TECHNICAL PAPERS
Sep 1, 2001

Optimal Placement of Multiple Tune Mass Dampers for Seismic Structures

Publication: Journal of Structural Engineering
Volume 127, Issue 9

Abstract

Effects of a tuned mass damper on the modal responses of a six-story building structure are studied first to demonstrate the damper's ineffectiveness in seismic applications. Multistage and multimode tuned mass dampers are then introduced. Several optimal location indices are defined based on intuitive reasoning, and a sequential procedure is proposed for practical design and placement of the dampers in seismically excited building structures. The proposed procedure is applied to place the dampers on the floors of the six-story building for maximum reduction of the accelerations under a stochastic seismic load and 13 earthquake records. Numerical results show that the multiple dampers can effectively reduce the acceleration of the uncontrolled structure by 10–25% more than a single damper. Time-history analyses indicate that the multiple dampers weighing 3% of total structural weight can reduce the floor acceleration up to 40%. The multiple dampers can even suppress the peak of acceleration responses due to impulsive excitations, which a single damper of equal mass cannot achieve.

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References

1.
Abe, M., and Fujino, M. ( 1994). “Dynamic characterization of multiple tuned mass dampers and some design formulas.” Earthquake Engrg. and Struct. Dynamics, 23(8), 813–835.
2.
Abe, M., and Igusa, T. ( 1995). “Tuned mass dampers for structures with closely spaced natural frequencies.” Earthquake Engrg. and Struct. Dynamics, 24(2), 247–261.
3.
Ashour, S. A., and Hudson, R. D. ( 1987). “Elastic response of buildings with supplemental damping.” Rep. No. UMCE 87-1, Dept. Civ. Engrg., University of Michigan, Ann Arbor, Mich.
4.
Chang, M. I. J., and Soong, T. T. ( 1980). “Optimal controller placement in modal control of complex systems.” J. Math. Ana. Appl., 75(2), 340–358.
5.
Chen, G. ( 1996). “Multi-stage tuned mass dampers.” Proc., 11th World Conf. Earthquake Engrg., Elsevier Science, Amsterdam.
6.
Cheng, F. Y., and Pantelides, C. P. ( 1988). “Optimal placement of actuators for structural control.” Tech. Rep. No. NCEER-88-0037, Nat. Ctr. for Earthquake Engrg. Res., State University of New York at Buffalo, Buffalo.
7.
Chowdhury, A. H., and Iwuchukwu, M. D. ( 1987). “The past and future of seismic effectiveness of tuned mass dampers.” Proc., 2nd Int. Symp. Struct. Control, H. H. E. Leipholz, ed., Martinus Nijhoff Publishers, The Hague, The Netherlands, 105–127.
8.
Clark, A. J. ( 1988). “Multiple passive tuned mass dampers for reducing earthquake induced building motion.” Proc., 9th World Conf. Earthquake Engrg., Vol. V, 779–784.
9.
Igusa, T., and Xu, K. ( 1994). “Vibration control using multiple tuned mass dampers.” Sound and Vibration, 175(4), 491–503.
10.
Kareem, A., and Kline, S. (1995). “Performance of multiple mass dampers under random loading.”J. Struct. Engrg., ASCE, 121(2), 348–361.
11.
Kasalanati, A., and Constantinou, M. C. ( 1999). “Experimental study of bridge elastomeric and other isolation and energy dissipation systems with emphasis on uplift prevention and high velocity near-source seismic excitation.” Tech. Rep. No. MCEER-99-0004, Multidisciplinary Ctr. for Earthquake Engrg. Res., State University of New York at Buffalo, Buffalo.
12.
Luft, R. W. (1979). “Optimal tuned mass dampers for buildings.”J. Struct. Div., ASCE, 105(12), 2766–2772.
13.
McNamara, R. J. (1977). “Tuned mass dampers for buildings.”J. Struct. Div., ASCE, 103(9), 1785–1798.
14.
Warburton, G. B. ( 1982). “Optimum absorber parameters for various combinations of response and excitation parameters.” Earthquake Engrg. and Struct. Dynamics, 10(3), 381–401.
15.
Wirsching, P. H., and Campbell, G. C. ( 1974). “Minimal structural response under random excitation using the vibration absorber.” Earthquake Engrg. and Struct. Dynamics, 2(4), 303–312.
16.
Xu, K., and Igusa, T. ( 1992). “Dynamic characteristics of multiple substructures with closely-spaced frequencies.” Earthquake Engrg. and Struct. Dynamics, 21(12), 1059–1070.
17.
Zhang, R. ( 1990). “Structural response control by additive viscoelastic dampers.” PhD dissertation, State University of New York at Buffalo, Buffalo.

Information & Authors

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 127Issue 9September 2001
Pages: 1054 - 1062

History

Received: Sep 1, 1999
Published online: Sep 1, 2001
Published in print: Sep 2001

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Member, ASCE
Student Member, ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Missouri-Rolla, 307 Butler-Carlton Hall, Rolla, MO 65409-0030.
PhD Candidate, Dept. of Civ. Engrg., Univ. of Missouri-Rolla, 111 Butler-Carlton Hall, Rolla, MO 65409-0030.

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