Abstract

In order to cover the complexity of coding and extend the generality on the road vehicle-bridge iteration, a process to solve vehicle-bridge interaction considering varied vehicle speed based on a convenient combination of Matlab Simulink and ANSYS is presented. In this way, the road vehicle is modeled in state space and the corresponding motion equations are solved using Simulink. The finite element model for the bridge is established and solved using ANSYS. The so-called inter-history iteration method is adopted to realize the interaction between the vehicle model and the bridge model. Different from typical method of road vehicle-bridge interaction in the vertical direction, a detailed longitudinal force model is set up to take into account the effects of varied vehicle speed. In the force model, acceleration and braking of the road vehicle are treated differently according to their mechanical nature. In the case studies based on a simply supported beam, the dynamic performance of the road vehicle and the bridge under varied vehicle speeds is calculated and discussed. The vertical acceleration characteristics of the midpoint of beam under varied vehicle speed can be grouped into two periods. The first one is affected by the load transform between the wheels, and the other one depends on the speed amplitude. Sudden change of the vertical acceleration of the beam and the longitudinal reaction force are observed as the wheels move on or off the bridge, and the bridge performs different dynamic responses during acceleration and braking.

Highlights

  • Because of the excitation from vehicles’ wheels, a bridge will produce dynamic deformation and vibration when a vehicle passes on, and the dynamic responses of the bridge will affect the dynamic performance of the vehicles in turn, that is, the so-called vehicle-bridge interaction (VBI) problem

  • It should be pointed out that the achievement of the above numerical methods for solving the VBI problem generally requires a compilation of complex computer programs, and the generality of these programs is limited to a certain extent

  • In the VBI system, the vehicle subsystem can be simulated as a numerical model in Simulink while the bridge subsystem can be modeled in ANSYS

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Summary

Introduction

Because of the excitation from vehicles’ wheels, a bridge will produce dynamic deformation and vibration when a vehicle passes on, and the dynamic responses of the bridge will affect the dynamic performance of the vehicles in turn, that is, the so-called vehicle-bridge interaction (VBI) problem. Blejwas et al [1] solved the VBI system by adopting the Lagrange multipliers to couple the motion equations of the vehicles and the bridges This method leads to an increase of the computational cost. Yang and Lin [2] used the dynamic condensation method to condense the degrees of freedom (DOFs) of the vehicle to the associated bridge, the integral equation of the VBI system can be derived and solved. This method is efficient for computing the bridge responses, but it is not adequate for computing the vehicle responses. It should be pointed out that the achievement of the above numerical methods for solving the VBI problem generally requires a compilation of complex computer programs, and the generality of these programs is limited to a certain extent

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