Particle swarm optimization of tuned mass dampers

Tuned mass dampers (TMD) have been widely used to attenuate undesirable vibrations in engineering. Most optimization problems of TMD are solved by either numerical iteration technique or conventional mathematical methods that require substantial gradient information. The selection of the starting values is very important to ensure convergence. In this paper, we use a novel evolutionary algorithm of particle swarm optimization (PSO) for optimization of the required parameters of a TMD. Optimum parameters of the TMD system attached to a viscously damped single degree-of-freedom main system are obtained by minimizing some response quantities, for examples, the mean square displacement responses and displacement amplitude of the main system under various combinations of different kinds of excitations. The excitations considered include external force and base acceleration modeled as Gaussian white-noise random processes. Harmonic base acceleration with frequency invariant amplitude is also considered. The PSO can be used to find the optimum mass ratio, damper damping and tuning frequency of the TMD system and can be easily programmed for practical engineering applications. Explicit expressions of the optimum TMD parameters are given for engineering designers.

[1]  Satish Nagarajaiah,et al.  Short time Fourier transform algorithm for wind response control of buildings with variable stiffness TMD , 2005 .

[2]  Jun Wu,et al.  Performance enhancement of bridge infrastructure systems: Long-span bridge, moving trucks and wind with tuned mass dampers , 2008 .

[3]  B. J. Vickery,et al.  Design of tuned mass dampers incorporating wire rope springs: Part II: Simple design method , 2005 .

[4]  T. T. Soong,et al.  Recent structural applications of active control technology , 1994 .

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

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

[7]  Diego Lopez-Garcia,et al.  A bidirectional and homogeneous tuned mass damper: A new device for passive control of vibrations , 2007 .

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

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

[10]  H.-C. Tsai,et al.  Explicit Formulae For Optimum Absorber Parameters For Force-Excited And Viscously Damped Systems , 1994 .

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

[12]  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 .

[13]  V. A. Bapat,et al.  Effect of primary system damping on the optimum design of an untuned viscous dynamic vibration absorber , 1979 .

[14]  Ivanoe De Falco,et al.  Facing classification problems with Particle Swarm Optimization , 2007, Appl. Soft Comput..

[15]  Bijan Samali,et al.  Performance of a five-storey benchmark model using an active tuned mass damper and a fuzzy controller , 2003 .

[16]  Francesco Ricciardelli,et al.  Passive and active mass damper control of the response of tall buildings to wind gustiness , 2003 .

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

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

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

[20]  D.S. Weile,et al.  Application of a parallel particle swarm optimization scheme to the design of electromagnetic absorbers , 2005, IEEE Transactions on Antennas and Propagation.

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

[22]  Yozo Fujino,et al.  Optimal tuned mass damper for seismic applications and practical design formulas , 2008 .

[23]  Abdelwahab Zerarka,et al.  Energy spectra of the Schrödinger equation and the differential quadrature method: Improvement of the solution using particle swarm optimization , 2006, Appl. Math. Comput..

[24]  Ling Wang,et al.  An effective co-evolutionary particle swarm optimization for constrained engineering design problems , 2007, Eng. Appl. Artif. Intell..

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

[26]  T. T. Soong,et al.  Random Vibration of Mechanical and Structural Systems , 1992 .

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

[28]  A. G. Thompson.  Optimizing the untuned viscous dynamic vibration absorber with primary system damping: A frequency locus method , 1980 .

[29]  G. B. Warburton,et al.  Minimizing structural vibrations with absorbers , 1980 .

[30]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[31]  N. C. Nigam.  Introduction to Random Vibrations , 1983 .