Research PaperNo Access

Damage Spectra of SDOF Structures Under Tsunami Actions Considering the Nonlinear Dynamic Analysis Method

Xiaolan Pan

https://orcid.org/0000-0001-5200-6517

College of Civil Engineering, Taiyuan University of Technology, Yingzexida Street 79, Taiyuan 030024, P. R. China

E-mail Address: panxiaolan@tyut.edu.cn

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Zhongyao Lin

College of Civil Engineering, Taiyuan University of Technology, Yingzexida Street 79, Taiyuan 030024, P. R. China

E-mail Address: zhongyaolin1212@163.com

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Lianpeng Zhang

https://orcid.org/0000-0003-1458-3967

State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Beierhuandong Road 17, Shijiazhuang 050043, P. R. China

E-mail Address: zhanglianpeng@stdu.edu.cn

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, and

Zhi Zheng

https://orcid.org/0000-0002-4751-4565

State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Beierhuandong Road 17, Shijiazhuang 050043, P. R. China

E-mail Address: zhengzhi@tyut.edu.cn

Corresponding author.

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https://doi.org/10.1142/S1793431123500343Cited by:1 (Source: Crossref)

Abstract

This paper studies the damage spectra of single-degree-of-freedom (SDOF) systems for tsunami loading. The 2011 Tohoku tsunami wave traces are computed and obtained by adopting the Cornell Multi-grid Coupled Tsunami (COMCOT) model and are further verified by the Tohoku Tsunami Joint Survey (TTJS) data. The tsunami response analyses of SDOF systems are conducted taking into account the dynamic analysis method. The classical ductility damage is considered as the damage performance. The damage spectra are computed for five force reduction factors and 791 tsunami loadings. The effects of inundation depths, hysteretic model, post-yield stiffness ratio, $α$ , viscous damping ratio, $ξ$ , are explored and interpreted scientifically and statistically. The results demonstrate that the effect of the hysteretic model, force reduction factor, R, post-yield stiffness ratio, $α$ , viscous damping ratio, $ξ$ , on the damage of the structure is evident. Comparison with the static method and influence analysis of structural damping indicate the necessity for the application of the dynamic method. A simplified predictive formulation is developed for the evaluation of structural damage for tsunami loadings.

Keywords:

