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Inelastic response of cable-stayed bridges subjected to non-uniform motions

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Abstract

This paper studies for the first time the effect of the spatial variability of ground motions (SVGM) with large intensities on the inelastic seismic response of the pylons which are responsible for the overall structural integrity of cable-stayed bridges. The svgm is defined by the time delay of the earthquake at different supports, the loss of coherency of the seismic waves and the incidence angle of the ground motion. An extensive study is conducted on cable-stayed bridges with ‘H’- and inverted ‘Y’-shaped pylons and with main spans of 200, 400 and 600 m. The svgm is most detrimental to the pylon of the 200-m span bridge owing to the large stiffness of this bridge compared to its longer counterparts. The stiff configuration of the inverted ‘Y’-shaped pylon makes it more susceptible against the multi-support excitation than the flexible ‘H’-shaped pylon, especially in the transverse direction of the response. Finally, the earthquake incidence angle is strongly linked with the svgm and should be included in the seismic design of cable-stayed bridges.

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References

  • AASHTO (2011) Guide specifications for LRFD seismic bridge design, 2nd edn. AASHTO, Washington

  • ABAQUS (2018) Finite elements analysis program. Dassault Systèmes Simulia, Providence

    Google Scholar 

  • Abdel-Ghaffar A (1991) Cable-stayed bridges under seismic action. In: Cable-stayed bridges; Recent developments and their future. Elsevier Science Ltd., Yokohama (Japan), pp 171–192

  • Abdel-Ghaffar A, Nazmy A (1991) 3D nonlinear seismic behavior of cable-stayed bridges. J Struct Eng 117:3456–3476

    Article  Google Scholar 

  • Allam S, Datta T (2004) Seismic response of a cable-stayed bridge deck under multi-component non-stationary random ground motion. Earthq Eng Struct Dyn 33:375–393

    Article  Google Scholar 

  • Bi K, Hao H, Ren W (2010) Response of a frame structure on a canyon site to spatially varying ground motions. Struct Eng Mech 36:111–127

    Article  Google Scholar 

  • Bruneau M, Wilson JC, Tremblay R (1996) Performance of steel bridges during the 1995 Hyogo-Ken Nanbu (Kobe, Japan) earthquake. Can J Civ Eng 23(3):678–713

    Article  Google Scholar 

  • Camara A (2011) Seismic behaviour of cable-stayed bridges: design, analysis and seismic devices. Ph.D. thesis, Universidad Politécnica de Madrid, Spain

  • Camara A, Efthymiou E (2016) Deck-tower interaction in the transverse seismic response of cable-stayed bridges and optimum configurations. Eng Struct 124:494–506

    Article  Google Scholar 

  • Camara A, Astiz M, Ye A (2014) Fundamental mode estimation for modern cable-stayed bridges considering the tower flexibility. J Bridge Eng 19:04014015

    Article  Google Scholar 

  • Chang KC, Mo YL, Chen CC, Lai LAC, Chou CC (2004) Lessons learned from the damaged Chi–Lu cable-stayed bridge. J Bridge Eng 9(4):343–352

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Efthymiou E (2019) The effect of multi-angle spatially variable ground motions on the seismic behaviour of cable-stayed bridges. Ph.D. thesis, City, University of London

  • Efthymiou E, Camara A (2015) Spatial variability effects of the seismic action in cable-stayed bridges and modelling techniques. In: IABSE Conference—structural engineering: providing solutions to global challenges. Geneva (Switzerland)

  • Efthymiou E, Camara A (2017) Effect of spatial variability of earthquakes on cable-stayed bridges. Procedia Eng 199:2949–2954

    Article  Google Scholar 

  • EN 1992-1-1:2004 (2004) Eurocode 2: Design of concrete structures. Part 1.1: General rules and rules for buildings

  • EN 1993-1-1:2005 (2005) Eurocode 3: Design of steel structures. Part 1.1: General rules and rules for buildings

  • EN 1993-1-11:2006 (2006) Eurocode 3: Design of steel structures. Part 1.11: Design of structures with tension components

  • EN 1998-1:2004 (2004) Eurocode 8: Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings

  • EN 1998-2:2005 (2005) Eurocode 8: Design of structures for earthquake resistance. Part 2: Bridges

  • Filiatrault A, Tinawi R, Massicotte B (1993) Damage to cable-stayed bridge during 1988 Saguenay earthquake. I: Pseudostatic analysis. J Struct Eng 119(5):1432–1449

    Article  Google Scholar 

  • Gazetas G (1991) Formulas and charts for impedances of surface and embedded foundations. J Geotech Eng 117(9):1363–1381

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • HAZUS (1997) Earthquake loss estimation methodology. Technical manual

