Reliability-based fragility analysis of nonlinear structures under the actions of random earthquake loads

다국어 초록 (Multilingual Abstract)

This study presents the reliability-based analysis of nonlinear structures using the analytical fragility curves excited by random earthquake loads. The stochastic method of ground motion simulation is combined with the random vibration theory to compute structural failure probability. The formulation of structural failure probability using random vibration theory, based on only the frequency information of the excitation, provides an important basis for structural analysis in places where there is a lack of sufficient recorded ground motions. The importance of frequency content of ground motions on probability of structural failure is studied for different levels of the nonlinear behavior of structures. The set of simulated ground motion for this study is based on the results of probabilistic seismic hazard analysis. It is demonstrated that the scenario events identified by the seismic risk differ from those obtained by the disaggregation of seismic hazard. The validity of the presented procedure is evaluated by Monte-Carlo simulation.

참고문헌 (Reference)

1 Baker, J.W., "Vector-Valued Ground Motion Intensity Measures for Probabilistic Seismic Demand Analysis" 2006

2 Yazdani, A., "Variance decomposition of the seismic response of structures" 19 (19): 84-90, 2012

3 Broccardo, M., "The tail equivalent linearization method for nonlinear stochastic processes, genesis and developments" 109-142, 2017

4 Der Kiureghian, A, "The geometry of random vibrations and solutions by FORM and SORM" 15 (15): 81-90, 2000

5 Kwon, O.S., "The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structure" 28 (28): 289-303, 2006

6 Key, D., "The Calculation of Structure Response. Earthquake Design Practice for Buildings" Thomas Telford 1988

7 Brune, J.N., "Tectonic stress and the spectra of seismic shear waves from earthquakes" 75 (75): 4997-5009, 1970

8 Wang, Z., "Tail-equivalent linearization of inelastic multisupport structures subjected to spatially varying stochastic ground motion" 142 (142): 4016053-, 2016

9 Garre, L., "Tail-equivalent linearization method in frequency domain and application to marine structures" 23 (23): 322-338, 2010

10 Fujimura, K., "Tail-equivalent linearization method for nonlinear random vibration" 22 (22): 63-76, 2007

11 Au, S.K., "Subset simulation and its application to seismic risk based on dynamic analysis" 129 (129): 901-917, 2003

12 Haukaas, T., "Strategies for zfinding the design point in nonlinear finite element reliability analysis" 21 (21): 133-147, 2006

13 Boore, D.M., "Stochastic prediction of ground motion and spectral response parameters at hard-rock sites in eastern North America" 77 : 440-467, 1987

14 Atkinson, G.M., "Stochastic modeling of California ground motions" 90 (90): 255-274, 2000

15 Motazedian, D., "Stochastic finitefault modeling based on a dynamic corner frequency" 95 (95): 995-1010, 2005

16 Beresnev, I.A., "Stochastic finite-fault modeling of ground motions from the 1994 Northridge, California, earth-quake, I. Validation on rock sites" 88 (88): 1392-1401, 1998

17 Sudret, B., "Stochastic Finite Element Methods and Reliability: A State-of-the-Art Report" Department of Civil and Environmental Engineering, University of California, U.S.A. 2000

18 Lallemant, D., "Statistical procedures for developing earthquake damage fragility curves" 44 (44): 1373-1389, 2015

19 Kohrangi, M., "Site dependence and record selection schemes for building fragility and regional loss assessment" 2017

20 Kanai, K., "Semiempirical formula for the seismic characteristics of the ground motion" 35 (35): 308-325, 1957

21 Katsanos, E.I., "Selection of earthquake ground motion records: A state-of-the-art review from a structural engineering perspective" 30 (30): 157-169, 2010

22 주부석, "Seismic fragility evaluation of piping system installed in critical structures" 국제구조공학회 46 (46): 337-352, 2013

23 Kafali, C., "Seismic fragility analysis: Application to simple linear and nonlinear systems" 36 (36): 1885-1900, 2007

24 Liu, J., "Seismic fragility analysis of composite frame structure based on performance" 23 (23): 45-52, 2010

25 Mandal, T.K., "Seismic fragility analysis of a typical Indian PHWR containment: Comparison of fragility models" 58 : 11-19, 2016

26 Schotanus, M.I.J., "Seismic fragility analysis of 3D structures" 26 (26): 421-441, 2004

27 Lee, T.H., "Seismic demand sensitivity of reinforced concrete shear-wall building using FOSM method" 34 (34): 1719-1736, 2005

28 Azad Yazdani, "Probabilistic study of the influence of ground motion variables on response spectra" 국제구조공학회 39 (39): 877-893, 2011

29 Boore, D.M., "Prediction of ground motion using the stochastic method" 160 : 635-676, 2003

30 Zhang, J., "Orthogonal series expansions of random fields in reliability analysis" 120 (120): 2660-2677, 1994

31 Li, C.C., "Optimal discretization of random fields" 119 (119): 1136-1154, 1993

32 Vanmarcke, E., "On the distribution of the first-passage time for normal stationary random processes" 42 (42): 215-220, 1975