References

Altunişik, A. C., Atmaca, B., Kartal, M. E., Günaydin, M., Demir, S. and Ulusan, A. [2021] “Assessment of structural damage following the October 30, 2020 Aegean sea earthquake and tsunami,” J. Earthq. Tsunami 15(6), 1–43. Link, Web of Science, Google Scholar
CCH [2000] City and County of Honolulu Building Code, Department of Planning and Permitting of Honolulu Hawaii, Article 11, Honolulu, Hawaii, [Chapter 16]. Google Scholar
Charusrojthanadech, N., Yamamoto, Y. and Ca, V. T. [2012] “Trial of an evaluation method of the building damage by tsunami,” J. Earthq. Tsunami 6(2), 1–31. Link, Web of Science, Google Scholar
Cho, Y. S. [1995] “Numerical simulations of tsunami and runup,” PhD thesis, Cornell University. Google Scholar
Daniell, J. E., Vervaeck, A. and Wenzel, F. [2011] “A timeline of the socio-economic effects of the 2011 Tohoku earthquake with emphasis on the development of a new worldwide rapid earthquake loss estimation procedure,” In AEES 2011 Conference, Barossa Valley, SA, November 18–20. Google Scholar
Datta, D. and Ghosh, S. [2008] “Uniform hazard spectra based on park-ang damage index,” J. Earthq. Tsunami 2(3), 241–258. Link, Web of Science, Google Scholar
Diao, F. Q., Xiong, X., Ni, S. D., Zheng, Y. and Ge, C. [2011] “Slip model for the 2011 Mw 9.0 Sendai (Japan) earthquake and its Mw 7.9 aftershock derived from GPS data,” Chinese Sci. Bullet. 27, 2941–2947. Crossref, Google Scholar
Duputel, Z., Rivera, L., Kanamori, H. and Hayes, G. [2012] “W phase source inversion for moderate to large earthquakes (1990–2010),” Geophys. J. Int. 189(2), 1125–1147. Crossref, Web of Science, Google Scholar
FEMA 55. [2005] Coastal construction manual, Washington, USA: Federal Emergency Management Agency. Google Scholar
GEBCO Compilation Group [2020] GEBCO 2020 Grid, Available at. https://doi.org/10.5285/a29c5465-b138-234d-e053-6c86abc040b9 Google Scholar
Heintz, J. A. and Robertson, I. N. [2008] “Design of structures for vertical evacuation from tsunamis,” In Solutions to Coastal Disasters Congress 2008, Hawaii, United States, April, 72–81. Crossref, Google Scholar
Ho, Y. B. and Kuang, J. S. [2012] “Damage evolution spectra for seismic analysis of high-rise buildings,” J. Earthq. Tsunami 6(3), 1–19. Link, Web of Science, Google Scholar
Jin, L. G., Du, L. T. and Wang, H. Y. [2021] “Dynamic interaction of two independent SDOF oscillators supported by a flexible foundation embedded in a half-space: Closed-form analytical solution for incident plane SH-waves,” J. Earthq. Tsunami 15(6), 1–24. Link, Web of Science, Google Scholar
Kawashima, K. and Buckle, I. [2013] “Structural performance of bridges in the Tohoku-Oki earthquake,” Earthq. Spectra 29(S1), S315–S338. Crossref, Web of Science, Google Scholar
Kelly, A., Tyson, W. R. and Cottrell, A. H. [1967] “Ductile and brittle crystals,” Philos. Magaz. 15(135), 567–86. Crossref, Web of Science, Google Scholar
Latcharote, P. and Kai, Y. [2015] “Double-layer platform of high performance computing for damage prediction of RC buildings subject to earthquake and subsequent tsunami in a target area,” In Computational Methods in Structural Dynamics and Earthquake Engineering, Crete Island, Greece, May, 25–27. Crossref, Google Scholar
Leelawat, N., Suppasri, A., Murao, O. and Imamura, F. [2016] “A study on the influential factors on building damage in sri lanka during the 2004 Indian ocean tsunami,” J. Earthq. Tsunami 10(2), 1–11. Link, Web of Science, Google Scholar
Li, H. and Jia, L. Z. [2011] “Assessment of damage and loss of seismically excited structures based on convex analysis,” J. Earthq. Tsunami 5(2), 101–118. Link, Web of Science, Google Scholar
Liu, L. F., Cho, Y. S., Briggs, M. J. et al.. [1995] “Runup of solitary waves on a circular island,” J. Fluid Mech. 302, 259–285. Crossref, Web of Science, Google Scholar
Lukkunaprasit, P., Ruangrassamee, A., Stitmannaithum, B. et al.. [2010] “Calibration of tsunami loading on a damaged building,” J. Earthq. Tsunami 04(02), 105–114. Link, Web of Science, Google Scholar
Macabuag, J., Lloyd, T. and Rossetto, T. [2014] “Towards the development of a method for generating analytical Tsunami Fragility Functions,” In Second European Conference on Earthquake Engineering and Seismology, Istanbul, Aug, 25–29. Google Scholar
Mansinha, L. and Smylie, D. E. [1971] “The displacement fields of inclined faults,” Bulletin Seismol. Soc. America 61(5), 1433–1440. Crossref, Web of Science, Google Scholar
