Skip to main content
Log in

Optimal design of isolation devices for mid-rise steel moment frames using performance based methodology

  • Original Research Paper
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

This paper develops and applies the performance-based analysis and design methodology to assess the seismic vulnerability of mid-rise steel moment frame structures and to optimally design the isolation devices to reduce the direct losses due to earthquake damages. An isolated steel moment frame, originally tested in the 2011 E-Defense blind prediction contest, is selected and modeled in detail. The numerical model and the predicted seismic responses of the structure are validated against the full-scale shaking table test results. Subsequently, the fragility functions are derived for the structure when subject to near-fault ground motions exhibiting distinctive acceleration or velocity pulses and far-field motions with less impulsive characteristics. To quantify the system level damage states of the building, the concept of total loss ratio (TLR) is applied as the performance index to account for the direct loss due to structural, non-structural and isolation components in relation to the total repair cost of the original structure. The TLR considers the failure probability (as defined by fragility functions), the damage percentage and related cost for each damage state. Finally, among various isolation designs, the optimal configuration is derived for cases with the minimum TLR. It is shown that the optimal design can reduce the TLR up to 90% of that of the un-isolated structure and it also outperforms the adopted design in the test program. The study demonstrates a systematic way of achieving the optimal isolation design with considerations of uncertainties in earthquake inputs and the combined structural and non-structural damages.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • ASCE (2010) ASCE 7-10 minimum design loads for buildings and other structures. American Society of Civil Engineers, Reston

    Google Scholar 

  • Aslani H, Miranda E (2005) Probabilistic earthquake loss estimation and loss disaggregation in buildings. Technical Report No. 157, The John A. Blume Earthquake Engineering Center, Stanford University, Stanford

  • ATC (1996) ATC-40 seismic evaluation and retrofit of concrete buildings. SSC 96-01, Seismic Safety Commission, Project 40, Applied Technology Council, Redwood City

  • ATC (2012) ATC-58 seismic performance assessment of buildings. FEMA P-58, Applied Technology Council, Redwood City

  • Bai JW, Hueste MB, Gardoni P (2009) Probabilistic assessment of structural damage due to earthquakes for buildings in mid-America. J Struct Eng ASCE 135(10):1155–1163

    Article  Google Scholar 

  • Blind Analysis Contest (2011) Numerical prediction of shaking table test of 5-story steel frame with and without base isolation. http://www.cuee.titech.ac.jp/contest/

  • Bouc R (1971) Modele mathematique d’hysteresis. Acustica 24:16–25

    Google Scholar 

  • Casciati F (1989) Stochastic dynamics of hysteretic media. Struct Safety 6(2–4):259–269

    Article  Google Scholar 

  • Dao ND, Ryan KL (2014) Computational simulation of a full-scale, fixed-base, and isolated-base steel moment frame building tested at E-Defense. J Struct Eng ASCE Spec Issue Comput Simul Struct Eng 140:A4014005

    Article  Google Scholar 

  • Dao ND, Ryan KL, Sato E, Sasaki T (2013) Predicting the displacement of triple pendulum bearings in a full scale shaking experiment using a three-dimensional element. Earthquake Eng Struct Dyn 42(11):1677–1695

    Article  Google Scholar 

  • Dhakal RP, Mander JB (2006) Financial risk assessment methodology for natural hazards. Bull N Z Soc Earthq Eng 39(2):91–105

    Google Scholar 

  • Fajfar P, Gašperšič P (1996) The N2 method for the seismic damage analysis of RC buildings. Earthq Eng Struct Dyn 25:31–46

    Article  Google Scholar 

  • FEMA (1997a) FEMA 273 NEHRP guidelines for seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington

    Google Scholar 

  • FEMA (1997b) FEMA 274 NEHRP commentary on the guidelines for seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington

    Google Scholar 

  • FEMA (2003) Multi-hazard loss estimation methodology—earthquake model. HAZUS-MH MR4 Technical Manual, Federal Emergency Management Agency, Washington

  • Fenz DM, Constantinou MC (2008) Modeling triple friction pendulum bearings for response-history analysis. Earthq Spectra 24(4):1011–1028

