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Modelling crowd-structure interaction

Published online by Cambridge University Press:  09 December 2010

Philippe Pécol*
Affiliation:
Université Paris-Est, Laboratoire Navier, École des Ponts-ParisTech, LCPC, CNRS, 6–8 Av. Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne la Vallée Cedex 2, France
Stefano Dal Pont
Affiliation:
Université Paris-Est, Laboratoire Central des Ponts et Chaussées, LCPC-BCC, 58 boulevard Lefebvre, 75732 Paris, France
Silvano Erlicher
Affiliation:
IOSIS Industries, 35 rue du Val de Marne, 75013 Paris, France
Pierre Argoul
Affiliation:
Université Paris-Est, Laboratoire Navier, École des Ponts-ParisTech, LCPC, CNRS, 6–8 Av. Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne la Vallée Cedex 2, France
*
a Corresponding author:philippe.pecol@enpc.fr
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Abstract

An emerging research topic in civil engineering is the dynamic interaction between crowdsand structures. Structures such as footbridges, which oscillate due to the crossing of agroup of pedestrians, or stands within stadia or concert halls, which vibrate due to therythmic movement of the audience are of particular interest. The objective of this studyis twofold: modelling the movement of pedestrians with consideration ofpedestrian-pedestrian, and pedestrian-obstacle interactions, and the incorporation of apedestrian-structure coupling in the previous model. Frémond’s model, which allows us tosimulate the movement of an assembly of particles and accounts for collisions amongconsidered rigid particles, is presented and adapted to the crowd by giving a willingnessto the circular particles, which allows each pedestrian to move according to a giventarget. To handle the crowd-structure interaction in the case of lateral oscillations offootbridges, the Kuramoto differential equation governing the time evolution of thelateral motion of each pedestrian is implemented in the previous model. Preliminaryresults obtained from numerical simulations are presented and discussed.

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Type
Research Article
Copyright
© AFM, EDP Sciences 2010

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