Mazinani, I., Ismail, Z. B. and Hashim, A. M. [2015] “An overview of tsunami wave force on coastal bridge and open challenges,” J. Earthq. Tsunami 9(2), 1–25. Link, Web of Science, Google Scholar
Mazzoni, S., McKenna, F., Scott, M. H. and Fenves G. L. [2006] OpenSees command language manual, Pacific Earthquake Engineering Research Center. Google Scholar
Mori, N., Takahashi, T., Yasuda, T. and Yanagisawa, H. [2011] “Survey of 2011 Tohoku earthquake tsunami inundation and run-up,” Geophys. Res. Lett. 38(7), 1–6. Crossref, Web of Science, Google Scholar
Mori, N., Takahashi, T., Hamaura, S. E., Miyakaw, A. K., Tanabe, K., Tanaka, K. et al.. [2014] “Nationwide post event survey and analysis of the 2011 Tohoku earthquake tsunami,” Coast. Eng. J. 54(1), 1–27. Web of Science, Google Scholar
Mohammad, H., Alexander, R., Satoshi, K. and Rajendran, C. P. [2020] “Field surveys and numerical modelling of the 2004 December 26 Indian Ocean tsunami in the area of Mumbai, west coast of India,” Geophys. J. Int. 222(3), 1952–1964. Crossref, Web of Science, Google Scholar
Mohammad, H. and Iyan, E. M. [2023] “A new dual earthquake and submarine landslide source model for the 28 September 2018 Palu (Sulawesi), Indonesia tsunami,” Coast. Eng. J. 65(1), 97–109. Crossref, Web of Science, Google Scholar
Mousavi, S. M. F. and Sensoy, S. [2023] “Effects of the vertical component of ground motion on the maximum- inelastic-horizontal-response of SDOFs,” J. Earthq. Tsunami 17(4), 1–23. Link, Web of Science, Google Scholar
Nanayakkara, K. I. U. and Dias, W. P. S. [2016] “Fragility curves for structures under tsunami loading,” Nat. Hazards 80, 471–486. Crossref, Web of Science, Google Scholar
Nayak, S., Reddy, M., Madhavi, R. et al.. [2014] “Assessing tsunami vulnerability of structures designed for seismic loading,” Int. J. Disaster Risk Red. 7, 28–38. Crossref, Web of Science, Google Scholar
Park, S., Van De Lindt, J. W., Cox, D., Gupta, R. and Aguiniga, F. [2012] “Successive earthquake-tsunami analysis to develop collapse fragilities,” J. Earthq. Eng. 16, 851–863. Crossref, Web of Science, Google Scholar
Petrone, C., Rossetto, T. and Goda, K. [2017] “Fragility assessment of a RC structure under tsunami actions via nonlinear static and dynamic analyses,” Eng. Struct. 136, 36–53. Crossref, Web of Science, Google Scholar
Pimanmas, A., Joyklad, P. and Warnitchai, P. [2010] “Structural design guideline for tsunami evacuation shelter,” J. Earthq. Tsunami 4(04), 269–284. Link, Web of Science, Google Scholar
PMEL. [2023] Pacific Marine Environmental Laboratory: National Data Buoy Center, Available at: https://www.ndbc.noaa.gov/faq/ndbc.shtml Google Scholar
Rao, P., Reddy, S. and Rao, K. [2010] “Response of coastal buildings subjected to seismic and tsunami forces,” Int. J. Eng. Sci. Technol. 2(11), 6195–6203. Google Scholar
Rahnama, H. M. [1993] “Effects of soft soil and hysteresis model on seismic demands,” PhD thesis, Stanford University. Google Scholar
Saman, Y. S. and Shabnam, N. [2023] “Non-parametric seismic fragility curves of SDOF systems based on a clustering process,” J. Earthq. Tsunami 17(3), 1–21. Google Scholar
Scott, M. H. and Mason, H. B. [2017] “Constant-ductility response spectra for sequential earthquake and tsunami loading,” Earthq. Eng. Struct. Dynam. 46(9), 1549–1554. Crossref, Web of Science, Google Scholar
Suppasri, A., Imamura, F. and Koshimura, S. [2013] “Tsunami hazard and building damage assessment in Thailand using numerical model and fragility curves,” J. Earthq. Tsunami 7(5), 1–16. Web of Science, Google Scholar
Suppasri, A., Koshimura, S., Imamura, F., Ruangrassamee, A. and Foytong, P. [2013] “A review of tsunami damage assessment methods and building performance in Thailand,” J. Earthq. Tsunami 7(5), 1–21. Web of Science, Google Scholar
Tomita, T., Kumagai, K., Mokrani, C., Cienfuegos, R. and Matsui, H. [2016] “Tsunami and seismic damage caused by the earthquake off Iquique, Chile, in April, 2014,” J. Earthq. Tsunami 10(2), 1–16. Link, Web of Science, Google Scholar
Triatmadja, R. and Nurhasanah, A. [2012] “Tsunami force on buildings with openings and protection,” J. Earthq. Tsunami 06(04) :1250024-1–1250024-17. Link, Web of Science, Google Scholar
Wang, X. M. [2009] User manual for comcot version 1.7, Available at. http://ceeserver.cee.cornell.edu/pll-group/comcot.htm Google Scholar