Skip to main content
SpringerLink
Log in

A posteriori optimal intensity measures for probabilistic seismic demand modeling

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

Abstract

A probabilistic seismic demand modeling approach with the optimal intensity measure (IM) parameters determined a posteriori (POS-PSDM) is employed to examine and compare the full potential of the explanatory power of different IM formulations. A total of six IM formulations adopting the optimal IM parameters determined a posteriori (i.e. POS-IMs) are studied, including two spectral IMs with the optimal period T*, two fractional order IMs with the optimal fractional order α*, as well as two spectral IMs with the optimal period T* and the optimal damping ratio ζ*. A comprehensive IM comparative study is conducted based on hysteretic single-degree-of-freedom systems, considering a wide range of structural parameters. The POS-IMs manifest substantially improved performance (i.e. efficiency and sufficiency) compared with their conventional counterparts, revealing the value of adopting this POS-PSDM approach to ensure the PSDM predictive performance. In particular, the spectral acceleration at the optimal period and damping ratio, Sa(T*,ζ*), which is introduced as an IM candidate for the first time, not only consistently demonstrates superior explanatory power but also exhibits fairly good hazard computability. The POS-PSDM approach in conjunction with Sa(T*,ζ*) exhibits good potential in further improving the accuracy and reliability of probabilistic seismic risk assessment with negligible increase in computation cost.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

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

  • Akkar S, Bommer JJ (2007) Prediction of elastic displacement response spectra in Europe and the Middle East. Earthq Eng Struct Dyn 36:1275–1301

    Article  Google Scholar 

  • Akkar S, Özen Ö (2005) Effect of peak ground velocity on deformation demands for SDOF systems. Earthq Eng Struct Dyn 34:1551–1571

    Article  Google Scholar 

  • Akkar S, Sandıkkaya M, Ay B (2014) Compatible ground-motion prediction equations for damping scaling factors and vertical-to-horizontal spectral amplitude ratios for the broader Europe region. Bull Earthq Eng 12:517–547

    Article  Google Scholar 

  • Ancheta TD et al (2014) NGA-West2 database. Earthq Spectra 30:989–1005

    Article  Google Scholar 

  • Atkinson GM, Pierre J-R (2004) Ground-motion response spectra in eastern North America for different critical damping values. Seismol Res Lett 75:541–545

    Article  Google Scholar 

  • Baker JW, Cornell CA (2006) Spectral shape, epsilon and record selection. Earthq Eng Struct Dyn 35:1077–1095

    Article  Google Scholar 

  • Baker JW, Cornell CA (2008) Vector-valued intensity measures incorporating spectral shape for prediction of structural response. J Earthq Eng 12:534–554

    Article  Google Scholar 

  • Baker JW, Jayaram N (2008) Correlation of spectral acceleration values from NGA ground motion models. Earthq Spectra 24:299–317

    Article  Google Scholar 

  • Bianchini M, Diotallevi P, Baker J (2009) Prediction of inelastic structural response using an average of spectral accelerations. In: 10th international conference on structural safety and reliability (ICOSSAR09)

  • Bojorquez E, Iervolino I (2011) Spectral shape proxies and nonlinear structural response. Soil Dyn Earthq Eng 31:996–1008

    Article  Google Scholar 

  • Cameron WI, Green RA (2007) Damping correction factors for horizontal ground-motion response spectra. B Seismol Soc Am 97:934–960

    Article  Google Scholar 

  • Caputo M (1967) Linear models of dissipation whose Q is almost frequency independent—II. Geophys J Int 13:529–539

    Article  Google Scholar 

  • Cauzzi C, Faccioli E (2008) Broadband (0.05 to 20 s) prediction of displacement response spectra based on worldwide digital records. J Seismol 12:453

    Article  Google Scholar 

  • Chen Y, Yu Y-X (2008) The development of attenuation relations in the rock sites for periods (T = 0.04 ~ 10 s, ξ = 0.05) based on NGA database. In: Proceedings of fourteenth world conference on earthquake engineering

