Multihazard Optimization-Based Simultaneous Design of Multistory Concrete Structures and TMDs
Publication: Journal of Structural Engineering
Volume 150, Issue 8
Abstract
High-rise buildings are sensitive to multihazard loads from both short and long-term perspectives. Adding tuned mass dampers (TMDs) is a well-established method to improve the performance of tall buildings, but the cost-benefit of adding TMDs is still a research question to be tackled. To answer this question, a methodology for optimal simultaneous design of reinforced concrete components and TMDs in high-rise buildings is developed for the first time. A cost-benefit focused optimization problem is defined, adopting a monetary cost function that includes direct and indirect costs and the multihazard long-term repair costs. Design variables related to the primary structure and the dampers are selected, as well as a set of constraints. The shear wall rigidities and capacities are included by generating a database of moment-curvature relations, followed by a curve-fitting procedure. An efficient gradient-based algorithm is developed to solve these challenging problems. Using this algorithm, 35 problems are solved, considering three building heights and three metropolitan areas in Israel, with their specific hazard and cost inputs. The results show that for 40-story buildings, adding TMDs is not profitable. For 50-story buildings, this is profitable for Jerusalem, marginally profitable for Tel-Aviv and not practical for Haifa. For 60-story buildings, adding TMDs is profitable for all the locations, with the greatest benefit being detected for Jerusalem, and then for Tel-Aviv in second place. The results are explained by the different building heights, wind load magnitudes and surface selling prices. The framework is shown to be flexible and appropriate for a preliminary TMD profitability assessment.
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Data Availability Statement
All data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
Support for this work was provided by the Israel Ministry of Housing and Construction through the National Building Research Institute at the Technion. The authors gratefully acknowledge this support.
References
Abe, M., and T. Igusa. 1995. “Tuned mass dampers for structures with closely spaced natural frequencies.” Earthquake Eng. Struct. Dyn. 24 (2): 247–261. https://doi.org/10.1002/eqe.4290240209.
Abé, M., and Y. Fujino. 1994. “Dynamic characterization of multiple tuned mass dampers and some design formulas.” Earthquake Eng. Struct. Dyn. 23 (8): 813–835. https://doi.org/10.1002/eqe.4290230802.
Al-Kodmany, K. 2012. “The logic of vertical density: Tall buildings in the 21st century city.” Int. J. High-Rise Build. 1 (2): 131–148.
ASCE. 1998. Minimum design loads for buildings and other structures. ASCE-98. Reston, VA: ASCE.
Aslani, H., and E. Miranda. 2005. Probabilistic earthquake loss estimation and loss disaggregation in buildings. Standford, CA: The John A. Blume Earthquake Engineering Center.
Bentz, E. C. 2000. “Sectional analysis of reinforced concrete members.” Ph.D. thesis, Graduate Dept. of Civil Engineering, Univ. of Toronto.
Bradley, B. A., R. P. Dhakal, M. Cubrinovski, J. B. Mander, and G. A. MacRae. 2007. “Improved seismic hazard model with application to probabilistic seismic demand analysis.” Earthquake Eng. Struct. Dyn. 36 (14): 2211–2225. https://doi.org/10.1002/eqe.727.
CBS (Israel Central Bureau of Statistics). 2004. Distribution of construction costs for residential buildings. Hebrew, Israel: CBS.
Cetin, H., E. Aydin, and B. Ozturk. 2017. “Optimal damper allocation in shear buildings with tuned mass dampers and viscous dampers.” Int. J. Earthquake Impact Eng. 2 (2): 89–120. https://doi.org/10.1504/IJEIE.2017.089038.
Chen, G., and J. Wu. 2001. “Optimal placement of multiple tune mass dampers for seismic structures.” J. Struct. Eng. 127 (9): 1054–1062. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(1054).
Chopra, A. K. 2015. Dynamics of structures: International edition. Harlow, UK: Pearson Education Limited.
