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Effect of spatial variability of seismic strong motions on long regular and irregular slab-girder RC bridges

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Abstract

Long bridges and other lifeline systems are particularly susceptible to the spatial variability of earthquake actions. Even though it is a matter that has been substantially studied in the past decades, there are still plenty of issues with the engineering application of earthquake spatial variability. One of the difficulties is generating displacement time-histories with zero initial and small residual displacement values. This is essential to obtain results that have good quality in terms of the pseudo-static effects. Another difficulty is the uncertainty associated with the simulation of the spatial variability of the seismic ground motions in engineering applications (Zerva et al. in: 16th European conference on earthquake engineering, Thessaloniki, 2018). In this study, the conditional method for simulation of spatially variable ground motions is used and the respective displacement time-histories are generated. These time-histories are then applied to perform seismic analysis of a set of long irregular RC bridges, with different irregularity layouts and different total lengths. The goal of this study is to ascertain the impact of spatial variability on the seismic behaviour of these structures, according to their length, irregularity and to the coherency model of the strong motions and comparing the results with the case without spatial variability. The relative importance between dynamic and pseudo-static effects is also ascertained for each case-study. Finally, the definition of the cases for whom the effects of the spatially variable seismic ground motions are more detrimental than those of the uniform ground motions.

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References

  • Abrahamson NA, Bolt BA (1985) The spatial variation of the phasing of seismic strong ground motion. Bull Seismol Soc Am 75(5):1247–1264

    Google Scholar 

  • Abrahamson NA, Bolt BA (1987) “Array analysis and synthesis mapping of strong seismic motion, Strong motion synthetics: computational techniques series. Academic Press, New York, pp 55–90

    Google Scholar 

  • Abrahamson NA, Bolt BA, Darragh RB, Penzien J, Tsai YB (1987) The SMART I accelerograph array (1980–1987): a review. Earthq Spectra 3(2):263–287

    Google Scholar 

  • Abrahamson NA (1985) Estimation of seismic wave coherency and rupture velocity using SMART 1 strong-motion array recordings. EERC Report No. UCB/EERC-85/02

  • Akbari R, Maalek S (2018) A review on the seismic behaviour of irregular bridges. Struct Build 171:552–580

    Google Scholar 

  • Bolt BA, Abrahamson NA, Yeh YT (1984) The variation of strong ground motion over short distances. In: Eigth world conference earthquake engineering, San Francisco, CA, USA

  • Bolt BA, Loh CH, Penzien J, Tsai YB, Yeh YT (1982) Preliminary report on the SMART 1 strong motion array in Taiwan. In: EERC Resport No. UCB/EERC-82/13

  • Boore DM, Bommer JJ (2005) Processing of strong-motion accelerograms: needs, options and consequences. Soil Dyn Earthq Eng 25:93–115

    Google Scholar 

  • Boore DM, Stephens CD, Joyner WB (2002) Comments on baseline correction of digital strong-motion data: examples from the 1999 Hector Mine, California, Earthquake. Bull Seismol Soc Am 92(4):1543–1560

    Google Scholar 

  • CEN, EN1998–1 (2005) Eurocode 8: Design of structures for earthquake resistance—Part 1: general rules, seismic actions and rules for buildings, CEN—European Committee for Standardisation

  • Cacciola P, Deodatis G (2011) A method for generating fully non-stationary and spectrum-compatible ground motion vector processes. Soil Dyn Earthq Eng 31:351–360

    Google Scholar 

  • Camacho VT, Lopes M, Oliveira CS (2020) Revising seismic behaviour factors for reinforced concrete bridge design in the longitudinal direction using multi-objective evolutionary algorithms. Bull Earthq Eng 18(3):925–951

    Google Scholar 

  • Cloh CH, Penzien J, Tsai YB (1982) Engineering analyses of SMART 1 array accelerograms. Earthq Eng Struct Dyn 10(4):575–591

    Google Scholar 

  • De Roeck G, Degrande G, Lombaert G, Müller G (2011) Spatial variability of earthquake ground motion: effects on seismic response of multi-span girder bridges. In: Proceedings of the 8th international conference on structural dynamics, EURODYN 2011, Leuven, Belgium

  • Deoadatis G (1996) Non-stationary stochastic vector processes: seismic ground motion applications. Probab Eng Mech 11:149–168

