Deflection analysis of long-span girder bridges under vehicle bridge interaction using cellular automaton based traffic microsimulation

Pan Zeng; Ronghui Wang; Zhuo Sun; Junyong Zhou

doi:10.3934/mbe.2019281

Mathematical Biosciences and Engineering, 2019, 16(5): 5652-5671. doi: 10.3934/mbe.2019281. Research article Special Issues

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Deflection analysis of long-span girder bridges under vehicle bridge interaction using cellular automaton based traffic microsimulation

Pan Zeng, Ronghui Wang, Zhuo Sun, Junyong Zhou

1 School of Civil Engineering & Transportation, South China University of Technology, Guangzhou, Guangdong, China
2 College of Civil Engineering, Guangzhou University, Guangzhou, Guangdong, China

Received: , Accepted: , Published:

Special Issues: Mathematical Methods in Civil Engineering

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Deflection is a crucial indicator to reflect the operating condition of girder bridges, which can be used to evaluate structure condition and identify abnormal loading. The paper analyzed the deflection characteristics of long-span girder bridges based on the coupling vibration between stochastic traffic stream and bridge. First, the latest research advances were integrated to form an analytical model of the coupling vibration between stochastic traffic stream and bridge. Then, a generalized Pareto distribution model based on peaks-over-threshold theory was established to predict the extreme girder deflection. Next, a cellular automaton based microsimulation method was proposed to model the traffic loads on bridges, which utilized the intelligent driver car-following model and acceptance distance based lane-changing model. Finally, these theories were applied in the case study of a long-span prestressed concrete continuous girder bridge. It is discovered from the study that, under the coupling vibration between stochastic traffic stream and bridge, the predicted extreme deflection of the case bridge is far lower than the specified design value. Hence, a grading warning model was established and employed to the analysis of deflection monitoring data of the bridge, showing a wide potential prospect of application.

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Keywords: long-span girder bridge; deflection; vehicle bridge interaction; cellular automaton; traffic microsimulation

Citation: Pan Zeng, Ronghui Wang, Zhuo Sun, Junyong Zhou. Deflection analysis of long-span girder bridges under vehicle bridge interaction using cellular automaton based traffic microsimulation. Mathematical Biosciences and Engineering, 2019, 16(5): 5652-5671. doi: 10.3934/mbe.2019281

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