Modelling crowd-structure interaction
Résumé
An emerging problem in the dynamic field for civil engineering is the modeling of the dynamic effect due to crowd-structure interaction. Structures such as footbridges (which oscillate due to the crossing of a group of pedestrians) or the stands of stadia or concert halls (which vibrate due to the rhythmic movement of the audience) are particularly concerned. The objective of our study is double: model the movement of pedestrians with consideration of pedestrian-pedestrian and pedestrian-obstacle interactions and then include a pedestrian-structure coupling in the previous model. Frémond's model, allowing to simulate the movement of an assembly of particles and able to manage collisions among considered rigid particles, is presented and adapted to the crowd by giving a willingness to the circular particles (with a willingness to move according to a given target). A lateral oscillation model of each pedestrian using a Kuramoto model, to take into account the pedestrian-structure coupling, is implemented when the strusture is a footbridge. Numerical simulations are presented.