Earthquakes and Structures

  • 제10권1호
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  • Pages.141-161
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  • 2016
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Estimating uncertainty in limit state capacities for reinforced concrete frame structures through pushover analysis

  • Yu, Xiaohui (Ministry-of-Education Key Lab of Structures Dynamic Behavior and Control, School of Civil Engineering, Harbin Institute of Technology) ;
  • Lu, Dagang (Ministry-of-Education Key Lab of Structures Dynamic Behavior and Control, School of Civil Engineering, Harbin Institute of Technology) ;
  • Li, Bing (School of Civil and Environmental Engineering, Nanyang Technological University)
  • 투고 : 2014.10.18
  • 심사 : 2015.11.12
  • 발행 : 2016.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

In seismic fragility and risk analysis, the definition of structural limit state (LS) capacities is of crucial importance. Traditionally, LS capacities are defined according to design code provisions or using deterministic pushover analysis without considering the inherent randomness of structural parameters. To assess the effects of structural randomness on LS capacities, ten structural parameters that include material strengths and gravity loads are considered as random variables, and a probabilistic pushover method based on a correlation-controlled Latin hypercube sampling technique is used to estimate the uncertainties in LS capacities for four typical reinforced concrete frame buildings. A series of ten LSs are identified from the pushover curves based on the design-code-given thresholds and the available damage-controlled criteria. The obtained LS capacities are further represented by a lognormal model with the median $m_C$ and the dispersion ${\beta}_C$. The results show that structural uncertainties have limited influence on $m_C$ for the LSs other than that near collapse. The commonly used assumption of ${\beta}_C$ between 0.25 and 0.30 overestimates the uncertainties in LS capacities for each individual building, but they are suitable for a building group with moderate damages. A low uncertainty as ${\beta}_C=0.1{\sim}0.15$ is adequate for the LSs associated with slight damages of structures, while a large uncertainty as ${\beta}_C=0.40{\sim}0.45$ is suggested for the LSs near collapse.

