Technical Papers
Apr 15, 2021

Model Type Effects on the Estimated Seismic Response of a 20-Story Steel Moment Resisting Frame

Publication: Journal of Structural Engineering
Volume 147, Issue 6

Abstract

Finite-element models of varying sophistication may be employed to determine a building’s seismic response with increasing complexity, potentially offering a higher fidelity at the cost of the computational load. To account for this effect on the reliability of performance assessment, model-type uncertainty needs to be incorporated as distinct to the uncertainty related to a given model’s parameters. At present, only placeholder values are available in seismic guidelines. Instead, we attempt to quantify them accurately for a modern 20-story steel moment-resisting frame. Different types of three-dimensional (3D), two-dimensional (2D) multibay, and 2D single-bay multidegree-of-freedom models are investigated, together with their equivalent single-degree-of-freedom ones, to evaluate the model dependency of the response both within each broad model category, as well as among different categories. In conclusion, ensemble values are recommended for the uncertainty in each model category showing that for the perfectly-symmetric perimeter-frame P-Δ sensitive building under investigation, the uncertainty stemming from 3D versus 2D or distributed versus lumped plasticity models is lower than the governing record-to-record variability.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request:
All structural analysis data generated in the study.

Acknowledgments

This research has received funding from the European Union’s HORIZON 2020 Research and Innovation Programme under Grant No. 821054, project: “HYPERION—Development of a Decision Support System for Improved Resilience & Sustainable Reconstruction of historic areas to cope with Climate Change & Extreme Events based on Novel Sensors and Modelling tools.”

