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Intensity measures for the seismic response prediction of base-isolated buildings

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Abstract

Base isolation has become a widely applied technique for protecting buildings located in highly seismic areas. Due to the strongly non-linear constitutive behaviour typical of many isolation devices, the seismic response of base-isolated buildings is usually evaluated through non-linear dynamic analysis. In this type of analysis a suitable set of ground motions is needed for representing the earthquake loads and for exciting the structural model. Many methods can be found in the literature for defining the ground motions. When natural accelerograms are used, the methods mainly differ from each other based on the intensity measures used for scaling the records to the defined earthquake intensity level. Investigations have been carried out for evaluating the predictive capability of the intensity measures used in these methods: while many studies focused on ordinary buildings, only a few focused on base-isolated ones. The objective of this paper is to evaluate the most commonly used intensity measures, which are currently available in the literature, with respect to their capability to predict the seismic response of base-isolated buildings. Selected for the investigation are two frame structures characterized by a different number of storeys and base-isolated with systems having different properties. Two sets of accelerograms, consisting of ordinary and pulse-like near-fault records, are used in the analyses and in the evaluation of the intensity measures. Modified versions of existing intensity measures are also proposed, with the intent of improving the correlations between the considered intensity measures and response quantities.

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Abbreviations

IM:

Intensity measure

EDP:

Engineering demand parameter

PGA:

Peak ground acceleration

AI:

Arias intensity

CAV:

Cumulative absolute velocity

\(\text{ I}_{\mathrm{a}}\) :

Compound acc.-related IM

\(\text{ I}_{\mathrm{c}}\) :

Characteristic intensity

PGV:

Peak ground velocity

FI:

Fajfar intensity

\(\text{ I}_{\mathrm{v}}\) :

Compound vel.-related IM

CAD:

Cumulative absolute displacement

IV:

Incremental velocity

SED:

Specific energy density

PGD:

Peak ground displacement

\(\text{ I}_{\mathrm{d}}\) :

Compound disp.-related IM

ID:

Incremental displacement

\(\text{ S}_{\mathrm{a}}\) :

Spectral acceleration at isolation period

\(\text{ E}_{\mathrm{Ir}}\) :

Relative input energy at isolation period

\(\text{ E}_{\mathrm{Ia}}\) :

Absolute input energy at isolation period

ASI:

Acceleration spectrum intensity

VSI:

Velocity spectrum intensity

\(\text{ I}_{\mathrm{H}}\) :

Housner intensity

\(\text{ V}_{\mathrm{EIr}}\)SI:

Relative input equivalent velocity spectrum intensity

\(\text{ V}_{\mathrm{EIa}}\)SI:

Absolute input equivalent velocity spectrum intensity

MASI:

Modified ASI

MVSI:

Modified VSI

\(\text{ MI}_{\mathrm{H}}\) :

Modified \(\text{ I}_{\mathrm{H}}\)

\(\text{ MV}_{\mathrm{EIr}}\)SI:

Modified \(\text{ V}_{\mathrm{EIr}}{\mathrm{SI}}\)

\(\text{ MV}_{\mathrm{EIa}}\)SI:

Modified \(\text{ V}_{\mathrm{EIa}}{\mathrm{SI}}\)

MIDR:

Maximum inter-story drift ratio

MRDR:

Maximum roof drift ratio

MFA:

Maximum floor acceleration

MBD:

Maximum bearing displacement

References

  • Anderson JC, Bertero VV (1987) Uncertainties in establishing design earthquakes. J Struct Eng 113(8): 1709–1724

    Google Scholar 

  • Araya R, Saragoni GR (1980) Capacidad de los movimientos de producir daño estructral. Publication SES I 7/80 (in Spanish), Division of Structural Engineering, Department of Engineering, University of Chile, Santiago

  • Arias A (1970) A measure of earthquake intensity. In: Hansen RJ (ed) Seismic design for nuclear power plants. MIT, Cambridge, MA, pp 438–483