Christensen, P. W., and A. Klarbring. 2008. An introduction to structural optimization. Berlin: Springer.
Christopoulos, C., and A. Filiatrault. 2006. Principles of passive supplemental damping and seismic. Pavia, Italy: IUSS Press.
Clark, A. J. 1988. “Multiple passive tuned mass dampers for reducing earthquake induced building motion.” In Vol. 5 of Proc. of the 9th World Conf. on Earthquake Engineering, 779–784. Kanpur, Uttar Pradesh, India: Indian Institute of Technology Kanpur.
Constantinou, M. C., T. T. Soong, and G. F. Dargush. 1998. Passive energy dissipation systems for structural design and retrofit. Buffalo, NY: The Multidisciplinary Center for Earthquake Engineering Research, Univ. at Buffalo.
CTBUH (Council on Tall Buildings and Urban Habitat). 2023. “Tallest buildings database.” Accessed July 6, 2023. https://www.skyscrapercenter.com/buildings.
Cui, W., T. Ma, and L. Caracoglia. 2020. “Time-cost ‘trade-off’ analysis for wind-induced inhabitability of tall buildings equipped with tuned mass dampers.” J. Wind Eng. Ind. Aerodyn. 207 (Dec): 104394. https://doi.org/10.1016/j.jweia.2020.104394.
Daniel, Y., and O. Lavan. 2014. “Gradient based optimal seismic retrofitting of 3D irregular buildings using multiple tuned mass dampers.” Comput. Struct. 139 (Jul): 84–97. https://doi.org/10.1016/j.compstruc.2014.03.002.
Daniel, Y., and O. Lavan. 2015. “Optimality criteria based seismic design of multiple tuned-mass-dampers for the control of 3D irregular buildings.” Earthquake Struct. 8 (1): 77–100. https://doi.org/10.12989/eas.2015.8.1.077.
Dehghan-Niri, E., S. M. Zahrai, and A. Mohtat. 2010. “Effectiveness-robustness objectives in MTMD system design: An evolutionary optimal design methodology.” Struct. Control Health Monit. 17 (2): 218–236. https://doi.org/10.1002/stc.297.
Dekel Group. 2019. Price list for construction and infrastructure. Hebrew, Israel: Dekel Group.
Den Hartog, J. 1947. Mechanical vibrations. New York: McGraw-Hill.
Di Paola, M., and I. Gullo. 2001. “Digital generation of multivariate wind field processes.” Probab. Eng. Mech. 16 (1): 1–10. https://doi.org/10.1016/S0266-8920(99)00032-6.
Elbakheit, A. R. 2012. “Why tall buildings? the potential of sustainable technologies in tall.” Int. J. High-Rise Build. 1 (2): 117–123.
Fadel Miguel, L. F., R. H. Lopez, L. F. F. Miguel, and A. J. Torii. 2016. “A novel approach to the optimum design of MTMDs under seismic excitations.” Struct. Control Health Monit. 23 (11): 1290–1313. https://doi.org/10.1002/stc.1845.
Greco, R., G. C. Marano, and A. Fiore. 2016. “Performance–cost optimization of tuned mass damper under low-moderate seismic actions.” Struct. Des. Tall Special Build. 25 (18): 1103–1122. https://doi.org/10.1002/tal.1300.
Gutierrez Soto, M., and H. Adeli. 2013. “Tuned mass dampers.” Arch. Comput. Methods Eng. 20: 419–431. https://doi.org/10.1007/s11831-013-9091-7.
Ierimonti, L., I. Venanzi, and L. Caracoglia. 2018. “Life-cycle damage-based cost analysis of tall buildings equipped with tuned mass dampers.” J. Wind Eng. Ind. Aerodyn. 176 (May): 54–64. https://doi.org/10.1016/j.jweia.2018.03.009.
Jensen, J. S., P. B. Nakshatrala, and D. A. Tortorelli. 2014. “On the consistency of adjoint sensitivity analysis for structural optimization of linear dynamic problems.” Struct. Multidiscip. Optim. 49 (5): 831–837. https://doi.org/10.1007/s00158-013-1024-4.