    Article  Google Scholar 

  • Graf WP, Lee Y (2009) Code-oriented damage assessment for buildings. Earthq Spectra 25(1):17–37

    Article  Google Scholar 

  • Hall JF, Heaton TH, Halling MW, Wald DJ (1995) Near-source ground motion and its effects on flexible buildings. Earthq Spectra 11:569–605

    Article  Google Scholar 

  • Haselton CB, Goulet CA, Mitrani-Reiser J, Beck JL, Deierlein GG, Porter KA, Stewart JP, Taciroglu E (2007) An assessment to benchmark the seismic performance of a code-conforming reinforced concrete moment-frame building. PEER Report 07/12, Pacific Earthquake Engineering Research Center, University of California, Berkeley

  • Ji X, Hikino T, Kasai K, Nakashima M (2013) Damping identification of a full-scale passively controlled five-story steel building structure. Earthq Eng Struct Dyn 42(2):277–295

    Article  Google Scholar 

  • Kalpakidis IV, Constantinou M, Whittaker A (2010) Modeling strength degradation in lead-rubber bearing under earthquake shaking. Earthquake Eng Struct Dyn 39(13):1533–1549

    Article  Google Scholar 

  • Kasai K, Hikino T, Ito H, Ooki Y, Motoyui S, Kato F, Baba Y (2011) Overall test outline and response of building without dampers. 3D shake table tests on full scale 5-story steel building with dampers, part 1. J Struct Constr Eng AIJ 76(663):997–1006 (in Japanese)

    Article  Google Scholar 

  • Kelly JM (1986) Aseismic base isolation: review and bibliography. Soil Dyn Earthq Eng 5(3):202–216

    Article  Google Scholar 

  • Kircher CA (2003) It makes dollars and sense to improve nonstructural system performance. In: ATC-29-2 proceedings of seminar on seismic design, performance, and retrofit of nonstructural components in critical facilities, Los Angeles, CA

  • Kumar M, Whittaker A, Constantinou M (2014) An advanced numerical model of elastomeric seismic isolation bearings. Earthq Eng Struct Dyn 43(13):1955–1974

    Article  Google Scholar 

  • Lafontaine M, Moroni O, Sarrazin M, Roschke P (2009) Optimal control of accelerations in a base-isolated building using magneto-rheological dampers and genetic algorithms. J Earthq Eng 13:1153–1171

    Article  Google Scholar 

  • Lee HJ, Yang GQ, Jung HJ, Spenser BF, Lee IW (2006) Semi-active neurocontrol of a base-isolated benchmark structure. Struct Control Health 13:682–692

    Article  Google Scholar 

  • Mackie KR, Stojadinović B (2005) Fragility basis for California highway overpass bridge seismic decision making. PEER Report 05/02, Pacific Earthquake Engineering Research Center, University of California, Berkeley

  • Mackie KR, Stojadinović B (2007) Performance-based seismic bridge design for damage and loss limits states. Earthq Eng Struct Dyn 36:1953–1971

    Article  Google Scholar 

  • Makris N, Vassiliou MF (2011) The existence of “complete similarities” in the response of seismic isolated structures subjected to pulse-like ground motions and their implications in analysis. Earthq Eng Struct Dyn 40:1103–1121

    Article  Google Scholar 

  • Makris N, Zhang J (2002) Structural characterization and seismic response analysis of a highway overcrossing equipped with elastomeric bearings and fluid dampers: a case study. PEER Report 02/17, Pacific Earthquake Engineering Research Center, University of California, Berkeley

  • Moon BY, Kang GJ, Kang BS, Kelly JM (2002) Design and manufacturing of fiber reinforced elastomeric isolator for seismic isolation. J Mater Process Technol 130–131:145–150

    Article  Google Scholar 

  • Naeim F, Kelly JM (1999) Design of seismic isolated structures: from theory to practice. Wiley, New York

    Book  Google Scholar 

  • Nielson BG, DesRoches R (2007) Seismic fragility methodology for highway bridges using a component level approach. Earthq Eng Struct Dyn 36(6):823–839