  • Asgarian B, Nojoumi RM, Alanjari P (2012) Performance-based evaluation of tall buildings using advanced intensity measures (case study: 30-story steel structure with framed-tube system). Struct Des Tall Special Build. doi:10.1002/tal.1023

  • Avşar Ö, Özdenmir G (2011) Response of seismic-isolated bridges in relation with intensity measures of ordinary and pulse-like ground motions. J Bridge Eng. doi:10.1061/(ASCE)BE.1943-5592.0000340

  • Baker JW, Cornell CA (2005) A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon. Earthq Eng Struct Dyn 34(10):1193–1217

    Article  Google Scholar 

  • Baker JW (2007) Quantitative classification of near-fault ground motions using wavelet analysis. Bull Seismol Soc Am 97(5):1486–1501

    Article  Google Scholar 

  • Bianchini M, Diotallevi PP, Baker JW (2009) Prediction of inelastic structural response using an average of spectral accelerations. In 10th international conference on structural safety and reliability (ICOSSAR09), 13–17 Sep, Osaka, Japan

  • Cordova PP, Deirlein GG, Mehanny SSF, Cornell CA (2000) Development of a two-parameter seismic intensity measure and probabilistic assessment procedure. In: Proceedings of the 2nd US-Japan workshop on performance-based earthquake engineering of reinforced concrete Building Structures, 11–13 September, Sapporo, Hokkaido, Japan.

  • Cornell CA (1970) Probability, statistics, and decision for civil engineers. McGraw-Hill, New York, pp 684

  • 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(4):526–533

    Article  Google Scholar 

  • Cornell CA, Krawinkler H (2000) Progress and challenges in seismic performance assessment. PEER Center News 3(2)

  • Decanini LD, Mollaioli F (2001) An energy-based methodology for the assessment of seismic demand. Soil Dyn Earthq Eng 21:113–137

    Article  Google Scholar 

  • Decanini LD, Mollaioli F (1998) Formulation of elastic earthquake input energy spectra. Earthq Eng Struct Dyn 27:1503–1522

    Article  Google Scholar 

  • Decreto Ministero (DM) dei Lavori Pubblici 16/01/1996 (1996) Norme Tecniche per le Costruzioni in Zone Sismiche (in Italian). Italian Ministry of Public Works, Rome, Italy

  • Electrical Power Research Institute (EPRI) (1988) A criterion for determining exceedence of the operating basis earthquake. EPRI NP-5930, EPRI, Palo Alto, CA

  • Fajfar P, Vidic T, Fischinger M (1990) A measure of earthquake motion capacity to damage medium-period structures. Soil Dyn Earthq Eng 9(5):236–242

    Article  Google Scholar 

  • Housner GW (1952) Spectrum intensities of strong motion earthquakes. Proceedings of symposium of earthquake and blast effects on structures, EERI, Los Angeles, California, In, pp 21–36

  • Jangid RS, Kelly JM (2001) Base isolation for near-fault motions. Earthq Eng Struct Dyn 30(5):691–707

    Article  Google Scholar 

  • Jayaram N, Mollaioli F, Bazzurro P, De Sortis A., Bruno S (2010) Prediction of structural response of reinforced concrete frames subjected to earthquake ground motions. In: 9th US National and 10th Canadian Conference on Earthquake Engineering, pp 428–437, 25–29 July, Toronto, Canada

  • Kalkan E, Kunnath SK (2007) Effective cyclic energy as a measure of cyclic demand. J Earthquake Eng 11(5):725-751

    Google Scholar 

  • Kalkan E, Kunnath SK (2008) Relevance of absolute and relative energy content in seismic evaluation of structures. Adv Struct Eng 11(1):17–34

    Google Scholar 

  • Lucchini A, Mollaioli F, Monti G (2011a) Intensity measures for response prediction of a torsional building subjected to bi-directional earthquake ground motion. Bull Earthquake Eng 9(5):1499–1518

