Abstract
Pedestrians may cause vibrations in footbridges and these vibrations may potentially be annoying. This calls for predictions of footbridge vibration levels and the paper considers a stochastic approach to modeling the action of pedestrians assuming walking parameters such as step frequency, pedestrian mass, dynamic load factor, etc. to be random variables. By this approach a probability distribution function of bridge response is calculated. The paper explores how sensitive estimates of probability distribution functions of bridge response are to some of the decisions to be made when modelling the footbridge and when describing the action of the pedestrians (such as for instance the number of load harmonics). Focus is on estimating vertical structural response to single person loading.
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Abbreviations
- a :
-
Bridge acceleration
- f 0 :
-
Bridge fundamental frequency
- f s :
-
Step frequency
- f :
-
Walking load
- l s :
-
Step length
- L :
-
Bridge length
- m :
-
Weight of pedestrian
- M 0 :
-
Bridge modal mass
- M :
-
Number of modes
- N :
-
Number of harmonics
- P :
-
Distribution function
- R :
-
Ratio
- α :
-
Dynamic load factor
- ζ :
-
Bridge damping ratio
- μ :
-
Mean value
- σ :
-
Standard deviation
- Θ :
-
Phase
- Φ :
-
Mode shape
References
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Acknowledgements
The authors acknowledge graduate students for doing some of the calculations.
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© 2015 The Society for Experimental Mechanics, Inc.
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Pedersen, L., Frier, C. (2015). Stochastic Load Models and Footbridge Response. 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_8
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DOI: https://doi.org/10.1007/978-3-319-15248-6_8
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