Advanced SearchSearch Tips
Vibration behaviors of a damaged bridge under moving vehicular loads
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Vibration behaviors of a damaged bridge under moving vehicular loads
Yin, Xinfeng; Liu, Yang; Kong, Bo;
A large number of bridges were built several decades ago, and most of which have gradually suffered serious deteriorations or damage due to the increasing traffic loads, environmental effects, and inadequate maintenance. However, very few studies were conducted to investigate the vibration behaviors of a damaged bridge under moving vehicles. In this paper, the vibration behaviors of such vehicle-bridge system are investigated in details, in which the effects of the concrete cracks and bridge surface roughness are particularly considered. Specifically, two vehicle models are introduced, i.e., a simplified four degree-of-freedoms (DOFs) vehicle model and a more complex seven DOFs vehicle model, respectively. The bridges are modeled in two types, including a single-span uniform beam and a full scale reinforced concrete high-pier bridge, respectively. The crack zone in the reinforced concrete bridge is considered by a damage function. The bridge and vehicle coupled equations are established by combining the equations of motion of both the bridge and vehicles using the displacement relationship and interaction force relationship at the contact points between the tires and bridge. The numerical simulations and verifications show that the proposed modeling method can rationally simulate the vibration behaviors of the damaged bridge under moving vehicles; the effect of cracks on the impact factors is very small and can be neglected for the bridge with none roughness, however, the effect of cracks on the impact factors is very significant and cannot be neglected for the bridge with roughness.
bridges;simulation;dynamic analysis;cracks;surface roughness;
 Cited by
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. crossref(new window)

American Association of State Highway and Transportation Officials (AASHTO) (2004), LRFD bridge design specifications, Washington DC.

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, 709-724. crossref(new window)

Chen, S.R. and Cai, C.S. (2004), "Accident assessment of vehicles on long-span bridges in windy environments", J. Wind Eng. Ind. Aerodyn., 92, 991-1024. crossref(new window)

Chen, S.R. and Wu, J. (2010), "Dynamic performance simulation of long-span bridge under combined loads of stochastic traffic and wind", J. Bridge Eng., 15(3), 219-230. crossref(new window)

Cheng, S.M., Wu, X.J. and Wallace, W. (1999), "Vibrational response of a beam with a breathing crack", J. Sound Vib., 225(1), 201-208. crossref(new window)

Czaderski, C. and Motavalli, M. (2007), "40-Year-old full-scale concrete bridge girder strengthened with prestressed CFRP plates anchored using gradient method", Compos. Part B: Eng., 38, 878-886. crossref(new window)

Deng, L. and Cai, C.S. (2010a), "Development of dynamic impact factor for performance evaluation of existing multi-girder concrete bridges", Eng. Struct., 32(1), 21-31. crossref(new window)

Deng, L. and Cai, C.S. (2010b), "Identification of dynamic vehicular axle loads: Theory and simulations", J. Vib. Control, 16, 2167-2194. crossref(new window)

Deng, L. and Cai, C. S. (2011), "Identification of dynamic vehicular axle loads: demonstration by a field study", J. Vib. Control, 17,183-195. crossref(new window)

Dimarogonas, A.D. (1996), Vibration Engineering, St. Paul, Minnesota: West Publishers.

Dugush, Y.A. and Eisenberger, M. (2002), "Vibrations of non-uniform continuous beams under moving loads", J. Sound Vib., 254(5), 911-926. crossref(new window)

Fryba, L. (1974), "Response of a beam to a rolling mass in the presence of adhesion", Acta Technica CSAV, 19(6), 673-687.

Green, M.F. and Cebon, D. (1997), "Dynamic interaction between heavy vehicles and highway bridges", Comput. Struct., 62(2), 253-264. crossref(new window)

Wang, T.L., Huang, D.Z. and Shahawy, M. (1992), "Dynamic response of multi-girder bridges", J. Struct. Eng., 118(8), 2222-2238. crossref(new window)

Khoa, V.N. (2013), "Comparisons studies of open and breathing crack detections of a beam-like bridge subjected to a moving vehicle", Eng. Struct.. 51, 306-314. crossref(new window)

Law, S.S. and Zhu, X.Q. (2004), "Dynamic behavior of damaged concrete bridge structures under moving vehicular loads", Eng. Struct., 261, 279-293.

Law, S.S. and Zhu, X.Q. (2005), "Bridge dynamic responses due to road surface roughness and deceleration of vehicle", J. Sound Vib., 282(3-5), 805-830. crossref(new window)

Lee, H.P. and Ng, T.Y. (1994), "Dynamic response of a cracked beam subject to a moving load", Acta Mechanica, 106, 221-230. crossref(new window)

Li, Q.S. (2002), "Free vibration analysis of non-uniform beam with an arbitrary number of cracks and concentrated masses", J. Sound Vib., 252(3), 509-525. crossref(new window)

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. crossref(new window)

Neild, S.A., Williams, M.S. and McFadden, P.D. (2002), "Non-linear behavior of reinforced concrete beams under low amplitude cyclic and vibration loads", Eng. Struct., 24, 707-718. crossref(new window)

Neild, S.A., Williams, M.S. and McFadden, P.D. (2003), "Nonlinear vibration characteristics of damaged concrete beams", J. Struct. Eng., ASCE, 129(2), 260-268. crossref(new window)

Nguyen, K.V. and Tran, H.T. (2010), "A multi-cracks detection technique of a beam-like structure based on the on-vehicle vibration measurement and wavelet analysis", J Sound Vib., 329(21), 4455-4465. crossref(new window)

Rizzo, P. and Scalea, F.L. (2006), "Feature extraction for defect detection in strands by guided ultrasonic waves", Struct. Health Monit., 5(3), 297-308. crossref(new window)

Shifrin, E.I. and Ruotolo, R. (1999), "Natural frequencies of a beam with an arbitrary number of cracks", J. Sound Vib., 222, 409-423. crossref(new window)

Yang, Y.B., Yau, J.D. and Wu, Y.S. (2004), Vehicle-bridge interaction dynamics with applications to high speed railways, World Scientific, Singapore.

Yin, X.F., Fang, Z., Cai, C.S. and Deng, L. (2010), "Non-stationary random vibration of bridges under vehicles with variable speed", Eng. Struct., 32(8), 2166-2174. crossref(new window)

Yin, X.F., Fang, Z. and Cai, C.S. (2011), "Lateral vibration of high-pier bridges under moving vehicular loads", J. Bridge Eng., 16(3), 400-412. crossref(new window)

Zhang, W. and Cai, C.S. (2012), "Fatigue reliability assessment for existing bridges considering vehicle speed and road surface conditions", J. Bridge Eng., 17(3), 443-453. crossref(new window)