Abstract
The paper considers a stochastic approach to modeling the actions of walking and has focus on the vibration serviceability limit state of footbridges. The use of a stochastic approach is novel, but useful, as it is more advanced than the quite simplistic deterministic load models seen in many design codes. Using a stochastic approach, however, requires a number of decisions to be made (statistical distributions and associated parameters) for walking parameters. These decisions might have an impact on the outcome of serviceability evaluations (bridge acceleration levels), but it is often not a simple matter to foresee their impact. The paper contributes by examining how some of these decisions influence the outcome of serviceability evaluations. The sensitivity study is made focusing on vertical footbridge response to single person loading.
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- f 0 :
-
Bridge frequency
- l s :
-
Stride length
- q :
-
Modal load
- e :
-
Response ratio
- ζ :
-
Bridge damping ratio
- f s :
-
Step frequency
- m :
-
Weight of pedestrian
- L :
-
Bridge length
- a :
-
Bridge acceleration
- μ :
-
Mean value
- f :
-
Walking load
- p :
-
Prob. density function
- M :
-
Bridge modal mass
- α :
-
Dynamic load factor
- σ :
-
Standard deviation
References
Dallard P, Fitzpatrick AJ, Flint A, Le Bourva S, Low A, Ridsdill-Smith RM, Wilford M (2001) The London millennium bridge. Struct Eng 79:17–33
Ontario Highway Engineering Division (1983) Ontario highway bridge design code, highway engineering division. Ministry of Transportation and Communication, Ontario
British Standard Institution (1978) Steel, concrete and composite bridges. Specification for loads, BS 5400: Part 2. BSI: London
Matsumoto Y, Nishioka T, Shiojiri H, Matsuzaki K (1978) Dynamic design of footbridges. In: Proceedings of IABSE, No. P-17/78: pp 1–15
Živanovic S (2006) Probability-based estimation of vibration for pedestrian structures due to walking. Ph.D thesis, Department of Civil and Structural Engineering, University of Sheffield, UK
Kerr SC, Bishop NWM (2001) Human induced loading on flexible staircases. Eng Struct 23:37–45
Ellis BR (2000) On the response of long-span floors to walking loads generated by individuals and crowds. Struct Eng 78:1–25
Bachmann H, Ammann W (1987) Vibrations in structures – induced by man and machines. IABSE Structural Engineering Documents 3e, Zürich
Rainer JH, Pernica G, Allen DE (1998) Dynamic loading and response of footbridges. Can J Civil Eng 15:66–78
Pedersen L, Frier C (2009) Sensitivity of footbridge vibrations to stochastic walking parameters. J Sound Vib. doi:10.1016/j.jsv.2009.12.022
Pedersen, L, Frier C (2009) Sensitivity study of stochastic walking load models. In: Proceedings of the 28th international modal analysis conference (IMAC XXVIII), Jacksonville
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© 2012 The Society for Experimental Mechanics, Inc. 2012
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Pedersen, L., Frier, C. (2012). Sensitivity of Footbridge Response to Load Modeling. In: Caicedo, J., Catbas, F., Cunha, A., Racic, V., Reynolds, P., Salyards, K. (eds) Topics on the Dynamics of Civil Structures, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2413-0_6
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DOI: https://doi.org/10.1007/978-1-4614-2413-0_6
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