Kaveh, A., S. Javadi, and R. M. Moghanni. 2020. “Optimal structural control of tall buildings using tuned mass dampers via chaotic optimization algorithm.” Structures 28 (Dec): 2704–2713. https://doi.org/10.1016/j.istruc.2020.11.002.
Klar, A., T. Meirova, Y. Zaslavsky, and A. Shapira. 2011. Spectral acceleration maps for use in SI 413 amendment No. 5. Hebrew, Israel: The Geophysical Institute of Israel.
Kleingesinds, S., and O. Lavan. 2021. “Gradient-based multi-hazard optimization of MTMDs for tall buildings.” Comput. Struct. 249 (Jun): 106503. https://doi.org/10.1016/j.compstruc.2021.106503.
Kleingesinds, S., and O. Lavan. 2022. “Bi-tuned semi-active TMDs: Multi-hazard design for tall buildings using gradient-based optimization.” Struct. Control Health Monit. 29 (3): e2901. https://doi.org/10.1002/stc.2901.
Kleingesinds, S., O. Lavan, and I. Venanzi. 2021. “Life-cycle cost-based optimization of MTMDs for tall buildings under multiple hazards.” Struct. Infrastruct. Eng. 17 (7): 921–940. https://doi.org/10.1080/15732479.2020.1778741.
Kleingesinds, S., O. Lavan, and I. Venanzi. 2023. “Multihazard life-cycle cost optimization of active mass dampers in tall buildings.” Struct. Infrastruct. Eng. 1–23. https://doi.org/10.1080/15732479.2023.2190131.
Krawinkler, H., and E. Miranda. 2004. “Performance-based earthquake engineering.” In Vol. 9 of Earthquake engineering: From engineering seismology to performance-based engineering, edited by Y. Bozorgnia, and V. V. Bertero. Boca Raton, FL: CRC Press.
Kwok, K., and B. Samali. 1995. “Performance of tuned mass dampers under wind loads.” Eng. Struct. 17 (9): 655–667. https://doi.org/10.1016/0141-0296(95)00035-6.
Lau, S. S., and Q. Zhang. 2015. “Genesis of a vertical city in Hong Kong.” Int. J. High-Rise Build. 4 (2): 117–125.
Lavan, O. 2017. “Multi-objective optimal design of tuned mass dampers.” Struct. Control Health Monit. 24 (11): e2008. https://doi.org/10.1002/stc.2008.
Lavan, O., and Y. Daniel. 2013. “Full resources utilization seismic design of irregular structures using multiple tuned mass dampers.” Struct. Multidiscip. Optim. 48 (3): 517–532. https://doi.org/10.1007/s00158-013-0913-x.
Lee, C., K. Goda, and H. Hong. 2012. “Effectiveness of using tuned-mass dampers in reducing seismic risk.” Struct. Infrastruct. Eng. 8 (2): 141–156. https://doi.org/10.1080/15732470903419669.
Levi-Itzhak Group. 2022. A real estate prices periodical for Israeli towns. Tel Aviv, Israel: Levi-Itzhak Group.
Li, Y., and B. R. Ellingwood. 2009. “Framework for multihazard risk assessment and mitigation for wood-frame residential construction.” J. Struct. Eng. 135 (2): 159–168. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:2(159).
Lucchini, A., R. Greco, G. Marano, and G. Monti. 2013. “Robust design of tuned mass damper systems for seismic protection of multistory buildings.” J. Struct. Eng. 140 (8): A4014009. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000918.
MacLeod, I. A. 1967. “Lateral stiffness of shear walls with openings.” In Proc., Tall Buildings—Proc., Symp. on Tall Buildings with Particular Reference to Shear Wall Structures, Held in the Department of Civil Engineering, University of Southampton, April 1966, 223–252, edited by A. Coull and B. Stafford Smith. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001663.
