transform and its applications, World Scientific Publishing Co Pct. Ltd (2005).
[10]	W. Weaver. Jr., J. M. Gere., Matrix analysis of framed structures, Van Nostrand Reinhold, New York.
[11]	C. W. de Silva, Vibration fundamentals and practice, CRC Press (2000).
[12]	M. Feldman, Hilbert transform application in mechanical vibration, John Wiley & Sons, Ltd (2011).
[13]	Z. M. Hussain, A. Z. Sadik, P. O’Shea, Digital signal processing: an introduction with MATLAB and applications, Springer (2011).
[14]	M. R. Hatch, Vibration simulation using MATLAB and ANSYS, Chapman & Hall/CRC (2001).
[15]	S. S. Law, Z. R. Lu, Crack identification in beam from dynamic responses, Journal of Sound and Vibration 275 (2005) 967-987.
[16]	Z. K. Peng, Z. Q. Lang, S. A. Billings, Crack detection using nonlinear output frequency response functions, Journal of Sound and Vibration 301 (2007) 777-788.
[17]	S. D. Panteliou, T. G. Chondros, V. C. Argyrakis, Damping factor as an indicator of crack severity, Journal of Sound and Vibration 241(2) (2001) 235-245.
[18]	A. Messina, E. J. Williams, T. Contursi, Structural damage detection by a sensitivity and statistical-based method, Journal of Sound and Vibration 216(5) (1998) 791-808.