Development of a modelling framework for running safety analysis of a heavy-haul freight vehicle crossing a bridge under different loading conditions

Eduardo C. Granato , Gonçalo Ferreira , Pedro Montenegro , Túlio N. Bittencourt

Railway Engineering Science ›› : 1 -23.

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Railway Engineering Science ›› :1 -23. DOI: 10.1007/s40534-026-00441-8
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Development of a modelling framework for running safety analysis of a heavy-haul freight vehicle crossing a bridge under different loading conditions
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Abstract

Evaluation of train running safety for freight and heavy-haul railway vehicles is a poorly addressed topic in the literature, despite their distinct dynamic behaviour and track conditions compared with passenger and high-speed railways. For this purpose, a framework for the development of a three-dimensional numerical analysis of train running safety crossing a bridge using a vehicle–structure interaction methodology is presented. Numerical models of the railway bridge were developed and calibrated, and multibody models of the heavy-haul vehicles were created and optimised based on modal data. Structure and vehicle dynamic responses were obtained using the dynamic interaction models that consider nonlinear wheel–rail contact models. Assessment of structural and train running safety was performed for multiple train speeds for both loaded and unloaded vehicles using different degrees of rail geometric irregularities based on the Federal Railroad Administration’s power spectral density functions. The case study is a 550-metre-long railway bridge composed of 22 simply supported steel-concrete composite spans, crossed by heavy-haul vehicles of the gondola-type wagon with 375 kN axle loads. The safety of the bridge was assessed in terms of structural responses according to European codes, while the running safety of the vehicle was evaluated through indirect running safety indices as well as direct derailment coefficients based on vertical and lateral wheel–rail contact forces and more advanced criteria. It was found that in regular operational conditions, all indices are well below recommended limit values for loaded vehicles, whereas the unloaded vehicles presented a more unstable dynamic behaviour.

Keywords

Train running safety / Vehicle–structure interaction / Railway bridges / Heavy-haul vehicle

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Eduardo C. Granato, Gonçalo Ferreira, Pedro Montenegro, Túlio N. Bittencourt. Development of a modelling framework for running safety analysis of a heavy-haul freight vehicle crossing a bridge under different loading conditions. Railway Engineering Science 1-23 DOI:10.1007/s40534-026-00441-8

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Funding

Fundação de Amparo à Pesquisa do Estado de São Paulo(2021/12367-2 and 2024/06964-6)

Institute of Research and Development in Structures and Construction(UIDB/04708/2020 and Programmatic Funding - UIDP/04708/2020)

Fundação para a Ciência e Tecnologia(2022.00628.CEECIND)

Europe’s Rail Joint Undertaking(No. 101121765)

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