References

Bianchini, M., P. Diotallevi, and J. W. Baker. 2009. “Prediction of inelastic structural response using an average of spectral accelerations.” In Proc., 10th Int. Conf. on Structural Safety and Reliability (ICOSSAR09). Boca Raton, FL: CRC Press.
Bradley, B. A. 2013. “A critical examination of seismic response uncertainty analysis in earthquake engineering.” Earthquake Eng. Struct. Dyn. 42 (11): 1717–1729. https://doi.org/10.1002/eqe.2331.
Chi, W., S. El-Tawil, G. G. Deierlein, and J. F. Abel. 1998. “Inelastic analyses of a 17 story framed building damaged during Northridge.” Eng. Struct. 20 (4): 481–495. https://doi.org/10.1016/S0141-0296(97)00036-9.
Chiou, B., R. Darragh, N. Gregor, and W. Silva. 2008. “NGA project strong-motion database.” Earthquake Spectra 24 (1): 23–44. https://doi.org/10.1193/1.2894831.
Chopra, A. K., and R. K. Goel. 2002. “A modal pushover analysis procedure for estimating seismic demands for buildings.” Earthquake Eng. Struct. Dyn. 31 (3): 561–582. https://doi.org/10.1002/eqe.144.
Chopra, A. K., and F. McKenna. 2016. “Modeling viscous damping in nonlinear response history analysis of buildings for earthquake excitation.” Earthquake Eng. Struct. Dyn. 45 (2): 193–211. https://doi.org/10.1002/eqe.2622.
Cordova, P. P., G. G. Deierlein, S. S. Mehanny, and C. A. Cornell. 2001. “Development of a two parameter seismic intensity measure and probabilistic assessment procedure.” In Proc., 2nd US- Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, 187–206. California, Berkeley: Pacific Earthquake Engineering Research Center College of Engineering.
Cornell, C. A., F. Jalayer, R. O. Hamburger, and D. A. Foutch. 2002. “The probabilistic basis for the 2000  SAC/FEMA steel moment frame guidelines.” J. Struct. Eng. 128 (4): 526–533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526).
Cornell, C. A., and H. Krawinkler. 2000. “Progress and challenges in seismic performance assessment.” PEER Center News 3 (2): 1–4.
D’Ayala, D., A. Meslem, D. Vamvatsikos, K. Porter, T. Rossetto, and V. Silva. 2015. Guidelines for analytical vulnerability assessment of low/mid-rise buildings—Methodology. Pavia, Italy: Vulnerability Global Component Project.
Der Kiureghian, A., and O. Ditvelsen. 2009. “Aleatory or epistemic? Does it matter?” Struct. Saf. 31 (2): 105–112. https://doi.org/10.1016/j.strusafe.2008.06.020.
Dolsek, M. 2009. “Incremental dynamic analysis with consideration of modelling uncertainties.” Earthquake Eng. Struct. Dyn. 38 (6): 805–825. https://doi.org/10.1002/eqe.869.
Eads, L., E. Miranda, and D. G. Lignos. 2015. “Average spectral acceleration as an intensity measure for collapse risk assessment.” Earthquake Eng. Struct. Dyn. 44 (12): 2057–2073. https://doi.org/10.1002/eqe.2575.
Elkady, A., and D. G. Lignos. 2014. “Modeling of the composite action in fully restrained beam-to-column connections: Implications in the seismic design and collapse capacity of steel special moment frames.” Earthquake Eng. Struct. Dyn. 43 (13): 1935–1954. https://doi.org/10.1002/eqe.2430.
Elkady, A., and D. G. Lignos. 2015. “Effect of gravity framing on the overstrength and collapse capacity of steel frame buildings with perimeter special moment frames.” Earthquake Eng. Struct. Dyn. 44 (8): 1289–1307. https://doi.org/10.1002/eqe.2519.
Fajfar, P. 2000. “A nonlinear analysis method for performance-based seismic design.” Earthquake Spectra 16 (3): 573–592. https://doi.org/10.1193/1.1586128.
FEMA. 2009. Quantification of building seismic performance factors. FEMA P-695. Washington, DC: FEMA.
FEMA. 2012. Seismic performance assessment of buildings. FEMA P-58. Washington, DC: FEMA.
Foutch, D. A., and S. Y. Yun. 2002. “Modeling of steel moment frames for seismic loads.” J. Constr. Steel Res. 58 (5–8): 529–564.
Gupta, A., and H. Krawinkler. 1999. Seismic demands for performance evaluation of steel moment resisting frame structures. Stanford, CA: Dept. of Civil and Environmental Engineering, Stanford Univ.
Hall, J. F. 2006. “Problems encountered from the use (or misuse) of Rayleigh damping.” Earthquake Eng. Struct. Dyn. 35 (5): 525–545. https://doi.org/10.1002/eqe.541.
Haselton, C. B. 2006. “Assessing seismic collapse safety of modern reinforced concrete moment frame buildings.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Stanford Univ.
Hastie, T., R. Tibshirani, and J. Friedman. 2009. The elements of statistical learning. 2nd ed. Berlin: Springer.
Ibarra, L., and H. Krawinkler. 2011. “Variance of collapse capacity of SDOF systems under earthquake excitations.” Earthquake Eng. Struct. Dyn. 40 (12): 1299–1314. https://doi.org/10.1002/eqe.1089.
Ibarra, L. F., and H. Krawinkler. 2005. Global collapse of frame structures under seismic excitations. Stanford, CA: Dept. of Civil and Environmental Engineering, Stanford Univ., John A. Blume Earthquake Engineering Center.
Jalayer, F., I. Iervolino, and G. Manfredi. 2010. “Structural modeling uncertainties and their influence on seismic assessment of existing RC structures.” Struct. Saf. 32 (3): 220–228. https://doi.org/10.1016/j.strusafe.2010.02.004.
Kazantzi, A. K., and D. Vamvatsikos. 2015. “Intensity measure selection for vulnerability studies of building classes.” Earthquake Eng. Struct. Dyn. 44 (15): 2677–2694. https://doi.org/10.1002/eqe.2603.
