Pedestrian-induced lateral vibrations of footbridges: A literature review

Abstract The earliest scientific descriptions of excessive pedestrian-induced lateral vibrations are dated back to the 1970s, but it was not until the beginning of the new millennium that bridge engineers fully comprehended the potential negative effect of pedestrian crowds on long-span footbridges. Following the unexpected serviceability failures of Paris’ Solferino and London’s Millennium footbridges in 1999 and 2000, a new tract of research was initiated, focused on understanding the phenomenon which has become known as Synchronous Lateral Excitation (SLE). In this paper, a comprehensive review of studies related to pedestrian-induced lateral vibrations of footbridges is provided, primarily focusing on studies published within the last decade. Research in this field can generally be split into three categories; (i) full-scale testing of existing bridges subject to crowd loading, (ii) laboratory studies on human-structure interaction between single pedestrians and laterally moving platforms and (iii) mathematical modelling of the pedestrian-induced load. It is shown herein, that a significant amount of research has been carried out within each of the three categories, but there is only limited interconnection, particularly between the mathematical models on one side and the empirical observations on the other. The main purpose of this review is to provide this link, through a detailed and critical review of publications within each of the three categories.

[1]  Piotr Omenzetter,et al.  LONG SPAN STEEL PEDESTRIAN BRIDGE AT SINGAPORE CHANGI AIRPORT - PART 2: CROWD LOADING TESTS AND VIBRATION MITIGATION MEASURES , 2004 .

[2]  Pierre Argoul,et al.  Lateral Vibration of Footbridges under Crowd-Loading: Continuous Crowd Modeling Approach , 2007 .

[3]  Yozo Fujino,et al.  An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam , 1993, Nonlinear Dynamics.

[4]  Francesco Ricciardelli,et al.  Experimental validation and calibration of pedestrian loading models for footbridges , 2007 .

[5]  Elsa Caetano,et al.  Dynamic behaviour of a long span stainless steel arch footbridge , 2002 .

[6]  Roger L. Hughes,et al.  A continuum theory for the flow of pedestrians , 2002 .

[7]  George Yannis,et al.  A critical assessment of pedestrian behaviour models , 2009 .

[8]  Chris Barker,et al.  Footbridge Pedestrian Vibration Limits Part 1: Pedestrian Input , 2005 .

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

[10]  Lorenzo Procino,et al.  Lateral human-structure interaction on footbridges , 2010 .

[11]  R. N. Stauffer,et al.  Normative data of knee joint motion and ground reaction forces in adult level walking. , 1983, Journal of biomechanics.

[12]  H. Gulvanessian,et al.  EN1990 Eurocode—Basis of structural design , 2001 .

[13]  John H G Macdonald,et al.  Pedestrian-induced vibrations of the Clifton Suspension Bridge, UK , 2008 .

[14]  P Dallard,et al.  The London Millennium Footbridge , 2001 .

[15]  Angus Low Design for dynamic effects in long span footbridges , 2009 .

[16]  Chris Barker,et al.  Footbridge Pedestrian Vibration Limits Part 2: Human Sensitivity , 2005 .

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

[18]  David E. Newland,et al.  Vibration of the London Millennium Bridge: Cause and Cure , 2003 .

[19]  Aleksandar Pavic,et al.  Key results of modal testing of the Millennium Bridge, London , 2002 .

[20]  Shun-ichi Nakamura MODEL FOR LATERAL EXCITATION OF FOOTBRIDGES BY SYNCHRONOUS WALKING , 2004 .

[21]  Luca Bruno,et al.  Crowd-structure interaction in lively footbridges under synchronous lateral excitation: A literature review. , 2009, Physics of life reviews.

[22]  Yves Duchêne,et al.  Dynamic Behaviour of Ceramique Footbridge (Maastricht, NL) , 2005 .

[23]  Alexander N. Blekherman Autoparametric Resonance in a Pedestrian Steel Arch Bridge: Solferino Bridge, Paris , 2007 .

[24]  Chris Barker Footbridge Pedestrian Vibration Limits Background to Response Calculation , 2007 .

