Technical Papers
Jul 25, 2018

Seismic Response Sensitivity to Uncertain Variables in RC Frames with Infill Walls

Publication: Journal of Structural Engineering
Volume 144, Issue 10

Abstract

Seismic fragility analysis involves probabilistic assessment of the seismic performance of structures. A large amount of uncertainty is involved in the estimation of seismic fragility. The probabilistic modeling framework for performance assessment requires specifying the uncertainties in key input parameters in terms of probability distributions, sampling the distribution of the specified parameters in an iterative fashion, and propagating the effects of uncertainties through the model. The objective of this work is to identify and statistically predict the influence of uncertainty in the independent input parameters on which the seismic performance of RC buildings (with and without infill walls) depends. Random samples of the uncertain parameters are used in parametric nonlinear dynamic analyses of three variants of typical three-bay, four-story reinforced concrete (RC) frames, namely, bare frame, open ground story frame, and fully infilled frame. The relative importance of the uncertainties in different input parameters on response sensitivity is discussed using different statistical and graphical methods, such as displacement sensitivity radar charts, response sensitivity bar diagrams, tornado diagrams, Sobol′ indices, least absolute shrinkage and selection operator (LASSO) regression, and weighted pie charts. The seismic response of the bare and the open ground story frames is found to be most sensitive to the compressive strength of concrete and the column dimensions. Whereas the response of the fully infilled frames is sensitive to the infill properties, it is also observed that input variables with high uncertainty do not necessarily yield the highest sensitivity in the response.

Get full access to this article

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

Acknowledgments

The authors acknowledge the financial assistance provided by the Ministry of Human Resource Development (MHRD), Government of India.