  • Hilber H, Hughes T, Taylor R (1977) Improved numerical dissipation for time integration algorithms in structural dymanics. Earthq Eng Sruct Dyn 5:283–292

    Article  Google Scholar 

  • Hindy A, Novak M (1980) Pipeline response to random ground motion. J Eng Mech Div 106:339–360

    Article  Google Scholar 

  • Kawashima K, Unjoh S, Tunomoto M (1993) Estimation of damping ratio of cable-stayed bridges for seismic design. J Struct Eng 119(4):1015–1031

    Article  Google Scholar 

  • Khan R (2012) Earthquake-resistant structures-design, assessment and rehabilitation, chap. Seismic reliability analysis of cable-stayed bridges against first passage failure. INTECH Open Access Publisher, London

    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 Traff Transp Eng (Engl Ed) 5(6):454–466

    Google Scholar 

  • Lopez O, Hernandez J, Bonilla R, Fernandez A (2006) Response spectra for multicomponent structural analysis. Earthq Spectra 22:85–113

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Mander JB, Priestley MJN, Park R (1988) Theoretical stress–strain model for confined concrete. J Struct Eng 114(8):1804–1826

    Article  Google Scholar 

  • Nazmy A, Abdel-Ghaffar A (1992) Effects of ground motion spatial variability on the response of cable-stayed bridges. Earthq Eng Struct Dyn 21:1–20

    Article  Google Scholar 

  • Norma de Construcción Sismorresistente: Puentes (2007) (in spanish)

  • Nuti C, Vanzi I (2005) Influence of earthquake spatial variability on differential soil displacements and SDF system response. Earthq Eng Struct Dyn 34(11):1353–1374

    Article  Google Scholar 

  • Priestley M, Seible F, Calvi G (1996) Seismic design and retrofit of bridges. Wiley, Hoboken

    Book  Google Scholar 

  • Rathje EM, Abrahamson NA, Bray JD (1998) Simplified frequency content estimates of earthquake ground motions. J Geotech Geoenviron Eng 124(2):150–159

    Article  Google Scholar 

  • Sextos A, Kappos A (2008) Asynchronous seismic excitation practice (in Greek). In: 3rd Panhellenic conference on earthquake engineering and engineering seismology. Athens (Greece)

  • Sextos A, Pitilakis K, Kappos A (2003) Inelastic dynamic analysis of RC bridges accounting for spatial variability of ground motion, site effects and soil–structure interaction phenomena. Part 1: Methodology and analytical tools. Earthq Eng Struct Dyn 32(4):607–627

    Article  Google Scholar 

  • Sextos A, Kappos A, Mergos P (2004) Effect of soil–structure interaction and spatial variability of ground motions on irregular bridges: the case of the Krystallopigi bridge. In: 13th world conference on earthquake engineering. Vancouver (B.C. Canada)

  • Sextos A, Karakostas C, Lekidis V, Papadopoulos S (2014) Multiple support seismic excitation of the Evripos Bridge based on free-field and on-structure recordings. Struct Infrastruct Eng 11:1510–1523

    Article  Google Scholar 

  • Shinozuka M, Saxena V, Deodatis G (2000) Effect of spatial variation of ground on highway structures. Tech. rep, MCEER ISN, pp 1520–295X

  • Soyluk K, Dumanoglu A (2000) Comparison of asynchronous and stochastic dynamic responses of a cable-stayed bridge. Eng Struct 22:435–445

    Article  Google Scholar 

  • Soyluk K, Dumanoglu A (2004) Spatial variability effects of ground motions on cable-stayed bridges. Soil Dyn Earthq Eng 24:241–250

    Article  Google Scholar 

  • Tzanetos N, Elnashai A, Hamdan F, Antoniou S (2000) Inelastic dynamic response of RC bridges subjected to spatial non-synchronous earthquake motion. Adv Struct Eng 3:191–214

    Article  Google Scholar 

  • Wang J, Carr A, Cooke N, Moss P (2003) Wave-passage effect on the seismic response of long bridges. In: 2003 Pacific conference on earthquake engineering

  • Zerva A (1991) Effect of spatial variability and propagation of seismic ground motions on the response of multiply supported structures. Probab Eng Mech 6:212–221

    Article  Google Scholar 

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

    Google Scholar 

Download references

Funding

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Lyle School of Engineering, Southern Methodist University, Dallas, TX, USA

    Eleftheria Efthymiou

  2. School of Mathematics, Computer Science and Engineering, City University of London, London, UK

    Alfredo Camara

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  1. Eleftheria Efthymiou
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  2. Alfredo Camara
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Correspondence to Eleftheria Efthymiou.

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Efthymiou, E., Camara, A. Inelastic response of cable-stayed bridges subjected to non-uniform motions. Bull Earthquake Eng 19, 2691–2710 (2021). https://doi.org/10.1007/s10518-021-01079-z

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