Novel Geomechanics Concepts for Earthquake Excitations Applied in Time Domain
Publication: International Journal of Geomechanics
Volume 20, Issue 9
Abstract
Novel geomechanics concepts for seismic design satisfying the current performance-based seismic design (PBSD) requirements are presented. Issues related to soil conditions are explicitly addressed. To satisfy the underlying dynamics as realistically as possible, structures are represented by finite elements and the earthquake excitations are applied in time domain. PBSD is essentially a sophisticated risk-based design concept. To incorporate uncertainty in the seismic loading, the current design guidelines require the consideration of at least 11 design earthquake time histories. For wider acceptance, information on the seismic risk is extracted using multiple deterministic analyses. The proposed concept is showcased by estimating the underlying risk of a nine-story steel building designed by experts for several performance levels and different soil conditions. The basic intent of PBSD is to limit the probability of collapse to about 0.10. The study confirms that the building was well designed by the experts and the proposed method confirms this requirement. The authors believe that they proposed an alternative to simulation and the classical random vibration concept.
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Acknowledgments
The study is also partially supported by the National Science Foundation under Grant No. CMMI-1403844. Additional funding was provided by the government of Mexico through Consejo Nacional de Ciencia y Tecnología (CONACYT) under Grant No. A1-S-10088, and the Universidad Autónoma de Sinaloa (UAS). Any opinions, findings, or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the sponsors.
References
ASCE. 2016. Minimum design loads for buildings and other structures. ASCE7-16. Retson, VA: ASCE.
ATC (Applied Technology Council). 1978. Tentative provisions for the development of seismic regulations for buildings. ATC 3-06. Redwood City, CA: ATC.
Azizsoltani, H., J. R. Gaxiola-Camacho, and A. Haldar. 2018. “Site-specific seismic design of damage tolerant structural systems using a novel concept.” Bull. Earthquake Eng. 16: 3819–3843. https://doi.org/10.1007/s10518-018-0329-5.
Azizsoltani, H., and A. Haldar. 2018. “Reliability analysis of lead-free solders in electronic packaging using a novel surrogate model and kriging concept.” J. Electron. Packag. 140 (4): 41003–41011. https://doi.org/10.1115/1.4040924.
Azizsoltani, H., and A. Haldar. 2020. “Intelligent computational schemes for designing more seismic damage-tolerant structures.” J. Earthquake Eng. 24 (2): 175–202. https://doi.org/10.1080/13632469.2017.1401566.
Baker, J. W. 2011. “Conditional mean spectrum: Tool for ground-motion selection.” J. Struct. Eng. 137 (3): 322–331. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000215.
Beyer, K., and J. J. Bommer. 2007. “Selection and scaling of real accelerograms for Bi-directional loading: A review of current practice and code provisions.” J. Earthquake Eng. 11 (1): 13–45. https://doi.org/10.1080/13632460701280013.
Bommer, J. J., and A. B. Acevedo. 2004. “The use of real earthquake accelerograms as input to dynamic analysis.” J. Earthquake Eng. 8 (sup001): 43–91. https://doi.org/10.1080/13632460409350521.
Box, G. E. P., W. G. Hunter, and J. S. Hunter. 1978. Statistics for experimenters: An introduction to design, data analysis, and model building. Hoboken, NJ: John Wiley and Sons.
Box, G. E. P., and K. B. Wilson. 1951. “On the experimental attainment of optimum conditions.” J. Royal Stat. Soc. 13 (1): 1–38. https://doi.org/10.1111/j.2517-6161.1951.tb00067.x.
Chakraborty, S., and A. Sen. 2014. “Adaptive response surface based efficient finite element model updating.” Finite Elem. Anal. Des. 80: 33–40. https://doi.org/10.1016/j.finel.2013.11.002.
Cressie, N. A. C. 2015. Statistics for spatial data. New York: John Wiley & Sons.
FEMA (Federal Emergency Management Agency). 1995a. NEHRP recommended provisions for seismic regulations for new buildings. FEMA-222A. Washington, DC: FEMA.
FEMA (Federal Emergency Management Agency). 1995b. NEHRP recommended provisions for seismic regulations for new buildings, part 2—commentary. FEMA-223A. Washington, DC: FEMA.
FEMA (Federal Emergency Management Agency). 1997. NEHRP recommended provisions for seismic regulations for new buildings and other structures, part 1—provisions, prepared by the building seismic safety council for the federal emergency management agency. FEMA-302. Washington, DC: FEMA.
FEMA (Federal Emergency Management Agency). 2000a. Recommended seismic design criteria for new steel moment frame buildings. FEMA-350. Washington, DC: FEMA.
FEMA (Federal Emergency Management Agency). 2000b. State of the art report on performance prediction and evaluation of steel moment-frame buildings. FEMA-355F. Washington, DC: FEMA.
FEMA (Federal Emergency Management Agency). 2009. Quantification of building seismic performance factors. FEMA-P695. Washington, DC: FEMA.
Gaxiola-Camacho, J. R., H. Azizsoltani, F. J. Villegas-Mercado, and A. Haldar. 2017. “A novel reliability technique for implementation of performance-based seismic design of structures.” Eng. Struct. 142: 137–147. https://doi.org/10.1016/j.engstruct.2017.03.076.