    Google Scholar 

  • Giuffrè A, Pinto P (1970) Il comportamento del cemento armato per sollecitazioni cicliche di forte intensità. (in italian). Giornale del Genio Civile

  • Hao H (1991) Response of multiply supported rigid plate to spatially correlated seismic excitations. Earthq Eng Struct Dyn 20:821–838

    Google Scholar 

  • Hao H (1993) Arch responses to correlated multiple excitations. EarthqEngStructDyn 22(5):389–404

    Google Scholar 

  • Hao H (1998) A parametric study of the required seating length for bridge decks during earthquake. Earthq Eng Struct Dyn 27:91–103

    Google Scholar 

  • Hao H, Oliveira CS, Penzien J (1989) Multiple-station ground motion processing and simulation based on smart-1 array data. Nucl Eng Des 111(3):293–310

    Google Scholar 

  • Hao H, Zhang S (1999) Spatial ground motion effect on relative displacement of adjacent building structures. Earthq Eng Struct Dyn 28(4):333–349

    Google Scholar 

  • Harada T (1984) Probabilistic modeling of spatial variation of strong earthquake ground displacement. In: Proceedings of 8th World Conference on Earthquake Engineering, San Francisco, CA

  • Harichandran RS, Vanmarcke EH (1986) Stochastic variation of earthquake ground motion in space and time. J Eng Mech 112(2):154–174

    Google Scholar 

  • Harichandran RS, Wang W (1988) Response of simple beam to spatially varying earthquake excitation. J Eng Mech 114:1526–1541

    Google Scholar 

  • Harichandran RS, Wang W (1990) Response of indeterminate two-span beam to spatially varying seismic excitation. Earthq Eng Struct Dyn 19:173–187

    Google Scholar 

  • IPQ, NP EN 1998–1 (2010) National Annex to Eurocode 8. Design of structures for earthquake resistance, Part 1: General rules, seismic actions and rules for buildings (in Portuguese).

  • Kameda H, Morikawa H (1992) An interpolating stochastic process for simulation of conditional random fields. Probab Eng Mech 7(4):243–254

    Google Scholar 

  • Kappos AJ, Saiidi MS, Aydınoğlu MN, Isaković T (2012) Design and assessment of bridges, inelastic methods of analysis and case studies, geotechnical, geological and earthquake engineering, vol 21. Springer, New York

    Google Scholar 

  • Kim S-H, Feng MQ (2003) Fragility analysis of bridges under ground motion with spatial variation. Int J Non-Linear Mech 38:705–721

    Google Scholar 

  • Kiureghian AD (1996) A coherency model for spatially varying ground motions. Earthq Eng Struct Dyn 25(1):99–111

    Google Scholar 

  • Kiureghian AD, Neuenhofer A (1992) Response spectrum method for multi-support seismic excitations. Earthq Eng Struct Dyn 21(8):713–740

    Google Scholar 

  • Lavorato D, Fiorentino G, Bergami AV, Briseghella B, Nuti C, Santini S, Vanzi I (2018) Asynchronous earthquake strong motion and RC bridges response. J Traffic Transp Eng (Eng Ed) 5(6):454–466

    Google Scholar 

  • Li X, Li Z, Crewe AJ (2018) Nonlinear seismic analysis of a high-pier, long-span, continuous RC frame bridge under spatially variable ground motions. Soil Dyn Earthq Eng 114:298–312

    Google Scholar 

  • Liao S, Zerva A (2006) Physically compliant, conditionally simulated spatially variable seismic ground motions for performance-based design. Earthq Eng Struct Dynam 35(7):891–919

    Google Scholar 

  • Loh CH (1985) Analysis of the spatial variation of seismic waves and ground movements from smart-1 array data. Earthq Eng Struct Dyn 13(5):561–581

    Google Scholar 

  • Loh CH, Yeh YT (1988) Spatial variation and stochastic modelling of seismic differential ground movement. Earthq Eng Struct Dyn 16(4):583–596

    Google Scholar 

  • Loh CH, Su GW (1986) Relative ground displacement and space-time correlation of ground motions. In: Proceedings seventh Japan earthquake engineering symposium, Tokyo, Japan

