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http://dx.doi.org/10.12989/imm.2012.5.3.169

Time-frequency analysis of a coupled bridge-vehicle system with breathing cracks  

Wang, W.J. (Department of Applied Mechanics, Sun Yat-sen University)
Lu, Z.R. (Department of Applied Mechanics, Sun Yat-sen University)
Liu, J.K. (Department of Applied Mechanics, Sun Yat-sen University)
Publication Information
Interaction and multiscale mechanics / v.5, no.3, 2012 , pp. 169-185 More about this Journal
Abstract
The concrete bridge is likely to produce fatigue cracks during long period of service due to the moving vehicular loads and the degeneration of materials. This paper deals with the time-frequency analysis of a coupled bridge-vehicle system. The bridge is modeled as an Euler beam with breathing cracks. The vehicle is represented by a two-axle vehicle model. The equation of motion of the coupled bridge-vehicle system is established using the finite element method, and the Newmark direct integration method is adopted to calculate the dynamic responses of the system. The effect of breathing cracks on the dynamic responses of the bridge is investigated. The time-frequency characteristics of the responses are analyzed using both the Hilbert-Huang transform and wavelet transform. The results of time-frequency analysis indicate that complicated non-linear and non-stationary features will appear due to the breathing effect of the cracks.
Keywords
bridge-vehicle system; dynamic response; time-frequency analysis; Hilbert-Huang transform; wavelet transform;
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1 Abdel Wahab, M.M., De Roeck, G. and Peeters, B. (1999), "Parameterization of damage in reinforced concrete structures using model updating", J. Sound Vib., 228(4), 717-730.   DOI   ScienceOn
2 An, N., Xia, H. and Zhan, J.W. (2010), "Identification of beam crack using the dynamic response of a moving spring-mass unit", Interact. Multiscale Mech., 3(4), 321-331.   DOI
3 Ariaei, A., Ziaei-Rad, S. and Ghayour, M. (2009), "Vibration analysis of beams with open and breathing cracks subjected to moving masses", J. Sound Vib., 326(3-5), 709-724.   DOI   ScienceOn
4 Aydin, K. (2008), "Vibratory characteristics of Euler-Bernoulli beams with an arbitrary number of cracks subjected to axial load", J. Vib. Control., 14(4), 485-510.   DOI   ScienceOn
5 Binici, B. (2005), "Vibration of beams with multiple open cracks subjected to axial force", J. Sound Vib., 287(1-2), 277-295.   DOI
6 Chakraborty, A. and Basu, B. (2008), "Nonstationary response analysis of long span bridges under spatially varying differential support motions using continuous wavelet transform", J. Eng. Mech.-ASCE, 134(2), 155-162.   DOI   ScienceOn
7 Chang, K.C., Wu, F.B. and Yang, Y.B. (2010), "Effect of road surface roughness on indirect approach for measuring bridge frequencies from a passing vehicle", Interact. Multiscale Mech., 3(4), 299-308.   DOI
8 Chen, W.H., Lu, Z.R., Lin, W., Chen, S.H., Ni, Y.Q., Xia, Y. and Liao, W.Y. (2011), "Theoretical and experimental modal analysis of the Guangzhou New TV Tower", Eng. Struct., 33(12), 3628-3646.   DOI   ScienceOn
9 Chondros, T.G., Dimarogonas, A.D. and Yao, J. (2001), "Vibration of a beam with a breathing crack", J. Sound Vib., 239(1), 57-67.   DOI   ScienceOn
10 Cojocaru, E.C. and Irschik, H. (2010), "Dynamic response of an elastic bridge loaded by a moving elastic beam with a finite length", Interact. Multiscale Mech., 3(4), 343-363.   DOI
11 Douka, E. and Hadjileontiadis, L.J. (2005), "Time-frequency analysis of the free vibration response of a beam with a breathing crack", NDT&E Int., 38(1), 3-10.   DOI   ScienceOn
