MPA-based IDA Using the Inelastic Displacement ratio, CR and the Collapse Intensity, RC

비탄성변위비와 붕괴강도비를 이용한 MPA기반의 IDA 해석법

  • Received : 2010.05.28
  • Accepted : 2010.08.24
  • Published : 2010.10.31


This study develops an approximate procedure for incremental dynamic analysis (IDA) using modal pushover analysis (MPA) with empirical equations of the inelastic displacement ratio ($C_R$) and the collapse strength ratio ($R_C$). By using this procedure, it is not required to conduct linear or nonlinear response history analyses of multi- or single- degree of freedom (MDF) systems. Thus, IDA curves can be effortlessly obtained. For verification of the proposed procedure, the 6-, 9- and 20-story steel moment frames are tested under an ensemble of 44 ground motions. The results show that the MPA-based IDA with empirical equations of $C_R$ and $R_C$ produced accurate IDA curves of the MDF systems. The computing time is almost negligible compared to the exact IDA using repeated nonlinear response history analysis (RHA) of a structure and the original MPA-based IDA using repeated nonlinear RHA of modal SDF systems.


Supported by : 한양대 친환경건축센터, 한국연구재단


  1. Vamvatisikos, D., and Cornell, C. A., “Incremental dynamic analysis,” Earthq. Engrg. Struc. Dyn., 31, 491-514, 2002.
  2. Vamvatisikos, D. and Cornell C. A., “Direct estimation of seismic demand and capacity of multi-degree of freedom systems through incremental dynamic analysis of single degree of freedom approximation,” J. Struct. Engrg. (ASCE), 131(4), 589-599, 2005.
  3. Han, S.W., Chopra A.K., “Approximate incremental dynamic analysis using the modal pushover analysis procedure,” Earthquake Engineering and Structural Dynamics, l35, 1853-1873, 2006.
  4. 한상환, 이태섭, “강도한계 이선형 단자유도 시스템의 비탄성변위비,” 지진공학회 게재예정, 2010.
  5. 한상환, 김종보, 배문수, 문기훈, “강도한계 이선형 단자유도 시스템의 동적 불안정,” 지진공학회 Vol.12, No. 5, 2008.
  6. Chopra, A. K., and Goel, R. K., “A modal pushover analys is procedure for estimating seismic demands for buildings,” Earthq. Engrg. Struct. Dyn., 31, 561-582, 2002.
  7. ATC 63, Quantification of building seismic performance factors, ATC-63 project, FEMA 695, Washington, D.C., 2008.
  8. Gupta, A., and Krawinkler, H., “Seismic demands for performance evaluation of steel moment resisting frame structures (SAC Task 5.4.3).,” Report No. 132, John A. Blume Earthquake Engineering Center, Stanford University, Stanford, CA., 1999.
  9. Han, S.W., Wen, Y.K., “Methods of reliability-based seismic design II: calibration of code parameters.,” Journal of Structural Engineering (ASCE), 123(3), 256-263., 1997.