Analysis of statistical model of vehicle load for combined road-rail bridges based on WIM and SHM systems

LU Guangming; HE Yuelei; MENG Xiaoliang

doi:10.12299/jsues.24-0174

Volume 40 Issue 1

Mar. 2026

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LU Guangming, HE Yuelei, MENG Xiaoliang. Analysis of statistical model of vehicle load for combined road-rail bridges based on WIM and SHM systems[J]. Journal of Shanghai University of Engineering Science, 2026, 40(1): 43-48. doi: 10.12299/jsues.24-0174

Citation:

LU Guangming, HE Yuelei, MENG Xiaoliang. Analysis of statistical model of vehicle load for combined road-rail bridges based on WIM and SHM systems[J]. Journal of Shanghai University of Engineering Science, 2026, 40(1): 43-48. doi: 10.12299/jsues.24-0174

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Analysis of statistical model of vehicle load for combined road-rail bridges based on WIM and SHM systems

doi: 10.12299/jsues.24-0174

School of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2024-06-15
Available Online: 2026-05-27
Publish Date: 2026-03-01

Abstract

Abstract

The fatigue of combined road-rail bridges is caused by the coupling effect of motor vehicle and train loads. To investigate this phenomenon, the measured vehicle load data from the weigh-in-motion (WIM) system and the structural health monitoring (SHM) system of a kilometer-span combined road-rail suspension bridge over the Yangtze River were analyzed in depth. Typical probability density function was employed to fit parameters related to vehicle loads. The results show that the vehicle load parameters for both the road and railway are similar. The mass of motor vehicles follows a multimodal distribution with heavy-tailed characteristics. The axle mass ratio of motor vehicles and the axle mass of trains are normally distributed. The speed of the V10 vehicle model follows a Gaussian mixture distribution, while speeds of other vehicle models are normally distributed. The headway follows a gamma distribution, with train headways being significantly longer than those of motor vehicles. The high consistency between the simulated random traffic flow and the measured traffic flow indicates that the established statistical model of vehicle loads is applicable to the fatigue analysis of combined road-rail bridges.
- combined road-rail bridge,
- weigh-in-motion (WIM) system,
- structural health monitoring (SHM),
- probability density,
- vehicle load

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References(11)

References

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