Mahmoud, H., and G. Cheng. 2016. “Framework for lifecycle cost assessment of steel buildings under seismic and wind hazards.” J. Struct. Eng. 143 (3): 04016186. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001663.
MATLAB. 2018. version 9.5.0 (R2018b). Natick, MA: The MathWorks.
Matta, E. 2015. “Seismic effectiveness of tuned mass dampers in a life-cycle cost perspective.” Earthquake Struct. 9 (1): 73. https://doi.org/10.12989/eas.2015.9.1.073.
Matta, E. 2018. “Lifecycle cost optimization of tuned mass dampers for the seismic improvement of inelastic structures.” Earthquake Eng. Struct. Dyn. 47 (3): 714–737. https://doi.org/10.1002/eqe.2987.
Matta, E. 2021. “Seismic effectiveness and robustness of tuned mass dampers versus nonlinear energy sinks in a lifecycle cost perspective.” Bull. Earthquake Eng. 19 (1): 513–551. https://doi.org/10.1007/s10518-020-00973-2.
Mazzoni, S., F. McKenna, and G. L. Fenves. 2006. Opensees example manual. Berkeley, CA: University of California, Berkeley.
McKenna, F., M. H. Scott, and G. L. Fenves. 2009. “Nonlinear finite-element analysis software architecture using object composition.” J. Comput. Civ. Eng. 24 (1): 95–107. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000002.
NOWS (NatHaz On-line Wind Simulator). 2010. “NatHaz(Natural Hazards) Modeling Laboratory at the University of Notre Dame.” Accessed June 22, 2022. http://windsim.ce.nd.edu/int_winsim.html.
OECD (Organization for Economic Co-Operation and Development). 2023. “Fertility rates (indicator).” Accessed July 6, 2023. https://data.oecd.org/pop/fertility-rates.htm.
Ozturk, B., H. Cetin, and E. Aydin. 2022. “Optimum vertical location and design of multiple tuned mass dampers under seismic excitations.” Structures 41 (Jul): 1141–1163. https://doi.org/10.1016/j.istruc.2022.05.014.
PEER (Pacific Earthquake Engineering Research Center). 2020. “PEER ground motion database.” Accessed June 16, 2020. https://ngawest2.berkeley.edu/.
Popovics, S. 1973. “A numerical approach to the complete stress-strain curve of concrete.” Cem. Concr. Res. 3 (5): 583–599. https://doi.org/10.1016/0008-8846(73)90096-3.
Priestley, M., G. Calvi, and M. Kowalsky. 2007. Displacement-based seismic design of structures. Pavia, Italy: IUSS Press.
Pu, W., K. Kasai, and T. Kashima. 2012. “Response of conventional seismic-resistant tall buildings in Tokyo during 2011 Great East Japan Earthquake.” In Proc., 15th World Conf. on Earthquake Engineering. Lisbon, Portugal: Sociedade Portuguesa de Engenharia Sismica.
Sgobba, S., and G. C. Marano. 2010. “Optimum design of linear tuned mass dampers for structures with nonlinear behavior.” Mech. Syst. Signal Process. 24 (6): 1739–1755. https://doi.org/10.1016/j.ymssp.2010.01.009.
Shinozuka, M., and G. Deodatis. 1991. “Simulation of stochastic processes by spectral representation.” Appl. Mech. Rev. 44 (4): 191–204. https://doi.org/10.1115/1.3119501.
Stafford Smith, B., and A. Coull. 1991. Tall building structures: Analysis and design. New York: Wiley.
Svanberg, K. 1987. “The method of moving asymptotes—a new method for structural optimization.” Int. J. Numer. Methods Eng. 24 (2): 359–373. https://doi.org/10.1002/nme.1620240207.
The Standards Institution of Israel. 1995. Design provisions for earthquake resistance of structures, amendment 5. SI-413. Tel Aviv, Israel: Standards Institution of Israel.
