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International Journal of Steel Structures

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01-08-2022

Framework for Calculating the Vertical Human-Induced Vibration of the Suspension Footbridge Under the Random Pedestrian Flow

Authors: Yu Li, Dong-Shuo Yin, Jia-Hao Wang, Jia-Wu Li

Published in: International Journal of Steel Structures | Issue 5/2022

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Abstract

Currently, the problem of human-induced vibration of suspension footbridges is a research hotspot in bridge engineering. Moreover, on the suspension footbridge deck, the walking parameters of pedestrians, the simulation of random pedestrian flow, and the calculation method of human-induced vibration are the keys to solving the above problem. Therefore, in this paper, the following three studies have been carried out: (1) Firstly, the Jiufengshan suspension footbridge was taken as the observation site, and the statistical values of the step frequency (f), step length (l), and walking velocity (v) of pedestrians on the suspension footbridge deck were investigated and obtained. (2) Secondly, by combining the “social force model” with the obtained f, l, and v, a Matlab program was compiled to simulate the random pedestrian flow on the suspension footbridge deck. (3) Finally, by combining the above program with the vertical vibration equations of the human–footbridge coupling system, a Matlab program was compiled to calculate the vertical human-induced vibration of the suspension footbridge deck, which then was used to study the influence of the random pedestrian flow and human–footbridge coupling effect on the vertical human-induced vibration of the suspension footbridge deck. So, the above studies can provide a meaningful reference for the design of suspension footbridges.

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Bruno, L., Corbetta, A., & Tosin, A. (2016). From individual behaviour to an evaluation of the collective evolution of crowds along footbridges. Journal of Engineering Mathematics, 101(1), 153–173. https://doi.org/10.1007/s10665-016-9852-zMathSciNetCrossRefMATH

Buchmueller, S., & Weidmann., U. (2006). Parameters of pedestrians, pedestrian traffic and walking facilities. ETH, Zürich.

Caprani, C. C., & Ahmadi, E. (2016). Formulation of human–structure interaction system models for vertical vibration. Journal of Sound and Vibration, 377, 346–367. https://doi.org/10.1016/j.jsv.2016.05.015CrossRef

Caprani, C. C., Keogh, J., Archbold, P., & Fanning, P. (2011) Characteristic vertical response of a footbridge due to crowd loading. In Proceedings of the 8th international conference on structural dynamics (pp. 978–985).

Chraibi, M., Seyfried, A., & Schadschneider, A. (2010). Generalized centrifugal-force model for pedestrian dynamics. Physical Review E, 82(4), 046111. https://doi.org/10.1103/PhysRevE.82.046111CrossRef

Cristiani, E., Piccoli, B., & Tosin, A. (2011). Multiscale modeling of granular flows with application to crowd dynamics. Multiscale Modeling and Simulation, 9(1), 155–182. https://doi.org/10.1137/100797515MathSciNetCrossRefMATH

Ellis, B. R. (2000). On the response of long-span floors to walking loads generated by individuals and crowds. The Structural Engineer, 78(10), 17–25.

EN03-08. (2008). Human induced vibrations of steel structures. Design of footbridges guidelines, Research fund for coal and steel, German.

Fruin, J. J. (1971). Pedestrian planning and design. Metropolitan Association of Urban Designers and Environment Planners, New York.

Gallup, A. C., Hale, J. J., Sumpter, D. J. T., Garnier, S., Kacelnik, A., Krebs, J. R., & Couzin, I. D. (2012). Visual attention and the acquisition of information in human crowds. Proceedings of National Academy of Science of the United States of America, 109(19), 7245–7250. https://doi.org/10.1073/pnas.1116141109CrossRef

Gaspar, C., Caetano, E., Moutinho, C., & Silva, J. GSd. (2017). Biodynamic modelling of human rhythmic activities. Procedia Engineering, 199(12), 2802–2807. https://doi.org/10.1016/j.proeng.2017.09.556CrossRef

Ingólfsson, E. T., Georgakis, C. T., & Jönsson, J. (2015). Pedestrian-induced lateral vibrations of footbridges: A literature review. Engineering Structures, 45, 21–52. https://doi.org/10.1016/j.engstruct.2012.05.038CrossRef

Jiménez-Alonso, J. F., & Sáez, A. (2014). A direct pedestrian–structure interaction model to characterize the human induced vibrations on slender footbridges. Informes De La Construccion, 66, 1–9. https://doi.org/10.1007/978-3-319-15248-6_34CrossRef

Jiménez-Alonso, J. F., Sáez, A., Caetano, E., & Magalhães, F. (2016). Vertical crowd-structure interaction model to analyze the change of the modal properties of a footbridge. Journal of Bridge Engineering. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000828CrossRef

Kasperski, M., & Sahnaci, C. (2007). Service ability of pedestrian structures. In Proceedings of the 25th international modal analysis conference.

