A mathematical model conceived to simulate the mechanics of synchronous lateral excitation induced by pedestrians on footbridges is presented in this Note. The model is based on the mathematical and numerical decomposition of the coupled multiphysical non-linear system into two interacting subsystems: the Structure system, whose dynamics is described by the non-linear equation of motion, and the Crowd system, which is described by a first-order hydrodynamic model governed by the mass conservation equation. The model was applied to the simulation of a crowd event recorded on the T-bridge in Japan and results are commented on.
Un modèle mathématique conçu pour la simulation du phénomène de synchronisation forcée latérale d'une foule de piétons en marche sur une passerelle est présenté dans la présente étude. Le modèle consiste en la décomposition mathématique et numérique du système couplé nonlinéaire multi-physique en deux sous systèmes en interaction : le système Structure, décrit par des équations fondamentales nonlinéaires de la dynamique ; le système foule, qui est décrit par un modèle hydrodynamique du première ordre géré par l'équation de conservation de la masse. Le modèle est appliqué à la simulation de la foule traversant la passerelle du Toda Park au Japon.
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Mot clés : Systèmes dynamiques, Synchronisation, Interaction piétons–structure, Passerelles piétonnes
Fiammetta Venuti 1; Luca Bruno 1
@article{CRMECA_2007__335_12_739_0,
author = {Fiammetta Venuti and Luca Bruno},
title = {The synchronous lateral excitation phenomenon: modelling framework and an application},
journal = {Comptes Rendus. M\'ecanique},
pages = {739--745},
publisher = {Elsevier},
volume = {335},
number = {12},
year = {2007},
doi = {10.1016/j.crme.2007.10.007},
language = {en},
}
TY - JOUR AU - Fiammetta Venuti AU - Luca Bruno TI - The synchronous lateral excitation phenomenon: modelling framework and an application JO - Comptes Rendus. Mécanique PY - 2007 SP - 739 EP - 745 VL - 335 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2007.10.007 LA - en ID - CRMECA_2007__335_12_739_0 ER -
Fiammetta Venuti; Luca Bruno. The synchronous lateral excitation phenomenon: modelling framework and an application. Comptes Rendus. Mécanique, Volume 335 (2007) no. 12, pp. 739-745. doi : 10.1016/j.crme.2007.10.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.10.007/
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