A simplified method to account for the effect of human-human interaction on the pedestrian-induced vibrations of footbridges

Abstract For the design of slender footbridges, the vibration serviceability under pedestrian excitation is often the governing criterion. In design stage, vibration levels are predicted using simplified load models that are extrapolated from single-person force models to represent the effect of a crowd. However, these load models disregard Human-Human Interaction (HHI) and Human-Structure Interaction (HSI). This contribution investigates the effect of human-human interaction on the resulting structural response. A social force model is applied to simulate the realistic pedestrian traffic. The time-varying position and velocity of each pedestrian in the crowd are transferred into the necessary inputs for detailed step-by-step simulations of the pedestrian-induced forces and the resulting pedestrian-induced vibrations. The results show that accounting for HHI results into a reduced global walking speed. Also, the inter-person variability of the step frequencies is lower than when HHI is disregarded. As an alternative to the computationally expensive social force model, the effect of HHI is translated into an equivalent distribution of step frequencies of the pedestrians in the crowd. The results show that this simplified model allows for a very good approximation of the HHI effects on the resulting crowd-induced loading and structural response.

[1]  Nicholas A Alexander,et al.  Theoretical treatment of crowd-structure interaction dynamics , 2006 .

[2]  Guido De Roeck,et al.  Numerical and experimental evaluation of the dynamic performance of a footbridge with tuned mass dampers , 2016 .

[3]  Stana Živanović,et al.  Benchmark Footbridge for Vibration Serviceability Assessment under the Vertical Component of Pedestrian Load , 2012 .

[4]  Luca Bruno,et al.  Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges , 2007, Math. Comput. Model..

[5]  Luca Bruno,et al.  Crowd–structure interaction in footbridges: Modelling, application to a real case-study and sensitivity analyses , 2009 .

[6]  A. Seyfried,et al.  The fundamental diagram of pedestrian movement revisited , 2005, physics/0506170.

[7]  Helbing,et al.  Social force model for pedestrian dynamics. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  Geert Lombaert,et al.  Vibration serviceability of footbridges: Evaluation of the current codes of practice , 2014 .

[9]  Paul Archbold,et al.  Characteristic vertical response of a footbridge due to crowd loading. , 2011 .

[10]  Lubos Buzna,et al.  Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions , 2005, Transp. Sci..

[11]  Dirk Helbing,et al.  Simulating dynamical features of escape panic , 2000, Nature.

[12]  Quanwang Li,et al.  Crowd-induced random vibration of footbridge and vibration control using multiple tuned mass dampers , 2010 .