Abstract
This paper investigates the random vibration and the dynamic reliability of operation stability of train moving over slab track on bridge under track irregularities and earthquakes by the pseudoexcitation method (PEM). Each vehicle is modeled by multibody dynamics. The track and bridge is simulated by a rail-slab-girder-pier interaction finite element model. The coupling equations of motion are established based on the wheel-rail interaction relationship. The random excitations of the track irregularities and seismic accelerations are transformed into a series of deterministic pseudoexcitations by PEM. The time-dependent power spectral densities (PSDs) of the random vibration of the system are obtained by step-by-step integration method, and the corresponding dynamic reliability is estimated based on the first-passage failure criterion. A case study is then presented in which a high-speed train moves over a slab track resting on a simply supported girder bridge. The PSD characteristics of the random vibration of the bridge and train are analyzed, the influence of the wheel-rail-bridge interaction models on the random vibration of the bridge and train is discussed, and furthermore the influence of train speed, earthquake intensity, and pier height on the dynamic reliability of train operation stability is studied.
Highlights
High-speed railway has become one of the most important forms of public transportation in many countries [1,2,3]
This paper investigates the random vibration and the dynamic reliability of operation stability of train moving over slab track on bridge under track irregularities and earthquakes by the pseudoexcitation method (PEM)
The three-dimensional vibration model of the train-slab track-bridge interaction (TSTBI) system is firstly established by finite element method (FEM), the equations of motion for the entire system are derived by means of energy principle
Summary
High-speed railway has become one of the most important forms of public transportation in many countries [1,2,3]. To the knowledge of the authors, rather few researches have conducted on the random vibrations and the stability of trains running over ballastless track on bridges shaken by earthquake It follows that the index values computed for the evaluation of the random vibrations and the stability of trains may not be accurate enough for modern high-speed and urban railways, in which the ballastless tracks, for example, slab track, are widely used [20,21,22,23,24,25]. A high-speed train consisting of eight vehicles moving over a slab track resting on a fifteen-span supported girder bridge is presented. Each node of the pier has three DOFs, that is, lateral displacement, vertical displacement, and rotation about the x-axis
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