  • Luco JE, Wong HL (1986) Response of a rigid foundation to a spatially random ground motion. Earthq Eng Struct Dyn 14(6):891–908

    Google Scholar 

  • Macedo L, Castro JM (2017) SelEQ: an advanced ground motion record selection and scaling framework. Adv Eng Softw 114:32–47

    Google Scholar 

  • McKenna F, Fenves G (1999) OpenSEES - open system for earthquake engineering simulation. The Regents of the University of California, Berkeley, CA

    Google Scholar 

  • Menegotto M, Pinto P (1973) Method of anaysis for cyclically loaded reinforced concrete plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending. In: IABSE symposium of resistance and ultimate deformability of structures acted on by well-defined repeated loads, Lisbon

  • Oliveira CS, Hao H, Penzien J (1991) Ground motion modeling for multiple-input structural analysis. Struct Saf 10(1–3):79–93

    Google Scholar 

  • Oliveira CS, Penzien J (1985) Spatial variation of seismic ground motions based on SMART-1 array data. In: Procedings earthquake engineering lifeline seminar, Taipei

  • Oliveira CS, Bolt BA, Penzien J (1985) Rotational components of surface strong ground motion. EOS (abstract).

  • Papadopoulos SP, Sextos AG (2018) Anti-symmetric mode excitation and seismic response of base-isolated bridges under asynchronous input motion. Soil Dyn Earthq Eng 113:148–161

    Google Scholar 

  • Pipa M (1993) Ductility of Reinforced Concrete Elements Under Cyclic Actions. Influence of Reinforcement Mechanical Characteristics (PhD thesis) (in Portuguese),” Instituto Superior Técnico (IST)

  • Price TE, Eberhard MO (1998) Effects of spatially varying ground motions on short bridges. J Struct Eng 124(8):948–955

    Google Scholar 

  • Scott B, Park R, Priestley M (1982) Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI 79(1):13–27

    Google Scholar 

  • SeismoSoft (2016) SeismoSpect v2016. Available: http://www.seismosoft.com.

  • Soleimani F, Vidakovic B, DesRoches R, Padgett J (2017) Identification of the significant uncertain parameters in the seismic response of irregular bridges. Eng Struct 141:356–372

    Google Scholar 

  • Zanardo G, Hao H, Modena C (2002) Seismic response of multi-span simply supported bridges to a spatially varying earthquake ground motion. Earthq Eng Struct Dyn 31:1325–1345

    Google Scholar 

  • Zerva A (1990) Response of multi-span beams to spatially incoherent seismic ground motions. Earthq Eng Struct Dyn 19(6):819–832

    Google Scholar 

  • Zerva A (2009) Spatial variation of seismic ground motions: modeling and engineering applications. CRC Press, Boca Raton

    Google Scholar 

  • Zerva A, Zervas V (2002) Spatial variation of seismic ground motions: an overview. Appl Mech Rev 55(3):271–297

    Google Scholar 

  • Zerva A, Falamarz-Sheikhabadi MR, Poul MK (2018) Issues with the use of spatially variable seismic ground motions in engineering applications. In: 16th European conference on earthquake engineering, Thessaloniki

  • Zhong J, Jeon JS, Yuan W, DesRoches R (2017) Impact of spatial variability parameters on seismic fragilities of a cable-stayed bridge subjected to differential support motions. J Bridge Eng 22(6):04017013

    Google Scholar 

Download references

Acknowledgements

We acknowledge CERis/DECivil from IST for all the support.

Funding

Vítor T. Camacho has a grant [Grant Number PD/BD/127802/2016] from Fundação para a Ciência e Tecnologia (FCT).

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Authors and Affiliations

  1. Department of Civil Engineering, Instituto Superior Técnico, CERIS, Lisbon, Portugal

    Vítor T. Camacho, Luís Guerreiro, Carlos S. Oliveira & Mário Lopes

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  1. Vítor T. Camacho
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  2. Luís Guerreiro
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  3. Carlos S. Oliveira
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  4. Mário Lopes
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Correspondence to Vítor T. Camacho.

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Camacho, V.T., Guerreiro, L., Oliveira, C.S. et al. Effect of spatial variability of seismic strong motions on long regular and irregular slab-girder RC bridges. Bull Earthquake Eng 19, 767–804 (2021). https://doi.org/10.1007/s10518-020-01002-y

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