Abstract
By applying the sinusoidal wave mode to simulate the rugged surface of bridge deck, accounting for vehicle-bridge interaction and using Euler-Bernoulli beam theory, a coupling vibration model of vehicle-bridge system was developed. The model was solved by mode analyzing method and Runge-Kutta method, and the dynamic response and the resonance curve of the bridge were obtained. It is found that there are two resonance regions, one represents the main resonance while the other the minor resonance, in the resonance curve. The influence due to the rugged surface, the vibration mode of bridge, and the interaction between vehicle and bridge on vibration of the system were discussed. Numerical results show that the influence due to these parameters is so significant that the effect of roughness of the bridge deck and the mode shape of the bridge can’t be ignored and the vehicle velocity should be kept away from the critical speed of the vehicle.
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References
Zibdeh H S. Stochastic vibration of an elastic beam due to random moving loads and deterministic axial forces[J].Engineering Structures, 1995,17(7):530–535.
Zibdeh H S, Rechwitz R. Moving loads on beams with general boundary conditions[J].Journal of Sound and Vibration, 1996,195(1):85–102.
Wang R T. Vibration of multi-span Timoshenko beams to a moving force[J].Journal of Sound and Vibration, 1998,207(5):731–742.
Foda M A, Abduljabbar Z. A dynamic green function formulation for the response of a beam structure to a moving mass[J].Journal of Sound and Vibration, 1998,210(3):295–306.
Xu X, Xu W, Genin J. A nonliner moving mass problem[J].Journal of Sound and Vibration, 1997,204(3):495–504.
Michaltsos G, Sophianopoulos D, Kounadis A N. The effect of moving mass and other parameters on the dynamics response of simply supported beam[J].Journal of Sound and Vibration, 1996,191 (3):357–362.
Cai Y, Chen S S, Rote D M,et al. Vehicle/guideway interaction for high speed vehicles on a flexible guideway[J].Journal of Sound and Vibration, 1994,175(5):625–646.
Green M F, Cebon D. Dynamic response of highway bridges to heavy vehicle loads: theory and experimental validation[J].Journal of Sound and Vibration, 1994,170(12):51–78.
Lee H P. Dynamic response of beam with a moving mass[J].Journal of Sound and Vibration, 1996,191(2):289–294.
Tan G H, Brameld G H, Thambiratnam D P. Development of an analytical model for treating bridge-vehicle interaction[J].Engineering Structures, 199820(1/2):250–260.
Kawatani M, Kim C W. Computer simulation for dynamic wheel loads of heavy vehicles[J].Structural Engineering and Mechanics, 2001,12(4):409–428.
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Contributed by Huang Xiao-qing
Foundation item: the National Science Foundation of Guangdong Province, China (011602)
Biography: Chen Yan (1963-), Lecturer, Doctor
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Yan, C., Xiao-qing, H. & You-fa, M. Coupling vibration of vehicle-bridge system. Appl Math Mech 25, 390–395 (2004). https://doi.org/10.1007/BF02437522
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DOI: https://doi.org/10.1007/BF02437522