Technical Papers
Oct 16, 2020

Top-Story Softening for Enhanced Mitigation of Vortex Shedding-Induced Vibrations in Wind-Excited Tuned Mass Damper Inerter-Equipped Tall Buildings

Publication: Journal of Structural Engineering
Volume 147, Issue 1

Abstract

An innovative structural modification, top-story softening, is herein proposed in conjunction with an optimally tuned top-floor tuned mass damper inerter (TMDI) for improved serviceability performance in typical core-frame slender buildings with rectangular floor plan susceptible to wind-induced vortex shedding (VS) effects causing occupant discomfort. This is supported through formulating a novel optimal TMDI tuning problem in which TMDI inertial properties, i.e., attached mass and inertance, as well as the lateral top-story stiffness are design parameters aiming to minimize peak acceleration of the highest occupied floor. The optimal TMDI tuning problem is numerically solved for a wide range of design parameters for a 34-story composite core-frame building subject to stochastic spatially-correlated wind-force field accounting for VS effects. A low-order dynamical model capturing faithfully modal properties of the case-study building is developed to facilitate computational work and parametric investigation. It is found that top-story softening reduces attached TMDI mass/weight requirements and inerter force for fixed performance and inertance. It further reduces TMDI stroke and achieves increased robustness to TMDI stiffness and damping properties as well as to the assumed inherent structural damping. It is concluded that by leveraging inertance and top-story stiffness, the proposed solution can efficiently control VS-induced floor acceleration with small additional gravitational (added weight) and horizontal (inerter and damping) forces.

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Data Availability Statement

All reported numerical data, computational models, and computer code produced during this study are available from the corresponding author by request.

