Technical Papers
Dec 15, 2021

A Modified Endurance Time Analysis Algorithm to Correct Duration Effects for a Concrete Gravity Dam

Publication: International Journal of Geomechanics
Volume 22, Issue 2

Abstract

Durations are defined as an essential component of the three primary characteristics of strong earthquakes, which exhibit a remarkable influence on the damage characteristics of a concrete dam body. However, when considering the distinctive definitions of a strong motion duration, the influence of several durations on the seismic analysis of gravity dams remains unclear. In addition, there is no specific conclusion on the optimal choice for the duration of a strong ground motion. The endurance time analysis (ETA) method, which is a high-efficiency seismic performance method, is widely used, because of the high precision and low computation effort when calculating the dynamic responses of structures. However, when using this method it is almost impossible to account for any one type of duration contribution. Therefore, a modified ETA algorithm to correct duration effects will be proposed in this paper based on the three existing types of durations, such as bracketed (Tb), uniform (Tu), and significant (Ts) durations. The dynamic response will be further corrected using a modified ETA method in the numerical application to the Koyna concrete gravity dam, which is one of the largest dams in Maharashtra state, India. A group of 20 endurance time acceleration functions (ETAFs) and 10 sets of two-dimensional (2D) artificial waves with three total durations will be synthesized through the same site design acceleration spectrum. Three types of indices that include the dissipation energy, damage, and deformation indices will be used to measure the seismic performance. The nonlinear analysis results will be compared with those from the ETA and quantitative analysis methods, which show that the modified ETA method could provide an effective estimation to monitor earthquake resistance and structural seismic performance with a certain safety margin. The influence of the duration of a strong ground motion could be considered in the modified ETA method, which could be further applied in practical engineering.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 51779032) and the National Key Research and Development Plan (Grant No. 2017YFC0404900).

