Performance of Pendulum Tuned Mass Dampers in Reducing the Responses of Flexible Structures
Publication: Journal of Structural Engineering
Volume 139, Issue 12
Abstract
The primary objective of this paper is to study the dynamic responses of a flexible multiple degree-of-freedom structure coupled with the three-dimensional motions of a nonlinear pendulum tuned mass damper (PTMD). The three-dimensional motions consist of both planar and spherical motions of the PTMD. The optimal damper parameters obtained by using the three-dimensional model are compared with those predicted by models in which PTMD motion is linearized to the planar direction. The effect of and sensitivity to frequency and auxiliary damping detuning are considered for various levels of primary to auxiliary mass ratios. The performance of the PTMD is evaluated by using a finite element representation of an actual tower structure equipped with a PTMD, together with the responses obtained by using the high frequency base balance method from a boundary layer wind tunnel. The results are compared for linearized and three-dimensional PTMDs and the effect of directional coupling introduced by the nonlinear three-dimensional PTMD on the response estimates is studied by using the numerical model. Finally, a procedure is presented for conducting a condition assessment of existing PTMDs.
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Acknowledgments
The authors are grateful to the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Ontario Centres of Excellence (OCE) for providing the financial support to conduct this study. The authors also thank Greater Toronto Airports Authority (GTAA) and Rowan Williams Davies & Irwin Inc. (RWDI) who serve as the industrial partners in this collaborative project. Special thanks to Mr. Greg Thompson, Mr. Scott Gamble, and Dr. Peter Irwin of RWDI for providing valuable insights into the practical design aspects of TMDs.
References
Abe, M., and Fujino, Y. (1994). “Dynamic characterization of multiple tuned mass dampers and some design formulas.” Earthquake Eng. Struct. Dynam., 23(8), 813–835.
Bakre, S. V., and Jangid, R. S. (2007). “Optimum parameters of tuned mass damper for damped main system.” Struct. Control Health Monit., 14(3), 448–470.
Chen, X., and Kareem, A. (2005). “Coupled dynamic analysis and equivalent static wind loads on buildings with three-dimensional modes.” J. Struct. Eng., 131(7), 1071–1082.
den Hartog, D. B. (1956). Mechanical vibrations, 4th Ed., McGraw-Hill, New York.
Gerges, R. R., and Vickery, B. J. (2005). “Optimum design of pendulum-type tuned mass dampers.” Struct. Des. Tall Special Build., 14(4), 353–368.
Ghosh, A., and Basu, B. (2007). “A closed-form optimal tuning criterion for TMD in damped structures.” Struct. Control Health Monit., 14(4), 681–692.
Hazra, B. (2010). “Hybrid time and time-frequency blind source separation towards ambient system identification of structures.” Ph.D. thesis, Univ. of Waterloo, Waterloo, ON, Canada.
Holmes, J. D. (1987). “Mode shape corrections for dynamic response to wind.” Eng. Struct., 9(3), 210–212.
ISO. (1984). “Guidelines for the evaluation of the response of occupants of fixed structures, especially buildings and off-shore structures, to low-frequency horizontal motion (0.063 to 1 Hz).” ISO 6897, Geneva.
Ioi, T., and Ikeda, K. (1978). “On the dynamic vibration damped absorber of the vibration system.” Bull. JSME, 21(151), 64–71.
Kareem, A. (1992). “Dynamic response of high-rise buildings to stochastic wind loads.” J. Wind Eng. Ind. Aerod., 42(1–3), 1101–1112.
Kareem, A., and Kijewski, T. (1999). “Mitigation of motions of tall buildings with specific examples of recent applications.” Wind Struct., 2(3), 201–252.
Kwok, K., Hitchcock, P. A., and Burton, M. D. (2009). “Perception of vibration and occupant comfort in wind-excited tall buildings.” J. Wind Eng. Ind. Aerod., 97(7–8), 368–380.
