A Crack Identification Method For Beam Type Structures Subject To Moving Vehicle Using Particle Swarm Optimization
In this work a crack identification method for beam type structures under moving vehicle is proposed. The basic of the method is to formulate damage detection as an inverse problem, and solve for damage locations and extents. To this end, an objective function is defined based on the difference of damaged beam dynamic response and the response calculated by the mathematical model of the beam. The optimization problem is solved through a popular evolutionary algorithm, i.e. the particle swarm optimization (PSO) with constriction factor, to obtain crack locations and depths. From the numerical simulations it was observed that cracks with depth ratio of 0.1 can be identified with reasonable error by the present method in spite of noise interference and distortive effect of road surface roughness.
Key Words: Cracked beam, damage detection, particle swarm optimization, moving vehicle
Frýba, L., ‘Vibration of Solids and Structures Under Moving Loads’, Telford, London, (1999).
Mahmoud, M.A., "Effect of cracks on the dynamic response of a simple beam subject to a moving load", Mechanical Engineers, 215: 207- 215, (2001). the Institution of
Bilello, C. and Bergman, L.A., "Vibration of damaged beam under a moving mass: theory and experimental validation", Journal of Sound and Vibration, 274: 567-582, (2004).
Law, S.S. and Zhu, X.Q., "Dynamic behaviour of damaged concrete bridge structures under moving vehicular loads", Engineering Structures, 26: 1279-1293, (2004).
Ariaei, A., Ziaei-Rad, S., and Ghayour, M., "Vibration analysis of beams with open and breathing cracks subjected to moving masses", Journal of Sound and Vibration, 326: 709-724, (2009).
Zhu, X.Q., Law, S.S., "Wavelet-based crack identification of bridge beam from operational deflection time history", International Journal of Solids and Structures, 43: 2299-2317, (2006).
Hester, D., Gonzalez, A., "A wavelet-based damage detection algorithm based on bridge acceleration response to a vehicle", Mechanical Systems doi:10.1016/j.ymssp.2011.06.007. Processing, (2011),
Nguyen, K.V., Tran, H.T., "Multi-cracks detection of a beam-like structure based on the on-vehicle vibration signal and wavelet analysis", Journal of Sound and Vibration, 329: 4455-4465, (2010).
Khorram, A., Bakhtiari-Nejad, F., and Rezaeian, M., "Comparison studies between two wavelet based crack detection methods of a beam subjected to a moving load", International Journal of Engineering Science, 51: 204-215, (2012).
Gökdağ, H., "Wavelet-based damage detection method for a beam-type structure carrying moving mass", Structural Engineering and Mechanics, 38(1): 81-97, (2011).
Buezas, F.S., Rosales, M.B., Filipich, C.P., "Damage detection with genetic algorithms taking into account a crack contact model" Engineering Fracture Mechanics, 78(4): 695-712, (2011).
Begambre, O., and Laier, J.E., "A hybrid particle