A Method of Reinforcement and Vibration Reduction of Girder Bridges Using Shape Memory Alloy Cables

Bending and torsional vibrations caused by moving vehicle loads are likely to affect the traffic safety and comfort for girder bridges with limited torsional rigidity. This paper studies the use of cables made of shape memory alloy (SMA) as the devices of reinforcement and vibration reduction for girder bridges. The SMA cables are featured by their small volume, expedient installation. To investigate their effect on the vibration of girder bridges, theoretical analysis, numerical simulation and experimental study were conducted in this paper. For bending vibration, the governing equations of the girder with and without SMA cables subjected to moving vehicle loads were derived, while for torsional vibration, the finite element (FE) simulations were used instead. The results of bending and torsional vibrations obtained by the analytical approach and FE simulations, respectively, were compared with the experimental ones from model testing. It was confirmed that the SMA cables can restrain the vibration of the girder bridge effectively.

[1]  Yeong-Bin Yang,et al.  Vertical and pitching resonance of train cars moving over a series of simple beams , 2015 .

[2]  J. Yau.  Train-Induced Vibration Control of Simple Beams Using String-Type Tuned Mass Dampers , 2007 .

[3]  Roberto Alvarado Cárdenas,et al.  Vibration Reduction Performance of an Active Damping Control System for a Scaled System of a Cable-Stayed Bridge , 2015 .

[4]  M. D. Martínez-Rodrigo,et al.  Dynamic performance of existing high-speed railway bridges under resonant conditions following a retrofit with fluid viscous dampers supported on clamped auxiliary beams , 2014 .

[5]  G. Oliveto,et al.  COMPLEX MODAL ANALYSIS OF A FLEXURAL VIBRATING BEAM WITH VISCOUS END CONDITIONS , 1997 .

[6]  Y. M. Parulekar,et al.  PASSIVE RESPONSE CONTROL SYSTEMS FOR SEISMIC RESPONSE REDUCTION: A STATE-OF-THE-ART REVIEW , 2009 .

[7]  R. Boroschek,et al.  Dynamic characteristics of a long span seismic isolated bridge , 2003 .

[8]  M. D. Martínez-Rodrigo,et al.  Vibration control of simply supported beams under moving loads using fluid viscous dampers , 2007 .

[9]  Liang Gao,et al.  Reducing slab track vibration into bridge using elastic materials in high speed railway , 2011 .

[10]  Hao Xin,et al.  A New Approach for the Free Vibration of Steel Bridge Deck with Stiffeners , 2012 .

[11]  S. Krenk.  Complex modes and frequencies in damped structural vibrations , 2004 .

[12]  Byung-Wan Jo,et al.  Structural vibration of tuned mass damper-installed three-span steel box bridge , 2001 .

[13]  Yeong-Bin Yang,et al.  FREQUENCY VARIATION IN VEHICLE–BRIDGE INTERACTION SYSTEMS , 2013 .

[14]  Jianzhong Li,et al.  Vibration Control of Railway Bridges under High-Speed Trains Using Multiple Tuned Mass Dampers , 2005 .

[15]  Shyh-Rong Kuo,et al.  A rigid-body-qualified plate theory for the nonlinear analysis of structures involving torsional actions , 2013 .

[16]  A. Greco,et al.  Dynamic response of a flexural non-classically damped continuous beam under moving loadings , 2002 .

[17]  Yeong-Bin Yang,et al.  A wideband MTMD system for reducing the dynamic response of continuous truss bridges to moving train loads , 2004 .

[18]  Reginald DesRoches,et al.  Seismic retrofit of simply supported bridges using shape memory alloys , 2002 .

[19]  R. S. Jangid,et al.  EFFECTIVENESS OF SEISMIC ISOLATION FOR CABLE-STAYED BRIDGES , 2006 .

[20]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .

[21]  Hyun-Moo Koh,et al.  Vibration control of long-span high-speed railway bridges under periodic moving loading using viscoelastic damper , 2003 .

[22]  Joseph A. Main,et al.  Efficiency and tuning of viscous dampers on discrete systems , 2005 .

[23]  Yingjie Wang,et al.  INTERACTION RESPONSE OF TRAIN LOADS MOVING OVER A TWO-SPAN CONTINUOUS BEAM , 2013 .

[24]  Shehata E. Abdel Raheem.  Pounding mitigation and unseating prevention at expansion joints of isolated multi-span bridges , 2009 .

[25]  Krzysztof Wilde,et al.  Base isolation system with shape memory alloy device for elevated highway bridges , 2000 .

[26]  Donatello Cardone,et al.  Seismic Response of Simply Supported Deck Bridges with Auxiliary Superelastic Devices , 2011 .

[27]  Chi-Chang Lin,et al.  Vibration suppression for high-speed railway bridges using tuned mass dampers , 2003 .

[28]  Lorenza Petrini,et al.  Energy Dissipation in Shape Memory Alloy Devices , 1998 .

[29]  Yeong-Bin Yang,et al.  Vibration reduction for cable-stayed bridges traveled by high-speed trains , 2004 .

[30]  In-Won Lee,et al.  Vibration Control of Bridges under Moving Loads , 1998 .

[31]  Tianjian Ji,et al.  Equivalent representations of beams with periodically variable cross-sections , 2011 .

[32]  Yong-Lin Pi,et al.  Active/Robust Control of Longitudinal Vibration Response of Floating-type Cable-stayed Bridge Induced by Train Braking and Vertical Moving Loads , 2010 .