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Pedestrian-Induced Bridge Instability: The Role of Frequency Ratios

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Radiophysics and Quantum Electronics Aims and scope

The emergence of the pedestrian-induced bridge instability is conventionally associated with crowd synchrony; however, this view has been challenged. In this paper, we use a bio-mechanical pedestrian model in the form of an active inverted pendulum to analyze the average contribution of a single pedestrian to possibly uncorrelated crowd dynamics and bridge oscillations. We obtained that depending on the ratio of the bridge vibration and walking frequencies, the pedestrian can amplify bridge vibration or, surprisingly, extract energy from the bridge and damp bridge oscillations. In particular, we show that different combinations of the bridge and pedestrian step frequencies corresponding to the same or close frequency ratios can trigger two drastically different bridge dynamics, with enhanced or suppressed oscillations far from the resonances.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Georgia State University, Atlanta, USA

    I.V. Belykh & K. M. Daley

  2. Department of Control Theory, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    I.V. Belykh & V. N. Belykh

  3. Department of Mathematics, Volga State University of Water Transport, Nizhny Novgorod, Russia

    V. N. Belykh

Authors
  1. I.V. Belykh
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  2. K. M. Daley
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  3. V. N. Belykh
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Correspondence to V. N. Belykh.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 10, pp. 777–786, October 2021. Russian DOI: https://doi.org/10.52452/00213462_2021_64_10_777

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Belykh, I., Daley, K.M. & Belykh, V.N. Pedestrian-Induced Bridge Instability: The Role of Frequency Ratios. Radiophys Quantum El 64, 700–708 (2022). https://doi.org/10.1007/s11141-022-10172-5

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  • DOI: https://doi.org/10.1007/s11141-022-10172-5

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