References

Brincker, R., and C. E. Ventura. 2015. Introduction to operational modal analysis. Chichester, UK: Wiley.
Brzeski, P., and P. Perlikowski. 2017. “Effects of play and inerter nonlinearities on the performance of tuned mass damper.” Nonlinear Dyn. 88 (2): 1027–1041. https://doi.org/10.1007/s11071-016-3292-1.
Burton, M. D., K. C. S. Kwok, P. A. Hitchcock, and R. O. Denoon. 2006. “Frequency dependence of human response to wind-induced building motion.” J. Struct. Eng. 132 (2): 296–303. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:2(296).
CEN (European Committee for Standardization). 2005. Eurocode 1: Actions on structures, Part 4: Wind actions. EN 1991-1-4. Brussels, Belgium: CEN.
Charles, A., and J. E. Dennis, Jr. 2003. “Analysis of generalized pattern searches.” SIAM J. Optim. 13 (3): 889–903.https://doi.org/10.1137/S1052623400378742.
Chopra, A. K. 2000. Dynamics of structures: Theory and applications to earthquake engineering. 2nd ed. Upper Saddle River, NJ: Prentice-Hall.
Ciampoli, M., and F. Petrini. 2012. “Performance-based aeolian risk assessment and reduction for tall buildings.” Prob. Eng. Mech. 28 (Apr): 75–84. https://doi.org/10.1016/j.probengmech.2011.08.013.
Cluni, F., M. Gioffrè, and V. Gusella. 2013. “Dynamic response of tall buildings to wind loads by reduced order equivalent shear-beam models.” J. Wind Eng. Ind. Aerodyn. 123 (Dec): 339–348. https://doi.org/10.1016/j.jweia.2013.09.012.
Davenport, A. G. 1964. “Note on the distribution of the largest value of a random function with application to gust loading.” Proc. Inst. Civ. Eng. 28 (2): 187–196. https://doi.org/10.1680/iicep.1964.10112.
De Angelis, M., S. Perno, and A. Reggio. 2012. “Dynamic response and optimal design of structures with large mass ratio TMD.” Earthquake Eng. Struct. Dyn. 41 (1): 41–60. https://doi.org/10.1002/eqe.1117.
Den Hartog, J. P. 1947. Mechanical vibrations. New York: McGraw-Hill.
Dym, C. L., and H. E. Williams. 2007. “Estimating fundamental frequencies of tall buildings.” J. Struct. Eng. 133 (10): 1479–1483. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:10(1479).
Elias, S., and V. Matsagar. 2014. “Wind response control of a 76-storey benchmark building installed with distributed multiple tuned mass dampers.” J. Wind Eng. 11 (2): 37–49. https://doi.org/10.3850/978-981-07-8012-8_287.
Elias, S., and V. Matsagar. 2017. “Research developments in vibration control of structures using passive tuned mass dampers.” Ann. Rev. Control 44: 129–156. https://doi.org/10.1016/j.arcontrol.2017.09.015.
Elias, S., and V. Matsagar. 2018. “Wind response control of tall buildings with a tuned mass damper.” J. Build. Eng. 15 (Jan): 51–60. https://doi.org/10.1016/j.jobe.2017.11.005.
Fang, J. Q., A. P. Jeary, Q. S. Li, and C. K. Wong. 1997. “Random damping in buildings and its AR model.” J. Wind Eng. Ind. Aerodyn. 79 (1–2): 159–167. https://doi.org/10.1016/S0167-6105(97)00295-X.
Giaralis, A., and F. Petrini. 2017. “Wind-induced vibration mitigation in tall buildings using the tuned mass damper-inerter (TMDI).” J. Struct. Eng. 143 (9): 04017127. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001863.
Giaralis, A., and A. A. Taflanidis. 2015. “Reliability-based design of tuned-mass-damper-inerter (TMDI) equipped stochastically support excited structures.” In Proc., 12th Int. Conf. on Applications of Statistics and Probability in Civil Engineering, edited by T. Haukass. Vancouver, Canada: Univ. of British Columbia.
Giaralis, A., and A. A. Taflanidis. 2018. “Optimal tuned mass-damper-inerter (TMDI) design for seismically excited MDOF structures with model uncertainties based on reliability criteria.” Struct. Control Health Monit. 25 (2): e2082. https://doi.org/10.1002/stc.2082.
Gonzalez-Buelga, A., I. Lazar, J. Z. Jiang, S. A. Neild, and D. J. Inman. 2016. “Assessing the effect of nonlinearities on the performance of a tuned inerter damper.” Struct. Control Health Monit. 24 (3): e1879. https://doi.org/10.1002/stc.1879.
Huang, M. F. 2017. High-rise buildings under multi-hazard environment. Singapore: Springer.
Jeary, A. P. 1986. “Damping in tall buildings. A mechanism and a predictor.” Earthquake Eng. Struct. Dyn. 14 (5): 733–750. https://doi.org/10.1002/eqe.4290140505.
Kareem, A., T. Kijewski, and Y. Tamura. 1999. “Mitigation of motions of tall buildings with specific examples of recent applications.” Wind Struct. 2 (3): 201–251. https://doi.org/10.12989/was.1999.2.3.201.
Kwok, K. C. S., P. A. Hitchcock, and M. D. Burton. 2009. “Perception of vibration and occupant comfort in wind-excited tall buildings.” J. Wind Eng. Ind. Aerodyn. 97 (7–8): 368–380. https://doi.org/10.1016/j.jweia.2009.05.006.
Lagomarsino, S. 1993. “Forecast models of damping and vibration periods of buildings.” J. Wind Eng. Ind. Aerodyn. 48 (2–3): 221–239. https://doi.org/10.1016/0167-6105(93)90138-E.
Li, Q. S., L. H. Zhi, A. Y. Tuan, C. S. Kao, S. C. Su, and C. F. Wu. 2011. “Dynamic behavior of Taipei 101 Tower: Field measurement and numerical analysis.” J. Struct. Eng. 137 (1): 143–155. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000264.