Kazantzi, A. K., D. Vamvatsikos, and D. G. Lignos. 2014. “Seismic performance of a steel moment-resisting frame subject to strength and ductility uncertainty.” Eng. Struct. 78 (Nov): 69–77. https://doi.org/10.1016/j.engstruct.2014.06.044.
Kwon, O. S., and A. Elnashai. 2006. “The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structure.” Eng. Struct. 28 (2): 289–303. https://doi.org/10.1016/j.engstruct.2005.07.010.
Liel, A. B., C. B. Haselton, G. G. Deierlein, and J. W. Baker. 2009. “Incorporating modeling uncertainties in the assessment of seismic collapse risk of buildings.” Struct. Saf. 31 (2): 197–211. https://doi.org/10.1016/j.strusafe.2008.06.002.
Lignos, D. G., T. Hikino, Y. Matsuoka, and M. Nakashima. 2013. “Collapse assessment of steel moment frames based on E-defense full-scale shake table collapse tests.” J. Struct. Eng. 139 (1): 120–132. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000608.
Lignos, D. G., and H. Krawinkler. 2011. “Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading.” J. Struct. Eng. 137 (11): 1291–1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376.
Luco, N., Y. Mori, Y. Funahashi, C. A. Cornell, and M. Nakashima. 2003. “Evaluation of predictors of nonlinear seismic demands using ‘fishbone’ models of SMRF buildings.” Earthquake Eng. Struct. Dyn. 32 (14): 2267–2288. https://doi.org/10.1002/eqe.331.
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2006. OpenSees command language manual. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Nakashima, M., K. Ogawa, and K. Inoue. 2002. “Generic frame model for simulation of earthquake responses of steel moment frames.” Earthquake Eng. Struct. Dyn. 31 (3): 671–692. https://doi.org/10.1002/eqe.148.
O’Reilly, G. J., and T. J. Sullivan. 2018. “Quantification of modelling uncertainty in existing Italian RC frames.” Earthquake Eng. Struct. Dyn. 47 (4): 1054–1074. https://doi.org/10.1002/eqe.3005.
PEER (Pacific Earthquake Engineering Research Center). 2005. PEER NGA database. Berkeley, CA: PEER.
Porter, K. A., J. L. Beck, and R. V. Shaikhutdinov. 2002. “Sensitivity of building loss estimates to major uncertain variables.” Earthquake Spectra 18 (4): 719–743. https://doi.org/10.1193/1.1516201.
Scott, M. H. 2011. Numerical integration options for force-based beam-column element in OpenSees. Corvallis, OR: Oregon State Univ.
Sousa, L., V. Silva, M. Marques, and H. Crowley. 2016. “On the treatment of uncertainties in the development of fragility functions for earthquake loss estimation of building portfolios.” Earthquake Eng. Struct. Dyn. 45 (12): 1955–1976. https://doi.org/10.1002/eqe.2734.
Sousa, L., V. Silva, M. Marques, and H. Crowley. 2018. “On the treatment of uncertainty in seismic vulnerability and portfolio risk assessment.” Earthquake Eng. Struct. Dyn. 47 (1): 87–104. https://doi.org/10.1002/eqe.2940.
Tsantaki, S., and C. Adam. 2013. “Collapse capacity spectra based on an improved intensity measure.” In Proc., 4th ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2013). Athens, Greece: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens.
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 C. A. Cornell. 2005a. “Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information.” Earthquake Eng. Struct. Dyn. 34 (13): 1573–1600. https://doi.org/10.1002/eqe.496.
Vamvatsikos, D., and C. A. Cornell. 2005b. “Direct estimation of the seismic demand and capacity of MDOF systems through incremental dynamic analysis of an SDOF approximation.” J. Struct. Eng. 131 (4): 589–599. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:4(589).
Vamvatsikos, D., and M. Fragiadakis. 2010. “Incremental dynamic analysis for estimating seismic performance uncertainty and sensitivity.” Earthquake Eng. Struct. Dyn. 39 (2): 141–163. https://doi.org/10.1002/eqe.935.
Weiss, N. A. 2005. A course in probability. Boston: Addison–Wesley.
Wen, Y. K., B. R. Ellingwood, D. Veneziano, and J. Bracci. 2003. Uncertainty modeling in earthquake engineering. Urbana, IL: Mid-America Earthquake Engineering Center.
Yun, S., R. Hamburger, C. Cornell, and D. Foutch. 2002. “Seismic performance evaluation for steel moment frames.” J. Struct. Eng. 4 (534): 534–545. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(534).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 147Issue 6June 2021

History

Received: Feb 22, 2020
Accepted: Jan 15, 2021
Published online: Apr 15, 2021
Published in print: Jun 1, 2021
Discussion open until: Sep 15, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, Institute of Steel Structures, School of Civil Engineering, National Technical Univ. of Athens, 9 Iroon Polytechneiou St., Zografou Campus, Athens 15780, Greece (corresponding author). ORCID: https://orcid.org/0000-0001-9637-3482. Email: [email protected]; [email protected]
Associate Professor, Institute of Steel Structures, School of Civil Engineering, National Technical Univ. of Athens, 9 Iroon Polytechneiou St., Zografou Campus, Athens 15780, Greece. ORCID: https://orcid.org/0000-0002-4016-5040. 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

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