Probabilistic Constant-Strength Ductility Demand Spectra
Publication: Journal of Structural Engineering
Volume 133, Issue 4
Abstract
A procedure is presented to develop probabilistic constant-strength ductility demand spectra based on statistical analyses of the results of comprehensive dynamic time history simulations of bilinear single-degree-freedom systems. The procedure offers an approach to estimate both the mean and standard deviation of the ductility demand, given the normalized strength and fundamental system period. The probabilistic distribution of the ductility demands conditional on normalized strength and natural period is validated through goodness-of-fit test. The effects of post-yield stiffness ratio on ductility demand are also investigated. The proposed spectra can allow the treatment of the frequency content and peak intensity measure of the ground motion separately, and describe the state variation of a structure from elastic to inelastic as a function of the peak ground acceleration, which enables its application in stochastic seismic displacement analysis and probabilistic seismic demand analysis. An illustrative example of a seven-story planar frame structure is presented to demonstrate the applicability and utility of the proposed methodology.
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Acknowledgments
This research was funded by the Chinese National Science Foundation under Grant No. 50378034.
References
Akkar, S. D., and Miranda, E. (2005). “Statistical evaluation of approximate methods for estimating maximum deformation demands on existing structures.” J. Struct. Eng., 131(1), 160–172.
Carballo, J. E. (2000). “Probabilistic seismic demand analysis spectrum matching and design.” Rep. No. RMS-41, Reliability of Marine Structures Program, Stanford Univ., Stanford, Calif.
China Academy of Building Research. (1989). Code for seismic design of buildings (GBJ 11-89), China Building Industry Press, Beijing, China.
Chopra, A. K., and Chintanapakdee, C. (2004). “Inelastic deformation ratios for design and evaluation of structures: Single-degree-of-freedom bilinear systems.” J. Struct. Eng., 130(9), 1309–1319.
Chopra, A. K., and Goel, R. K. (1999). “Capacity-demand-diagram methods for estimating seismic deformation of inelastic structures: SDF systems.” Rep. No. PEER-1999/02, Pacific Earthquake Engineering Research Center, Berkeley, Calif., 1–65.
Conover, W. J. (1980). Practical nonparametric statistics, Wiley, New York.
Fajfar, P. (1999). “Capacity spectrum method based on inelastic demand spectra.” Earthquake Eng. Struct. Dyn., 28, 979–993.
Farrow, K. T. (2001). “Capacity-demand index relationships for performance-based seismic design.” Ph.D. thesis, Notre Dame Univ.
Lam, N., Wilson, J., and Hutchinson, G. (1998). “The ductility reduction factor in the seismic design of buildings.” Earthquake Eng. Struct. Dyn., 27, 749–769.
Lee, L. H., Han, S. W., and Oh, Y. H. (1999). “Determination of ductility factor considering different hysteretic models.” Earthquake Eng. Struct. Dyn., 28, 957–977.
Ministry of Construction of the People’s Republic of China. (2001). Code for seismic design of buildings (GB50011-2001), China Building Industry Press, Beijing.
Miranda, E. (1993). “Evaluation of site-dependent inelastic seismic design spectra.” J. Struct. Eng., 119(5), 1319–1338.
Miranda, E. (2001). “Estimation of inelastic deformation demands of SDOF systems.” J. Struct. Eng., 127(9), 1005–1012.
Nassar, A., and Krawinkler, H. (1991). “Seismic demands for SDOF and MDOF systems.” John A. Blume Earthquake Engineering Center, Rep. No. 95, Dept. of Civil Engineering, Stanford Univ., Stanford, Calif.
Newmark, N. M., and Hall, W. H. (1982). Earthquake spectra and design, 1st Ed., EERI, Oakland, Calif.
Newmark, N. M., and Riddell, R. (1980). “Inelastic spectra for seismic design.” Proc., 7th WCEE, Vol. 4, 129–136, Istanbul, Turkey.
Riddell, R. (1995). “Inelastic design spectra accounting for soil conditions.” Earthquake Eng. Struct. Dyn., 24, 1491–1510.
Riddell, R., Garcia, J. E., and Garces, E. (2002). “Inelastic deformation response of SDOF systems subjected to earthquakes.” Earthquake Eng. Struct. Dyn., 31, 515–538.
Tsai, K. C., and Li, J. W. (1994). “Drain2D+ version 1.14 user’s guide.” Rep. No. CEER/R83-03, Center for Earthquake Engineering Research, National Taiwan Univ.
Tena-Colunga, A. (2001). “Displacement ductility demand spectra for the seismic evaluation of structures.” Eng. Struct., 23, 1319–1330.
Vamvatsikos, D., and Cornell, C. A. (2002). “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn., 31, 491–514.
Vidic, T., Fajfar, P., and Fischinger, M. (1994). “Consistent inelastic design spectra: Strength and displacement.” Earthquake Eng. Struct. Dyn., 23, 507–521.
Zhang, H. Y. (2005). “Displacement-based probabilistic seismic demand analysis and design.” Ph.D. thesis, Hunan University, Changsha, China.
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© 2007 ASCE.
History
Received: Mar 13, 2006
Accepted: Jul 31, 2006
Published online: Apr 1, 2007
Published in print: Apr 2007
Notes
Note. Associate Editor: Panos Tsopelas
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