Kerr, S. C. (1998). Human induced loading of staircases. University College: London, UK.

Kerr, S. C., & Bishop, N. W. M. (2001). Human induced loadingon flexible staircases. Engineering Structures, 23(1), 37–45. https://doi.org/10.1016/S0141-0296(00)00020-1CrossRef

Li, H. L., & Chen, Z. Q. (2013). A calculation method for footbridge vibration under stochastic pedestrian loading. Journal of Hunan University (Natural Sciences) [In Chinese], 40(10), 22–31. https://doi.org/10.3969/j.issn.1674-2974.2013.10.004CrossRef

Li, Y., Chen, Z., Dong, S. J., & Li, J. W. (2021a). Study on the effects of pedestrians on the aerostatic response of a long-span pedestrian suspension bridge. KSCE Journal of Civil Engineering, 25(10), 1–13. https://doi.org/10.1007/s12205-021-2127-xCrossRef

Li, Y., & Li, C. (2020). Experimental investigations on the flutter derivatives of the pedestrian–bridge section models. KSCE Journal of Civil Engineering, 24(11), 3416–3434. https://doi.org/10.1007/s12205-020-0243-7CrossRef

Li, Y., Li, C., Liang, Y. D., & Li, J. W. (2022). Flutter derivative prediction of flat box girder based on integrated neural network. Journal of Wind Engineering & Industrial Aerodynamics, 222, 104939. https://doi.org/10.1016/j.jweia.2022.104939CrossRef

Li, Y., Li, C., Wang, F., & Li, J. W. (2021b). Study on the mechanism of the vortex-induced vibration of a bluff double-side box section. Steel and Composite Structures, 41(2), 293–315. https://doi.org/10.12989/scs.2021.41.2.293CrossRef

Matsumoto, Y., & Griffin, M. J. (2003). Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration. Journal of Sound and Vibration, 260(3), 431–451. https://doi.org/10.1016/S0022-460X(02)00941-0CrossRefMATH

Matsumoto, Y., Nishioka, T., Shiojiri, H., & Matsuzaki, K. (1978). Dynamic design of footbridges. In Proceedings of international association for bridge and structural engineering (pp. 1–15).

Matsumoto, Y., Sato, S., Nishioka, T., & Shiojiri, H. (1972). A study on design of pedestrian over-bridges. Transactions of the Japan Society of Civil Engineers, 4, 50–51.

Morbiato, T., Vitaliani, R., & Saetta, A. (2011). Numerical analysis of a synchronization phenomenon: Pedestrian–structure interaction. Computers & Structures, 89(12), 1649–1663. https://doi.org/10.1016/j.compstruc.2011.04.013CrossRef

Nimmen, K. V., Maes, K., Živanović, S., Lombaert, G., Roeck, G. D., & Broeck, P. V. d. (2015). Identification and modelling of vertical human–structure interaction. In Proceedings of the 33rd conference of the society of experimental mechanics (pp. 319–330). https://doi.org/10.1007/978-3-319-15248-6_34.

Older, S. J. (1964). Pedestrian. No. LN275/SJ0, Berkshire: Department of Scientific and Industrial Research, Road Research Laboratory, Crowthorne.

Pachi, A., & Ji, T. (2005). Frequency and velocity of people walking. The Structural Engineer, 83(3), 36–40.

Pedersen, L., & Frier, C. (2010). Sensitivity of footbridge vibrations to stochastic walking parameters. Journal of Sound and Vibration, 329, 2683–2701. https://doi.org/10.1016/j.jsv.2009.12.022CrossRef

Predtechenskii, V. M., & Milinskii, A. I. (1978). Planning for foot traffic flow in buildings. National Bureau of Standardsm, Amerind Publishing Co. Pvt. Ltd., New Delhi.

Rainer, J. H., Pernica, G., & Allen, D. E. (1988). Dynamic loading and response of footbridges. Canadian Journal of Civil Engineering, 15(1), 66–71. https://doi.org/10.1139/l88-007CrossRef

Sarkar, S. (1993). Determination of service levels for pedestrians, with European Examples." No. 1405, Transportation Research, Washington DC, pp. 35–42.

Shahabpoor, E. (2014). Dynamic interaction of walking humans with pedestrian structures in vertical direction experimentally based probabilistic modelling. Sheffield: University of Sheiffield.

