LQG Control of Along-Wind Responses of Tall Building Using Composite Tuned Mass Dampers

Abstract:

A composite tuned mass damper(CTMD) is a vibration control device consisting of an active-passive tuned mass dampers supported on the primary vibrating structure. The performance of CTMD in mitigating wind-induced vibration of tall building is investigated. Optimum parameters of a passive tuned mass damper(PTMD)for minimizing the variance response of the damped primary structure under random loads, with different mass ratio of an active tuned mass damper(ATMD) to a PTMD have been used for the optimum parameters of CTMD. The active control force generated by ATMD actuator was estimated by using linear quadratic Gaussian(LQG) controller, and the fluctuating along-wind load, treated as a stationary random process ,was simulated numerically using the along-wind load spectrum proposed by Solari .Comparing the along-wind rms response of tall building without a CTMD, the CTMD is effective in reducing the response to 40%~45% of the response without the CTMD. Therefore, the CTMD system was effective in reducing wind-induced vibration of tall building.

• Periodical: Key Engineering Materials (Volume 723)
• Pages: 753-759
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.723.753
• Online since: December 2016
• Authors: Young Moon Kim*, Ki Pyo You, Jang Youl You, Sun Young Paek, Byung Hee Nam
• Keywords: Along-Wind Responses, CTMD, LQG Control, Tall Building

References

[1] C. W. Wang, N. Yan, T. Balendra, Control on dynamic structural response using active-passive composite-tuned mass dampers, J. Vib. Contr. 5 (1999) 475-489.

DOI: 10.1177/107754639900500308

[2] V. B. Patil, R. S. Jangid. Optimum multiple tuned mass damper for the wind excited benchmark building, J. Civil Eng. Manag. 17(4) (2011) 540-557.

DOI: 10.3846/13923730.2011.619325

[3] H. Frahm, Device for damped vibration of bodies. U.S. Patent No. 989958. (1909).

[4] J. P. D. Hartog, Mechanical Vibration, 4th ed., McGraw-Hill, New York, (1956).

[5] E. O. Ayoringde, G. B. Warburton, Minimizing structural vibrations with absorbers, Earthq. Eng. Struct. Dyn. 8 (1980) 219-236.

[6] S. Krenk, J. Hogsberg, Tuned mass damped structures under random load, Probabilist. Eng. Mech. 23 (2008) 408-415.

DOI: 10.1016/j.probengmech.2007.04.004

[7] R. J. McNamara, Tuned mass dampers for buildings, J. Struct. Div. 103 (1977) 1785-1798.

DOI: 10.1061/jsdeag.0004721

[8] G. W. Housner, L. A. Bergman, T. K. Caughey, A. G. Chassiakos, R. O. Claus, S. F. Masri, R. E. Skelton, T. T. Soong, B. F. Spencer, J. T. P. Yao, Structural control: past, present, and future, J. Eng. Mech. (ASCE), 123(9) (1997) 897-971.

DOI: 10.1061/(asce)0733-9399(1997)123:9(897)

[9] I. Nishimra, T. Yamada, M. Sakamoto, T. Kobori, Control performance of active-passive composite tuned mass damper, J. Smart Mater. Struct. 7(5) (1998) 637-753.

DOI: 10.1088/0964-1726/7/5/008

[10] G. Solari, Gust buffeting, J. Struct. Eng. ASCE, 119(2) (1993) 383-398.

[11] A. Kareem, S. Kline, Performance of multiple mass dampers under random loading, J. Struct. Eng. ASCE, 121(2) (1995) 348-361.

DOI: 10.1061/(asce)0733-9445(1995)121:2(348)

[12] P. Dorato, C. Abdallah, V. Cerone, Linear-Quadratic Control, Prentice Hall, New Jersey, (1995).

[13] F. L. Lewis, D. L. Vrabie, V. L. Syrmos, Optimal Control, third ed., John Wiley & Sons, (2012).

[14] J. Suhardjo, B. F. Spencer, A. Kareem, Active Control of Wind-Excited Buildings: A Frequency Domain Based Design Approach, J. Wind Eng. Ind. Aerodyn. 41-44 (1992) 1985-(1996).

DOI: 10.1016/0167-6105(92)90622-h

[15] M. Shinozuka, Stochastic fields and their digital simulation, edited by Schueller, G.I. & Shinozuka, M. Martinus Nijhoff Publishers, Stochastic Methods in Structural Dynamics: 93-133, (1987).

DOI: 10.1007/978-94-009-3681-2_3