Optimal Seismic Rehabilitation of Structures Using Probabilistic Seismic Demand Model

확률적 지진요구모델을 이용한 구조물의 최적 내진보강

  • Published : 2008.06.30


The seismic performance of a structure designed without consideration of seismic loading can be effectively enhanced through seismic rehabilitation. The appropriate level of rehabilitation should be determined based on the decision criteria that minimize the anticipated earthquake-related losses. To estimate the anticipated losses, seismic risk analysis should be performed considering the probabilistic characteristics of the hazard and the structural damage. This study presents the decision procedure in which the probabilistic seismic demand model is utilized for the effective estimation and minimization of the total seismic losses through seismic rehabilitation. The probability density function and the cumulative distribution function of the structural damage for a specified time period are established in a closed form, and are combined with the loss functions to derive the expected seismic loss. The procedure presented in this study could be effectively used for making decisions on the seismic rehabilitation of structural systems.


  1. Ellingwood, B. R., "Earthquake Risk Assessment of Building Structures," Reliability Engineering and System Safety, Vol. 74, No. 3, 2001, pp. 251-262
  2. Wen, Y. K., Ellingwood, B. R., Veneziano, D., and Bracci, J., Uncertainty Modeling in Earthquake Engineering, Report No. MAE-FD-2, Mid-America Earthquake Center, 2003
  3. Song, J. and Ellingwood, B. R., "Seismic Reliability of Special Moment Steel Frames with Welded Connections II," Journal of Structural Engineering, Vol. 125, No. 4, 1999, pp. 372-384
  4. Singhal, A. and Kiremidjian, A. S., "Method for Probabilistic Evaluation of Seismic Structural Damage," Journal of Structural Engineering, Vol. 122, No. 12, 1996, pp. 1459-1467
  5. 박주남, 최은수, "취약도해석을통한빌딩구조물의내진성능비 교및평가," 한국지진공학회논문집, Vol. 11, No. 3, 2007, pp. 11-21
  6. Nielson, B. G., "Analytical Fragility Curves for Highway Bridges in Moderate Seismic Zones," Ph.D. Dissertation, Georgia Institute of Technology, 2005
  7. Park, J., "Development and Application of Probabilistic Decision Support Framework for Seismic Rehabilitation of Structural Systems," Ph.D. Dissertation, Georgia Institute of Technology, 2004
  8. HAZUS, Technical Manual, Federal Emergency Management Agency, Washington, D.C., 1999
  9. FEMA-Federal Emergency Management Agency, Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Report No. FEMA-356, Washington, D.C., 2000
  10. Wen, Y. K. and Wu, C. L., "Uniform Hazard Ground Motions for Mid-America Cities," Earthquake Spectra, Vol. 17, No. 2, 2001, pp. 359-384
  11. Choi, E. and Jeon, J., "Seismic Fragility of Typical Bridges in Moderate Seismic Zone," KSCE Journal of Civil Engineering, Vol. 7, No. 1, 2003, pp. 41-51
  12. FEMA-Federal Emergency Management Agency, Typical Costs for Seismic Rehabilitation of Existing Buildings, Vol 1 - Summary, Report No. FEMA-156, Washington, D.C., 1995
  13. Iman, R. L. and Conover, W. J., "Small Sample Sensitivity Analysis Techniques for Computer Models, with an Application to Risk Assessment," Communications in Statistics, A9, No. 17, 1980, pp. 1749-1842
  14. FEMA-Federal Emergency Management Agency, A Benefit- Cost Model for the Seismic Rehabilitation of Buildings, Report No. FEMA-227, Washington, D.C., 1992
  15. Galambos, T. V., Ellingwood, B. R., MacGregor, J. G. and Cornell, C. A., "Probability Based Load Criteria: Assessment of Current Design Practice," Journal of Structural Division, Vol. 108, No. 5, 1982, pp. 959-977
  16. Frederick, S., Loewenstein, G., and O'Donoghue, T. , "Time Discounting and Time Freference: A Critical Review," Journal of Economic Literature, Vol. 40, No. 2, 2002, pp. 351-401
  17. Ellingwood, B. R. and Wen, Y. K., "Risk-Benefit- Based Design Decisions for Low-Probability/High Consequence Earthquake Events in Mod-America," Progress in Structural Engineering and Materials, Vol. 7, No. 2, 2005, pp. 56-70
  18. Cornell, C. A., Jalayer, J., Hamburger, R. O., and Foutch, D. A., "Probabilistic Basis for 2000 SAC Federal Emergency Management Agency Steel Moment Frame Guidelines," Journal of Structural Engineering, Vol. 128, No. 4, 2002, pp. 526-533

Cited by

  1. Probabilistic Study on Pressure Behavior in Concrete Vacuum Tube Structures vol.17, pp.3, 2014,