Technical Papers
Jul 15, 2024

Frequency Domain Spectral Analysis of Arch Dams under Random Seismic Excitation

Publication: Practice Periodical on Structural Design and Construction
Volume 29, Issue 4

Abstract

Previous research on seismic response analysis of dams primarily treated earthquakes as deterministic events; only a few studies on arch dams have explored earthquakes as random processes. This study introduces a three-dimensional seismic analysis of the Morrow Point arch dam, considering fully correlated random ground motion. The random ground excitation is characterized by the power spectral density function (PSDF) of the Kern County earthquake, for which the response time history is available. The spectral analysis technique describes the PSDF of the dam’s response using the desired transfer function derived from Abaqus software. The analysis method is similar to that employed in finding the PSDF of the response of offshore structures from a given wave spectrum (PSDF). The method is validated by confirming the results of the proposed method with those of modal spectral analysis for empty dams and those of the time history analysis of the full reservoir dam. The results from the numerical study show that (1) the PSDF of responses obtained by modal spectral analysis using the first ten modes of the dam matches with those obtained by the direct analysis using transfer functions for the empty dam; and (2) mean peak arch stresses increases along the height of the dam from base to top, whereas mean peak cantilever stresses decreases; further, the mean peak arch stresses are less than the mean peak cantilever stresses at the base.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