Kwok, K. C. S., and Macdonald, P. A. (1990). “Full-scale measurements of wind-induced acceleration response of Sydney Tower.” Eng. Struct., 12(3), 153–162.
Kwok, K. C. S., and Samali, B. (1995). “Performance of tuned mass dampers under wind loads.” Eng. Struct., 17(9), 655–667.
Lam, K., and Li, A. (2009). “Mode shape correction for wind-induced dynamic responses of tall buildings using time-domain computation and wind tunnel tests.” J. Sound Vib., 322(4–5), 740–755.
Lee, C.-L., Chen, Y.-T., Chung, L.-L., and Wang, Y.-P. (2006). “Optimal design theories and applications of tuned mass dampers.” Eng. Struct., 28(1), 43–53.
Meirovitch, L. (1970). Methods of analytical dynamics, McGraw-Hill, New York.
Nagarajaiah, S., and Varadarajan, N. (2005). “Semi-active control of wind excited building with variable stiffness TMD using short-time fourier transform.” Eng. Struct., 27(3), 431–441.
Pinkaew, T., and Fujino, Y. (2001). “Effectiveness of semi-active tuned mass dampers under harmonic excitation.” Eng. Struct., 23(7), 850–856.
Rana, R., and Soong, T. T. (1998). “Parametric study and simplified design of tuned mass dampers.” Eng. Struct., 20(3), 193–204.
Ricciardelli, F., Occhiuzzi, A., and Clemente, P. (2000). “Semi-active tuned mass damper control strategy for wind-excited structures.” J. Wind Eng. Ind. Aerod., 88(1), 57–74.
Roffel, A. J., Lourenco, R., Narasimhan, S., and Yarusevych, S. (2011). “Adaptive compensation for detuning in pendulum tuned mass dampers.” J. Struct. Eng., 137(2), 242–251.
Sacks, M. P., and Swallow, J. C. (1993). “Tuned mass dampers for towers and buildings.” Proc., Symp. on Structural Engineering in Natural Hazards Mitigation, SEI Structures Congress, Irvine, CA, 640–645.
Simulink [Computer software]. MathWorks, Natick, MA.
Tanaka, H., and Mak, C. Y. (1983). “Effect of tuned mass dampers on wind induced response of tall buildings.” J. Wind Eng. Ind. Aerod., 14(1–3), 357–368.
Thompson, A. G. (1981). “Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system.” J. Sound Vib., 77(3), 403–415.
Tschanz, T., and Davenport, A. G. (1983). “The base balance technique for the determination of dynamic wind loads.” J. Wind Eng. Ind. Aerod., 13(1–3), 429–439.
Tse, K. T., Hitchcock, P. A., and Kwok, K. C. S. (2009). “Mode shape linearization for HFBB analysis of wind-excited complex tall buildings.” Eng. Struct., 31(3), 675–685.
Warburton, G. B., and Ayorinde, E. O. (1980). “Optimum absorber parameters for simple systems.” Earthquake Eng. Struct. Dynam., 8(3), 197–217.
Xu, Y., Kwok, K., and Samali, B. (1992). “The effect of tuned mass dampers and liquid dampers on cross-wind response of tall/slender structures.” J. Wind Eng. Ind. Aerod., 40(1), 33–54.
Xu, Y. L., and Kwok, K. C. S. (1994). “Semianalytical method for parametric study of tuned mass dampers.” J. Struct. Eng., 120(3), 747–764.
Yip, D. Y. N., and Flay, R. G. J. (1995). “A new force balance data analysis method for wind response predictions of tall buildings.” J. Wind Eng. Ind. Aerod., 54–55, 457–471.
Zhou, Y., Kareem, A., and Gu, M. (2002). “Mode shape corrections for wind load effects.” J. Eng. Mech., 128(1), 15–23.
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Published In
Journal of Structural Engineering
Volume 139 • Issue 12 • December 2013
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 14, 2011
Accepted: Dec 27, 2012
Published online: Dec 29, 2012
Published in print: Dec 1, 2013
Discussion open until: Feb 13, 2014
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