33 Der Kiureghian, A., "Nonlinear stochastic dynamic analysis for performance-based earthquake engineering" 38 (38): 719-738, 2009

34 Raoufi, R., "Nonlinear biaxial structural vibration under bidirectional random excitation with incident angle ${\theta}$ by tail-equivalent linearization method" 142 (142): 04016050-, 2016

35 Broccardo, M., "Non-stationary stochastic dynamic analysis by tail-equivalent linearization" 2013

36 Broccardo, M., "Multicomponent nonlinear stochastic dynamic analysis by tail-equivalent linearization" 142 (142): 04015100-, 2015

37 Wen, Y.K., "Method for random vibration of hysteretic systems" 102 (102): 249-263, 1976

38 He, J., "Karhunen-Loeve expansion for random earthquake excitations" 14 (14): 77-, 2015

39 Vamvatsikos, D., "Incremental dynamic analysis" 31 (31): 491-514, 2002

40 Beresnev, I., "Generic finite-fault model for ground motion prediction in eastern North America" 89 (89): 608-625, 1999

41 Broccardo, M, "Further Development of the Tail-Equivalent Linearization Method for Nonlinear Stochastic Dynamics" 2014

42 Ellingwood, B.R., "Fragility assessment of building structural systems in mid-America" 36 (36): 1935-1952, 2007

43 Cimellaro, G.P., "Fragility analysis and seismic record selection" 137 (137): 379-390, 2009

44 Bouc, R, "Forced vibration of mechanical systems with hysteresis" 1967

45 Haukaas, T., "Finite Element Reliability and Sensitivity Methods for Performance-Based Engineering, Rep. No. PEER 2003/14" Pacific Earthquake Engineering Research Center, University of California 2004

46 Koo, H., "FORM, SORM and Simulation Techniques for Nonlinear Random Vibrations, Rep. No. UCB/SEMM-2003/1" Dept. of Civil and Environmental Engineering, University of California 2003

47 Silva, V., "Exploring risktargeted hazard maps for Europe" 32 (32): 1165-1186, 2016

48 Majid Khorami, "Evaluation of the seismic performance of special moment frames using incremental nonlinear dynamic analysis" 국제구조공학회 63 (63): 259-268, 2017

49 Burks, L.S., "Evaluation of hybrid broadband ground motion simulations for response history analysis and design" 31 (31): 1691-1710, 2015

50 Haselton, C.B., "Evaluation of Ground Motion Selection and Modification Methods: Predicting Median Interstory Drift Response of Buildings, PEER Report 2009" 2009

51 Alibrandi, U., "Equivalent linearization methods for stochastic dynamic analysis using linear response surfaces" 143 (143): 04017055-, 2017

52 Atkinson, G.M., "Earthquake source spectra in Eastern North America" 83 (83): 1778-1798, 1993

53 Yazdani, A., "Earthquake response spectra estimation of bilinear hysteretic systems using randomvibration theory method" 8 (8): 1055-1067, 2015

54 Liu, Z., "Dimension reduction of Karhunen-Loeve expansion for simulation of stochastic processes" 408 : 168-189, 2017

55 Seyedi, D.M., "Development of seismic fragility surfaces for reinforced concrete buildings by means of nonlinear time-history analysis" 39 (39): 91-108, 2010

56 Mitropoulou, C. C., "Developing fragility curves based on neural network IDA predictions" 33 (33): 3409-3421, 2011

57 Koo, H., "Designpoint excitation for non-linear random vibration" 20 (20): 136-147, 2005

58 Brune, J., "Correction: Tectonic stress and the spectra of seismic shear waves" 76 : 5002-, 1971

59 Lin, T., "Conditional spectrum computation incorporating multiple causal earthquakes and ground-motion prediction models" 103 (103): 1103-1116, 2013

60 Boore, D.M., "Comparing stochastic point-source and finite-source ground-motion simulations" 99 (99): 3202-3216, 2009

61 Hanks, T.C., "Character of high frequency ground motion" 71 : 2071-2095, 1981

62 Youcef Mehani, "Assessment of seismic fragility curves for existing RC buildings in Algiers after the 2003 Boumerdes earthquake" 국제구조공학회 46 (46): 791-808, 2013

63 Baker, J.W., "An improved algorithm for selecting ground motions to match a conditional spectrum" 2016

64 Boatwright, J., "Acceleration source spectra anticipated for large earthquakes in northeastern North America" 82 (82): 660-682, 1992

65 Tajimi, H., "A statistical method of determining the maximum response of a building structure during an earthquake" 1960

66 Crandall, S.H., "A half-century of stochastic equivalent linearization" 13 (13): 27-40, 2006

67 Alibrandi, U., "A gradient-free method for determining the design point in nonlinear stochastic dynamic analysis" 28 : 2-10, 2012

68 Hong, H.P., "A comparison of seismichazard and risk deaggregation" 96 (96): 2021-2039, 2006

69 Radu, A., "A comparative study on fragility analyses in earthquake engineering" 2014