References

Alembagheri, M., and M. Seyedkazemi. 2015. “Seismic performance sensitivity and uncertainty analysis of gravity dams.” Earthquake Eng. Struct. Dyn. 44 (1): 41–58. https://doi.org/10.1002/eqe.2457.
Aslani, H., C. Cabrera, and M. Rahnama. 2012. “Analysis of the sources of uncertainty for portfolio-level earthquake loss estimation.” Earthquake Eng. Struct. Dyn. 41 (11): 1549–1568.
Baker, J. W., and C. A. Cornell. 2008. “Uncertainty propagation in probabilistic seismic loss estimation.” Struct. Saf. 30 (3): 236–252. https://doi.org/10.1016/j.strusafe.2006.11.003.
Basha, S. H., and H. B. Kaushik. 2015. “Evaluation of non-linear material properties of fly ash brick masonry under compression and shear.” J. Mater. Civ. Eng. 27 (8): 04014227. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001188.
BIS (Bureau of Indian Standards). 1993. Ductile detailing of reinforced concrete structures subjected to seismic forces—Code of practice. IS 13920. New Delhi, India: BIS.
Cavaleri, L., and F. Di Trapani. 2014. “Cyclic response of masonry infilled RC frames: Experimental results and simplified modeling.” Soil Dyn. Earthquake Eng. 65 (Oct): 224–242. https://doi.org/10.1016/j.soildyn.2014.06.016.
Celarec, D., and M. Dolšek. 2013. “The impact of modelling uncertainties on the seismic performance assessment of reinforced concrete frame buildings.” Eng. Struct. 52 (Jul): 340–354. https://doi.org/10.1016/j.engstruct.2013.02.036.
Celarec, D., P. Ricci, and M. Dolšek. 2012. “The sensitivity of seismic response parameters to the uncertain modelling variables of masonry-infilled reinforced concrete frames.” Eng. Struct. 35 (Feb): 165–177. https://doi.org/10.1016/j.engstruct.2011.11.007.
Celik, O. C., and B. R. Ellingwood. 2010. “Seismic fragilities for non-ductile reinforced concrete frames—Role of aleatoric and epistemic uncertainties.” Struct. Saf. 32 (1): 1–12. https://doi.org/10.1016/j.strusafe.2009.04.003.
Choudhury, T., and H. B. Kaushik. 2018a. “Component level fragility estimation for vertically irregular reinforced concrete frames.” J. Earthquake Eng. 1–25. https://doi.org/10.1080/13632469.2018.1453413.
Choudhury, T., and H. B. Kaushik. 2018b. “Seismic fragility of open ground storey RC frames with wall openings for vulnerability assessment.” Eng. Struct. 155 (Jan): 345–357. https://doi.org/10.1016/j.engstruct.2017.11.023.
Crozet, V., I. Politopoulos, M. Yang, J. M. Martinez, and S. Erlicher. 2018. “Sensitivity analysis of pounding between adjacent structures.” Earthquake Eng. Struct. Dyn. 47 (1): 219–235. https://doi.org/10.1002/eqe.2949.
CSI (Computers and Structures Inc.). 2015. Structural analysis program, SAP2000: Advanced, static and dynamic finite element analysis of structures. Berkeley, CA: CSI.
Dolšek, M. 2009. “Incremental dynamic analysis with consideration of modeling uncertainties.” Earthquake Eng. Struct. Dyn. 38 (6): 805–825. https://doi.org/10.1002/eqe.869.
Dymiotis, C., A. J. Kappos, and M. K. Chryssanthopoulos. 1999. “Seismic reliability of RC frames with uncertain drift and member capacity.” J. Struct. Eng. 125 (9): 1038–1047. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:9(1038).
Eldin, M. N., and J. Kim. 2016. “Sensitivity analysis on seismic life-cycle cost of a fixed-steel offshore platform structure.” Ocean Eng. 121 (Jul): 323–340. https://doi.org/10.1016/j.oceaneng.2016.05.050.
FEMA. 2012. Next-generation methodology for seismic performance assessment of buildings. Washington, DC: FEMA.
Freddi, F., J. E. Padgett, and A. Dall’Asta. 2017. “Probabilistic seismic demand modeling of local level response parameters of an RC frame.” Bull. Earthquake Eng. 15 (1): 1–23. https://doi.org/10.1007/s10518-016-9948-x.
Gokkaya, B. U., J. W. Baker, and G. G. Deierlein. 2016. “Quantifying the impacts of modeling uncertainties on the seismic drift demands and collapse risk of buildings with implications on seismic design checks.” Earthquake Eng. Struct. Dyn. 45 (10): 1661–1683. https://doi.org/10.1002/eqe.2740.
Hahn, G. T., V. Bhargava, and Q. Chen. 1990. “The cyclic stress-strain properties, hysteresis loop shape, and kinematic hardening of two high-strength bearing steels.” Metall. Trans. 21 (2): 653–665. https://doi.org/10.1007/BF02671936.
James, G., D. Witten, T. Hastie, and R. Tibshirani. 2013. An introduction to statistical learning. Vol. 112. New York: Springer.
Kaushik, H. B., and T. Choudhury. 2015. “Vulnerability analysis of buildings for seismic risk assessment: A review.” J. Indian Nat. Group Int. Assoc. Bridge Struct. Eng. 45 (1): 63–76.
