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Open AccessArticle

Sensitivity of the Vertical Response of Footbridges to the Frequency Variability of Crossing Pedestrians

1
Department of Construction and Manufacturing Engineering, University of Oviedo, Campus de Gijón 7.1.21, 33203 Gijón, Spain
2
Department of Construction and Manufacturing Engineering, University of Oviedo, Campus de Gijón 7.1.16, 33203 Gijón, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Vibration 2018, 1(2), 290-311; https://doi.org/10.3390/vibration1020020
Received: 10 October 2018 / Revised: 22 November 2018 / Accepted: 26 November 2018 / Published: 30 November 2018
(This article belongs to the Special Issue Vibration Serviceability of Civil Engineering Structures)
Contemporary design codes and guides for vibration serviceability assessment include some simplifications in load modelling. The same statistical distribution of the inter-pedestrian variability of the step interval (frequency) is proposed for all applications. Moreover, walking loads are considered to be periodic. The intra-pedestrian variability of the step interval is neglected. A more realistic load modelling trying to overcome the limitations of the codes is intended in this paper. Instead of a single mean value of the inter-pedestrian distribution of walking speed, a range of possible variation, which account for the real variations that occur in practice depending on the footbridge location and usage, is considered. An enhanced model is proposed in this paper to reproduce statistically both the intra- and inter-pedestrian variability of the step interval as a function of the walking speed distribution. This innovative model is then applied to study the sensitivity of the vertical response of footbridges to the variability of the step interval and to evaluate the influence of the aforementioned simplifications on the predicted characteristic responses. For this purpose, low-frequency footbridges excited by single-pedestrian crossings are chosen. The response is statistically characterized through Monte Carlo numerical simulations including 720 different configurations and 10,000 load cases in each configuration. Results of the study provide an overview of the influence of the footbridge and load parameters on the responses, which can be useful in practical applications where human–structure interactions are negligible. As for the simplifications of the codes, it is found that either using a single distribution to model the inter-pedestrian variability of the spatiotemporal parameters or neglecting the intra-pedestrian variability can lead to a significant underestimation of the characteristic response of footbridges. View Full-Text
Keywords: footbridges; walking loads; vibration serviceability; spatiotemporal parameters; step interval footbridges; walking loads; vibration serviceability; spatiotemporal parameters; step interval
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García-Diéguez, M.; Zapico-Valle, J.L. Sensitivity of the Vertical Response of Footbridges to the Frequency Variability of Crossing Pedestrians. Vibration 2018, 1, 290-311.

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