Skip to main content Accessibility help
×
Home

Pedestrian-Induced Vibration of a Simply-Supported Beam

  • S.-H. Yin (a1)

Abstract

This paper presents an analytical approach to analyze the vertical vibration of a simply supported beam subjected to pedestrian-induced loads. The loading time history of an individual footstep is simplified as a rectangular force pulse, and each identical footstep load acts at different locations along the beam depending on a step length. Although the loading model is very simple, it enables us to find analytical relations between the pacing parameters and the beam response. The results showed that the dependence of the pacing period, footstep contact duration, time delay of traveling between two pedestrians on the natural period of the beam as well as the step length can influence the dynamic response of the beam significantly.

Copyright

Corresponding author

*Corresponding author (shihhsun@ntut.edu.tw)

References

Hide All
1. Yin, S. H., “Development of portable footbridges for disaster relief,” Proceedings of the Institution of Civil Engineers, Bridge Engineering, http://dx.doi.org/10.1680/bren.14.00033 (2015).
2. Blanchard, J., Davies, B. L. and Smith, J. W., “Design criteria and analysis for dynamic loading of footbridges,” Proceedings of the DOE and DOT TRRL Symposium on Dynamic Behaviour of Bridges, Crowthorne, UK, pp. 90106 (1977).
3. Wheeler, J. E., “Prediction and control of pedestrian induced vibration in footbridges,” Journal of the Structural Division-ASCE, 108, pp. 20452065 (1982).
4. Bachmann, H. and Ammann, W., “Vibrations in Structures - Induced by Man and Machines,” Structural Engineering Documents, Volume 3e, International Association of Bridge and Structural Engineering (IABSE), Zürich, (1987).
5. Rainer, J. H., Pernica, G. and Allen, D. E.Dynamic loading and response of footbridges,” Canadian Journal of Civil Engineering, 15, pp. 6671 (1988).
6. Ebrahimpour, A., Hamam, A., Sack, R. L. and Patten, W. N., “Measuring and modeling dynamic loads imposed by moving crowds,” Journal of Structural Engineering-ASCE, 122, pp. 14681474 (1996).
7. Brownjohn, J. M. W., Pavic, A. and Omenzetter, P., “A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking,” Canadian Journal of Civil Engineering, 31, pp. 6577 (2004).
8. Ingolfsson, E. T. and Georgakis, C. T., “A stochastic load model for pedestrian-induced lateral forces on footbridges,” Engineering Structures, 33, pp. 34543470 (2011).
9. Racic, V. and Brownjohn, J. M. W., “Mathematical modelling of random narrow band lateral excitation of footbridges due to pedestrians walking,” Computers & Structures, 90-91, pp. 116130 (2012).
10. Zivanovic, S., Pavic, A. and Reynolds, P., “Probability-based prediction of multi-mode vibration response to walking excitation,” Engineering Structures, 29, pp. 942954 (2007).
11. Bruno, L. and Venuti, F., “Crowd-structure interaction in footbridges: Modelling, application to a real case-study and sensitivity analyses,” Journal of Sound and Vibration, 323, pp. 475493 (2009).
12. Piccardo, G. and Tubino, F., “Simplified procedures for vibration serviceability analysis of footbridges subjected to realistic walking loads,” Computers & Structures, 87, pp. 890903 (2009).
13. Pedersen, L. and Frier, C., “Sensitivity of footbridge vibrations to stochastic walking parameters,” Journal of Sound and Vibration, 329, pp. 26832701 (2010).
14. Carroll, S. P., Owen, J. S. and Hussein, M. F. M., “A coupled biomechanical/discrete element crowd model of crowd-bridge dynamic interaction and application to the Clifton Suspension Bridge,” Engineering Structures, 49, pp. 5875 (2013).
15. Qin, J. W., Law, S. S., Yang, Q. S. and Yang, N., “Pedestrian-bridge dynamic interaction, including human participation,” Journal of Sound and Vibration, 332, pp. 11071124 (2013).
16. Pimentel, R. L., Pavic, A. and Waldron, P., “Evaluation of design requirements for footbridges excited by vertical forces from walking,” Canadian Journal of Civil Engineering, 28, pp. 769777 (2001).
17. Kasperski, M., “Vibration serviceability for pedestrian bridges,” Proceedings of the Institution of Civil Engineers, Structures & Buildings, 159, pp. 273282 (2006).
18. Zivanovic, S., “Benchmark Footbridge for Vibration Serviceability Assessment under the Vertical Component of Pedestrian Load,” Journal of Structural Engineering-ASCE, 138, pp. 11931202 (2012).
19. Van Nimmen, K., Lombaert, G., De Roeck, G. and Van den Broeck, P., “Vibration serviceability of footbridges: Evaluation of the current codes of practice,” Engineering Structures, 59, pp. 448461 (2014).
20. Li, Q., Fan, J., Nie, J., Li, Q. and Chen, Y., “Crowd-induced random vibration of footbridge and vibration control using multiple tuned mass dampers,” Journal of Sound and Vibration, 329, pp. 40684092 (2010).
21. Bruno, L., Venuti, F. and Nasce, V., “Pedestrian-induced torsional vibrations of suspended footbridges: Proposal and evaluation of vibration countermeasures,” Engineering Structures, 36, pp. 228238 (2012).
22. Tubino, F. and Piccardo, G., “Tuned mass damper optimization for the mitigation of human-induced vibrations of pedestrian bridges,” Meccanica, 50, pp. 809824 (2015).
23. Zivanovic, S., Pavic, A. and Reynolds, P., “Vibration serviceability of footbridges under human-induced excitation: a literature review,” Journal of Sound and Vibration, 279, pp. 174 (2005).
24. Racic, V., Pavic, A. and Brownjohn, J. M. W., “Experimental identification and analytical modelling of human walking forces: Literature review,” Journal of Sound and Vibration, 326, pp. 149 (2009).
25. Ingolfsson, E. T., Georgakis, C. T. and Jonsson, J., “Pedestrian-induced lateral vibrations of footbridges: A literature review,” Engineering Structures, 45, pp. 2152 (2012).
26. Biggs, J. M., Introduction to Structural Dynamics, McGraw-Hill, New York (1964).

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed