Spectral Model for Crowd Walking Load
Publication: Journal of Structural Engineering
Volume 146, Issue 3
Abstract
Crowd walking is a common daily activity that can cause large vibrations on slender structures such as footbridges and long-span floors. Although modeling of crowd walking loads is critical in structural response prediction, this type of modeling is considered difficult due to the randomness in pedestrian walking gaits, temporal-spatial variation of walking procedures, and technical difficulties in crowd walking experiments. The authors developed a spectral model for crowd walking. First, the auto-power spectral density (PSD) function of an individual was adopted from a previous study. Inspired by research in earthquake engineering, the cross-power spectral density of every two persons in a crowd was developed, consisting of coherence functions and auto-PSDs. Coherence function parameters were proposed separately from experimental records for three pedestrian densities: unrestricted, restricted, and exceptionally restricted traffic conditions. After obtaining a PSD matrix for crowd walking, the structural responses could be predicted by the stochastic vibration theory. The feasibility of the model was verified by comparing the measured responses of a model footbridge with the prediction responses from the proposed spectral model.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (51778465 and U1711264), Shanghai University of TCM (ZYJKFW201811009). The authors also thank all test subjects for participating in the project, making the data collection possible.
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Published In
Journal of Structural Engineering
Volume 146 • Issue 3 • March 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Dec 28, 2018
Accepted: Jun 20, 2019
Published online: Dec 23, 2019
Published in print: Mar 1, 2020
Discussion open until: May 23, 2020
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