Inverse identification of the pedestrian characteristics governing human-structure interaction

Abstract The further development and improvement of prediction models for human-induced vibrations of footbridges requires detailed and accurate information on representative operational loading data. As direct force measurements are practically infeasible when a large number of pedestrians is involved, this paper proposes an inverse method to estimate the parameters that govern human-structure interaction from the resulting structural response. The parameters of interest concern the dynamic characteristics of a single-degree-of-freedom system, applied to describe the mechanical interaction between the pedestrian and the structure. The parameter estimation procedure assumes that the dynamic behaviour of the emtpy structure and the distribution of step frequencies in the crowd are known. The dynamic characteristics of the considered interaction model are estimated by minimizing the discrepancy between the observed and the simulated power spectral density of the structural response. The proposed approach is verified using numerical simulations.

[1]  Marco Tarabini,et al.  Quantification of changes in modal parameters due to the presence of passive people on a slender structure , 2014 .

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

[3]  Alessandro Corbetta,et al.  Modelling framework for dynamic interaction between multiple pedestrians and vertical vibrations of footbridges , 2016 .

[4]  Colin Christopher Caprani,et al.  Enhancement factors for the vertical response of footbridges subjected to stochastic crowd loading , 2012 .

[5]  Christos T. Georgakis,et al.  Recent advances in our understanding of vertical and lateral footbridge vibrations , 2014 .

[6]  Yong Lu,et al.  EURODYN 2014 (9th International Conference on Structural Dynamics), 30 June – 2 July 2014, Porto, Portugal , 2014 .

[7]  Guido De Roeck,et al.  REFERENCE-BASED STOCHASTIC SUBSPACE IDENTIFICATION FOR OUTPUT-ONLY MODAL ANALYSIS , 1999 .

[8]  Michael J. Griffin,et al.  Mathematical models for the apparent masses of standing subjects exposed to vertical whole-body vibration , 2003 .

[9]  Guido De Roeck,et al.  Human-Induced Vibrations of Footbridges: The Effect of Vertical Human-Structure Interaction , 2016 .

[10]  Stana Živanović,et al.  Modeling Spatially Unrestricted Pedestrian Traffic on Footbridges , 2010 .

[11]  Guido De Roeck,et al.  Reference-based combined deterministic–stochastic subspace identification for experimental and operational modal analysis , 2006 .

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

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

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

[15]  Aleksandar Pavic,et al.  Experimental identification and analytical modelling of human walking forces: Literature review , 2009 .

[16]  Lars Pedersen Implications of Interaction Between Humans and Structures , 2015 .

[17]  Aleksandar Pavic,et al.  Identification of mass–spring–damper model of walking humans , 2016 .

[18]  Paul Reynolds,et al.  Probability-based prediction of multi-mode vibration response to walking excitation , 2007 .

[19]  Jeremy F. Burn,et al.  Biomechanically Inspired Modeling of Pedestrian-Induced Vertical Self-Excited Forces , 2013 .

[20]  Federica Tubino,et al.  Serviceability assessment of footbridges in unrestricted pedestrian traffic conditions , 2016 .

[21]  Michael J. Griffin,et al.  DYNAMIC RESPONSE OF THE STANDING HUMAN BODY EXPOSED TO VERTICAL VIBRATION: INFLUENCE OF POSTURE AND VIBRATION MAGNITUDE , 1998 .