Bulletin of Earthquake Science and Engineering

Bulletin of Earthquake Science and Engineering

Hysteretic Damping Capacity of Steel Moment-Resisting Frames in Life Safety Performance Level Required in Direct Displacement-Based Design Method

Document Type : Articles

Authors
Reza Esmaeil Abadi 1
Omid Bahar 2
Armin Aziminezhad 1
1 Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 Structural Engineering Research Center, International Institute of Earthquake Engineering and Seismology (IIEES), Tehran, Iran
Abstract
In recent years, interests in utilizing performance-based design to achieve earthquake-resistant structures have grown. One of a robust procedure in this category, which is presented in 1993 by Prof. Priestley, is Direct Displacement-Based Design (DDBD) method. Extensive and developed researches have shown that DDBD has a great potential to overcome existing shortcomings of the force-based design method. During last decade, DDBD, which was initially proposed for designing RC buildings and bridge piers, are developed for steel structures. DDBD has two main factors: hysteretic damping capacity and yield displacement of the building. Accurate estimation of these parameters is very important to determine proper value of design base shear of the building under consideration. These factors were firstly estimated experimentally for concrete structures but now, they are intensely studied analytically by many researchers for various forms of steel structures. In this regard, this paper attempts to consider more realistic estimation of equivalent viscous damper capacity of moment resisting steel frame structures and its influence on determined base shear values.
In this paper, 30 different moment-resisting frames with various numbers of stories (3, 6, 9, 12 and 15) and spans (3 and 6) are studied. For each frame, different analysis methods are carried out: (1) nonlinear static or pushover analysis, (2) nonlinear time history analysis employing synthetic accelerograms, (3) nonlinear time history analysis employing two sinusoidal protocols with different excitation frequencies: initial and effective frequencies, (5) nonlinear static cyclic analysis using an incremental sinusoidal displacement protocol, (6) simple linear analysis of an equivalent single-degree-of-freedom (SDOF) model of the structure subjected to a sinusoidal load, and finally (7) the proposed relation in the Model Code for the Displacement-Based Seismic Design of Structures, DBD12. Comparing the results shows that the equivalent damping ratio obtained using DBD12 relation for life-safety (LS) level is significantly lower than the values obtained by the analyses conducted in this study. This means that the determined base shear for designing such steel building is much more than values for a safe building. In other words, steel buildings using relations of DBD12 tend to be stiffer and stronger than needed. Hence, a new relation is derived to determine the hysteretic damping of MR steel frame structures in the LS performance level as a function of a ductility coefficient. Furthermore, using the relationship between the initial and effective period mentioned in ATC40, another practical relationship is proposed as a ratio of the effective period over the initial period of the considered building.
Keywords
Direct Displacement-Based Design (DDBD) Method
Equivalent Viscous Damping
Nonlinear Static Analysis
Effective Period
Sinusoidal Loading Protocol
  1. Priestley, M.J.N. (1993) Myths and fallacies in earthquake engineering – conflicts between design and reality. Bulletin NZSEE, 26(3), 329-341.
  2. Shibata, A. and Sozen, M. (1976) Substitute structure method for seismic design in reinforce concrete. ASCE Journal of Structure Engineering, 102(1), 1-18.
  3. Priestley, M.J.N., Calvi, G.M., and Kowalsky M.J. (2007) Displacement-based Seismic Design of Structures. IUSS Press, Pavia. ISBN: 978-88-6198-000-6.
  4. Wijesundara, K.K., Nascimbene, R., and Sullivan, T.J. (2011) Equivalent viscous damping for steel concentrically braced frame structures. Bull. Earthq. Eng., 9(5), 1535-1558.
  5. Blandon, C.A. (2004) Equivalent Viscous Damping Equations for Direct Displacement Based Design. A disseration submitted in partial fulfilment of the requirement for the master degree in earthquake engineering.
  6. Nievas, C.I. and Sullivan, T.J. (2015) Applicability of the direct displacement-based design