  • Cordova PP, Deierlein GG, Mehanny SS, Cornell CA (2000) Development of a two-parameter seismic intensity measure and probabilistic assessment procedure. In: The second US-Japan workshop on performance-based earthquake engineering methodology for reinforced concrete building structures, pp 187–206

  • Cornell CA, Krawinkler H (2000) Progress and challenges in seismic performance assessment. Peer Center News 20:130–139

    Google Scholar 

  • Cornell CA, Jalayer F, Hamburger RO, Foutch DA (2002) Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines. J Struct Eng 128:526–533

    Article  Google Scholar 

  • De Biasio M, Grange S, Dufour F, Allain F, Petre-Lazar I (2014) A simple and efficient intensity measure to account for nonlinear structural behavior. Earthq Spectra 30:1403–1426

    Article  Google Scholar 

  • Deierlein G, Krawinkler H, Cornell C (2003) A framework for performance-based earthquake engineering. In: Pacific conference on earthquake engineering. Citeseer, pp 1–8

  • Du A, Padgett JE, Shafieezadeh A (2018) Adaptive IMs for improved seismic demand modeling of highway bridge portfolios. In: The 11th national conference in earthquake engineering, Los Angeles, CA

  • Eads L, Miranda E, Lignos DG (2015) Average spectral acceleration as an intensity measure for collapse risk assessment. Earthq Eng Struct Dyn 44:2057–2073

    Article  Google Scholar 

  • Ebrahimian H, Jalayer F, Lucchini A, Mollaioli F, Manfredi G (2015) Preliminary ranking of alternative scalar and vector intensity measures of ground shaking. Bull Earthq Eng 13:2805–2840

    Article  Google Scholar 

  • Giovenale P, Cornell CA, Esteva L (2004) Comparing the adequacy of alternative ground motion intensity measures for the estimation of structural responses. Earthq Eng Struct Dyn 33:951–979

    Article  Google Scholar 

  • Goda K, Atkinson GM (2009) Probabilistic characterization of spatially correlated response spectra for earthquakes in Japan. B Seismol Soc Am 99:3003–3020

    Article  Google Scholar 

  • Gulkan P, Sozen MA (1974) Inelastic responses of reinforced concrete structure to earthquake motions. J Proc 71:604–610

    Google Scholar 

  • Hatzigeorgiou GD (2010) Damping modification factors for SDOF systems subjected to near-fault, far-fault and artificial earthquakes. Earthq Eng Struct Dyn 39:1239–1258

    Article  Google Scholar 

  • Hubbard DT, Mavroeidis GP (2011) Damping coefficients for near-fault ground motion response spectra. Soil Dyn Earthq Eng 31:401–417

    Article  Google Scholar 

  • Iwan W (1980) Estimating inelastic response spectra from elastic spectra. Earthq Eng Struct Dyn 8:375–388

    Article  Google Scholar 

  • Jalayer F, Beck J, Zareian F (2011) Analyzing the sufficiency of alternative scalar and vector intensity measures of ground shaking based on information theory. J Eng Mech 138:307–316

    Article  Google Scholar 

  • Kale Ö, Padgett JE, Shafieezadeh A (2017) A ground motion prediction equation for novel peak ground fractional order response intensity measures. Bull Earthq Eng 15:3437–3461

    Article  Google Scholar 

  • Kowalsky MJ (1994) Displacement-based design-a methodology for seismic design applied to RC bridge columns. Master Thesis, University of California at San Diego, La Jolla, California

  • Lin Y-Y, Chang K-C (2004) Effects of site classes on damping reduction factors. J Struct Eng 130:1667–1675

    Article  Google Scholar 

  • Loh CH, Ho RC (1990) Seismic damage assessment based on different hysteretic rules. Earthq Eng Struct Dyn 19:753–771

