Vibration serviceability of footbridges: Evaluation of the current codes of practice

Abstract Contemporary footbridges are often designed as slender structures and tend to be susceptible to human induced vibrations. Codes of practice have been developed enabling the designer to evaluate the vibration serviceability of the structure based on simplified load models to simulate crowd induced loading. This paper evaluates the methodology of the recent European guideline HiVoSS and the French guideline Setra, which are widely applied in practice. For a selection of eight slender footbridges, the assessment is performed in design stage, based on the available finite element model, and at completion, based on the in situ identified modal characteristics. Comparison of the initially predicted and the in situ identified modal characteristics shows that uncertainty with respect to the predicted dynamic properties of the structure is inevitable. The methodologies are, however, sensitive to small variations in modal parameters, such as the natural frequencies. As a result, the guidelines in their current form could be exploited by designers to tune the dynamic characteristics of the structure in order to pass the vibration serviceability check. The present contribution recommends a modified load model that leads to a more robust vibration serviceability assessment.

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

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

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

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

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

[6]  Costas Papadimitriou,et al.  Joint input-response estimation for structural systems based on reduced-order models and vibration data from a limited number of sensors , 2012 .

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

[8]  Christiane Butz,et al.  Tuned Mass Dampers for the Footbridge of VW Autostadt in Wolfsburg, Germany , 2011 .

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

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

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

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

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

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

[15]  Guido De Roeck,et al.  Experimental Validation of the Vibration Serviceability Assessment of a Lightweight Steel Footbridge with Tuned Mass Damper , 2012 .

[16]  Setsuo Maeda,et al.  Factors affecting perception thresholds of vertical whole-body vibration in recumbent subjects: Gender and age of subjects, and vibration duration , 2011 .

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

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

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

[20]  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 .

[21]  Uwe Starossek,et al.  Design and Experimental Verification of a new Active Mass Damper for Control of Pedestrian-Induced Bridge Vibrations , 2011 .

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

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

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

[25]  Filipe Magalhães,et al.  Studies for controlling human-induced vibration of the Pedro e Ines footbridge, Portugal. Part 1: Assessment of dynamic behaviour , 2010 .

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

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