Abstract
Actions of humans on footbridges may result in structural vibrations that may be annoying to bridge users potentially rendering footbridges unfit for their intended use. Hence, it is useful to make predictions of footbridge vibrational performance already at the design stage involving estimation of levels of vibrations in the footbridge. Nowadays both deterministic and stochastic approaches are available for such evaluations. The have primary focus on probability-based approaches for predicting levels of floor vibrations. The predictions involve employing Monte Carlo simulations and the initial setting up of a stochastic framework describing the action of a walking person. The paper investigates the influence of selected decisions made by the engineer when setting up the basis for the prediction of levels of vibration in the footbridge.
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Abbreviations
- a :
-
Bridge acceleration
- F :
-
Walking load
- f 1 :
-
Bridge fundamental frequency
- f s :
-
Step frequency
- i :
-
Integer
- L :
-
Bridge length
- l s :
-
Step length
- m 1 :
-
Bridge modal mass
- θ :
-
Phase
- Q :
-
Modal load
- t :
-
Time
- v :
-
Pacing speed
- W :
-
Weight of pedestrian
- Φ :
-
Mode shape
- α :
-
Dynamic load factor
- μ :
-
Mean value
- σ :
-
Standard deviation
- ζ 1 :
-
Bridge damping ratio
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 (1983)
British Standard Institution: Steel, Concrete and Composite Bridges. Specification for Loads, BS 5400: Part 2. British Standards Institution, London (1978)
Matsumoto, Y., Nishioka, T., Shiojiri, H., Matsuzaki, K.: Dynamic design of footbridges. In: 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. (2009). https://doi.org/10.1016/j.jsv.2009.12.022
Živanovic, S., Pavic, A., Reynolds, P.: Probability-based prediction of multi-mode vibration response to walking excitation. Eng. Struct. 29, 942–954 (2007). https://doi.org/10.1016/j.engstruct.2006.07.004
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 (1987)
Rainer, J.H., Pernica, G., Allen, D.E.: Dynamic loading and response of footbridges. Can. J. Civ. Eng. 15, 66–78 (1998)
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.
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© 2019 The Society for Experimental Mechanics, Inc.
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Pedersen, L., Frier, C. (2019). Footbridge Vibrations Predicted by Stochastic Load Model. In: Pakzad, S. (eds) Dynamics of Civil Structures, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74421-6_8
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DOI: https://doi.org/10.1007/978-3-319-74421-6_8
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