References

Alembagheri, M., and M. Ghaemian. 2013a. “Damage assessment of a concrete arch dam through nonlinear incremental dynamic analysis.” Soil Dyn. Earthquake Eng. 44: 127–137. https://doi.org/10.1016/j.soildyn.2012.09.010.
Alembagheri, M., and M. Ghaemian. 2013b. “Incremental dynamic analysis of concrete gravity dams including base and lift joints.” Earthquake Eng. Eng. Vib. 12 (1): 119–134. https://doi.org/10.1007/s11803-013-0156-2.
Arias, A. 1970. “A measure of earthquake intensity.” In Seismic design for nuclear power plants, edited by R. J. Hansen, 438–483. Cambridge, MA: MIT Press.
Asgarian, B., A. Sadrinezhad, and P. Alanjari. 2010. “Seismic performance evaluation of steel moment resisting frames through incremental dynamic analysis.” J. Constr. Steel. Res. 66 (2): 178–190. https://doi.org/10.1016/j.jcsr.2009.09.001.
Baker, J. W. 2015. “Efficient analytical fragility function fitting using dynamic structural analysis.” Earthquake Spectra 31 (1): 579–599. https://doi.org/10.1193/021113EQS025M.
Bommer, J. J., and A. Martinezpereira. 1999. “The effective duration of earthquake strong motion.” J. Earthquake Eng. 3 (2): 127–172.
Calayir, Y., and M. Karaton. 2005. “A continuum damage concrete model for earthquake analysis of concrete gravity dam–reservoir systems.” Soil Dyn. Earthquake Eng. 25 (11): 857–869. https://doi.org/10.1016/j.soildyn.2005.05.003.
Estekanchi, H. E., A. Vafai, and M. Sadeghazar. 2004. “Endurance time method for seismic analysis and design of structures.” Sci. Iran. 11 (4): 361–370.
Estekanchi, H. E., V. Valamanesh, and A. Vafai. 2007. “Application of endurance time method in linear seismic analysis.” Eng. Struct. 29 (10): 2551–2562. https://doi.org/10.1016/j.engstruct.2007.01.009.
Hancock, J., and J. J. Bommer. 2007. “Using spectral matched records to explore the influence of strong-motion duration on inelastic structural response.” Soil Dyn. Earthquake Eng. 27 (4): 291–299. https://doi.org/10.1016/j.soildyn.2006.09.004.
Hancock, J., and J. J. Bommer. 2012. “A state-of-knowledge review of the influence of strong-motion duration on structural damage.” Earthquake Spectra 22 (3): 827–845. https://doi.org/10.1193/1.2220576.
Hariri-Ardebili, M. A., and H. Mirzabozorg. 2014. “Estimation of probable damages in arch dams subjected to strong ground motions using endurance time acceleration functions.” KSCE J. Civ. Eng. 18 (2): 574–586. https://doi.org/10.1007/s12205-013-0264-6.
Hariri-Ardebili, M. A., H. Mirzabozorg, and R. Kianoush. 2012. “A study on nonlinear behavior and seismic damage assessment of concrete arch dam-reservoir-foundation system using endurance time analysis.” Iran Univ. Sci. Technol. 2 (4): 573–606.
Haririardebili, M. A., and V. E. Saouma. 2016. “Probabilistic seismic demand model and optimal intensity measure for concrete dams.” Struct. Saf. 59: 67–85. https://doi.org/10.1016/j.strusafe.2015.12.001.
Haririardebili, M. A., S. M. Seyedkolbadi, and M. R. Kianoush. 2016. “Fem-based parametric analysis of a typical gravity dam considering input excitation mechanism.” Soil Dyn. Earthquake Eng. 84: 22–43. https://doi.org/10.1016/j.soildyn.2016.01.013.
Hariri-Ardebili, M. A., Y. Zarringhalam, H. E. Estekanchi, and M. Yahyai. 2013. “Nonlinear seismic assessment of steel moment frames using time–history, incremental dynamic, and endurance time analysis methods.” Sci. Iran. 20 (3): 431–444.
Husid, R. L. 1969. “Analisis de terremotos: Analisis general.” Rev. IDIEM 8 (1): 21–42.
Iervolino, I., G. Manfredi, and E. Cosenza. 2006. “Ground motion duration effects on nonlinear seismic response.” Earthquake Eng. Struct. Dyn. 35 (1): 21–38. https://doi.org/10.1002/eqe.529.
Jamkhaneh, M. E., M. Ahmadi, and P. Sadeghian. 2020. “Simplified relations for confinement factors of partially and highly confined areas of concrete in partially encased composite columns.” Eng. Struct. 208: 110303. https://doi.org/10.1016/j.engstruct.2020.110303.
Keshteli, O. N., S. Rahimi, and M. E. Jamkhaneh. 2021. “Numerical investigation of steel moment-resisting frame on sandy soil under normal fault rupture.” Int. J. Steel Struct. 21 (2): 703–716. https://doi.org/10.1007/s13296-021-00467-0.
Lee, J., and G. L. Fenves. 1998. “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech. 124 (8): 892–900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
NEA (National Energy Administration of China). 2015. Code for seismic design of hydraulic structures of hydropower project. NB 35047- 2015. Beijing: China Electric Power Press.
Pan, J. W., C. H. Zhang, J. T. Wang, and Y. J. Xu. 2009. “Seismic damage-cracking analysis of arch dams using different earthquake input mechanisms.” Sci. China Ser. E: Technol. Sci. 52 (2): 518–529. https://doi.org/10.1007/s11431-008-0303-6.
Riahi, H., and H. E. Estekanchi. 2010. “Seismic assessment of steel frames with the endurance time method.” J. Constr. Steel. Res. 66 (6): 780–792. https://doi.org/10.1016/j.jcsr.2009.12.001.
Riahi, H., H. E. Estekanchi, and S. S. Boroujeni. 2011. “Application of endurance time method in nonlinear seismic analysis of steel frames.” Procedia Eng. 14: 3237–3244. https://doi.org/10.1016/j.proeng.2011.07.409.
Salimi, S. M., S. Rahimi, M. Hoseinzadeh, D. P. N. Kontoni, and M. Ebadi-Jamkhaneh. 2021. “Numerical 3D finite element assessment of bending moment-resisting frame equipped with semi-disconnected steel plate shear wall and yielding plate connection.” Metals 11 (4): 604. https://doi.org/10.3390/met11040604.
