Inertial mass damper for vibration control of cable with sag

It has been theoretically predicted that superior supplemental damping can be generated for a taut cable with an inertial mass damper. This paper extends previous studies to investigate the effect of the cable sag on the efficiency of an inertial mass damper. The general dynamic characteristics of an inclined sag cable with an inertial mass damper installed close to the cable end are theoretically investigated. The parametric analysis of the inertial mass and the damping coefficient of the inertial mass damper are conducted to evaluate the control performance of the cable with different sags. The results show that the inertial mass damper can alleviate the negative effect induced by the cable sag, and the cable sag can even increase modal damping ratios provided by the inertial mass damper. Sags of stay cables used in actual bridges only affect nearly symmetric vibrations of cables, while having little impact on nearly antisymmetric vibrations. The effect of cable sags will reduce the optimal damping coefficient and inertial mass of the inertial mass damper for the first symmetric mode of the cable.

[1]  Billie F. Spencer,et al.  MR damping system for mitigating wind-rain induced vibration on Dongting Lake cable-stayed bridge , 2004 .

[2]  C. S. Cai,et al.  Cable Vibration Control with a TMD-MR Damper System: Experimental Exploration , 2007 .

[3]  H. M. Irvine,et al.  The linear theory of free vibrations of a suspended cable , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[4]  Feng Xing,et al.  Free vibration of taut cable with a damper and a spring , 2014 .

[6]  Billie F. Spencer,et al.  Experimental Study on Passive Negative Stiffness Damper for Cable Vibration Mitigation , 2017 .

[7]  Felix Weber,et al.  Semi-active damping with negative stiffness for multi-mode cable vibration mitigation: approximate collocated control solution , 2015 .

[8]  Lin Chen,et al.  Cable with discrete negative stiffness device and viscous damper: passive realization and general characteristics , 2015 .

[9]  Lin Chen,et al.  Cables interconnected with tuned inerter damper for vibration mitigation , 2017 .

[10]  Bing Han,et al.  Free Vibration and Damping of a Taut Cable with an Attached Viscous Mass Damper , 2018 .

[11]  Yl L. Xu,et al.  MITIGATION OF THREE-DIMENSIONAL VIBRATION OF INCLINED SAG CABLE USING DISCRETE OIL DAMPERS — I. FORMULATION , 1998 .

[12]  Akira Fukukita,et al.  Seismic response control using electromagnetic inertial mass dampers , 2014 .

[13]  Billie F. Spencer,et al.  Inertial mass damper for mitigating cable vibration , 2017 .

[14]  Min Liu,et al.  Negative stiffness characteristics of active and semi‐active control systems for stay cables , 2008 .

[15]  Billie F. Spencer,et al.  Semiactive Damping of Cables with Sag , 2003 .

[16]  Søren Nielsen,et al.  Vibrations of a shallow cable with a viscous damper , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[17]  Feng Xing,et al.  Damping of Full-Scale Stay Cable with Viscous Damper: Experiment and Analysis , 2014 .

[18]  Neda Darivandi,et al.  The design of an optimal viscous damper for a bridge stay cable using energy-based approach , 2010 .

[19]  Peng Zhou,et al.  Modeling and control performance of a negative stiffness damper for suppressing stay cable vibrations , 2016 .

[20]  Felix Weber,et al.  Amplitude and frequency independent cable damping of Sutong Bridge and Russky Bridge by magnetorheological dampers , 2015 .

[21]  Yi-Qing Ni,et al.  Neuro-control of cable vibration using semi-active magneto-rheological dampers , 2002 .

[22]  Songye Zhu,et al.  Dynamic characteristics of stay cables with inerter dampers , 2018, Journal of Sound and Vibration.

[23]  Erik A. Johnson,et al.  Experimental Verification of Smart Cable Damping , 2006 .

[24]  Hui Li,et al.  Non-model-based semi-active vibration suppression of stay cables using magneto-rheological fluid dampers , 2007 .

[25]  Y L Xu,et al.  Vibration of Inclined Sag Cables with Oil Dampers in Cable-Stayed Bridges , 1998 .

[26]  Hao Wang,et al.  Development of a Self-Powered Magnetorheological Damper System for Cable Vibration Control , 2018 .

[27]  Yi-Qing Ni,et al.  Cable Vibration Control using Magnetorheological Dampers , 2006 .

[28]  Kohju Ikago,et al.  Seismic control of single‐degree‐of‐freedom structure using tuned viscous mass damper , 2012 .

[29]  David J. Wagg,et al.  Vibration suppression of cables using tuned inerter dampers , 2016 .