    Google Scholar 

  • Lucchini A, Mollaioli F, Monti G, Kunnath S (2011b) Seismic response of asymmetric RC frames subjected to bi-directional ground motions. In: Proceedings of fib syposium on concrete engineering for excellence and efficiency. Czech Republic, Prague, June, pp 8–10

  • Luco L, Manuel L, Bazzurro P (2005) Correlation of damage of steel moment-resisting frames to a vector-valued ground motion parameter set that includes energy demands. Report prepared for U.S.G.S., Grant No. 03HQGR0057, February

  • Mackie K, Stojadinovic B (2003) Seismic demands for performance-based design of bridges. PEER Report. http://peer.berkeley.edu/publications/peer_reports/reports_2003/reports_2003.html

  • Moehle J, Deierlein GG (2004) A framework methodology for performance-based earthquake engineering. In: Proceedings of the 13th World conference on earthquake engineering, 1–6 Aug . Vancouver, Canada, pp 679

  • Narasimhan S, Wang M, Pandey MD (2009) Principal component analysis for predicting the response of nonlinear base-isolated buildings. Earthq Spectra 25(1):93–115

    Article  Google Scholar 

  • Nau JM, Hall WJ (1984) Scaling methods for earthquake spectra. J Struct Eng 110:1533–1548

    Article  Google Scholar 

  • Open System for Earthquake Engineering Simulation Version 2.2.2 (OpenSees 2.2.2) (2010) Pacific earthquake engineering research center. http://opensees.berkeley.edu

  • Pacific Earthquake Engineering Research (PEER) (2005) Next Generation Attenuation (NGA) project.http://peer.berkeley.edu/nga/

  • Park YJ, Ang AHS, Wen YK (1985) Seismic damage analysis of reinforced concrete buildings. J Struct Eng 111(4):740–757

    Article  Google Scholar 

  • Riddell R, Garcia J (2001) Hysteretic energy spectrum and damage control. Earthq Eng Struct Dyn 30(12):1791–1816

    Article  Google Scholar 

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

    Google Scholar 

  • Ryan KL, Chopra AK (2004b) Estimating the seismic displacement of friction pendulum isolators based on non-linear response history analysis. Earthq Eng Struct Dyn 33(3):359–373

    Article  Google Scholar 

  • Tothong P, Luco N (2007) Probabilistic seismic demand analysis using advanced ground motions intensity measures. Earthq Eng Struct Dyn 36(13):1837–1860

    Article  Google Scholar 

  • Uang CM, Bertero VV (1990) Evaluation of seismic energy in structures. Earthq Eng Struct Dyn 19(1):77–90

    Article  Google Scholar 

  • Von Thun JL, Roehm LH, Scott GA, Wilson JA (1988) Earthquake ground motions for design and analysis of dams. In: Proceedings of the earthquake engineering and soil dynamics II-recent advances in ground motion evaluation, Geotechnical Special Publication, ASCE, New York, pp 463–481

  • Yakut A, Yilmaz H (2008) Correlation of deformation demands with ground motion intensity. J Struct Eng 134(12):1818–1828

    Article  Google Scholar 

  • Yang D, Pan J, Li G (2009) Non-structure-specific intensity measure parameters and characteristic period of near-fault ground motions. Earthq Eng Struct Dyn 38(11):1257–1280

    Article  Google Scholar 

Download references

Acknowledgments

The financial support of both the Italian Ministry of the Instruction, University and Research (MIUR) and the Italian Network of University Laboratories of Seismic Engineering (ReLUIS) is gratefully acknowledged

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Correspondence to Andrea Lucchini.

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Mollaioli, F., Lucchini, A., Cheng, Y. et al. Intensity measures for the seismic response prediction of base-isolated buildings. Bull Earthquake Eng 11, 1841–1866 (2013). https://doi.org/10.1007/s10518-013-9431-x

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