Simple ATMD Control Methodology for Tall Buildings Subject to Wind Loads
Publication: Journal of Structural Engineering
Volume 122, Issue 1
Abstract
A procedure for the design of an active tuned mass damper for vibration control in tall buildings subject to wind loads is presented. The building motions are modeled by the first mode of the response, and it is assumed that the excitation is white noise. The controller is based on complete feedback (namely, feedback of displacement, velocity, and acceleration). The controller gains that minimize the variance of the rooftop displacement are derived in closed-form. Two examples, one of a 162 m tall planar frame and the other of a 400 m tall building in a city are studied to illustrate the active damper design and to evaluate the procedure and the results. The same examples are then studied as multiple-degree-of-freedom systems subject to nonwhite excitation that better simulates the wind. Results on the reduction of the dynamic response and control effectiveness of the active damper designs are presented and discussed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abdel-Rohman, M.(1982). “Active control of large structures.”J. Engrg. Mech., ASCE, 108(5), 719–730.
2.
Abdel-Rohman, M.(1984a). “Effectiveness of active TMD for building's control.”Build. and Envir., 8(4), 179–184.
3.
Abdel-Rohman, M.(1984b). “Optimal design of active TMD for buildings control.”Build. and Envir., 19(3), 191–195.
4.
Ayorinde, E. O., and Warburton, G. B.(1980). “Minimizing structural vibrations with absorbers.”Earthquake Engrg. and Struct. Dynamics, 8, 219–236.
5.
Chang, C. (1993). “Hybrid control of civil structures,” PhD thesis, Purdue University, West Lafayette, Ind.
6.
Chang, F.-K.(1973). “Human response to motions in tall buildings.”J. Struct. Div., ASCE, 99(6), 1259–1272.
7.
Chang, J. C. H., and Soong, T. T.(1980). “Structural control using active tuned mass dampers.”J. Engr. Mech., ASCE, 106(6), 1091–1098.
8.
Crandall, S. H., and Mark, W. D. (1963). Random vibration in mechanical systems . Academic Press, New York, N.Y.
9.
Fur, L.-S. (1994). “Vibration control of flexible structures,” PhD thesis, Purdue University, West Lafayette, Ind.
10.
Hansen, R. J., Reed, J. W., and Vanmarcke, E. H.(1973). “Human response to wind-induced motion of buildings.”J. Struct. Div., ASCE, 99(7), 1589–1605.
11.
Kareem, A.(1983). “Mitigation of wind induced motion of tall buildings.”J. Wind Engr. and Industrial Aerodynamics, 11, 273–284.
12.
Kihara, H., Kunitsu, H., and Asami, Y. (1993). “Structural design and wind resistance of Fukuoka Tower with T. M. D.”Proc., Struct. Cong. 1993—Struct. Engrg. in Natural Hazard Mitigation, ASCE, New York, N.Y., 646–651.
13.
Kwakernaak, H., and Sivan, R. (1972). Linear optimal control systems . Wiley Interscience, New York, N.Y.
14.
McNamara, R. J.(1977). “Tuned mass dampers for buildings.”J. Struct. Div., ASCE, 103(9), 100–200.
15.
Meirovitch, L. (1980). Computational methods in structural dynamics, Sijthoff & Noordhoff, Rockville, Md.
16.
Nagase, T., Hisatoku, T., and Yamazaki, S. (1993). “Wind resistant design and response control of tall building.”Proc., Struct. Cong. 1993—Struct. Engrg. in Natural Hazard Mitigation, ASCE, New York, N.Y., 532–537.
17.
Ogata, K. (1990). Modern control engineering, Prentice Hall, Englewood Cliffs, N.J.
18.
Petersen, N. (1979). “Design of large scale tuned mass dampers.”Proc., IUTAM Symp. on Struct. Control, Univ. of Waterloo, Ontario, Canada, 581–596.
19.
Sacks, M. P., and Swallow, J. C. (1993). “Tuned mass dampers for towers and buildings.”Proc., Struct. Cong. 1993—Struct. Engrg. in Natural Hazard Mitigation, ASCE, New York, N.Y., 640–645.
20.
Saul, W. E., Jayachandran, P., and Peyrot, A. H.(1976). “Response to stochastic wind of N-degree tall buildings.”J. Struct. Div., ASCE, 102(5), 1059–1075.
21.
Simiu, E., and Scanlan, R. H. (1978). Wind effects on structures: An introduction to wind engineering, John Wiley, New York, N.Y.
22.
Soong, T. T., and Mircea, G. (1993). Random vibration of mechanical and structural systems . PTR Prentice Hall, Englewood Cliffs, N.J.
23.
Yang, J. N.(1975). “Application of optimal control theory to civil engineering structures.”J. Engrg. Mech., ASCE, 101(6), 819–838.
Information & Authors
Information
Published In
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jan 1, 1996
Published in print: Jan 1996
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.