A new numerical method for analysing the interaction of a bridge structure and travelling cars due to multiple high-speed trains

Abstract

Dynamic interaction between a 10-DOF high-speed train model and a simply supported bridge beam is studied. The second-order coupled equations of the bridge beam and train are derived using Lagrange method. The proposed method in the study provides considerable advantage by taking 0.5% of the time needed in analysing the train-bridge interaction (TBI) previously given in the literature using the finite element method (FEM). The presented modelling that includes the dynamic forces on the train components from the interaction, is created in a manner that it may assist both train and bridge engineers. It is showed that, while moving on the bridge, the dynamic forces on the train body, front and rear bogies, wheels as well as bridge are significantly affected by the speed and mass of the train, along with the flexibility of the bridge. Effects of multiple cars are included in the modelling.