  7. method to steel moment resisting frames with setbacks. Bulletin of Earthquake Engineering, 13, 3841–3870, DOI 10.1007/s10518-015-9787-1.
  8. Calvi, G.M., Priestley, M.J., and Sullivan, T.J. (2012) A Model Code for the Displacement-Based Seismic Design of Structures (DBD12). ISBN: 978-88-6198-072-3.
  9. Aschheim, M. (2002) Seismic design based on the yield displacement. Earthquake Spectra, 18(4), 581–600, Earthquake Engineering Research Institute.
  10. EuroCode 8 (1988) Structures in Seismic Regions – Design Part 1. General and Building. Report EUR 8849 EN, Commission of European Communities.
  11. Eurocode 8 (2011) Seismic Design of Buildings. Lisbon, 10-11 February.
  12. Bahar, O. and Gozasht, F. (2015) Seismic evaluation of regular MR steel frame designed by direct displacement based method. Bulletin of Earthquake Science and Engineering, International Institute of Earthquake Engineering and Seismology (IIEES), 2(2) (in Persian).
  13. Elnashai, A.S. and Di Sarno, L. (2008) Fundamentals of Earthquake Engineering. Chichester, UK: Wiley.
  14. Anil K. Chopra (2011) Dynamics of Structures: Theory and Applications to Earthquake Engineering. Fourth edition.
  15. Roldan, R., Sullivan, T.J., and Della Corte, G. (2016) Displacement-based design of steel moment resisting frames with partially-restrained beam- to-column joints. Bulletin of Earthquake Engineering, 14(4), 1017-1046.
  16. Barati, P. and Bahar, O. (2014) Comparison of simple steel frames with concentric braces designed by both performance and force-base methods. First International Conference on Urban Development based on New Technologies & 4th National Conference on Urban Development, Islamic Azad University, Sanandaj branch, IRAN [in Persian].
  17. Arkavazi, F. and Bahar, O. (2014) Comparison of force-base design and direct displacement based method to evaluate EBF steel frame’s behavior. First International Conference on Urban Development based on New Technologies and 4th National Conference on Urban Development, held at the Islamic Azad University, Sanandaj branch, IRAN (in Persian).
  18. Mahmoudi, M.R. and Bahar, O. (2013) Design of Steel Structures Steel Shear Walls Direct Method Based on Displacement. M.Sc. Thesis, Kermanshah Branch, Islami Azad University (in Persian).
  19. Yahyai, M. and Rezayibana, B. (2015) Direct displacement-based design of special concentrically-braced frames in near-fault regions. Bulletin of Earthquake Engineering, 13, 2945-2971.
  20. Dwairi, H.M. (2004) Equivalent Damping in Support of Direct Displacement-Based Design and Applications to Multi-Span Bridges. Ph.D. Thesis, North Carolina State University, Raleigh, NC.
  21. Dwairi, H.M., Kowalsky, M.J., and Nau, J.M. (2007) Equivalent damping in support of direct displacement-based design. Journal of Earthquake Engineering, 11, 512-530.
  22. INBC (2013) Iranian National Building Code, Part 10 (Steel Building Design and Construction), Tehran (in Persian).
  23. Standard No. 2800 (2015) Iranian Code of Practice for Seismic Resistant Design of Buildings. 4th Revision, Building & Housing Research Center, Iran (in Persian).
  24. Dimopoulos, A.I., Bazeos, N., and Beskos, D.E. (2012) Seismic yield displacements of plan moment resisting and x-braced steel frames. Soil Dynamics and Earthquake Engineering, 41, 128-140.
  25. Kaffashian, M. and Bahar, O. (2006) Evaluation of the Dynamic Nonlinear Behavior of Concrete Structures Designed by DDBD and Forced-Based Standard-2800. M.Sc. Thesis, International Institute of Earthquake Engineering & Seismology (IIEES), Tehran, Iran (in Persian).
  26. FEMA 356 (2000) Washington (DC): Federal Emergent Management Agency, November 2000.
  27. ATC-40 (1996) Seismic Evaluation and Retrofit of Concrete Building. Applied Technology Council, Redwood City, California.
  28. FEMA 440 (2005) Improvement of Nonlinear Static Seismic Analysis Procedures.
  29. Powell, G.H. (2013) Static pushover methods - explanation, comparison and implementation. Retrieved from https://wiki.csiamerica.com.
  30. Esmaeilabadi, R. and Bahar, O. (2016) Improving the Parameters of Directly Displacement-Based Design in Steel Moment Resisting Frames. Ph.D. Thesis, Science and Research Branch, Islamic Azad University., Tehran, Iran.
  31. Gasparini, D., and Vanmarcke, E.H. (1976) SIMQKE: A Program for Artificial Motion Generation. Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA.

  • Receive Date 14 August 2016
  • Revise Date 22 February 2021
  • Accept Date 26 December 2020