Foot force models of crowd dynamics on a wobbly bridge

Author:

Belykh Igor1ORCID,Jeter Russell1,Belykh Vladimir23

Affiliation:

1. Department of Mathematics and Statistics and Neuroscience Institute, Georgia State University, P. O. Box 4110, Atlanta, GA 30302–4110, USA.

2. Department of Mathematics, Volga State University of Water Transport, 5A Nesterov Street, Nizhny Novgorod 603951, Russia.

3. Department of Control Theory, Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Avenue, Nizhny Novgorod 603950, Russia.

Abstract

This study develops “crash test dummies” to help designers avoid their footbridges oscillating or bouncing alarmingly.

Funder

Directorate for Mathematical and Physical Sciences

Russian Foundation for Basic Research

Russian Science Foundation

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference57 articles.

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2. Huygens’s clocks;Bennett M.;Proc. R. Soc. A Math. Phys. Eng. Sci.,2002

3. A. Pikovsky M. Rosenblum J. Kurths Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge Univ. Press 2003) vol. 12.

4. The sympathy of two pendulum clocks: Beyond Huygens’ observations;Peña Ramirez J.;Sci. Rep.,2016

5. Consequential noise-induced synchronization of indirectly coupled self-sustained oscillators;Pankratova E. V.;Eur. Phys. J. Spec. Top.,2013

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