Comptes Rendus
no. 4
An interpretative model of the pedestrian fundamental relation
[Un modèle interpretatif de la loi fondamentale pour les piétons]

Présenté par : Évariste Sanchez-Palencia

Fiammetta Venuti1  ; Luca Bruno1
1 Politecnico di Torino, Department of Structural Engineering and Geotechnics, Viale Mattioli 39, 10125 Torino, Italy
Comptes Rendus. Mécanique, Volume 335 (2007) no. 4, pp. 194-200.

La relation entre la densité et la vitesse des piétons a été principalement étudiée jusqu'au présent à travers une approche empirique et les lois fondamentales obtenues à partir de mesures expérimentales directes des grandeurs concernées. Cette étude propose un modèle phénoménologique capable de distinguer et de prendre en compte plusieurs facteurs qui peuvent affecter la relation densité–vitesse par le biais des phénomènes microscopiques engendrés. En particulier, l'effet des vibrations latérales de la plate-forme sur laquelle le piétons marche a été introduit en vue de l'utilisation de la loi fondamentale dans le cadre d'un modèle d'interaction piétons–structure appliqué aux passerelles piétonnes flexibles. La comparaison avec certaines des lois fondamentales empiriques montre un excellent accord et démontre que les principaux phénomènes sont correctement pris en compte par le modèle proposé.

The relation between density and velocity of pedestrian movement has so far mainly been analysed using an empirical approach and fundamental relations found from the fitting of experimental measurements of the main quantities. The present study proposes a phenomenological model that is able to distinguish and take into account various factors that can affect the density–velocity relation by means of the induced microscopic walking phenomena. In particular, the effect of the lateral vibrations of the platform on which pedestrians walk is considered in the light of the use of the fundamental diagrams within a crowd–structure interaction model applied to lively footbridges. A comparison with some of the empirical fundamental laws shows an excellent agreement, demonstrating that the main walking phenomena are correctly assumed in the present model.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2007.03.008
Keywords: Dynamical systems, Pedestrian flow, Fundamental relations, Footbridges
Mot clés : Systèmes dynamiques, Traffic pieton, Lois fondamentales, Passerelles piétonnes
Fiammetta Venuti 1 ; Luca Bruno 1

1 Politecnico di Torino, Department of Structural Engineering and Geotechnics, Viale Mattioli 39, 10125 Torino, Italy 
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Fiammetta Venuti; Luca Bruno. An interpretative model of the pedestrian fundamental relation. Comptes Rendus. Mécanique, Volume 335 (2007) no. 4, pp. 194-200. doi : 10.1016/j.crme.2007.03.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.03.008/

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