Multi-Modal Control of Pedestrian Bridges Using Tuned-Mass-Dampers

This paper deals with the allocation and sizing of multiple tuned-mass-dampers (MTMDs) in an attempt to retrofit footbridges with multiple critical modes resulting from the excitation of pedestrian traffic. The simple and practical methodology proposed herein includes the use of an iterative analysis/redesign type procedure that converges to a given allowable level of acceleration. An example that uses this methodology to retrofit an existing footbridge is presented.

[1]  G. B. Warburton,et al.  Optimum absorber parameters for various combinations of response and excitation parameters , 1982 .

[2]  Oren Lavan,et al.  Fully stressed design of passive controllers in framed structures for seismic loadings , 2006 .

[3]  Hugo Bachmann,et al.  TUNED VIBRATION ABSORBERS FOR "LIVELY" STRUCTURES , 1995 .

[4]  Genda Chen,et al.  OPTIMAL PLACEMENT OF MULTIPLE TUNED MASS DAMPERS FOR SEISMIC STRUCTURES , 2001 .

[5]  Heinemeyer Cristoph,et al.  Design of Lightweight Footbridges for Human Induced Vibrations , 2009 .

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

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

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

[9]  R. Levy.  On the optimal design of trusses under one loading condition , 1985 .

[10]  Dong Zhao,et al.  Parameter Optimization of Multi-mode Vibration Control System , 2009, 2009 International Conference on Measuring Technology and Mechatronics Automation.

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

[12]  F. H. Cilley,et al.  Discussion of "The Exact Design of Statically Indeterminate Frame Works. An Exposition of Its Possibility, But Futility" , 1899 .

[13]  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 .

[14]  Alberto Zasso,et al.  Dynamic Analysis and Vibration Control of the Twin Deck Curved Suspension Foot/Cycle Bridge "Ponte Del Mare" , 2008 .

[15]  H. Yamaguchi,et al.  Fundamental characteristics of Multiple Tuned Mass Dampers for suppressing harmonically forced oscillations , 1993 .