12 Gurley, K. and Kareem, A. (1999), "Applications of wavelet transforms in earthquake, wind and ocean engineering", Eng. Struct., 21(2), 149-167.   DOI   ScienceOn
13 Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.C., Tung, C.C. and Liu, H.H. (1998), "The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis", Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 454, 903-995.   DOI   ScienceOn
14 Kim, H. and Melhem, H. (2003), "Fourier and wavelet analyses for fatigue assessment of concrete beams", Exp. Mech., 43(2), 131-140.   DOI   ScienceOn
15 Kou, J.W. and Dewolf, J.T. (1997), "Vibrational behavior of continuous span highway bridge-influencing variables", J. Struct. Eng.-ASCE, 123(3), 333-344.   DOI
16 Law, S.S. and Zhu, X.Q. (2004), "Dynamic behavior of damaged concrete bridge structures under moving vehicular loads", Eng. Struct., 26(9), 1279-1293.   DOI   ScienceOn
17 Law, S.S. and Zhu, X.Q. (2005), "Nonlinear characteristics of damaged concrete structures under vehicular load", J. Struct. Eng.-ASCE, 131(8), 1277-1285.   DOI   ScienceOn
18 Li, Q.S. and Wu, J.R. (2007), "Time-frequency analysis of typhoon effects on a 79-storey tall building", J. Wind Eng. Ind. Aerod., 95(12), 1648-1666.   DOI   ScienceOn
19 Li, X.Z. and Zhu, Y. (2010), "Stochastic space vibration analysis of a train-bridge coupling system", Interact. Multiscale Mech., 3(4), 333-342.   DOI
20 Lu, Z.R. and Law, S.S. (2009), "Dynamic condition assessment of a cracked beam with the composite element model", Mech. Syst. Signal Pr., 23(2), 415-431.   DOI   ScienceOn
21 Mahmoud, M.A. and Abou Zaid, M.A. (2002), "Dynamic response of a beam with a crack subject to a moving mass", J. Sound Vib., 256(4), 591-603.   DOI   ScienceOn
22 Mahmoud, M.A. (2001), "Stress intensity factors for single and double edge cracks in a simple beam subject to a moving load", Int. J. Fracture, 111(2), 151-161.   DOI   ScienceOn
23 Pan, T.C. and Li, J. (2002), "Dynamic vehicle element method for transient response of coupled vehicle-structure systems", J. Struct. Eng.-ASCE, 128(2), 214-223.   DOI   ScienceOn
24 Yang, W.X. (2008), "Interpretation of mechanical signals using an improved Hilbert-Huang transform", Mech. Syst. Signal Pr., 22(5), 1061-1071.   DOI   ScienceOn
25 Sun, L. and Luo, F. (2007), "Non-stationary dynamic pavement loads generated by vehicles traveling at varying speed", J. Transp. Eng., 133(4), 252-263.   DOI   ScienceOn
26 Wang, S.Q., Xia, H., Guo, W.W. and Zhang, N. (2010), "Nonlinear dynamic response analysis of a long-span suspension bridge under running train and turbulent wind", Interact. Multiscale Mech., 3(4), 309-320.   DOI
27 Yang, J.R., Li, J.Z. and Chen, Y.H. (2010), "Vibration analysis of CFST tied-arch bridge due to moving vehicles", Interact. Multiscale Mech., 3(4), 389-403.   DOI
28 Yang, Y.B. and Yau, J.D. (1997), "Vehicle-bridge interaction element for dynamic analysis", J. Struct. Eng.-ASCE, 123(11), 1512-1518.   DOI   ScienceOn
29 Yau, J.D. (2009), "Vehicle/bridge interactions of a rail suspension bridge considering support movements", Interact. Multiscale Mech., 2(3), 263-276.   DOI
30 Yener, M. and Chompooming, K. (1994), "Numerical method of lines for analysis of vehicle-bridge dynamic interaction", Comput. Struct., 53(3), 709-726.   DOI   ScienceOn
31 Zhang, R.R., King, R., Olson, L. and Xu, Y.L. (2005), "Dynamic response of the Trinity River Relief Bridge to controlled pile damage: modeling and experimental data analysis comparing Fourier and Hilbert-Huang techniques", J. Sound Vib., 285(4-5), 1049-1070.   DOI
32 Zhu, X.Q. and Law, S.S. (2007), "Nonlinear characteristics of damaged reinforced concrete beam from Hilbert- Huang Transform", J. Struct. Eng.-ASCE, 133(8), 1186-1191.   DOI   ScienceOn