Optimal Placement of Passive Dampers on Seismic and Wind-Excited Buildings using Combinatorial Optimization

Abstract

The performance of energy dissipative systems for the response reduction of complex civil engineering structures depends on their locations in the structure. In this paper, the optimal locations of energy dissipative systems have been investigated using combinatorial optimization based integer heuristic programming techniques. Three intelligent search algorithms, namely, sequential, Worst-Out-Best-In (WOBI) and Exhaustive Single Point Substitution (ESPS) search methods, have been used to determine optimal locations for different types of objective functions. The applications of the proposed approach for the determination of optimal locations have been demonstrated for three seismic-excited buildings and one wind-excited building. It is shown that the optimal locations obtained by minimizing the peak interstory drift of buildings depend on the specific design earthquake. The WOBI and ESPS methods have been found to be quite effective in improving the locations obtained by the sequential search method.

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References

Agrawal, A. K. (1997), Optimal Placement and Innovative Design of Energy Dissipation Systems For Civil Engineering Structures, Ph.D. Dissertation, Dept. of Civil Engrg., Univ. of California, Irvine, CA 92697.

Ashour, S. A. and Hanson, R. D. (1987), Elastic Seismic Response of Buildings with Supplemental Damping, Report No. UMCE 871, Department of Civil Engineering, The University of Michigan.

Ashour S. A. (1991), "Rational Equivalent Linear Model for Simple Yielding Systems," Arabian Journal For Science and Engineering, Vol. 16, No. 2A, pp. 127-139.

Ashour, S. A. and Hanson, R. D. (1994), "Effect of Added Dampers on the Seismic Response of Multi-Story Buildings," Arabian Journal for Science and Engineering, Vol. 19, No. 3, pp. 389-402.

Chen, G. -S. , Robin, J. B. and Salama, M. (1991), "Optimal Placement of Active/Passive Members in Truss Structures Using Simulated Annealing," AIAA Journal, Vol. 29(8), pp. 1327-1334.

Doyle, J. C. , Glover, K. , Khergonekar, D. P. and Francis, B. S. (1989). "State-space Solutions to Standard H2 and H_. Control Problems," IEEE Transaction on Automatic Control, Vol. 34, No. 8, pp. 831-847.

Glover, F. (1989), "Tabu Search, Part I," ORSA Journal of Computing, Vol. l,pp. 190-206.

Glover, F. (1990), "Tabu Search, Part II," ORSA Journal of Computing, Vol. 2,pp.4-32.

Haftka, R. T. and Adelman, H. M. (1985), "Selection of actuator locations for static shape control of large space structures by heuristic integer programming." Computers and Structures, 20 (1-3), 578-582.

10.

Johnson, D. S. , Aragon, C. R. , McGeoch, L. A. and Schevon, C. (1990), "Optimization by Simulated Annealing: An Experimental Evaluation. Part I, Graph Partitioning," Operations Research, Vol. (37), pp. 865-893.

11.

Kincaid, R. K. (1992), "Good Solutions to Discrete Noxious Location Problems Via Metaheuristics," Annals of Operations Research, Vol. 40, pp. 265-281.

12.

Kincaid, R. K. (1993), "Minimizing Distortion in Truss Structures: A Coiparison of Simulated Annealing and Tabu Search," Structural Optimization, Vol. 5, pp. 217-224.

13.

Kincaid, R. K. (1995), Solving the Damper Placement Problem Via Local Search Heuristic. OR Spektrum, 17, 149-158.

14.

Kirkpatrick, S. , Gelatt, C. and Vecchi, M. (1983), "Optimization by Simulated Annealing," Science, Vol. 220(4598), pp. 671-680.

15.

Lee, I. and Han, J. -H. (1996), "Optimal placement of piezoelectric actuators in intelligent structures using genetic algorithms," Proceedings of the SPIE-The International Societyfor Optical Engineering, 1996, Vol. 2779, pp. 872-875.

16.

Levine, W. S. and Athans, M., (1970) "On the Determination of the Optimal Constant Output Feedback Gains for Linear Multivariable Systems," IEEE Trans. Automatic Control, Vol. Ac-15, PP. 44-48, 1970.

17.

Milman, M. H. and Cheng-Chih Chu (1994), "Optimization methods for passive damper placement and tuning," Journal of Guidance, Control, and Dynamics, Vol. 17(4), pp. 848-856.

18.

Padula, S. and Sandridge, C. A. (1992), Passive/Active Strut Placement by Integer Programming, Working Paper, NASA-Langley Research Center, Mail Stop 246, Hampton, VA.

19.

Rao, S. S. , Pan, T. -S. and Venkayya, V. B. (1991), "Optimal placement of actuators in actively controlled structures using genetic algorithms," AIAA Journal, Vol. 29(6), pp. 942-943.

20.

Shing P. B. , Dixon, M. E. , Kermiche, N. , Su, R. et al. (1996), "Control of Building Vibrations with Active/Passive Devices," Earthquake Engineering & Structural Dynamics, Vol. 25(10), pp. 1019-1039.

21.

Soong, T. T. and Dargush, G. F. (1997). Passive Energy Dissipation Systems in Structural Engineering. John Wiley & Sons, Chichester, England.

22.

Vidyasagar, M. (1993). Nonlinear Systems Analysis. Prentice Hall, Englewood Cliffs, NJ.

23.

Wu, J. C. (1996). Active Control of Wind-Excited Structures. Ph.D. Dissertation, Department of Civil Engineering, University of California, Irvine, CA.

24.

Zhang, R. H. and Soong, T. T. (1992), Seismic Design of Viscoelastic Dampers for Structural Application. Journal of Structural Engineering, ASCE, 118(5), 1375-1392.