Gaxiola-Camacho, J. R., A. Haldar, H. Azizsoltani, F. Valenzuela-Beltran, and A. Reyes-Salazar. 2018a. “Performance-based seismic design of steel buildings using rigidities of connections.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (1): 04017036. https://doi.org/10.1061/AJRUA6.0000943.
Gaxiola-Camacho, J. R., A. Haldar, A. Reyes-Salazar, F. Valenzuela-Beltran, G. E. Vazquez-Becerra, and A. O. Vazquez-Hernandez. 2018b. “Alternative reliability-based methodology for evaluation of structures excited by earthquakes.” Earthquake Struct. 14 (4): 361–377. https://doi.org/10.12989/eas.2018.14.4.361.
Graves, R. W., and A. Pitarka. 2010. “Broadband ground-motion simulation using a hybrid approach.” Bull. Seismol. Soc. Am. 100 (5A): 2095–2123. https://doi.org/10.1785/0120100057.
Haldar, A., and S. Mahadevan. 2000a. Probability, reliability and statistical methods in engineering design. Hoboken, NJ: Wiley.
Haldar, A., and S. Mahadevan. 2000b. Reliability assessment using stochastic finite element analysis. Hoboken, NJ: Wiley.
Haldar, A., and K.-M. Nee. 1989. “Elasto-plastic large deformation analysis of PR steel frames for LRFD.” Comput. Struct. 31 (5): 811–823. https://doi.org/10.1016/0045-7949(89)90215-0.
Hengl, T. 2007. A practical guide to geostatistical mapping of environmental variables. Ispra, Italy: European Commission, Joint Research Centre, Institute for Environment and Sustainability.
Huh, J., and A. Haldar. 2001. “Stochastic finite-element-based seismic risk of nonlinear structures.” J. Struct. Eng. 127 (3): 323–329. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:3(323).
Jayaram, N., T. Lin, and J. W. Baker. 2011. “A computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance.” Earthquake Spectra 27 (3): 797–815. https://doi.org/10.1193/1.3608002.
Khuri, A. I., and J. A. Cornell. 1996. Response surfaces : Designs and analyses. New York: Marcel Dekker.
Kim, C., S. Wang, and K. K. Choi. 2005. “Efficient response surface modeling by using moving least squares method and sensitivity.” AIAA J. 43 (11): 2404–2411. https://doi.org/10.2514/1.12366.
Kondoh, K., and S. N. Atluri. 1987. “Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses.” Comput. Mech. 2 (1): 1–25. https://doi.org/10.1007/BF00282040.
Krige, D. G. 1951. “A statistical approach to some basic mine valuation problems on the Witwatersrand.” J. South Afr. Inst. Min. Metall. 52 (6): 119–139.
Lichtenstern, A. 2013. Kriging methods in spatial statistics. Munich, Germany: Technische Universität München.
Loth, C., and J. W. Baker. 2015. “Rational design spectra for structural reliability assessment using the response spectrum method.” Earthquake Spectra 31 (4): 2007–2026. https://doi.org/10.1193/041314EQS053M.
Lucas, J. M. 1974. “Optimum composite designs.” Technometrics 16 (4): 561–567. https://doi.org/10.1080/00401706.1974.10489238.
Mai, P. M., W. Imperatori, and K. B. Olsen. 2010. “Hybrid broadband ground-motion simulations: Combining long-period deterministic synthetics with high-frequency multiple S-to-S backscattering.” Bull. Seismol. Soc. Am. 100 (5A): 2124–2142. https://doi.org/10.1785/0120080194.
Rosenblueth, E., M. Ordaz, F. J. Sánchez-Sesma, and S. K. Singh. 1989. “The Mexico earthquake of September 19, 1985—Design spectra for Mexico’s federal district.” Earthquake Spectra 5 (1): 273–291. https://doi.org/10.1193/1.1585523.
SCEC (Southern California Earthquake Center). 2016. Broadband platform. Los Angeles, CA: SCEC.
Villegas-Mercado, F. J., H. Azizsoltani, J. R. Gaxiola-Camacho, and A. Haldar. 2017. “Seismic reliability evaluation of structural systems for different soil conditions.” Int. J. Geotech. Earthquake Eng. 8 (2): 23–38. https://doi.org/10.4018/IJGEE.2017070102.
Wackernagel, H. 2013. Multivariate geostatistics: An introduction with applications. Berlin: Springer Science+Business Media.
Watson-Lamprey, J., and N. Abrahamson. 2006. “Selection of ground motion time series and limits on scaling.” Soil Dyn. Earthquake Eng. 26 (5): 477–482. https://doi.org/10.1016/j.soildyn.2005.07.001.
Webster, R., and M. A. Oliver. 2007. Geostatistics for environmental scientists. New York: John Wiley & Sons.
Zimmerman, R. B., J. W. Baker, J. D. Hooper, S. Bono, C. B. Haselton, A. Engel, R. O. Hamburger, A. Celikbas, and A. Jalalian. 2017. “Response history analysis for the design of new buildings in the NEHRP provisions and ASCE/SEI 7 standard: Part III—Example applications illustrating the recommended methodology.” Earthquake Spectra 33 (2): 419–447. https://doi.org/10.1193/061814EQS087M.
Information & Authors
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Published In
International Journal of Geomechanics
Volume 20 • Issue 9 • September 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Aug 30, 2019
Accepted: Apr 28, 2020
Published online: Jul 8, 2020
Published in print: Sep 1, 2020
Discussion open until: Dec 8, 2020
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