[25]  Luca Bruno,et al.  An interpretative model of the pedestrian fundamental relation , 2007 .

[26]  Francesco Ricciardelli An experimental investigation into the interaction among walkers in groups and crowds , 2010 .

[27]  Christiane Butz,et al.  Experimental characterization of the dynamic behaviour of lively footbridges , 2005 .

[28]  Angus Low,et al.  PEDESTRIAN-INDUCED VIBRATION OF FOOTBRIDGES , 2000 .

[29]  Filipe Magalhães,et al.  Lessons from the practical implementation of a passive control system at the new Coimbra footbridge , 2008 .

[30]  Bill Wolmuth,et al.  CROWD-RELATED FAILURE OF BRIDGES , 2003 .

[31]  Edward Ott,et al.  Crowd synchrony on the London Millennium Bridge. , 2006, Chaos.

[32]  Pierre Argoul,et al.  MODELING THE LATERAL PEDESTRIAN FORCE ON RIGID AND MOVING FLOORS BY A SELF-SUSTAINED OSCILLATOR , 2009 .

[33]  Edward Ott,et al.  Low dimensional description of pedestrian-induced oscillation of the Millennium Bridge. , 2009, Chaos.

[34]  Patricia M McAndrew,et al.  Walking Variability during Continuous Pseudo-random Oscillations of the Support Surface and Visual Field , 2022 .

[35]  Luca Bruno,et al.  Synchronous lateral excitation on lively footbridges: modelling and application to the T-bridge in Japan , 2008 .

[36]  Federica Tubino,et al.  A Loading Model for the Interpretation of Lateral Vibrations of Flexible Footbridges , 2011 .

[37]  Christiane Butz Codes of Practice for Lively Footbridges: State-of-the-Art and Required Measures , 2008 .

[38]  Hugo Bachmann Case Studies of Structures with Man-Induced Vibrations , 1992 .

[39]  Luca Bruno,et al.  CROWD-STRUCTURE INTERACTION:DYNAMICS MODELLING AND COMPUTATIONAL SIMULATIONS , 2005 .

[40]  Christiane Butz,et al.  Effectiveness of Horizontal Tuned Mass Dampers Exemplified at the Footbridge in Coimbra , 2008 .

[41]  Yozo Fujino,et al.  Lateral Vibration on a Pedestrian Cable-Stayed Bridge , 2002 .

[42]  Christiane Butz,et al.  Bemessungskonzept für fußgängerinduzierte Brückenschwingungen , 2007 .

[43]  Metadata Front-end Semester Project Report , 2013 .

[44]  Pierre Argoul,et al.  Crowd-Structure Synchronization: Coupling Between Eulerian Flow Modeling and Kuramoto Phase Equation , 2008 .

[45]  Uwe Häberle,et al.  Eine Fußgängerbrücke mit einer Spannweite von 230 m , 2007 .

[46]  P. Terrier,et al.  GPS analysis of human locomotion: further evidence for long-range correlations in stride-to-stride fluctuations of gait parameters. , 2005, Human movement science.

[47]  A. Hof,et al.  Control of lateral balance in walking. Experimental findings in normal subjects and above-knee amputees. , 2007, Gait & posture.

[48]  S H Strogatz,et al.  Coupled oscillators and biological synchronization. , 1993, Scientific American.

[49]  Aleksandar Pavic,et al.  Statistical characterisation of parameters defining human walking as observed on an indoor passerelle , 2007 .

[50]  Einar N. Strømmen,et al.  Dynamic Properties from Full Scale Recordings and FE-Modelling of a Slender Footbridge with Flexible Connections , 2008 .

[51]  Bernard Vaudeville,et al.  The Bercy-Tolbiac footbridge in Paris , 2002 .

[52]  Edward Ott,et al.  Modeling walker synchronization on the Millennium Bridge. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[53]  Piotr Omenzetter,et al.  A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking , 2004 .

[54]  James Eyre Aesthetics of footbridge design , 2002 .