The Standards Institution of Israel. 2003. Concrete code: General principles. SI 466 part 1. Tel Aviv, Israel: Standards Institution of Israel.
The Standards Institution of Israel. 2008. Characteristic loads in structures: Wind loads. SI 414. Tel Aviv, Israel: Standards Institution of Israel.
Tsai, H.-C., and G.-C. Lin. 1993. “Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems.” Earthquake Eng. Struct. Dyn. 22 (11): 957–973. https://doi.org/10.1002/eqe.4290221104.
Venanzi, I., O. Lavan, L. Ierimonti, and S. Fabrizi. 2018. “Multi-hazard loss analysis of tall buildings under wind and seismic loads.” Struct. Infrastruct. Eng. 14 (10): 1295–1311. https://doi.org/10.1080/15732479.2018.1442482.
Wang, L., S. Nagarajaiah, W. Shi, and Y. Zhou. 2022. “Seismic performance improvement of base-isolated structures using a semi-active tuned mass damper.” Eng. Struct. 271 (Nov): 114963. https://doi.org/10.1016/j.engstruct.2022.114963.
Wang, L., W. Shi, X. Li, Q. Zhang, and Y. Zhou. 2019. “An adaptive-passive retuning device for a pendulum tuned mass damper considering mass uncertainty and optimum frequency.” Struct. Control Health Monit. 26 (7): e2377. https://doi.org/10.1002/stc.2377.
Wang, L., Y. Zhou, S. Nagarajaiah, and W. Shi. 2023a. “Bi-directional semi-active tuned mass damper for torsional asymmetric structural seismic response control.” Eng. Struct. 294 (Nov): 116744. https://doi.org/10.1016/j.engstruct.2023.116744.
Wang, L., Y. Zhou, and W. Shi. 2023b. “Seismic control of a smart structure with semiactive tuned mass damper and adaptive stiffness property.” Earthquake Eng. Resilience 2 (1): 74–93. https://doi.org/10.1002/eer2.38.
Wang, L., Y. Zhou, W. Shi, and Y. Zhou. 2023c. “Seismic response control of a nonlinear tall building under mainshock-aftershock sequences using semi-active tuned mass damper.” Int. J. Struct. Stab. Dyn. 23 (16n18): 2340027. https://doi.org/10.1142/S0219455423400278.
Warburton, G. 1982. “Optimum absorber parameters for various combinations of response and excitation parameters.” Earthquake Eng. Struct. Dyn. 10 (3): 381–401. https://doi.org/10.1002/eqe.4290100304.
WBG (World Bank Group). 2023a. “Population density (people per sq. km of land area).” Accessed July 6, 2023. https://data.worldbank.org/indicator/EN.POP.DNST.
WBG (World Bank Group). 2023b. “Population growth (annual %).” Accessed July 6, 2023. https://data.worldbank.org/indicator/SP.POP.GROW.
Wittig, L. E., and A. K. Sinha. 1975. “Simulation of multicorrelated random processes using the FFT algorithm.” J. Acoust. Soc. Am. 58 (3): 630–634. https://doi.org/10.1121/1.380702.
Xu, Y., K. Kwok, and B. Samali. 1992. “Control of wind-induced tall building vibration by tuned mass dampers.” J. Wind Eng. Ind. Aerodyn. 40 (1): 1–32. https://doi.org/10.1016/0167-6105(92)90518-F.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 150 • Issue 8 • August 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Aug 24, 2023
Accepted: Feb 20, 2024
Published online: Jun 11, 2024
Published in print: Aug 1, 2024
Discussion open until: Nov 11, 2024
ASCE Technical Topics:
- Benefit cost ratios
- Building design
- Buildings
- Business management
- Continuum mechanics
- Damping
- Design (by type)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Financial management
- High-rise buildings
- Load factors
- Practice and Profession
- Profits
- Solid mechanics
- Structural design
- Structural dynamics
- Structural engineering
- Structures (by type)
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