An optimum design methodology of active tuned mass damper for asymmetric structures

Abstract The application of active tuned mass damper (ATMD) for the reduction of both the translational and torsional responses is discussed in the present paper to a two-degree-of-freedom (2DOF) torsionally coupled system (structure), able to represent the dynamic characteristics of the idealized one-storey asymmetric building consisting of a diaphragm (slab) supported by structural elements, such as frames or walls, in each of the two orthogonal directions, i.e. general asymmetric structures. Depending on the ratio of the torsional to the translational eigenfrequency, i.e. the torsional to translational frequency ratio (TTFR), of asymmetric structures, the following three scenarios can be distinguished: (1) torsionally flexible structures (TTFR 1.0). Taking into account the optimum position of the ATMD within the width of the asymmetric structure, a careful examination of the effects of the normalized eccentricity ratio (NER) on the performance of the ATMD is carried out by resorting to both the translational and the torsional displacement variances of the asymmetric structure. Extensive numerical simulations have been performed to accurately estimate the dynamic characteristics of the ATMD for asymmetric structures subject to ground acceleration. In the numerical simulations, the optimum parameter criterion of the ATMD is defined as the minimization of the minimum translational and torsional displacement variances of the asymmetric structure with the ATMD. Evaluation criterion on the effectiveness of the ATMD is selected as the ratio of the minimization of the minimum translational and torsional displacement variances of the asymmetric structure with the ATMD to the translational and torsional displacement variances of the asymmetric structure without the ATMD. Based on the four criteria above defined, the influences of both the NER and the TTFR of asymmetric structures are investigated on the optimum parameters and effectiveness of the ATMD.

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

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

[3]  Ichiro Nagashima,et al.  Optimal displacement feedback control law for active tuned mass damper , 2001 .

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

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

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

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

[8]  Chi-Chang Lin,et al.  Seismic response reduction of irregular buildings using passive tuned mass dampers , 2000 .

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

[10]  Nurkan Yağiz.  Sliding Mode Control of a Multi-Degree-of-Freedom Structural System With Active Tuned Mass Damper , 2001 .

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

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

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

[14]  Chunxiang Li,et al.  GROUND MOTION DOMINANT FREQUENCY EFFECT ON THE DESIGN OF MULTIPLE TUNED MASS DAMPERS , 2004 .

[15]  Jann N. Yang,et al.  Reduced-order H∞ and LQR control for wind-excited tall buildings , 1998 .

[16]  P. Spanos.  Spectral Moments Calculation of Linear System Output , 1983 .

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

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

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

[20]  R. S. Jangid.  DYNAMIC CHARACTERISTICS OF STRUCTURES WITH MULTIPLE TUNED MASS DAMPERS , 1995 .

[21]  S. Pourzeynali,et al.  Active control of high rise building structures using fuzzy logic and genetic algorithms , 2007 .

[22]  Chunxiang Li,et al.  FURTHER CHARACTERISTICS FOR MULTIPLE TUNED MASS DAMPERS , 2002 .

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

[24]  M. Abé.  Rule-Based Control Algorithm for Active Tuned Mass Dampers , 1996 .

[25]  Masato Abe,et al.  Tuned mass dampers for structures with closely spaced natural frequencies , 1995 .

[26]  Mohamed Abdel-Rohman,et al.  Optimal design of active TMD for buildings control , 1984 .

[27]  Rahmi Guclu,et al.  Self-tuning fuzzy logic control of a non-linear structural system with ATMD against earthquake , 2009 .

[28]  Rahmi Guclu,et al.  Vibration control of a structure with ATMD against earthquake using fuzzy logic controllers , 2008 .

[29]  Yutaka Inoue,et al.  Overview of the application of active/semiactive control to building structures in Japan , 2001 .

[30]  Chunxiang Li,et al.  Optimum multiple tuned mass dampers for structures under the ground acceleration based on the uniform distribution of system parameters , 2003 .

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

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

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

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

[35]  Ananth Ramaswamy,et al.  Multiobjective optimal FLC driven hybrid mass damper system for torsionally coupled, seismically excited structures , 2002 .

[36]  Biswajit Basu,et al.  Control strategy using bang–bang and minimax principle for FRF with ATMDs , 2006 .

[37]  Yoshiki Ikeda.  Effect of weighting a stroke of an active mass damper in the linear quadratic regulator problem , 1997 .

[38]  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 .

[39]  Rahmi Guclu,et al.  Evaluation of Sliding Mode and Proportional-Integral-Derivative Controlled Structures with an Active Mass Damper , 2005 .

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

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

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