[55]  Per-Erik Eriksson Vibration of Low-Frequency Floors - Dynamic Forces and Response Prediction , 1994 .

[56]  Xingli Li,et al.  Analysis of pedestrian dynamics in counter flow via an extended lattice gas model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[57]  Shun-ichi Nakamura,et al.  Lateral vibration of footbridges by synchronous walking , 2006 .

[58]  Christiane Butz A Probabilistic Engineering Load Model for Pedestrian Streams , 2008 .

[59]  Christiane Butz,et al.  Advanced load models for synchronous pedestrian excitation and optimised design guidelines for steel footbridges , 2008 .

[60]  Yozo Fujino,et al.  Image Processing for Capturing Motions of Crowd and Its Application to Pedestrian-Induced Lateral Vibration of a Footbridge , 2007 .

[61]  Edward Ott,et al.  Theoretical mechanics: Crowd synchrony on the Millennium Bridge , 2005, Nature.

[62]  Joan Lasenby,et al.  Section model tests on human – structure lock-in , 2002 .

[63]  Christoph Heinemeyer Markus Feldmann European design guide for footbridge vibration , 2009 .

[64]  Ris S. C. Lee,et al.  Minimisation of the risk of trampling in a crowd , 2007, Math. Comput. Simul..

[65]  Einar Thór Ingólfsson,et al.  Pedestrian-induced lateral vibrations of footbridges: Experimental studies and probabilistic modelling , 2011 .

[66]  Filipe Magalhães,et al.  The role of dynamic testing in design, construction and long-term monitoring of lively footbridges , 2008 .

[67]  Hugo Bachmann,et al.  Vibrations in structures , 1987 .

[68]  Elsa Caetano,et al.  Implementation of Passive Devices for Vibration Control at Coimbra Footbridge , 2007 .

[69]  C. Barker Some observations on the nature of the mechanism that drives the self-excited lateral response of footbridges , 2002 .

[70]  Paul Reynolds,et al.  Modal testing of a 34m catenary footbridge , 2002 .

[71]  J E Wheeler Crowd loading on footbridges , 1981 .

[72]  Alan Crowe,et al.  The influence of walking speed on parameters of gait symmetry determined from ground reaction forces , 1996 .

[73]  Elsa Caetano,et al.  Assessment and control of human-induced vibrations in the new Coimbra footbridge , 2005 .

[74]  Christos T. Georgakis,et al.  Vertical footbridge vibrations: Towards an improved and codifiable response evaluation , 2007 .

[75]  Michael Willford Dynamic actions and reactions of pedestrians , 2002 .

[76]  E. C. Hodgman,et al.  A conceptual framework to guide nursing curriculum. , 1973, Nursing forum.

[77]  R. Hughes The flow of human crowds , 2003 .

[78]  Pilate Moyo,et al.  Long span steel pedestrian bridge at Singapore Changi Airport - part 1: Prediction of vibration serviceability problems , 2004 .

[79]  James D. Kurfess,et al.  The Compton Gamma Ray Observatory , 1993 .

[80]  T. M. Roberts,et al.  Probabilistic pedestrian lateral excitation of bridges , 2005 .

[81]  Paul Reynolds,et al.  Vibration serviceability of footbridges under human-induced excitation : a literature review , 2005 .

[82]  C. Phillips,et al.  Crossing the River , 1993 .

[83]  D Walton,et al.  Field observations of factors influencing walking speeds , 2007 .

[84]  Limin Sun Study on Pedestrian-Induced Vibration of Footbridge , 2008 .

[85]  Bojidar Yanev,et al.  Investigation of the Dynamic Properties of the Brooklyn Bridge , 2005 .

[86]  Filipe Magalhães,et al.  Comparison of Damping Estimates from Ambient and Free Vibration Tests in Large Structures , 2007 .

[87]  Jiří Stráský New structural concept for footbridges , 2002 .

[88]  John H G Macdonald,et al.  Lateral excitation of bridges by balancing pedestrians , 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[89]  Bruce A. Kay,et al.  Coupling of posture and gait: mode locking and parametric excitation , 2001, Biological Cybernetics.

