Abstract
A new semi-analytical approach to analyze the dynamic response of railway bridges subjected to high-speed trains is presented. The bridge is modeled as an Euler–Bernoulli beam on viscoelastic supports that account for the flexibility and damping of the underlying soil. The track is represented by an Euler–Bernoulli beam on viscoelastic bedding. Complex modal expansion of the bridge and track models is performed considering non-classical damping, and coupling of the two subsystems is achieved by component mode synthesis (CMS). The resulting system of equations is coupled with a moving mass–spring–damper (MSD) system of the passing train using a discrete substructuring technique (DST). To validate the presented modeling approach, its results are compared with those of a finite element model. In an application, the influence of the soil–structure interaction, the track subsystem, and geometric imperfections due to track irregularities on the dynamic response of an example bridge is demonstrated.
Highlights
In the last two decades, the importance of the dynamics of railway bridges has grown considerably due to the increased development of high-speed railway lines
In a recent paper [20], such a beam model on viscoelastic supports crossed by a moving MSD system was developed. The solution of this coupled non-classically damped system was found by means of a dynamic substructuring technique (DST), and the approach of the MSD system at the beam and its departure after crossing the beam were approximated by simplifying assumptions
To validate the proposed semi-analytical modeling approach implemented in MATLAB [25], the results of an application example are compared with those of an finite element (FE) model created in the software suite Abaqus [1]
Summary
In the last two decades, the importance of the dynamics of railway bridges has grown considerably due to the increased development of high-speed railway lines. To determine the dynamic response of the coupled system, in a classical approach, both subsystems are first treated individually and coupled via a coupling condition at the point of contact [45] These models can only be created with great effort and do not allow parameter studies or stochastic simulations. In a recent paper [20], such a beam model on viscoelastic supports crossed by a moving MSD system was developed The solution of this coupled non-classically damped system was found by means of a dynamic substructuring technique (DST), and the approach of the MSD system at the beam and its departure after crossing the beam were approximated by simplifying assumptions. Some important findings on the consideration of rail irregularities are presented
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