Effectiveness of active multiple‐tuned mass dampers for asymmetric structures considering soil–structure interaction effects

SUMMARY Based on recent researches by Li et al. in 2009, the optimum parameter criterion of the AMTMD here is selected as minimizing the translational and torsional displacement mean square responses of the asymmetric structure with the AMTMD taking into account the SSI. The effectiveness criterion of the AMTMD is the ratio of the minimization of the translational and torsional displacement mean square responses of the asymmetric structure with the AMTMD to the translational and torsional displacement mean square responses of the asymmetric structure without the AMTMD considering the SSI. The investigations for the influences of the normalized eccentricity ratio (NER), torsional to translational frequency ratio (TTFR), relative stiffness of the soil to the structure (RSSS), and height-to-base ratio (HBR) of the soil-asymmetric structure interaction system are then carried out on both the effectiveness and robustness of the AMTMD. A new basic result is that when an asymmetric structure is built on soft soil sites, the SSI needs to be considered to determine the optimal parameters of the AMTMD to avoid overestimating or underestimating its effectiveness. Likewise, the robustness of the AMTMD for asymmetric structures is underestimated if the SSI effect is left out of consideration. Copyright © 2010 John Wiley & Sons, Ltd.

[1]  Ming Gu,et al.  Parametric study on multiple tuned mass dampers for buffeting control of Yangpu Bridge , 2001 .

[2]  Yozo Fujino,et al.  Design formulas for tuned mass dampers based on a perturbation technique , 1993 .

[3]  Sonia E. Ruiz,et al.  Influence of ground motion intensity on the effectiveness of tuned mass dampers , 1999 .

[4]  Chi-Chang Lin,et al.  Systematic assessment of irregular building-soil interaction using efficient modal analysis , 2001 .

[5]  R. S. Jangid.  Optimum Multiple Tuned Mass Dampers for base‐excited undamped system , 1999 .

[6]  Yoyong Arfiadi,et al.  Passive and active control of three-dimensional buildings , 2000 .

[7]  A. P. Pansare,et al.  Tuned mass dampers for torsionally coupled systems , 2003 .

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

[9]  T. T. Soong,et al.  STRUCTURAL CONTROL USING ACTIVE TUNED MASS DAMPERS , 1980 .

[10]  Henry T. Y. Yang,et al.  Simple ATMD Control Methodology for Tall Buildings Subject to Wind Loads , 1996 .

[11]  Menglin Lou,et al.  Seismic effectiveness of tuned mass dampers considering soil–structure interaction , 1999 .

[12]  Ahsan Kareem,et al.  Performance of Multiple Mass Dampers Under Random Loading , 1995 .

[13]  Tospol Pinkaew,et al.  Seismic effectiveness of tuned mass dampers for damage reduction of structures , 2003 .

[14]  Kenny C. S Kwok,et al.  Wind-induced response of soil-structure-damper systems , 1992 .

[15]  G. B. Warburton,et al.  Optimum absorber parameters for minimizing vibration response , 1981 .

[16]  Alessandro De Stefano,et al.  Seismic performance of pendulum and translational roof-garden TMDs , 2009 .

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

[18]  Chunxiang Li,et al.  Estimation of active multiple tuned mass dampers for asymmetric structures , 2008 .

[19]  Bijan Samali,et al.  Control of wind-induced tall building vibration by tuned mass dampers , 1992 .

[20]  Kenny C. S Kwok,et al.  Semianalytical Method for Parametric Study of Tuned Mass Dampers , 1994 .

[21]  Billie F. Spencer,et al.  A new passive rolling‐pendulum vibration absorber using a non‐axial‐symmetrical guide to achieve bidirectional tuning , 2009 .

[22]  Weilian Qu,et al.  Optimum properties of multiple tuned mass dampers for reduction of translational and torsional response of structures subject to ground acceleration , 2006 .

[23]  Thambirajah Balendra,et al.  Optimal Damper Characteristics of ATMD for Buildings under wind Loads , 1999 .

[24]  Hsiang-Chuan Tsai,et al.  Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems , 1993 .

[25]  P. Lukkunaprasit,et al.  Inelastic buildings with tuned mass dampers under moderate ground motions from distant earthquakes , 2001 .

[26]  Mahendra P. Singh,et al.  Tuned mass dampers for response control of torsional buildings , 2002 .

[27]  Haijun Zhang,et al.  Particle swarm optimization of TMD by non‐stationary base excitation during earthquake , 2008 .

[28]  Henry T.Y. Yang,et al.  CONTROL OF BUILDINGS USING ACTIVE TUNED MASS DAMPERS , 1995 .

[29]  Dorothy Reed,et al.  Analysis of uniformly and linearly distributed mass dampers under harmonic and earthquake excitation , 2001 .

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

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

[32]  Chunxiang Li,et al.  Active multiple tuned mass dampers for structures under the ground acceleration , 2002 .

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

[34]  Alessandro De Stefano,et al.  Robust design of mass-uncertain rolling-pendulum TMDs for the seismic protection of buildings , 2009 .

[35]  Seyed Mehdi Zahrai,et al.  Effectiveness‐robustness objectives in MTMD system design: An evolutionary optimal design methodology , 2010 .

[36]  Yuh-Yi Lin,et al.  A tuned mass damper for suppressing the coupled flexural and torsional buffeting response of long-span bridges , 2000 .

[37]  Chi-Chang Lin,et al.  Train-Induced Vibration Control of High-Speed Railway Bridges Equipped with Multiple Tuned Mass Dampers , 2005 .

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

[39]  G. B. Warburton,et al.  Optimum absorber parameters for simple systems , 1980 .

[40]  T. T. Soong,et al.  Parametric study and simplified design of tuned mass dampers , 1998 .

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

[42]  Nam Hoang,et al.  Design of multiple tuned mass dampers by using a numerical optimizer , 2005 .

[43]  Roberto Villaverde,et al.  Reduction seismic response with heavily-damped vibration absorbers , 1985 .

[44]  Kwan-Soon Park,et al.  Suppression of bridge flutter using tuned mass dampers based on robust performance design , 2004 .

[45]  Yen-Po Wang,et al.  Optimal design theories and applications of tuned mass dampers , 2006 .

[46]  T. G. Tsicnias,et al.  Soil‐structure interaction effects on the steady‐state response of torsionally coupled buildings , 1984 .

[47]  Ming Gu,et al.  Optimization of TMD for suppressing buffeting response of long-span bridges , 1992 .

[48]  T. K. Datta,et al.  PERFORMANCE OF MULTIPLE TUNED MASS DAMPERS FOR TORSIONALLY COUPLED SYSTEM , 1997 .

[49]  Chi-Chang Lin,et al.  Seismic performance of multiple tuned mass dampers for soil–irregular building interaction systems ☆ , 2005 .

[50]  B. Basu,et al.  Effect of soil interaction on the performance of tuned mass dampers for seismic applications , 2004 .

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

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

[53]  Ananth Ramaswamy,et al.  Multiobjective optimal absorber system for torsionally coupled seismically excited structures , 2003 .

[54]  Y. Fujino,et al.  Dynamic characterization of multiple tuned mass dampers and some design formulas , 1994 .