Abstract
Predictions of footbridge or long-span floor vibrations induced by pedestrian crowds can often prove inaccurate. One of the main deficiencies of the methods used for predicting these vibrations is the lack of consideration or erroneous representation of human-structure interaction (HSI). In this paper, the results from a series of footbridge tests designed to observe and then model HSI are presented. A laboratory footbridge was excited to three predetermined vibration amplitudes by an actuator, with and without the presence of pedestrians. In the tests with pedestrians, 4, 7 and 10 pedestrians were asked to walk repeatedly across the footbridge. Frequency response functions (FRF) of the footbridge with and without pedestrians were extracted from test data. To account for the HSI, pedestrians on the bridge were modeled as a spring-mass-damper (SMD) system attached to the footbridge. The mass, damping and stiffness of a single pedestrian were calculated by fitting the FRF obtained from the tests. It was found that the SMD models of pedestrians could adequately model HSI between a structure and its walking occupants. Furthermore, the stiffness and damping of the SMD model of a single pedestrian were found to be close to half of a standing person with two bent legs.
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References
Dallard P et al (2001) The London millennium footbridge. Struct Eng 79(22):17–33
Salyards KA, Noss NC (2014) Experimental evaluation of the influence of human-structure interaction for vibration serviceability. J Perform Constr Facil 28(3):458–465
Ellis B, Ji T (1997) Human-structure interaction in vertical vibrations. Proceed ICE Struct Build 122(1):1–9
Zivanovic S, Diaz IM, Pavić A (2009) Influence of walking and standing crowds on structural dynamic properties. In: Conference proceedings of the society for experimental mechanics series
Georgakis CT, Jørgensen NG (2013) Change in mass and damping on vertically vibrating footbridges due to pedestrians. In: Topics in dynamics of bridges, vol 3. Conference proceedings of the society for experimental mechanics series. Springer, New York, pp 37–45
Jørgensen NG (2009) Human structure interaction: influence of walking pedestrians on the dynamic properties of footbridge structures they occupy. Master thesis, Technical University of Denmark
Jones CA, Reynolds P, Pavic A (2011) Vibration serviceability of stadia structures subjected to dynamic crowd loads: a literature review. J Sound Vib 330(8):1531–1566
Wang D et al (2014) Presence of resonance frequencies in a heavily damped two-degree-of-freedom system. J Eng Mech 140(2):406–417
Dougill JW et al (2006) Human structure interaction during rhythmic bobbing. Struct Eng 84(22):32–39
Alexander NA (2006) Theoretical treatment of crowd – structure interaction dynamics. Proc Inst Civil Eng Struct Build 159(SB6):329–338
Griffin MJ (1996) Handbook of human vibration. Elsevier, Amsterdam
Matsumoto Y, Griffin MJ (2003) Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration. J Sound Vib 260(3):431–451
Wei L, Griffin J (1998) The prediction of seat transmissibility from measures of seat impedance. J Sound Vib 214(1):121–137
Hartog JPD (1985) Mechanical vibrations. Courier Dover Publications, New York
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© 2015 The Society for Experimental Mechanics, Inc.
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Zhang, M., Georgakis, C.T., Qu, W., Chen, J. (2015). SMD Model Parameters of Pedestrians for Vertical Human-Structure Interaction. In: Caicedo, J., Pakzad, S. (eds) Dynamics of Civil Structures, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15248-6_33
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DOI: https://doi.org/10.1007/978-3-319-15248-6_33
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15247-9
Online ISBN: 978-3-319-15248-6
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