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http://dx.doi.org/10.12989/eas.2013.5.4.439

Probabilistic analysis of spectral displacement by NSA and NDA  

Devandiran, P. (CSIR-SERC, CSIR Campus)
Kamatchi, P. (CSIR-SERC, CSIR Campus)
Rao, K. Balaji (CSIR-SERC, CSIR Campus)
Ravisankar, K. (CSIR-SERC, CSIR Campus)
Iyer, Nagesh R. (CSIR-SERC, CSIR Campus)
Publication Information
Earthquakes and Structures / v.5, no.4, 2013 , pp. 439-459 More about this Journal
Abstract
Main objective of the present study is to determine the statistical properties and suitable probability distribution functions of spectral displacements from nonlinear static and nonlinear dynamic analysis within the frame work of Monte Carlo simulation for typical low rise and high rise RC framed buildings located in zone III and zone V and designed as per Indian seismic codes. Probabilistic analysis of spectral displacement is useful for strength assessment and loss estimation. To the author's knowledge, no study is reported in literature on comparison of spectral displacement including the uncertainties in capacity and demand in Indian context. In the present study, uncertainties in capacity of the building is modeled by choosing cross sectional dimensions of beams and columns, density and compressive strength of concrete, yield strength and elastic modulus of steel and, live load as random variables. Uncertainty in demand is modeled by choosing peak ground acceleration (PGA) as a random variable. Nonlinear static analysis (NSA) and nonlinear dynamic analysis (NDA) are carried out for typical low rise and high rise reinforced concrete framed buildings using IDARC 2D computer program with the random sample input parameters. Statistical properties are obtained for spectral displacements corresponding to performance point from NSA and maximum absolute roof displacement from NDA and suitable probability distribution functions viz., normal, Weibull, lognormal are examined for goodness-of-fit. From the hypothesis test for goodness-of-fit, lognormal function is found to be suitable to represent the statistical variation of spectral displacement obtained from NSA and NDA.
Keywords
nonlinear static analysis; nonlinear dynamic analysis; uncertainty modeling; statistical probability distribution functions; RC framed buildings;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Applied Technology Council, ATC-40 (1996), "Seismic evaluation and retrofit of concrete buildings vols. 1 and 2", California Seismic Safety Commission, Redwood City, California, U.S.A.
2 Causevic, M. and Mitrovic, S. (2010), "Comparison between non-linear dynamic and static seismic analysis of structures according to European and US provisions", Bull. Earthq. Eng., DOI 10.1007/s10518-010-9199-1.   DOI
3 Der Kiureghian, A. and Ang, AH-S. (1977), "Fault-rupture model for seismic risk analysis", Bull. Seismol. Soc. Am., 67, 1173-1194.
4 Devandiran, P. (2011), "Probabilistic analysis of spectral displacement of RC framed buildings using spectral displacement of RC framed buildings using nonlinear static and nonlinear dynamic analysis", M. Tech thesis, VIT University, Vellore, India.
5 Eurocode 8 (2004), "Design of structures for earthquake resistance, Part 1: General rules, seismic actions and rules for buildings, European standard EN 1998-1", European Committee for Standardization (CEN), Brussels, Belgium.
6 Federal Emergency Management Agency (FEMA) (2003), "HAZUS-MH technical manual", Washington, DC, U.S.A.
7 Federal Emergency Management Agency (FEMA) (1997), "NEHRP guidelines for seismic rehabilitation of buildings-FEMA 273, NEHRP Commentary on the guidelines for the seismic rehabilitation of buildings-FEMA 274", Washington, DC, U.S.A.
8 Federal Emergency Management Agency (FEMA) (2000), "Prestandard and commentary for the seismic rehabilitation of buildings-FEMA 356", Washington, DC.
9 Federal Emergency Management Agency (FEMA) (2005), "Improvement of nonlinear static seismic analysis procedures FEMA 440", ATC-55 Project, Washington, DC.