키워드

과제정보

연구 과제 주관 기관 : National Science Foundation of China

참고문헌

  1. ATC 40 (1996), Seismic evaluation and retrofit of concrete buildings: volume 1, Applied Technology Council, State of California, seismic safety commission, USA.
  2. ASCE/SEI41-06 (2007), Seismic Rehabilitation of Existing Buildings, American Society of Civil Engineers, Reston, Virginia, USA.
  3. Barbato, M., Gu, Q. and Conte, J.P. (2010), "Probabilistic Push-Over analysis of structural and soil-structure systems", J. Struct. Eng., ASCE, 136(11), 1330-1341. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000231
  4. Celik, O.C. and Ellingwood, B.R. (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
  5. Choe, D.E., Gardoni, P. and Rosowsky, D. (2007), "Closed-form fragility estimates, parameter sensitivity, and Bayesian updating for RC columns", J. Eng. Mech., ASCE, 133(7), 833-843. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:7(833)
  6. Cornell, C.A., Jalayer, F., Hamburger, R.O. and Foutch, D.A. (2002), "Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines", J. Struct. Eng., 128(4), 526-533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526)
  7. Dolsek, M. (2009), "Incremental dynamic analysis with consideration of modeling uncertainties", Earthq. Eng. Struct. Dyn., 38(6), 805-825. https://doi.org/10.1002/eqe.869
  8. Dolsek, M. (2012), "Simplified method for seismic risk assessment of buildings with consideration of aleatory and epistemic uncertainty", Struct. Infrastruct. Eng., 8(10), 939-953.
  9. Ellingwood, B.R., Celik, O.C. and Kinali, K. (2007), "Fragility assessment of building structural systems in Mid-America", Earthq. Eng. Struct. Dyn., 36(13), 1935-1952. https://doi.org/10.1002/eqe.693
  10. Erberik, M.A. and Elnashai, A.S. (2004), "Fragility Analysis of Flat-slab Structures", Eng. Struct., 26(7), 937-948. https://doi.org/10.1016/j.engstruct.2004.02.012
  11. Erberik, M.A. (2008), "Generation of fragility curves for Turkish Masonry buildings considering in-plane failure modes", Earthq. Eng. Struct. Dyn., 37(3), 387-405. https://doi.org/10.1002/eqe.760
  12. Favvata, M.J., Naoum, M.C. and Karayannis, C.G. (2013), "Limit states of RC structures with first floor irregularities", Struct. Eng. Mech., 47(6), 791-818. https://doi.org/10.12989/sem.2013.47.6.791
  13. FEMA 273 (1997), NEHRP guidelines for the seismic rehabilitation of buildings, Federal Emergency Management Agency, Washington DC, USA.
  14. FEMA (1999), HAZUS earthquakes loss estimation methodology, Federal Emergency Management Agency, Washington DC, USA.
  15. Frankie, T.M., Gencturk, B. and Elnashai, A.S. (2013), "Simulation-Based fragility relationships for unreinforced Masonry buildings", J. Struct. Eng., ASCE, 139(3), 400-410. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000648
  16. Gardoni, P., Der Kiureghian, A. and Mosalam, K.M. (2002), "Probabilistic capacity models and fragility estimates for reinforced concrete columns based on experimental observations", J. Eng. Mech., ASCE, 128(10), 1024-1038. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1024)
  17. GB50010 (2010), Code for Design of Concrete Structures, National Standards of the People's Republic of China, Beijing.
  18. GB50011 (2010), Code for Seismic Design of Buildings, National Standards of the People's Republic of China, Beijing.
  19. Howary, H.A.E. and Mehanny, S.S.F. (2011), "Seismic vulnerability evaluation of RC moment frame buildings in moderate seismic zones", Earthq. Eng. Struct. Dyn., 40(2), 215-235. https://doi.org/10.1002/eqe.1016
  20. Hueste, M.B.D. and Bai, J.W. (2007), "Seismic retrofit of a reinforced concrete flat-slab structure: Part II-seismic fragility analysis", Eng. Struct., 29(6), 1178-1188. https://doi.org/10.1016/j.engstruct.2006.07.022
  21. Ji, J., Elnashai, A.S. and Kuchma, D.A. (2007), "Seismic fragility relationships of reinforced concrete high-rise buildings", Struct. Des. Tall Spec. Build., 18(3), 259-277. https://doi.org/10.1002/tal.408
  22. Kent, D.C. and Park, R. (1971), "Flexural members with confined concrete", J. Struct. Div., ASCE, 97(7), 1969-1990.
  23. Kwon, O.S. and Elnashai, A.S. (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
  24. Lu, D.G., Yu, X.H., Jia, M.M. and Wang, G.Y. (2014), "Seismic risk assessment of a RC frame designed according to Chinese codes", Struct. Infrastruct. Eng., 10(10), 1295-1310. https://doi.org/10.1080/15732479.2013.791326
  25. Menegotto, M. and Pinto, P.E. (1973), "Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behaviour of elements under combined normal force and bending", Proceedings of IABSE Symposium on Resistance and Ultimate Deformability of Structures Acted on by Well Defined Repeated Loads, Lisbon, Portugal.
  26. Mwafy, A. (2012), "Analytically derived fragility relationships for the modern high-rise buildings in the UAE", Struct. Des. Tall. Spec. Build., 21(11), 824-843. https://doi.org/10.1002/tal.642
  27. Olsson, A.M.J. and Sandberg, G.E. (2002), "Latin hypercube sampling for stochastic finite element analysis", J. Eng. Mech., 128(1), 121-125. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(121)
  28. OpenSees (2012), Open system for earthquake engineering simulation, Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA.
  29. Ozel, A.E. and Guneyisi, E.M. (2011), "Effects of eccentric steel bracing systems on seismic fragility curves of mid-rise RC buildings - A case study", Struct. Saf., 33(1), 82-95. https://doi.org/10.1016/j.strusafe.2010.09.001
  30. Park, R. (1988), "Ductility evaluation from laboratory and analytical testing", Proceedings of the 9th World Conference on Earthquake Engineering, Vol. VIII, Japan Association for Earthquake Disaster Prevention, Tokyo-Kyoto, Japan.
  31. Pasticier, L., Claudio, A. and Fragiacomo, M. (2008), "Non-linear seismic analysis and vulnerability evaluation of a Masonry building by means of the SAP2000 V.10 code", Earthq. Eng. Struct. Dyn., 37(3), 467-485. https://doi.org/10.1002/eqe.770
  32. Panagiotakos, T.B. and Fardis, M.N. (2001), "Deformations of reinforced concrete members at yielding and ultimate", ACI Struct. J., 98(2), 135-148.
  33. Ramamoorthy, S.K., Gardoni, P. and Bracci, J.M. (2006), "Probabilistic demand models and fragility curves for reinforced concrete frames", J. Struct. Eng., ASCE, 132(10), 1563-1572. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:10(1563)
  34. Rota, M., Penna, A. and Magenes, G. (2010), "A methodology for deriving analytical fragility curves for masonry buildings based on stochastic nonlinear analysis", Eng. Struct., 32(5), 1312-1323. https://doi.org/10.1016/j.engstruct.2010.01.009
  35. Shome, N. and Paolo, B. (2010), "Comparison of vulnerability of a new high-rise concrete moment frame structure using HAZUS and nonlinear dynamic analysis", Proceedings of the 10th international conference on structural safety and reliability (ICOSSAR 2009), Osaka, Japan.
  36. Scott, B.D., Park, P. and Priestley, M.J.N. (1982), "Stress-strain behavior of concrete confined by overlapping hoops at low and high-strain rates", ACI Struct. J., 79(1), 13-27.
  37. Tomos, G.C. and Trezos, C.G. (2006), "Examination of the probabilistic response of reinforced concrete structures under static non-linear analysis", Eng. Struct., 28(1), 120-133. https://doi.org/10.1016/j.engstruct.2005.08.003
  38. Tran, C.T.N. and Li, B. (2014), "Experimental studies on the backbone curves of reinforced concrete columns with light transverse reinforcement", J. Perform. Constr. Facil., 29(5), 04014126. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000626
  39. Tran, C.T.N. and Li, B. (2013), "Ultimate displacement of reinforced concrete columns with light transverse reinforcement", J. Earthq. Eng., 17(2), 282-300. https://doi.org/10.1080/13632469.2012.730117
  40. Vamvatsikos, D. and Fragiadakis, M. (2010), "Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty", Earthq. Eng. Struct. Dyn., 39(2), 141-163. https://doi.org/10.1002/eqe.935
  41. Wen, Y.K., Ellingwood, B.R. and Bracci, J.M. (2004), Vulnerability function framework for consequence-based engineering, Technical Report No. DS-4, Mid-America Earthquake Center (MAE), University of Illinois at Urbana-Champaign, USA.
  42. Zhang, W. and Goh, A.T.C. (2014), "Multivariate adaptive regression splines model for reliability assessment of serviceability limit state of twin caverns", Geomech. Eng., 7(4), 431-458. https://doi.org/10.12989/gae.2014.7.4.431

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