International Journal of Steel Structures

, Volume 18, Issue 5, pp 1508–1524 | Cite as

Simplified Estimation Method for Collective Uncertainty-Propagations of Hysteretic Energy Dissipating Device’s Properties

  • Dong-Hyeon Shin
  • Hyung-Joon KimEmail author


Hysteretic energy dissipating devices (HEDDs) have been increasingly applied to building construction to improve the seismic performance. The seismic responses of such damped structures are significantly affected by HEDD’s structural properties. An accurate investigation on the propagation of HEDD’s structural properties is required for reasonable evaluation of the seismic performance of a structure. This study aims to develop simplified methods that can estimate the collective uncertainty-propagation to the seismic response of damped structures employing HEDDs. To achieve this, three- and six-story steel moment-resisting frames were selected and the propagations of the individual HEDD’s property-uncertainties were evaluated when they are subjected to various levels of seismic demand. Based on the result of individual uncertainty-propagations, a simplified method is proposed to evaluate the variation of seismic response collectively propagated by HEDD’s property-uncertainties and is verified by comparing with the exact collective uncertainty-propagation calculated using the Monte Carlo simulation method. The proposed method, called as a modified SRSS method in this study, is established from a conventional square root of the sum of the squares (SRSS) method with the relative contributions of the individual HEDD’s property-uncertainty propagations. This study shows that the modified SRSS method provides a better estimation than the conventional SRSS method and can significantly reduce computational time with reasonable accuracy compared with the Monte Carlo simulation method.


Hysteretic energy dissipating devices Collective uncertainty-propagation Relative contribution Modified SRSS method Monte Carlo simulation 



This work was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea Government (MSIP) (No. NRF-2016R1A2B4011900).