Liang, S., S. Liu, Q. S. Li, L. Zhang, and M. Gu. 2002. “Mathematical model of across-wind dynamic loads on rectangular tall buildings.” J. Wind Eng. Ind. Aerodyn. 90 (12–15): 201–251. https://doi.org/10.1016/S0167-6105(02)00285-4.
Marian, L., and A. Giaralis. 2013. “Optimal design of inerter devices combined with TMDs for vibration control of buildings exposed to stochastic seismic excitations.” In Proc., 11th ICOSSAR Int. Conf. on Structural Safety and Reliability, 1025–1032. New York: CRC Press.
Marian, L., and A. Giaralis. 2014. “Optimal design of a novel tuned mass-damper–inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems.” Prob. Eng. Mech. 38 (Oct): 156–164. https://doi.org/10.1016/j.probengmech.2014.03.007.
Min, K. W., H. S. Kim, S. H. Lee, H. Kim, and S. K. Ahn. 2005. “Performance evaluation of tuned liquid column dampers for response control of a 76-story benchmark building.” Eng. Struct. 27 (7): 1101–1112. https://doi.org/10.1016/j.engstruct.2005.02.008.
Nakaminami, S., H. Kida, K. Ikago, and N. Inoue. 2016. “Dynamic testing of a full-scale hydraulic inerter-damper for the seismic protection of civil structures.” In Proc., 7th Int. Conf. on Advances in Experimental Structural Engineering, 41–54. Pavia, Italy: Eucentre. https://doi.org/10.7414/7aese.T1.55.
Papageorgiou, C., and M. C. Smith. 2005. “Laboratory experimental testing of inerters.” In Proc., 44th IEEE Conf. Decision Control, 3351–3356. New York: IEEE.
Petrini, F., and M. Ciampoli. 2012. “Performance-based wind design of tall buildings.” Struct. Infrastruct. Eng. 8 (10): 954–966. https://doi.org/10.1080/15732479.2011.574815.
Petrini, F., A. Giaralis, and Z. Wang. 2020. “Optimal tuned mass-damper-inerter (TMDI) design in wind-excited tall buildings for occupants’ comfort serviceability performance and energy harvesting.” Eng. Struct. 204 (Feb): 109904. https://doi.org/10.1016/j.engstruct.2019.109904.
Pietrosanti, D., M. De Angelis, and A. Giaralis. 2020. “Experimental study of nonlinear dynamic response of SDOF system equipped with tuned mass damper inerter (TMDI) tested on shaking table under harmonic excitation.” Int. J. Mech. Sci. 184 (Oct): 105762. https://doi.org/10.1016/j.ijmecsci.2020.105762.
Ruiz, R., A. A. Taflanidis, A. Giaralis, and D. Lopez-Garcia. 2018. “Risk-informed optimization of the tuned mass-damper-inerter (TMDI) for the seismic protection of multi-storey building structures.” Eng. Struct. 177 (Dec): 836–850. https://doi.org/10.1016/j.engstruct.2018.08.074.
Samali, B., E. Mayol, K. C. S. Kwok, A. Mack, and P. Hitchcock. 2004. “Vibration control of the wind-excited 76-story benchmark building by liquid column vibration absorbers.” J. Eng. Mech. 130 (4): 478–485. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(478).
Satake, N., K. Suda, T. Arakawa, and Y. Tamura. 2003. “Damping evaluation using full-scale date of building in Japan.” J. Struct. Eng. 129 (4): 470–477. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:4(470).
Smith, M. C. 2002. “Synthesis of mechanical networks: The inerter.” IEEE Trans. Autom. Control 47 (10): 1648–1662. https://doi.org/10.1109/TAC.2002.803532.
Soong, T. T., and M. Grigoriu. 1993. Random vibration of mechanical and structural systems. Englewood Cliffs, NJ: Prentice-Hall.
Spence, S. M. J., and A. Kareem. 2014. “Tall buildings and damping: A concept-based data-driven model.” J. Struct. Eng. 140 (5): 04014005. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000890.
Swift, S. J., M. C. Smith, A. R. Glover, C. Papageorgiou, B. Gartner, and N. E. Houghton. 2013. “Design and modelling of a fluid inerter.” Int. J. Control 86 (11): 2035–2051. https://doi.org/10.1080/00207179.2013.842263.
Taflanidis, A. A., A. Giaralis, and D. Patsialis. 2019. “Multi-objective optimal design of inerter-based vibration absorbers for earthquake protection of multi-storey building structures.” J. Franklin Inst. 356 (14): 7754–7784. https://doi.org/10.1016/j.jfranklin.2019.02.022.
Taranath, S. B. 2017. Tall building design, steel, concrete, and composite systems. Boca Raton, FL: CRC Press.
Tse, K., K. Kwok, and Y. Tamura. 2012. “Performance and cost evaluation of a smart tuned mass damper for suppressing wind-induced lateral-torsional motion of tall structures.” J. Struct. Eng. 138 (4): 514–525. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000486.
Zhang, Y., L. Li, Y. Guo, and X. Zhang. 2018. “Bidirectional wind response control of 76-story benchmark building using active mass damper with a rotating actuator.” Struct. Control Health Monit. 25 (10): e2216. https://doi.org/10.1002/stc.2216.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 147Issue 1January 2021

History

Received: Jul 26, 2019
Accepted: Jun 22, 2020
Published online: Oct 16, 2020
Published in print: Jan 1, 2021
Discussion open until: Mar 16, 2021

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Authors

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Zixiao Wang [email protected]
Ph.D. Candidate, Dept. of Civil Engineering, City, Univ. of London, London EC1V 0HB, UK. Email: [email protected]
Senior Lecturer, Dept. of Civil Engineering, City, Univ. of London, London EC1V 0HB, UK (corresponding author). ORCID: https://orcid.org/0000-0002-2952-1171. Email: [email protected]

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