    Article  Google Scholar 

  • Luco N, Cornell CA (2007) Structure-specific scalar intensity measures for near-source and ordinary earthquake ground motions. Earthq Spectra 23:357–392

    Article  Google Scholar 

  • Mahin SA, Lin J (1983) Construction of inelastic response spectra for single-degree-of-freedom systems. Rep No UCB/EERC-83 17

  • Miranda E (1993) Site-dependent strength-reduction factors. J Struct Eng 119:3503–3519

    Article  Google Scholar 

  • Mollaioli F, Liberatore L, Lucchini A (2014) Displacement damping modification factors for pulse-like and ordinary records. Eng Struct 78:17–27

    Article  Google Scholar 

  • 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 37:711–725

    Article  Google Scholar 

  • Priestley M, Calvi GM, Kowalsky MJ (2007) Displacement-based seismic design of structures. IUSS Press, Pavia

    Google Scholar 

  • Rezaeian S, Bozorgnia Y, Idriss I, Campbell K, Abrahamson N, Silva W (2012) Spectral damping scaling factors for shallow crustal earthquakes in active tectonic regions. Pacific Earthquake Engineering Research Center, Berkeley

    Google Scholar 

  • Riddell R (2007) On ground motion intensity indices. Earthq Spectra 23:147–173

    Article  Google Scholar 

  • Riddell R, Hidalgo P, Cruz E (1989) Response modification factors for earthquake resistant design of short period buildings. Earthq Spectra 5:571–590

    Article  Google Scholar 

  • Rosenblueth E, Herrera I (1964) On a kind of hysteretic damping. J Eng Mech Div 90:37–48

    Google Scholar 

  • Shafieezadeh A, Ramanathan K, Padgett JE, DesRoches R (2012) Fractional order intensity measures for probabilistic seismic demand modeling applied to highway bridges. Earthq Eng Struct Dyn 41:391–409

    Article  Google Scholar 

  • Shome N (1999) Probabilistic seismic demand analysis of nonlinear structures. Stanford University, Stanford

    Google Scholar 

  • Stafford PJ, Mendis R, Bommer JJ (2008) Dependence of damping correction factors for response spectra on duration and numbers of cycles. J Struct Eng 134:1364–1373

    Article  Google Scholar 

  • Vamvatsikos D, Cornell CA (2005) Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information. Earthq Eng Struct Dyn 34:1573–1600

    Article  Google Scholar 

  • Xue D, Zhao C, Chen Y (2006) A modified approximation method of fractional order system. In: Proceedings of the 2006 IEEE international conference on mechatronics and automation. IEEE, pp 1043–1048

Download references

Acknowledgements

The insightful and helpful reviews of this manuscript from two anonymous reviewers are gratefully appreciated. The authors would like to acknowledge the support for this research by the National Science Foundation (NSF) through Grants CMMI-1462177 and CMMI-1462183. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors would also like to acknowledge the computational facilities provided by the Data Analysis and Visualization Cyberinfrastructure under NSF Grant OCI-0959097, the Big-Data Private-Cloud Research Cyberinfrastructure MRI-award under NSF Grant CNS-1338099 and Rice University.

Author information

Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Rice University, MS-318, 6100 Main St., Houston, TX, 77005, USA

    Ao Du & Jamie E. Padgett

  2. Department of Civil, Environmental and Geodetic Engineering, The Ohio State University, Columbus, OH, 43210, USA

    Abdollah Shafieezadeh

Authors
  1. Ao Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jamie E. Padgett
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Abdollah Shafieezadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jamie E. Padgett.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (DOCX 23 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Du, A., Padgett, J.E. & Shafieezadeh, A. A posteriori optimal intensity measures for probabilistic seismic demand modeling. Bull Earthquake Eng 17, 681–706 (2019). https://doi.org/10.1007/s10518-018-0484-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-018-0484-8

Keywords

Search

Navigation