Structures with Semiactive Variable Stiffness Single/Multiple Tuned Mass Dampers
Publication: Journal of Structural Engineering
Volume 133, Issue 1
Abstract
This paper proposes application of single and multiple semiactive variable stiffness tuned mass dampers (STMD/SMTMD) for response control of multistory structures under several types of excitation. A new semiactive control algorithm is developed based on real-time frequency tracking of excitation signal by short time Fourier transform. A parametric study is performed in the frequency domain to investigate the dynamic characteristics and effectiveness of STMDs. Time history responses of single-degree-of-freedom and five-degree-of-freedom structures equipped with STMDs at the roof level, subjected to harmonic, stationary, and nonstationary excitations are presented. STMD/SMTMD are most effective when they have low damping ratios and the excitation frequency can be tracked. They are superior than their passive counterparts in reducing the response of the main structure both under force and base excitations. In case the fundamental frequency changes due to damage or deterioration of the main structure then the TMD will be off-tune; hence, it will lose its effectiveness significantly, whereas, the STMD is robust against such changes as it is always tuned to the excitation frequency.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers would like to acknowledge the funding for this research provided by National Science Foundation CAREER Grant No. NSFCMS 9996290.
References
Abe, M. (1996). “Semi-active tuned mass dampers for seismic protection of civil structures.” Earthquake Eng. Struct. Dyn., 25(7), 743–749.
Abe, M., and Fujino, Y. (1994). “Dynamic characterization of multiple tuned mass dampers and some design formulas.” Earthquake Eng. Struct. Dyn., 23(8), 813–835.
Abe, M., and Igusa, T. (1995). “Tuned mass dampers for structures with closely spaced natural frequencies.” Earthquake Eng. Struct. Dyn., 24(2), 247–261.
Abe, M., and Igusa, T. (1996). “Semi-active dynamic vibration absorbers for controlling transient response.” J. Sound Vib., 198(25), 547–569.
Bobrow, J., Jabbari, F., and Thai, K. (2000). “A new approach to shock isolation and vibration suppression using a resetable actuator.” J. Dyn. Syst., Meas., Control, 122(3), 570–573.
Cohen, L. (1995). Time-frequency analysis, Prentice-Hall, Englewood Cliffs, N.J.
Den Hartog, J. P. (1985). Mechanical vibrations, Dover, New York.
Hrovat, D., Barak, P., and Rabins, M. (1983). “Semi-active versus passive or active tuned mass dampers for structural control.” J. Eng. Mech., 109(3), 691–705.
Igusa, T., and Xu, K. (1994). “Vibration control using multiple tuned mass dampers.” J. Sound Vib., 175(4), 491–503.
Kareem, A., and Kline, S. (1995). “Performance of multiple mass dampers under random loading.” J. Struct. Eng., 121(2), 348–361.
Kaynia, A. M., Biggs, J. M., and Veneziano, D. (1981). “Seismic effectiveness of tuned mass dampers.” J. Struct. Div., 107(8), 1465–1484.
Kobori, T., and Takahashi, M. (1993). “Seismic response controlled structure with active variable stiffness system.” Earthquake Eng. Struct. Dyn., 22(12), 925–941.
McNamara, R. J. (1977). “Tuned mass dampers for buildings.” J. Struct. Div., 103(9), 1785–1798.
Nagarajaiah, S., and Mate, D. (1998). “Semiactive control of continuously variable stiffness system.” Proc., 2nd World Conf. Struct. Control, Vol. 1, Kyoto, Japan, 397–405.
Nagarajaiah, S., and Varadarajan, N. (2000). “Novel semiactive variable stiffness tuned mass damper with real time tuning capacity.” Proc., 13th Engineering Mechanics Conf. (CD-ROM), ASCE, Reston, Va.
Nagarajaiah, S., and Varadarajan, N. (2005). “Short time Fourier transform algorithm for wind response control of buildings with variable stiffness tmd.” Eng. Struct., 27(3), 431–441.
Nagarajaiah, S., Varadarajan, N., and Sahasrabudhe, S. (1999). “Variable stiffness and instantaneous frequency.” Proc., World Structures Congress, ASCE, Reston, Va., 858–861.
Sladek, J. R., and Klingner, R. E. (1983). “Effect of tuned-mass dampers on seismic response.” J. Struct. Eng., 109(8), 2004–2009.
Spencer, B. F., and Nagarajaiah, S. (2003). “State-of-the-art of structural control.” J. Struct. Eng., 129(7), 845–856.
Sun, J. Q., Jolly, M. R., and Norris, M. A. (1995). “Passive, adaptive, and active tuned vibration absorber—A survey.” Trans. ASME, 117, 234–242.
Varadarajan, N., and Nagarajaiah, S. (2004). “Wind response control of building with variable stiffness tuned mass damper using empirical mode decomposition/hilbert transform.” J. Eng. Mech., 130(4), 451–458.
Warburton, G. B. (1981). “Optimum absorber parameters for minimizing vibration response.” Earthquake Eng. Struct. Dyn., 9(3), 251–262.
Xu, K., and Igusa, T. (1992). “Dynamic characteristics of multiple substructures with closely spaced frequencies.” Earthquake Eng. Struct. Dyn., 21(12), 1059–1070.
Yamaguchi, H., and Harnpornchai, N. (1983). “Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillations.” Earthquake Eng. Struct. Dyn., 22(1), 51–62.
Yang, J. N., Kim, J. H., and Agrawal, A. K. (2000). “Resetting semiactive stiffness damper for seismic response control.” J. Struct. Eng., 126(12), 1427–1433.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 1 • January 2007
Pages: 67 - 77
Copyright
© 2007 ASCE.
History
Received: Dec 22, 2004
Accepted: May 6, 2005
Published online: Jan 1, 2007
Published in print: Jan 2007
Notes
Note. Associate Editor: Gregory A. MacRae
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.