Robustness of multi-mode control using tuned mass dampers for seismically excited structures

Robustness in multi-mode control of structures using tuned mass dampers (TMDs) is presented under seismic excitations. The robustness of the distributed multiple TMDs, i.e. d-MTMDs is compared with single TMD (STMD) and with multiple TMDs all installed at the top of the building (MTMDs-all.top). A 20-storey steel benchmark building subjected to earthquake ground motion is modeled, wherein stiffness and damping are considered with uncertainty in order to investigate the robustness of the STMD, MTMDs-all.top, and d-MTMDs. The d-MTMDs are distributed along the height of the building according to the mode shapes of the controlled and uncontrolled building. Monte-Carlo simulation is used to generate the uncertain stiffness and damping matrices of the 20-storey benchmark building. Parameters of the STMD, MTMDs-all.top, and d-MTMDs are optimized for each set of structural stiffness and damping matrices, and the probability distribution of the objective function is evaluated. The optimized parameters (mass ratio and damping ratio) are selected corresponding to the robust interval of the objective function calculated using the probability distribution. The results show that d-MTMDs perform satisfactorily even in the presence of the considered uncertainties and their performance is superior to that of the STMD and MTMDs-all.top in seismic response control of the structures.

[1]  Giuseppe Carlo Marano,et al.  Robust design of tuned mass dampers installed on multi-degree-of-freedom structures subjected to seismic action , 2015 .

[2]  Hong-Nan Li,et al.  Optimization of non-uniformly distributed multiple tuned mass damper , 2007 .

[3]  R. S. Jangid,et al.  Optimum parameters of multiple tuned mass dampers for base-excited damped systems , 1997 .

[4]  Vasant Matsagar,et al.  Wind Response Control of 76-Storey Benchmark Building with Distributed Multiple Tuned Mass Dampers , 2013 .

[5]  Yozo Fujino,et al.  Structural Health Monitoring and Intelligent Infrastructure , 2005 .

[6]  Maria Q. Feng,et al.  Vibration Control of Tall Buildings Using Mega Subconfiguration , 1995 .

[7]  Vasant Matsagar,et al.  Effectiveness of distributed tuned mass dampers for multi-mode control of chimney under earthquakes , 2016 .

[8]  Ilaria Venanzi,et al.  Robust optimal design of tuned mass dampers for tall buildings with uncertain parameters , 2015 .

[9]  K. Xu,et al.  Dynamic characteristics of multiple substructures with closely spaced frequencies , 1992 .

[10]  Kyoung Sun Moon,et al.  Vertically distributed multiple tuned mass dampers in tall buildings: performance analysis and preliminary design , 2009 .

[11]  Giuseppe Marano,et al.  Constrained reliability-based optimization of linear tuned mass dampers for seismic control , 2007 .

[12]  G. Marano,et al.  Optimization criteria for tuned mass dampers for structural vibration control under stochastic excitation , 2011 .

[13]  Fahim Sadek,et al.  A METHOD OF ESTIMATING THE PARAMETERS OF TUNED MASS DAMPERS FOR SEISMIC APPLICATIONS , 1997 .

[14]  Shirley J. Dyke,et al.  Next Generation Bench-mark Control Problems for Seismically Excited Buildings , 1999 .

[15]  Genda Chen,et al.  Experimental study on multiple tuned mass dampers to reduce seismic responses of a three‐storey building structure , 2003 .

[16]  Giuseppe Marano,et al.  A comparison between different optimization criteria for tuned mass dampers design , 2010 .

[17]  Alex Y. Tuan,et al.  Vibration Control in a 101-Storey Building Using a Tuned Mass Damper , 2014 .

[18]  Chunxiang Li,et al.  Optimum multiple tuned mass dampers for structures under the ground acceleration based on DDMF and ADMF , 2002 .

[19]  Michael I. Friswell,et al.  4th European Workshop on Structural Health Monitoring , 2008 .

[20]  Giuseppe Marano,et al.  Robust optimum design of tuned mass dampers devices in random vibrations mitigation , 2008 .

[21]  R. S. Jangid,et al.  Optimum parameters of tuned mass damper for damped main system , 2007 .

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

[23]  Vasant Matsagar,et al.  Distributed Multiple Tuned Mass Dampers for Wind Vibration Response Control of High-Rise Building , 2014 .

[24]  Chunxiang Li,et al.  Characteristics of linearly distributed parameter‐based multiple‐tuned mass dampers , 2008 .

[25]  Aly Mousaad Aly,et al.  Vibration control of high-rise buildings for wind: a robust passive and active tuned mass damper , 2014 .

[26]  Vasant Matsagar,et al.  Optimum Tuned Mass Damper for Wind and Earthquake Response Control of High-Rise Building , 2015 .

[27]  Roland Platz,et al.  Comparison of Uncertainty in Passive and Active Vibration Isolation , 2015 .

[28]  Chunxiang Li.  Performance of multiple tuned mass dampers for attenuating undesirable oscillations of structures under the ground acceleration , 2000 .

[29]  R. S. Jangid,et al.  OPTIMUM MULTIPLE TUNED MASS DAMPERS FOR BASE-EXCITED DAMPED MAIN SYSTEM , 2004 .

[30]  Chunxiang Li,et al.  Evaluation of the lever‐type active tuned mass damper for structures , 2004 .

[31]  Giuseppe Marano,et al.  Robust optimum design of tuned mass dampers for high-rise buildings under moderate earthquakes , 2009 .

[32]  Giuseppe Marano,et al.  A comparison between different robust optimum design approaches: Application to tuned mass dampers , 2010 .

[33]  Giorgio Monti,et al.  Robust Design of Tuned Mass Damper Systems for Seismic Protection of Multistory Buildings , 2014 .