Crowd-structure interaction in laterally vibrating footbridges: Comparison of two fully coupled approaches

Two models that deal with the crowd structure interaction have been developed in Navier Laboratory. The first is a 1D continuous model and the other is a 2D discrete one. In this paper, we present a summary of these two models. We compare the different approaches used to study the pedestrian structure coupling phenomenon.

We start by introducing the partial and ordinary differential equations that governs the dynamics of both the conti nuous and the discrete models. First, the equation of dynamics of the footbridge for the case of lateral vibrations is presented. Then, the Kuramoto phase equation is implemented for describing the coupling between the pedestrian s and the laterally moving deck of a footbridge. Results obtained from numerical simulations are presented.