  1. ASCE/SEI 7. (2010). Minimum design loads for buildings and other structures. Blacksburg, VA: American Society of Civil Engineers.Google Scholar
  2. Calabrese, A., & Lai, C. G. (2016). Sensitivity analysis of the seismic response of gravity quay walls to perturbation of input parameters. Soil Dynamics and Earthquake Engineering, 83, 55–62.CrossRefGoogle Scholar
  3. Carr, A. J. (2009). User’s manual of RUAUMOKO, the Maori god of Volcanoes and earthquakes. Christchurch: Department of Civil Engineering, University of Canterbury.Google Scholar
  4. Christopoulo, C., & Filiatrault, A. (2007). Principles of passive supplemental damping and seismic isolation. Pavia: IUSS Press.Google Scholar
  5. Cornell, C. A. (1968). Engineering seismic risk analysis. Bulletin of the Seismological Society of America, 58(5), 1583–1606.Google Scholar
  6. Dargush, G. F., & Soong, T. T. (1995). Behavior of metallic plate dampers in seismic passive energy dissipation systems. Earthquake Spectra, 11(4), 545–568.CrossRefGoogle Scholar
  7. FEMA 356. (2000). Prestandard and commentary for the seismic rehabilitation of buildings. Washington, DC: Federal Emergency Management Agency.Google Scholar
  8. FEMA-P695. (2009). Quantification of building seismic performance factors. Washington, DC: Federal Emergency Management Agency.Google Scholar
  9. Hu, Y., & Chen, H. Y. (1992). Probabilistic analysis of uncertainties in seismic hazard assessment. Structural Safety, 11, 245–253.CrossRefGoogle Scholar
  10. Ibarra, L., & Krawinkler, H. (2011). Variance of collapse capacity of SDOF systems under earthquake excitations. Earthquake Engineering and Structural Dynamics, 40, 1299–1314.CrossRefGoogle Scholar
  11. Kazantzi, A. K., Vamvatsikos, D., & Lignos, D. G. (2014). Seismic performance of a steel moment-resisting frame subject to strength and ductility uncertainty. Engineering Structures, 78, 69–77.CrossRefGoogle Scholar
  12. Kwon, O. S., & Elnashai, A. (2006). The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structures. Engineering Structures, 28(2), 289–303.CrossRefGoogle Scholar
  13. Lee, T. H., & Mosalam, K. M. (2006) Probabilistic seismic evaluation of reinforced concrete structural components and systems. PEER technical report, Pacific Earthquake Engineering Research Center, University of California, Berkeley.Google Scholar
  14. Lee, T. H., & Mosalam, K. M. (2009). Identifying significant components of structures for seismic performance using FOSM method. Journal of Earthquake Engineering Society of Korea, 13(4), 37–45. (in Korean).CrossRefGoogle Scholar
  15. Mai, C., Konakli, K., & Sudret, B. (2017). Seismic fragility curves for structures using non-parametric representations. Frontiers of Structural and Civil Engineering, 11(2), 169–186.CrossRefGoogle Scholar
  16. Mohamed, N. E., & Kim, J. K. (2013). Sensitivity analysis of pile-founded fixed steel jacket platforms subjected to seismic loads. Ocean Engineering, 85, 1–11.Google Scholar
  17. Oviedo, A. J. A., Midorikawa, M., & Asari, T. (2010). Earthquake response of ten-story story-drift-controlled concrete frames with hysteretic dampers. Engineering Structures, 32, 1735–1746.CrossRefGoogle Scholar
  18. Porter, K. A., Beck, L. J., & Shaikhutdinov, R. V. (2002). Sensitivity of building loss estimation to major uncertain variables. Earthquake Spectra, 18(4), 719–743.CrossRefGoogle Scholar
  19. Ramirez, O. M., Constantinou, M. C., Kircher, C. A., Whittaker, A. S., Johnson, M. W, Gomez, J. D., & Chrysostomou, C. Z. (2001). Development and evaluation of simplified procedures for analysis and design of buildings with passive energy dissipation systems. Report No. MCEER 00-0010. Revision 1. Buffalo, NY: Multidisciplinary Center for Earthquake Engineering Research, University at Buffalo, State University of New York.Google Scholar
  20. Rosenblueth, E. (1951) A basis for a seismic design, Ph.D. thesis. University of Illinois Urbana, Illinois.Google Scholar
  21. Seo, J., Dueñas-Osorio, L., Craig, J. I., & Goodno, B. J. (2012). Metamodel-based regional vulnerability estimate of irregular steel moment-frame structures subjected to earthquake events. Engineering Structures, 45, 585–597.CrossRefGoogle Scholar
  22. Shin, D. H., & Kim, H. J. (2014). Probabilistic assessment of structural seismic performance influenced by the characteristics of hysteretic energy dissipating devices. International Journal of Steel Structure, 14(4), 697–710.CrossRefGoogle Scholar
  23. Shin, D. H., Yang, W. J., & Kim, H. J. (2016). Comparative evaluation of probabilistic uncertainty-propagations to seismic collapse capacity of low-rise steel moment-resisting frames. International Journal of Steel Structure, 16(3), 887–900.CrossRefGoogle Scholar
  24. Surana, M., Singh, Y., & Lang, D. H. (2018). Seismic characterization and vulnerability of building stock in Hilly Regions. Natural Hazards Review (ASCE), 19(1), 04017024 1-16.Google Scholar
  25. Tsai, K. C., Cheng, H. W., Hong, C. P., & Su, Y. F. (1993). Design of steel triangular plate energy absorbers for seismic-resistant construction. Earthquake Spectra, 9(3), 505–528.CrossRefGoogle Scholar
  26. US Geological Survey Hazard Curve Application, Accessed January 2018.
  27. Vamvatsikos, D., & Fragiadakis, M. (2010). Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty. Earthquake Engineering and Structural Dynamics, 39(2), 141–163.Google Scholar
  28. Whittaker, A. S., Bertero, V. V., Alonso, L. J., & Thompson, C. L. (1989) Earthquake simulator testing of steel plate added damping and stiffness elements. Report UCB/EERC-89/02. Engineering Research Center, University of California at Berkeley.Google Scholar

Copyright information

© Korean Society of Steel Construction 2018

Authors and Affiliations

  1. 1.Department of Architectural EngineeringUniversity of SeoulSeoulKorea

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