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FME Transactions
2013, vol. 41, iss. 4, pp. 271-278
article language: English
document type: unclassified

Modelling pedestrian interaction with perceptibly vibrating footbridges
School of Engineering, University of Warwick, United Kingdom



To evaluate the vibration serviceability of footbridge structures most structural engineers use pedestrian force models that are defined for walking on rigid surfaces. This approach is no longer applicable for slender, light-weight and low-frequency structures that are prone to perceptible vibrations under walking excitation. To overcome this issue, it is necessary to understand the pedestrian walking locomotion and how the locomotion process interacts with the vibrating structure. This paper compares three approaches for modelling pedestrian walking over lively structures, and it critically evaluates their suitability for modelling the feedback mechanism between the structure and the pedestrian. The models are evaluated with respect to their capability to reproduce human-like motion as well as to replicate the vibration patterns observed on lively bridges. It has been shown that models used in biomechanics are good candidates for applications in the structural engineering context.


pedestrian locomotion; lively bridge; vibration; interaction


*** (2008) UK National Annex to Eurocode 1: Actions on structures: Part 2: Traffic loads on bridges. British Standards Institution, NA to BS EN 1991-2:2003
*** (2007) ISO 10137:2007: Bases for design of structures-Serviceability of buildings and walkways against vibration. Geneva: ISO International Organization for Standardization
*** (2006) Footbridges: Assessment of vibrational behavior of footbridges under pedestrian loading: Technical guide. Paris: Service dEtudes Techniques des Routes et Autoroutes
Alexander, N.A. (2006) Theoretical treatment of crowd-structure interaction dynamics. Proceedings of the ICE - Structures and Buildings, 159(6): 329-338
Bocian, M., Macdonald, J.H.G., Burn, J.F. (2013) Biomechanically Inspired Modeling of Pedestrian-Induced Vertical Self-Excited Forces. Journal of Bridge Engineering, 18(12): 1336-1346
Brownjohn, J.M., Pavic, A., Omenzetter, P. (2004) A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking. Canadian Journal of Civil Engineering, 31(1): 65-77
Cadei, J., Startford, T. (2002) The design, construction and in-service performance of the all-composite Aberfeldy footbridge. in: Advanced Polymer Composites for Structural Applications in Construction, Proceedings, London: Thomas Telford
Dougill, J.W., Wright, J.R., Parkhouse, J.G., Harrison, R.E. (2006) Human structure interaction during rhythmic bobbing. Structural Engineer, vol. 84, 32-39
Gard, S.A., Miff, S.C., Kuo, A.D. (2004) Comparison of kinematic and kinetic methods for computing the vertical motion of the body center of mass during walking. Human Movement Science, 22(6): 597-610
Inman, V.T., Ralston, H., Todd, B. (1994) Human walking. Baltimore: Williams and Wilkins
Inman, V.T., Ralston, H., Todd, B. (1980) Human walking. Baltimore: Edwin Mellen Press Ltd
Pavic, A., Živanović, S., Reynolds, P. (2005) Human-structure dynamic interaction in footbridges. Proceedings of the ICE - Bridge Engineering, 158(4): 165-177
Piccardo, G., Tubino, F. (2012) Equivalent spectral model and maximum dynamic response for the serviceability analysis of footbridges. Engineering Structures, 40: 445-456
Racic, V., Pavic, A., Brownjohn, J.M.W. (2009) Experimental identification and analytical modelling of human walking forces: Literature review. Journal of Sound and Vibration, 326(1-2): 1-49
Racic, V., Brownjohn, J.M.W. (2011) Stochastic model of near-periodic vertical loads due to humans walking. Advanced Engineering Informatics, 25(2): 259-275
Saunders, J.B., Inman, V.T., Eberhart, H.D. (1953) The major determinants in normal and pathological gait. J Bone Joint Surg Am, 35: 543-558
Živanović, S., Pavic, A., Reynolds, P. (2005) Vibration serviceability of footbridges under human-induced excitation: a literature review. Journal of Sound and Vibration, 279(1-2): 1-74
Živanović, S., Pavić, A., Reynolds, P. (2007) Probability-based prediction of multi-mode vibration response to walking excitation. Engineering Structures, 29(6): 942-954
Živanović, S., Pavić, A., Ingólfsson, E.T. (2010) Modeling Spatially Unrestricted Pedestrian Traffic on Footbridges. Journal of Structural Engineering, 136(10): 1296-1308