Shinozuka, M., M. Q. Feng, J. Lee, and T. Naganuma. 2000. “Statistical analysis of fragility curves.” J. Eng. Mech. 126 (12): 1224–1231. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:12(1224).
Trifunac, M. D., and A. G. Brady. 1975. “A study on the duration of strong earthquake ground motion.” Bull. Seismol. Soc. Am. 65 (3): 581–626.
Valamanesh, V., and H. E. Estekanchi. 2011. “Endurance time method for multi-component analysis of steel elastic moment frames.” Sci. Iran. 18 (2): 139–149. https://doi.org/10.1016/j.scient.2011.03.024.
Valamanesh, V., H. E. Estekanchi, A. Vafai, and M. Ghaemian. 2011. “Application of the endurance time method in seismic analysis of concrete gravity dams.” Sci. Iran. 18 (3): 326–337. https://doi.org/10.1016/j.scient.2011.05.039.
Vamvatsikos, D., and C. A. Cornell. 2002. “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn. 31 (3): 491–514. https://doi.org/10.1002/eqe.141.
Vamvatsikos, D., and C. A. Cornell. 2004. “Applied incremental dynamic analysis.” Earthquake Spectra 20 (2): 523–553. https://doi.org/10.1193/1.1737737.
Vamvatsikos, D., and M. Fragiadakis. 2009. “Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty.” Earthquake Eng. Struct. Dyn. 39 (2): 141–163.
Wang, C., H. Hao, S. Zhang, and G. Wang. 2018a. “Influence of ground motion duration on responses of concrete gravity dams.” J. Earthquake Eng. 24 (7): 1156–1180.
Wang, G., Y. Wang, W. Lu, P. Yan, W. Zhou, and M. Chen. 2016a. “A general definition of integrated strong motion duration and its effect on seismic demands of concrete gravity dams.” Eng. Struct. 125 (125): 481–493. https://doi.org/10.1016/j.engstruct.2016.07.033.
Wang, G., Y. Wang, W. Lu, W. Zhou, and C. Zhou. 2015a. “Integrated duration effects on seismic performance of concrete gravity dams using linear and nonlinear evaluation methods.” Soil Dyn. Earthquake Eng. 79: 223–236. https://doi.org/10.1016/j.soildyn.2015.09.020.
Wang, G., S. Zhang, C. Zhou, and W. Lu. 2015b. “Correlation between strong motion durations and damage measures of concrete gravity dams.” Soil Dyn. Earthquake Eng. 69: 148–162. https://doi.org/10.1016/j.soildyn.2014.11.001.
Wang, J.-T., A.-Y. Jin, X.-L. Du, and M.-X. Wu. 2016b. “Scatter of dynamic response and damage of an arch dam subjected to artificial earthquake accelerograms.” Soil Dyn. Earthquake Eng. 87: 93–100. https://doi.org/10.1016/j.soildyn.2016.05.003.
Wang, J.-T., M.-X. Zhang, A.-Y. Jin, and C.-H. Zhang. 2018b. “Seismic fragility of arch dams based on damage analysis.” Soil Dyn. Earthquake Eng. 109: 58–68. https://doi.org/10.1016/j.soildyn.2018.01.018.
Wilson, E. L., and M. Khalvati. 1983. “Finite elements for the dynamic analysis of fluid-solid systems.” Int. J. Numer. Methods Eng. 19 (11): 1657–1668. https://doi.org/10.1002/nme.1620191105.
Xu, B., X. Wang, R. Pang, and Y. Zhou. 2018. “Influence of strong motion duration on the seismic performance of high cfrds based on elastoplastic analysis.” Soil Dyn. Earthquake Eng. 114: 438–447. https://doi.org/10.1016/j.soildyn.2018.08.004.
Xu, Q., S. Xu, J. Chen, and J. Li. 2020. “Investigation of stochastic seismic response and index correlation of an arch dam using endurance time analysis method.” Adv. Civ. Eng. 2020: 8862869. https://doi.org/10.1155/2020/8862869.
Xu, Q., S. Xu, J. Chen, and J. Li. 2021. “Dimensionless analysis of pulse-like effects on the seismic behavior of a dam based on wavelet-decomposed near-fault ground motions.” Structures 33 (1): 2003–2018. https://doi.org/10.1016/j.istruc.2021.05.069.
Zhang, S., and G. Wang. 2013. “Effects of near-fault and far-fault ground motions on nonlinear dynamic response and seismic damage of concrete gravity dams.” Soil Dyn. Earthquake Eng. 53: 217–229. https://doi.org/10.1016/j.soildyn.2013.07.014.
Zhang, S., G. Wang, B. Pang, and C. Du. 2013. “The effects of strong motion duration on the dynamic response and accumulated damage of concrete gravity dams.” Soil Dyn. Earthquake Eng. 45: 112–124. https://doi.org/10.1016/j.soildyn.2012.11.011.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 22Issue 2February 2022

History

Received: Mar 16, 2021
Accepted: Oct 12, 2021
Published online: Dec 15, 2021
Published in print: Feb 1, 2022
Discussion open until: May 15, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ of Technology, Dalian 116024, China. Email: [email protected]
Ph.D. Student, Faculty of Infrastructure Engineering, Dalian Univ. of Technology, Dalian 116024, China (corresponding author). Email: [email protected]
Jianyun Chen [email protected]
Professor, State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ. of Technology, Dalian 116024, China. Email: [email protected]
Associate Professor, State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ. of Technology, Dalian 116024, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • The analysis of the optimal scalar and vector intensity measurements for seismic performance assessment of deep-buried hydraulic arched tunnels, Underground Space, 10.1016/j.undsp.2022.07.004, 9, (218-233), (2023).
  • A new endurance time analysis method for damage evaluation of high arch dams under the oblique incidence of mainshock-aftershock seismic sequences by wavelet decomposition, Soil Dynamics and Earthquake Engineering, 10.1016/j.soildyn.2022.107406, 161, (107406), (2022).
  • Endurance time analysis of seismic performances of long-span continuous rigid-frame bridges with corrugated steel webs, Structures, 10.1016/j.istruc.2022.06.080, 43, (990-1001), (2022).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share