Abstract
Vibrations in footbridges may be problematic as excessive vibrations may occur as a result of actions of pedestrians. Design-stage predictions of levels of footbridge vibration to the action of a pedestrian are useful and have been employed for many years based on a deterministic approach to modeling the action of a pedestrian. The paper employs a probability-based approach to modeling the action of a pedestrian by considering randomness in the behavior of the pedestrian crossing the footbridge. The paper describes the approach and studies implications (sensitivity) of selected decisions made when setting up the probabilistic framework for the predictions of footbridge response.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- a :
-
Bridge acceleration
- f s :
-
Step frequency
- m 1 :
-
Bridge modal mass
- α :
-
Dynamic load factor
- σ :
-
Standard deviation
- f 1 :
-
Bridge fundamental frequency
- F :
-
Walking load
- L :
-
Bridge length
- ζ 1 :
-
Bridge damping ratio
- Θ :
-
Phase
- i :
-
Integer
- l s :
-
Step length
- W :
-
Weight of pedestrian
- μ :
-
Mean value
- Φ:
-
Mode shape
References
Dallard, P., Fitzpatrick, A.J., Flint, A., Le Bourva, S., Low, A., Ridsdill-Smith, R.M., Wilford, M.: The London Millennium Bridge. Struct. Eng. 79, 17–33 (2001)
Ontario Highway Bridge Design Code, Highway Engineering Division; Ministry of Transportation and Communication, Ontario, Canada, 1983
British Standard Institution: Steel, concrete and composite bridges. Specification for loads, BS 5400: Part 2, 1978
Matsumoto, Y., Nishioka, T., Shiojiri, H., Matsuzaki, K.: Dynamic design of footbridges, IABSE Proceedings, No. P-17/78, pp. 1–15, 1978
Živanovic, S.: Probability-based estimation of vibration for pedestrian structures due to walking, PhD thesis, Department of Civil and Structural Engineering, University of Sheffield, UK, 2006
Kerr, S.C., Bishop, N.W.M.: Human induced loading on flexible staircases. Eng. Struct. 23, 37–45 (2001)
Pedersen, L., Frier, C.: Sensitivity of footbridge vibrations to stochastic walking parameters. J. Sound Vib. 329, 2683–2701 (2009). doi:10.1016/j.jsv.2009.12.022
Ellis, B.R.: On the response of long-span floors to walking loads generated by individuals and crowds. Struct. Eng. 78, 1–25 (2000)
Bachmann, H., Ammann, W., Vibrations in structures—induced by man and machines, IABSE Structural Engineering Documents 3e, Zürich, Switzerland, 1987
Rainer, J.H., Pernica, G., Allen, D.E.: Dynamic loading and response of footbridges. Can. J. Civil Eng. 15, 66–78 (1998)
Živanovic, S., Pavic, A., Reynolds, P.: Probability-based prediction of multi-mode vibration response to walking excitation. Eng. Struct. 29, 942–954 (2007). doi:10.1016/j.engstruct.2006.07.004
Acknowledgements
This research was carried out in the framework of the project “UrbanTranquility” under the Intereg V program and the authors of this work gratefully acknowledge the European Regional Development Fund for the financial support.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Pedersen, L., Frier, C. (2017). Predicting Footbridge Vibrations Using a Probability-Based Approach. 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/10.1007/978-3-319-54777-0_24
Download citation
DOI: https://doi.org/10.1007/978-3-319-54777-0_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-54776-3
Online ISBN: 978-3-319-54777-0
eBook Packages: EngineeringEngineering (R0)