References

Abdollahi, A., A. Amini, and M. A. Hariri-Ardebili. 2022. “An uncertainty-aware dynamic shape optimization framework: Gravity dam design.” Reliab. Eng. Syst. Saf. 222 (Jun): 108402. https://doi.org/10.1016/j.ress.2022.108402.
Aftabi Sani, A., and V. Lotfi. 2011. “An effective procedure for seismic analysis of arch dams including dam-reservoir-foundation interaction effects.” J. Earthquake Eng. 15 (7): 971–988. https://doi.org/10.1080/13632469.2010.551703.
Akbari, M., M. A. Hariri-Ardebili, and H. Mirzabozorg. 2013. “Nonlinear response of high arch dams to nonuniform seismic excitation considering joint effects.” J. Eng. 2013 (1): 1–6. https://doi.org/10.1155/2013/912830.
Amini, A., A. Abdollahi, and M. A. Hariri-Ardebili. 2024. “An automated machine-learning-assisted stochastic-fuzzy multi-criteria decision making tool: Addressing record-to-record variability in seismic design.” Appl. Soft Comput. 154 (Feb): 111354. https://doi.org/10.1016/j.asoc.2024.111354.
Chi, S., W. Feng, Y. Jia, and Z. Zhang. 2022. “Stochastic finite-element analysis of earth–Rockfill dams considering the spatial variability of soil parameters.” Int. J. Geomech. 22 (12): 04022224. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002454.
Clough, R. W., and J. Penzien. 2003. Dynamics of structures. Berkeley, CA: Computers & Structures.
Dassault Systèmes. 2014. Abaqus 6.14 online documentation. Providence, Rhode Island: Dassault Systèmes.
Dassault Systèmes. 2021. Abaqus/CAE [Computer software]. Providence, Rhode Island: Dassault Systèmes.
Datta, T. K. 2010. Seismic analysis of structures. New York: Wiley.
Duron, Z. H., and J. F. Hall. 1988. “Experimental and finite element studies of the forced vibration response of morrow point dam.” Earthquake Eng. Struct. Dyn. 16 (7): 1021–1039. https://doi.org/10.1002/eqe.4290160706.
Farzad, R., and V. Lotfi. 2023. “Modal analysis of concrete arch dam–reservoir–massed foundation system in frequency domain.” Proc. Inst. Civ. Eng. Struct. Build. 176 (4): 244–256. https://doi.org/10.1680/jstbu.20.00160.
Fok, K., and A. K. Chopra. 1986. “Hydrodynamic and foundation flexibility effects in earthquake response of arch dams.” J. Struct. Eng. 112 (8): 1810–1828. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:8(1810).
Gasser, C., M. Goldgruber, and C. Bucher. 2019. “Seismic fragility curves of an arch dam with special regard to ultimate limit state.” J. Risk Uncertainty Eng. Syst. Part B: Mech. Eng. 5 (4): 041002. https://doi.org/10.1115/1.4044151.
Hall, J. F., and A. K. Chopra. 1983. “Dynamic analysis of arch dams including hydrodynamic effects.” J. Eng. Mech. 109 (1): 149–167. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:1(149).
Hariri-Ardebili, M., H. Mirzabozorg, and M. Kianoush. 2013. “Seismic analysis of high arch dams considering contraction-peripheral joints coupled effects.” Open Eng. 3 (3): 549–564. https://doi.org/10.2478/s13531-013-0111-z.
Hariri-Ardebili, M. A., and V. Saouma. 2015. “Quantitative failure metric for gravity dams.” Earthquake Eng. Struct. Dyn. 44 (3): 461–480. https://doi.org/10.1002/eqe.2481.
Hariri-Ardebili, M. A., and V. E. Saouma. 2016. “Seismic fragility analysis of concrete dams: A state-of-the-art review.” Eng. Struct. 128 (Dec): 374–399. https://doi.org/10.1016/j.engstruct.2016.09.034.
Höllinger, F. 1983. “Time-harmonic and nonstationary stochastic vibrations of arch dam-reservoir-systems.” Acta Mech. 49 (3–4): 153–167. https://doi.org/10.1007/BF01236348.
Jangid, R. S., and T. K. Datta. 1995. “Performance of base isolation systems for asymmetric building subject to random excitation.” Eng. Struct. 17 (6): 443–454. https://doi.org/10.1016/0141-0296(95)00054-B.
Karadeniz, H., M. P. Saka, and V. Togan. 2013. Spectral analysis of offshore structures under wave and earthquake loadings, 253–285. Berlin: Springer.
Løkke, A., and A. K. Chopra. 2019. “Direct finite element method for nonlinear earthquake analysis of concrete dams: Simplification, modeling, and practical application.” Earthquake Eng. Struct. Dyn. 48 (7): 818–842. https://doi.org/10.1002/eqe.3150.
Malhotra, A. K., and J. Penzien. 1970. “Nondeterministic analysis of offshore structures.” J. Eng. Mech. Div. 96 (6): 985–1003. https://doi.org/10.1061/JMCEA3.0001331.
O’Connor, J. P. F., and J. C. Boot. 1988. “A solution procedure for the earthquake analysis of arch dam-reservoir systems with compressible water.” Earthquake Eng. Struct. Dyn. 16 (5): 757–773. https://doi.org/10.1002/eqe.4290160510.
Oliveira, S., A. Alegre, E. Carvalho, P. Mendes, and J. Proença. 2022. “Seismic and structural health monitoring systems for large dams: Theoretical, computational and practical innovations.” Bull. Earthquake Eng. 20 (9): 4483–4512. https://doi.org/10.1007/s10518-022-01392-1.
Rawat, A., V. Mittal, T. Chakraborty, and V. Matsagar. 2019. “Earthquake induced sloshing and hydrodynamic pressures in rigid liquid storage tanks analyzed by coupled acoustic-structural and Euler-Lagrange methods.” Thin-Walled Struct. 134 (Jun): 333–346. https://doi.org/10.1016/j.tws.2018.10.016.
Tan, H., and A. K. Chopra. 1995. “Dam-foundation rock interaction effects in frequency-response functions of arch dams.” Earthquake Eng. Struct. Dyn. 24 (11): 1475–1489. https://doi.org/10.1002/eqe.4290241105.
The MathWorks Inc. 2023. MATLAB [Computer software]. Natick, MA: The MathWorks Inc.
Varmazyari, M., and S.-R. Sabbagh-Yazdi. 2021. “Modification of direct-FE method for nonlinear seismic analysis of arch dam-reservoir-foundation system considering spatially varying ground motion.” Soil Dyn. Earthquake Eng. 140 (Aug): 106477. https://doi.org/10.1016/j.soildyn.2020.106477.
Yang, C. Y., M. Debessay, and W. G. Li. 1991. “Random vibration of simple flexible arch dam reservoir systems from earthquakes.” Probab. Eng. Mech. 6 (1): 18–32. https://doi.org/10.1016/S0266-8920(05)80004-9.

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Go to Practice Periodical on Structural Design and Construction
Practice Periodical on Structural Design and Construction
Volume 29Issue 4November 2024

History

Received: Jan 31, 2024
Accepted: Apr 29, 2024
Published online: Jul 15, 2024
Published in print: Nov 1, 2024
Discussion open until: Dec 15, 2024

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Deepak Khandelwal [email protected]
Lecturer, Dept. of Civil Engineering, Government Polytechnic College, Jaipur, Rajasthan 302004, India (corresponding author). Email: [email protected]
S. D. Bharti [email protected]
Professor, National Centre for Disaster Mitigation and Management, Malaviya National Institute of Technology, Jaipur, Rajasthan 302017, India. Email: [email protected]
M. K. Shrimali [email protected]
Professor, National Centre for Disaster Mitigation and Management, Malaviya National Institute of Technology, Jaipur, Rajasthan 302017, India. Email: [email protected]
T. K. Datta [email protected]
Professor, National Centre for Disaster Mitigation and Management, Malaviya National Institute of Technology, Jaipur, Rajasthan 302017, India. Email: [email protected]

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