10 Gardoni, P. and Trejo, D. (2013), "Probabilistic seismic demand models and fragility estimates for reinforced concrete bridges with base isolation", Earthq. Struct., 4(5), 525-555.
11 Gasparini, D. and Vanmarcke, E. (1976), "SIMQKE - A program for artificial motion generation, user's manual and documentation", Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA, U.S.A.
12 Gelfi, P. (2007), "SIMQKE_GR, Programma per la generazione di accelefircoigarlia mmi arti spettro-compatibili", University of Brescia, Italy.
13 Kamatchi, P., Rajasankar, J., Nagesh, Iyer R., Lakshmanan, N., Ramana, G.V. and Nagpal, A.K. (2010), "Effect of depth of soil stratum on performance of buildings for site-specific earthquakes", Soil Dyn. Earthq. Eng., 30, 647-661.   DOI   ScienceOn
14 Han, S.H. and Bang, M.S. (2012), "Probabilistic optimal safety valuation based on stochastic finite element analysis of steel cable-stayed bridges", Smart Struct. Syst., 10(2), 89-110.   DOI   ScienceOn
15 IS 1893: (Part 1) (2002), "Criteria for earthquake resistant design of structures - Part1: General provisions and buildings", Bureau of Indian Standards, New Delhi, India.
16 Kamatchi, P., Balaji, Rao K., Arunachalam, S. and Nagesh, R. Iyer (2011), "Methodologies for vulnerability assessment of built- environment subjected to earthquakes", Int. J. Earth Sci. Eng., 4(6), 183-188.
17 Kircher, C.A., Nassar, A.A., Kustu, O. and Holmes, W.T. (1997), "Development of building damage functions for earthquake loss estimation", Earthq. Spectra, 13(4), 663-681.   DOI   ScienceOn
18 Kirupakara, K.A., Kamatchi, P., Anoop, M.B. and Nagesh, R. Iyer (2010), "Methodology for estimating statistical properties of base shear capacity of buildings for different performance levels", Proceedings of 14th symposium on earthquake engineering, 17-19, December, IIT, Roorkee, India.
19 Magliulo, G., Maddaloni, G. and Cosenza, G. (2007), "Comparison between non-linear dynamic analysis performed according to EC8 and elastic and non-linear static analyses", Eng. Struct., 29, 2893-2900.   DOI   ScienceOn
20 Mahdi. T. and Gharaie. V.S. (2011), "Plan irregular RC frames: comparison of pushover with nonlinear dynamic analysis", Asian J. Civil Eng. (Building and Housing), 12(6), 679-690.
21 Ranganathan. R. (1990), "Reliability analysis and design of structures", Tata McGraw-hill publications, New Delhi, India.
22 Moshref, A. and Tehranizadeh, M. (2011), "Verifying of different nonlinear static analysis used for seismic assessment of existing buildings by nonlinear dynamic analysis", Proceedings of the Ninth Pacific Conference on Earthquake Engineering, April, 2011, Auckland, New Zealand, Paper Number 199, 1-8.
23 Papoulis, A. and Pillai, S.U. (2002), "Probability, random variables and stochastic processes", Tata McGraw-Hill, Fourth edition, New Delhi, India.
24 Peter, K. and Badoux, M. (2000), "Application of the capacity spectrum method to RC buildings with bearing walls", 12th World Conference on Earthquake Engineering, 0609, 1-8.
25 Thomos, G.C. and Trezos, G.T. (2006), "Examination of the probabilistic response of reinforced concrete structures under static non-linear analysis", Eng. Struct., 28, 120-133.   DOI   ScienceOn
26 Valles, R.E., Reinhorn, A.M., Kunnath, S.K., Li, C. and Madan, A. (1996), "IDARC 2D Version 5.0, A Program for the Inelastic Damage Analysis of Buildings", Technical Report NCEER-96-0010, State University of New York at Buffalo, U.S.A.