    Article  Google Scholar 

  • OpenSees (2017) Open system for earthquake engineering simulation. Pacific Earthquake Engineering Research (PEER) Center, University of California: Berkeley. http://opensees.berkeley.edu/

  • Padgett JE, Nielson BG, DesRoches R (2008) Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios. Earthq Eng Struct Dyn 37(5):711–725

    Article  Google Scholar 

  • Plotner SC, Babbitt C, Charest AC, Elsmore C, Gomes J (2016) Building construction costs with RSMeans Data 2017. R.S. Means data from GORDIAN

  • Porter KA (2003) An overview of PEER’s performance-based earthquake engineering methodology. In: Proceedings of ninth international conference on applications of statistics and probability in civil engineering, San Francisco, CA

  • Ryan K, Chopra A (2004) Estimation of seismic demands on isolators based on nonlinear analysis. J Struct Eng ASCE 130(3):392–402

    Article  Google Scholar 

  • Sabelli R, Mahin S, Chang C (2003) Seismic demands on steel braced frame buildings with buckling restrained braces. Eng Struct 25(5):655–666

    Article  Google Scholar 

  • Sayani PJ, Ryan KL (2009) Comparative evaluation of base-isolated and fixed-base buildings using a comprehensive response index. J Struct Eng ASCE 135(6):698–707

    Article  Google Scholar 

  • SEAOC (Structural Engineers Association of California) (1995) Vision 2000: performance-based seismic engineering of buildings, vols. I, II. Structural Engineers association of California, Sacramento

  • Shu Z, Li S, Sun X, He M (2017) Performance-based seismic design of a pendulum tuned mass damper system. J Earthq Eng. https://doi.org/10.1080/13632469.2017.1323042

    Google Scholar 

  • Skinner RI, Robinson WH, McVerry GH (1993) An introduction to seismic isolation. Wiley, Chichester

    Google Scholar 

  • Solberg KM, Dhakal RP, Mander JB, Bradley BA (2008) Computational and rapid expected annual loss estimation methodologies for structures. Earthq Eng Struct Dyn 37(1):81–101

    Article  Google Scholar 

  • Tang Y, Zhang J (2011) Response spectrum-oriented pulse identification and magnitude scaling of forward directivity pulses in near-fault ground motions. Soil Dyn Earthq Eng 31:59–76

    Article  Google Scholar 

  • Wen YK (1975) Approximate method for nonlinear random vibration. J Eng Mech ASCE 101(EM4):389–401

    Google Scholar 

  • Wen YK (1976) Method for random vibration of hysteretic systems. J Eng Mech ASCE 102(EM2):249–263

    Google Scholar 

  • Williams MS, Villemure I, Sexsmith RG (1997) Evaluation of seismic damage indices for concrete elements loaded in combined shear and flexure. ACI Struct J 94(3):315–322

    Google Scholar 

  • Yu Y, Tsai K, Weng Y, Lin B, Lin J (2010) Analytical studies of a full-scale steel building shaken to collapse. Eng Struct 32(10):3418–3430

    Article  Google Scholar 

  • Yu Y, Tsai K, Li C, Weng Y, Tsai C (2013) Earthquake response analyses of a full-scale five-story steel frame equipped with two types of dampers. Earthq Eng Struct Dyn 42(9):1301–1320

    Article  Google Scholar 

  • Yun S, Hamburger R, Cornell C, Foutch D (2002) Seismic performance evaluation for steel moment frames. J Struct Eng ASCE Spec Issue Steel Moment Frames After Northridge 128(Part II):534–545

    Google Scholar 

  • Zhang J, Huo Y (2009) Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method. Eng Struct 31(8):1648–1660

    Article  Google Scholar 

Download references

Acknowledgements

This research was partially funded by the following parties: (1) the National Science Foundation under the Grant CMMI-0830391, Joy Pauschke, program manager; (2) the National Natural Science Foundation of China (Grant No. 51708418). The financial support is greatly appreciated.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhan Shu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, J., Shu, Z. Optimal design of isolation devices for mid-rise steel moment frames using performance based methodology. Bull Earthquake Eng 16, 4315–4338 (2018). https://doi.org/10.1007/s10518-018-0321-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-018-0321-0

Keywords

Navigation