Optimal Damper Characteristics of ATMD for Buildings under Wind Loads
Publication: Journal of Structural Engineering
Volume 125, Issue 12
Abstract
Recently, Ankireddi and Yang derived analytical expressions for the damper characteristics and the controller feedback gain coefficients for the design of an active tuned mass damper system (ATMD) in reducing the first-mode response of buildings under wind loads. These expressions allow one to determine the optimal feedback gains that define the control force. The derivation is based on the simplifying assumption of white-noise excitation to represent the wind loads. This paper examines the accuracy of their expressions when applied to more sophisticated mathematical models for wind loadings. The Hrms norm control technique, in conjunction with the GRG algorithm, is used to obtain the optimal values of these damper characteristics and the controller feedback gain coefficients under both along-wind and across-wind excitations. The results furnished by Ankireddi and Yang expressions are then compared with the present results. For general application, the study covers a wide range of rectangular section buildings by considering representative buildings of very short to very tall ones. It was found that the expressions were reasonably accurate in the case of along-wind excitation. However, the expression for the damper frequency ratio has to be significantly modified for the case of across wind excitation. The final expressions given herein should be useful in giving the optimal feedback gains for the control force to be used in the design of ATMD system for vibration control of structures under along- and across-wind excitations.
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References
1.
Abadie, J. ( 1970). “Application of the GRG algorithm to optimal control problems.” Integer and nonlinear programming. North-Holland, Amsterdam.
2.
Ankireddi, S., and Yang, H. T. Y. (1996). “Simple ATMD control methodology for tall buildings subject to wind loads.”J. Struct. Engrg., ASCE, 22(1), 83–91.
3.
Balendra, T., Wang, C. M., and Cheong, H. F. (1995). “Effectiveness of tuned liquid column dampers for vibration control of towers.” Engrg. Struct., 17(9), 668–675.
4.
Balendra, T., Wang, C. M., and Rakesh, G. (1999). “Effectiveness of TLCD on various structural systems.” J. Engrg. Struct., 21(1), 291–305.
5.
Boyd, S. P., and Barratt, C. H. (1991). Linear controller design-limits of performance. Prentice-Hall, Englewood Cliffs, N.J.
6.
Chang, C. C., Hsu, C. T., and Swei, S. M. (1996). “Design of tuned liquid column dampers for vibration control of buildings.” 2nd Asian-Pacific Conf. on Computat. Mech., Seoul, Korea.
7.
Choi, H., and Kanda, J. (1993). “Proposed formulae for the power spectral densities of fluctuating lift and torque on rectangular 3-D cylinders.” J. Wind Engrg. and Indust. Aerodyn., 46–47, 507–516.
8.
Dyke, S. J., Spencer, B. F. Jr., Quast, P., Sain, M. K., Kaspari, D. C. Jr., and Soong, T. T. (1996). “Acceleration feedback control of MDOF structures.”J. Engrg. Mech., ASCE, 122(9), 907–917.
9.
Eillis, B. R. (1980). “An assessment of the accuracy of predicting the fundamental natural frequencies of buildings and the implications concerning the dynamic analysis of structures.” Proc., Inst. of Civ. Engrs., London, 763–776.
10.
Holmes, D. (1995). “Listing of installations.” Engrg. Struct., 17(9), 676–677.
11.
Kareem, A., and Kline, S. (1993). “Performance of multiple mass dampers under random loading.”J. Struct. Engrg., ASCE, 121(2), 348–361.
12.
Kareem, A., and Tamura, Y. (1994). “Damping systems for controlling wind induced motions of structures.” Proc., ASCE Struct. Congr. XII, American Society of Civil Engineers, New York.
13.
Lagomarsino, L. (1993). “Forecast models for damping and vibration periods of buildings.” J. Wind Engrg. and Indust. Aerodyn., 48, 221–239.
14.
Lasdon, L. S., and Waren, A. D. ( 1979). “Generalized reduced gradient software for linearly and nonlinearly constrained problems.” Design and implementation of optimization software, H. Greenberg, ed., Sijthoff and Noordhoff, Groningen, The Netherlands.
15.
Leipholz, H. H. E. (1985). Control of structures. Martinus Nijhoff, Amsterdam.
16.
Nishimura, I., et al. (1992). “Acceleration feedback method applied to active tuned mass damper.” Proc., 1st Euro. Conf. on Smart Struct. and Mat., Glasgow, U.K., 301–304.
17.
Smith, B. S., and Coull, A. (1992). Tall building structures. Wiley, New York.
18.
Spencer, B. F., Suhardjo, J., and Sain, M. K. (1994). “Frequency domain optimal control strategies for aseismic protection.”J. Engrg. Mech., ASCE, 120(1), 135–158.
19.
Suda, K., Satake, N., Ono, J., and Sasaki, A. (1996). “Damping properties of buildings in Japan.” J. Wind Engrg. and Indust. Aerodyn., 59, 383–392.
20.
Suhardjo, J., Spencer, B. F. Jr., and Kareem, A. (1992). “Active control of wind excited buildings: A frequency domain based design approach.” J. Wind Engrg. and Indust. Aerodyn., 41–44, 1985–1996.
21.
Wu, J. C., Yang, J. N., and Schmitendorf, W. E. (1998). “Reduced-order H infinity and LQR control for wind-excited tall buildings.” Engrg. Struct., 20(3), 222–236.
22.
Xu, Y. L. (1996). “Parametric study of active mass dampers for wind-excited tall buildings.” J. Engrg. Struct., 18(1), 64–76.
23.
Yan, N., Wang, C. M., and Balendra, T. (1998). “Composite mass dampers for vibration control of wind-excited towers.” J. Sound and Vibration, 213(2), 301–316.
24.
Yang, J. N., Wu, J. C., Agrawal, A. K., and Hsu, S. Y. (1997). “Sliding mode control with compensator for wind and seismic response control.” Earthquake Engrg. and Struct. Dyn., 26(11), 1137–1156.
25.
Yang, J. N., Wu, J. C., Samali, B., and Agrawal, A. K. (1998). “A benchmark problem for response control of wind-excited tall buildings.” Proc., 2nd World Conf. on Struct. Control, Kyoto, Japan.
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Received: Mar 2, 1999
Published online: Dec 1, 1999
Published in print: Dec 1999
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