Silva, F. T., & Pimentel, R. L. (2013). Modeling of crowd load in vertical direction using biodynamic model for pedestrians crossing footbridges. Canadian Journal of Civil Engineering, 40(12), 1196–1204. https://doi.org/10.1139/cjce-2011-0587CrossRef

Tanaboriboon, Y., Hwa, S. S., & Chor, C. H. (1986). Pedestrian characteristics study in Singapore. Journal of Transportation Engineering, 112(3), 229–235. https://doi.org/10.1061/(ASCE)0733-947X(1986)112:3(229)CrossRef

Toso, M. A., Gomes, H. M., da Silva, F. T., & Pimentel, R. L. (2016). Experimentally fitted biodynamic models for pedestrian–structure interaction in walking situations. Mechanical Systems and Signal Processing, 72–73, 590–606. https://doi.org/10.1016/j.ymssp.2015.10.029CrossRef

Tubino, F. (2018). Probabilistic assessment of the dynamic interaction between multiple pedestrians and vertical vibrations of footbridges. Journal of Sound and Vibration, 417, 80–96. https://doi.org/10.1016/j.jsv.2017.11.057CrossRef

Venuti, F., & Bruno, L. (2007). The synchronous lateral excitation phenomenon: Modelling framework and an application. Comptes Rendus Mécanique, 335(12), 739–745. https://doi.org/10.1016/j.crme.2007.10.007CrossRef

Venuti, F., Racic, V., & Corbetta, A. (2016). Modelling framework for dynamic interaction between multiple pedestrians and vertical vibrations of footbridges. Journal of Sound and Vibration, 379, 245–263. https://doi.org/10.1016/j.jsv.2016.05.047CrossRef

Wang, C. F., Gao, S. Q., Niu, S. H., & Liu, H. P. (2018). Influences of pedestrian SMD model parameters on dynamic characteristics of crowd–structure interaction. Journal of Vibration and Shock [in Chinese], 37(3), 91–97. https://doi.org/10.13465/j.cnki.jvs.2018.03.015CrossRef

Wheeler, J. E. (1982). Prediction and control of pedestrian induced vibration in footbridges. Journal of the Structural Division, 108(ST9), 2045–2065. https://doi.org/10.1016/0022-1694(82)90165-2CrossRef

Young, P. (2001) Improved floor vibration prediction methodologies. In Proceedings of arup vibration seminar on engineering for structure vibration-current developments in research and practice, London.

Zanlungo, F., Ikeda, T., & Kanda, T. (2011). Social force model with explicit collision prediction. Europhysics Letters, 93(6), 68005. https://doi.org/10.1209/0295-5075/93/68005CrossRef

Zhang, M. S., Chen, J., & Xu, R. T. (2016). MD and SMD model parameters of pedestrians for vertical humarrstructure interaction. Journal of Vibration Engineering [in Chinese], 29(5), 814–821. https://doi.org/10.1007/978-3-319-15248-6_33CrossRef

Zhang, M. S., Georgakis, C. T., Qu, W. J., & Chen, J. (2015). SMD model parameters of pedestrians for vertical human–structure interaction. Proceedings of the Society for Experimental Mechanics Series,. https://doi.org/10.1007/978-3-319-15248-6_33CrossRef

Zhang, P. B., Lu, T., Chen, B. Z., & Lu, S. M. (2005). Observation and analysis of pedestrian flow under time pressure. Chinese Journal of Ergonomics [in Chinese], 11(1), 8–10. https://doi.org/10.3969/j.issn.1006-8309.2005.01.003CrossRef

Živanović, S. (2006). Probability-based estimation of vibration for pedestrian structures due to walking. Ph.D, University of Sheffield, UK.

Zivanovic, S., Pavic, A., & Inuolfsson, E. T. (2010). Modelling spatially unrestricted pedestrian traffic on footbridges. Journal of Structural Engineering, 136(10), 1296–1308. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000226CrossRef

Živanović, S., Pavić, A., & Reynolds, P. (2007) Probability-based estimation of footbridge vibration due to walking. In Proceedings of the 25th international modal analysis conference.

Title: Framework for Calculating the Vertical Human-Induced Vibration of the Suspension Footbridge Under the Random Pedestrian Flow
Authors: Yu Li
Dong-Shuo Yin
Jia-Hao Wang
Jia-Wu Li
Publication date: 01-08-2022
Publisher: Korean Society of Steel Construction
Published in: International Journal of Steel Structures / Issue 5/2022
Print ISSN: 1598-2351
Electronic ISSN: 2093-6311
DOI: https://doi.org/10.1007/s13296-022-00640-z

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