Kaushik, H. B., D. C. Rai, and S. K. Jain. 2007. “Stress-strain characteristics of clay brick masonry under uniaxial compression.” J. Mater. Civ. Eng. 19 (9): 728–739. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:9(728).
Kaushik, H. B., D. C. Rai, and S. K. Jain. 2009. “Effectiveness of some strengthening options for masonry-infilled RC frames with open first storey.” J. Struct. Eng. 135 (8): 925–937. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:8(925).
Kim, J., and S. Han. 2013. “Sensitivity analysis for seismic response of reinforced concrete staggered wall structures.” Mag. Concr. Res. 65 (22): 1348–1359. https://doi.org/10.1680/macr.13.00153.
Kim, J., J. H. Park, and T. H. Lee. 2011. “Sensitivity analysis of steel buildings subjected to column loss.” Eng. Struct. 33 (2): 421–432. https://doi.org/10.1016/j.engstruct.2010.10.025.
Lee, T. H., and K. M. Mosalam. 2005. “Seismic demand sensitivity of reinforced concrete shear-wall building using FOSM method.” Earthquake Eng. Struct. Dyn. 34 (14): 1719–1736. https://doi.org/10.1002/eqe.506.
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.
Mander, J. B., M. J. Priestley, and R. Park. 1988. “Theoretical stress-strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Mehanny, S. S. F., and A. S. Ayoub. 2008. “Variability in inelastic displacement demands: Uncertainty in system parameters versus randomness in ground records.” Eng. Struct. 30 (4): 1002–1013. https://doi.org/10.1016/j.engstruct.2007.06.009.
Padgett, J. E., and R. DesRoches. 2007. “Sensitivity of seismic response and fragility to parameter uncertainty.” J. Struct. Eng. 133 (12): 1710–1718. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:12(1710).
Porter, K. A., J. L. Beck, and R. V. Shaikhutdinov. 2002. Investigation of sensitivity of building loss estimates to major uncertain variables for the Van Nuys testbed. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Ranganathan, R. 1999. Structural reliability analysis and design. Mumbai, India: Jaico Publishing House.
Rota, M., A. Penna, and G. Magenes. 2010. “A methodology for deriving analytical fragility curves for masonry buildings based on stochastic nonlinear analyses.” Eng. Struct. 32 (5): 1312–1323. https://doi.org/10.1016/j.engstruct.2010.01.009.
Seo, J. 2013. “Statistical determination of significant curved I-girder bridge seismic response parameters.” Earthquake Eng. Eng. Vib. 12 (2): 251–260. https://doi.org/10.1007/s11803-013-0168-y.
Seo, J., and D. G. Linzell. 2013. “Nonlinear seismic response and parametric examination of horizontally curved steel bridges using 3D computational models.” J. Bridge Eng. 18 (3): 220–231. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000345.
Sobol′, I. M. 1993. “Sensitivity estimates for nonlinear mathematical models.” Math. Modell. Comput. Exp. 1 (4): 407–414.
Soleimani, F., B. Vidakovic, R. DesRoches, and J. Padgett. 2017. “Identification of the significant uncertain parameters in the seismic response of irregular bridges.” Eng. Struct. 141 (Jun): 356–372. https://doi.org/10.1016/j.engstruct.2017.03.017.
Takeda, T., M. A. Sozen, and N. N. Neilsen. 1970. “Reinforced concrete response to simulated earthquakes.” J. Struct. Div. 96 (12): 2557–2573.
Tibshirani, R. 1996. “Regression shrinkage and selection via the lasso.” J. R. Stat. Soc. Ser. B (Methodological) 58 (1): 267–288.
Uva, G., D. Raffaele, F. Porco, and A. Fiore. 2012. “On the role of equivalent strut models in the seismic assessment of infilled RC buildings.” Eng. Struct. 42 (Sep): 83–94. https://doi.org/10.1016/j.engstruct.2012.04.005.
Vamvatsikos, D., and M. Fragiadakis. 2010. “Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty.” Earthquake Eng. Struct. Dyn. 39 (2): 141–163.
Zona, A., L. Ragni, and A. Dall’Asta. 2012. “Sensitivity-based study of the influence of brace over-strength distributions on the seismic response of steel frames with BRBs.” Eng. Struct. 37 (Apr): 179–192. https://doi.org/10.1016/j.engstruct.2011.12.026.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 144Issue 10October 2018

History

Received: Nov 18, 2017
Accepted: May 3, 2018
Published online: Jul 25, 2018
Published in print: Oct 1, 2018
Discussion open until: Dec 25, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Trishna Choudhury [email protected]
Research Scholar, Dept. of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India. Email: [email protected]
Hemant B. Kaushik, M.ASCE [email protected]
Associate Professor, Dept. of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India (corresponding author). 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