Numerical and experimental evaluation of the dynamic performance of a footbridge with tuned mass dampers

AbstractThis article presents an evaluation of the dynamic behavior of a slender steel footbridge before and after the installation of two tuned mass dampers (TMDs). The results of the experimental study show that the damping devices lead to an increase of the effective damping ratio of the critical mode. Additional tests involving the structural vibrations induced by a limited number of persons revealed that the TMD units are effective in reducing the structural response. However, the obtained reduction highly depends on the type of human excitation. To verify the response of the footbridge for large groups and crowds, a comprehensive numerical analysis is performed. The results are compared to the response predicted by the procedures of the Setra and HiVoSS design guides. For the bridge without TMD units, a significantly higher structural response is predicted by the design guides; the bridge has a short span and is lightly damped, so the steady-state resonant conditions assumed in the design guides are...

[1]  Giuseppe Marano,et al.  A comparison between different robust optimum design approaches: Application to tuned mass dampers , 2010 .

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

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

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

[5]  Geert Lombaert,et al.  Characterisation of walking loads by 3D inertial motion tracking , 2014 .

[6]  Paul Reynolds,et al.  Vibration serviceability of stadia structures subjected to dynamic crowd loads: A literature review , 2011 .

[7]  Filipe Magalhães,et al.  Studies for controlling human-induced vibration of the Pedro e Inês footbridge, Portugal. Part 2: Implementation of tuned mass dampers , 2010 .

[8]  Wendell D. Varela,et al.  Control of vibrations induced by people walking on large span composite floor decks , 2011 .

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

[10]  Antonio Occhiuzzi,et al.  Loading models and response control of footbridges excited by running pedestrians , 2008 .

[11]  Federica Tubino,et al.  Tuned Mass Damper optimization for the mitigation of human-induced vibrations of pedestrian bridges , 2015 .

[12]  Mehdi Setareh,et al.  Pendulum Tuned Mass Dampers for Floor Vibration Control , 2006 .

[13]  Costas Papadimitriou,et al.  EFFECTS OF STRUCTURAL UNCERTAINTIES ON TMD DESIGN: A RELIABILITY-BASED APPROACH , 1997 .

[14]  Aleksandar Pavic,et al.  Influence of walking and standing crowds on structural dynamic properties , 2009 .

[15]  C Meinhardt Detailed numerical and experimental dynamic analysis of long-span footbridges to optimize structural control measures , 2012 .

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

[17]  A. Baz,et al.  Analytical Solutions to H∞ and H2 Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems , 2002 .

[18]  Colin Christopher Caprani,et al.  Application of the pseudo-excitation method to assessment of walking variability on footbridge vibration , 2014 .

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

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

[21]  John S. Owen,et al.  Modelling crowd–bridge dynamic interaction with a discretely defined crowd , 2012 .

[22]  Rik Pintelon,et al.  Uncertainty bounds on modal parameters obtained from stochastic subspace identification , 2008 .

[23]  Peter Burnton,et al.  Kurilpa Bridge – a Case Study , 2011 .

[24]  Michael Kasperski,et al.  A Refined Model for Human Induced Loads on Stairs , 2012 .

[25]  Felix Weber,et al.  Dynamic characteristics of controlled MR-STMDs of Wolgograd Bridge , 2013 .

[26]  Christos T. Georgakis,et al.  A stochastic load model for pedestrian-induced lateral forces on footbridges , 2011 .

[27]  A. Ruina,et al.  Multiple walking speed-frequency relations are predicted by constrained optimization. , 2001, Journal of theoretical biology.

[28]  Glauco Feltrin,et al.  Assessment of long-term behavior of tuned mass dampers by system identification , 2010 .

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

[30]  Guido De Roeck,et al.  Identification and modelling of vertical human-structure interaction , 2015 .

[31]  Lei Jin,et al.  Simulation of the Dynamic Characteristics of the Coupled System Structure , 2011 .

[32]  Jeremy F. Burn,et al.  Biomechanically-inspired modelling of pedestrian induced forces on laterally oscillating structures , 2012 .

[33]  Federica Tubino,et al.  Equivalent spectral model and maximum dynamic response for the serviceability analysis of footbridges , 2012 .

[34]  A. Kuo A simple model of bipedal walking predicts the preferred speed-step length relationship. , 2001, Journal of biomechanical engineering.

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

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