[90]  Hugo Bachmann,et al.  Vibration Problems in Structures: Practical Guidelines , 1994 .

[91]  Pierre Argoul,et al.  Modeling the lateral pedestrian force on a rigid floor by a self-sustained oscillator , 2010 .

[92]  John S. Owen,et al.  Crowd-bridge interaction by combining biomechanical and discrete element models , 2011 .

[93]  Wasoodev Hoorpah Footbridges Conference: History, Reason and the Way Forward , 2008 .

[94]  Shun-ichi Nakamura,et al.  Experimental studies on lateral forces induced by pedestrians , 2008 .

[95]  Alexander N. Blekherman SWAYING OF PEDESTRIAN BRIDGES , 2005 .

[96]  Francesco Ricciardelli,et al.  Experimental identification of pedestrian-induced lateral forces on footbridges , 2011 .

[97]  John E. Wheeler PREDICTION AND CONTROL OF PEDESTRIAN-INDUCED VIBRATION IN FOOTBRIDGES , 1982 .

[98]  David Newland,et al.  Pedestrian excitation of bridges , 2004 .

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

[100]  Aleksandar Pavic,et al.  Crowd dynamic loading on footbridges , 2009 .

[101]  Daniel M. Abrams,et al.  Two Coupled Oscillator Models: The Millennium Bridge and The Chimera State , 2006 .

[102]  Shun-ichi Nakamura,et al.  A method for predicting the lateral girder response of footbridges induced by pedestrians , 2009 .

[103]  Yozo Fujino,et al.  Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge , 1993 .

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

[105]  Paul Reynolds,et al.  Modal testing and FE model tuning of a lively footbridge structure , 2006 .

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

[107]  T. M. Roberts,et al.  Lateral Pedestrian Excitation of Footbridges , 2005 .

[108]  Francesco Ricciardelli,et al.  Motion-Dependent Lateral Walking Forces on Footbridges , 2011 .

[109]  Francesco Ricciardelli Lateral Loading of Footbridges by walkers , 2005 .

[110]  Angus Low,et al.  LONDON MILLENNIUM BRIDGE: PEDESTRIAN-INDUCED LATERAL VIBRATION , 2001 .

[111]  Francesco Ricciardelli,et al.  Lateral Walking-Induced Forces on Footbridges , 2007 .

[112]  Robert B. Noland,et al.  Behavioural Issues in Pedestrian Speed Choice and Street Crossing Behaviour: A Review , 2008 .

[113]  James M. W. Brownjohn,et al.  Mathematical modelling of random narrow band lateral excitation of footbridges due to pedestrians walking , 2012 .

[114]  Chris Barker Footbridge Pedestrian Vibration Limits Part 3: Background to Response Calculation , 2005 .

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

[116]  Jacob J Bloomberg,et al.  Strategies of healthy adults walking on a laterally oscillating treadmill. , 2013, Gait & posture.

[117]  D E Newl Pedestrian excitation of bridges , 2004 .

[118]  Aleksandar Pavic,et al.  Methodology for modal testing of the Millennium Bridge, London , 2002 .

[119]  Luca Bruno,et al.  A new load model of the pedestrian lateral action , 2008 .

[120]  T P Andriacchi,et al.  Walking speed as a basis for normal and abnormal gait measurements. , 1977, Journal of biomechanics.

[121]  Chi-Wang Shu,et al.  Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm , 2009 .

[122]  Federica Tubino,et al.  Parametric resonance of flexible footbridges under crowd-induced lateral excitation , 2008 .

[123]  Tianjian Ji,et al.  FREQUENCY AND VELOCITY OF PEOPLE WALKING , 2005 .

[124]  Francesco Ricciardelli,et al.  Experimental evaluation of the dynamic lateral loading of footbridges by walking pedestrians , 2005 .

[125]  Motoki Kouzaki,et al.  Variability of ground reaction forces during treadmill walking. , 2002, Journal of applied physiology.

[126]  Luca Bruno,et al.  The pedestrian speed-density relation: modelling and application , 2008 .

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