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Probabilistic seismic assessment of RC box-girder highway bridges with unequal-height piers subjected to earthquake-induced pounding

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Abstract

This paper uses the probabilistic seismic assessment to study the effects of pounding and irregularity on the seismic behavior of typical concrete box-girder bridges with four levels of altitudinal irregularity. To extend the results for all bridges in the same class, uncertainty related to the earthquake, structural geometries, and materials are considered. Pounding is likely to take place in two cases: the first one concerns the seat-type abutments, and the second is at the in-span hinge of multi-frame bridges. Accordingly, the present study is an attempt to investigate the behavior of irregular bridges considering the effects of pounding in both cases. In the first case, the effects of changes in the gap size on engineering demand parameters (EDPs) were investigated. Then, correlations between earthquake parameters and the pounding force were evaluated. Furthermore, the pounding force exerted on the abutment was compared for different bridge irregularity levels. In the second part of the paper, the effects of pounding of adjacent bridge segments in the decks of non-continuous bridges were studied for equivalent Two-Degree-of-Freedom structures, for which the probability of non-occurrence was estimated. In the end, the relationship between structural or seismic parameters and the pounding force was evaluated in case of pounding. The results of the study show that the gap size between the abutment and the deck has the highest effect on the abutment passive deformation, pounding force, and base shear. Also, the substructure irregularity of bridges reduces the correlation between the gap size and the EDPs, except for the column ductility. Moreover, decreasing the ratio of periods of the adjacent frames diminishes the effect of the type of the earthquake but increases the probability of pounding.

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References

  • Abbasi M, Zakeri B, Amiri GG (2015) Probabilistic seismic assessment of multiframe concrete box-girder bridges with unequal-height piers. J Perform Constr Facil 30(2):04015016

    Google Scholar 

  • American Association of State Highway and Transportation Officials (AASHTO) (1998) LRFD bridge design specifications. Washington, DC

  • Amjadian M, Agrawal AK (2016) Rigid-body motion of horizontally curved bridges subjected to earthquake-induced pounding. J Bridge Eng 21(12):04016090

    Google Scholar 

  • Amjadian M, Kalantari A, Agrawal AK (2018) Analytical study of the coupled motions of decks in skew bridges with the deck–abutment collision. J Vib Control 24(7):1300–1321

    Google Scholar 

  • Applied Technology Council, & Structural Engineers Association of California (1978) Tentative provisions for the development of seismic regulations for buildings: a cooperative effort with the design professions, building code interests, and the research community. vol 510, Department of Commerce, National Bureau of Standards

  • Arias A (1970) A measure of earthquake intensity: seismic design for nuclear power plants. Massachusetts Institute of Technology, Cambridge

    Google Scholar 

  • Ayyub BM, Lai KL (1989) Structural reliability assessment using Latin hypercube sampling. In: Proceedings of the 5th international conference on structural safety and reliability (ICOSSAR’89), Part II. ASCE, San Francisco

  • 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

    Google Scholar 

  • Baker JW, Lin T, Shahi SK, Jayaram N (2011) New ground motion selection procedures and selected motions for the PEER transportation research program. Pacific Earthquake Engineering Research Center, University of California, Berkeley, Berkeley, CA, PEER Report, (2011/3)

  • Bi K, Hao H, Chouw N (2010) Required separation distance between decks and at abutments of a bridge crossing a canyon site to avoid seismic pounding. Earthq Eng Struct Dyn 39(3):303–323

    Google Scholar 

  • Buckle I (1994) The Northridge, California earthquake of January 11, 1994: performance of highway bridges. Tech Rep. NCEER-94-0068. National Center for Earthquake Engineering Research

  • Buckle I, Hube M, Chen G, Yen WH, Arias J (2012) Structural performance of bridges in the offshore Maule earthquake of 27 February 2010. Earthq Spectra 28(S1):S533–S552

    Google Scholar 

  • Celik OC, Ellingwood BR (2010) Seismic fragilities for non-ductile reinforced concrete frames—role of aleatoric and epistemic uncertainties. Struct Saf 32(1):1–12

    Google Scholar 

  • Chang GA, Mander JB (1994) Seismic energy based fatigue damage analysis of bridge columns. Part 1—Evaluation of seismic capacity. NCEER Technical Rep N NCEER-94-0006. State Univ of New York, Buffalo, NY

  • Chase JG, Boyer F, Rodgers GW, Labrosse G, MacRae GA (2015) Linear and nonlinear seismic structural impact response spectral analyses. Adv Struct Eng 18(4):555–569

    Google Scholar 

  • Chau KT, Wei XX (2001) Pounding of structures modelled as non-linear impacts of two oscillators. Earthq Eng Struct Dyn 30(5):633–651

    Google Scholar 

  • Chau KT, Wei XX, Guo X, Shen CY (2003) Experimental and theoretical simulations of seismic poundings between two adjacent structures. Earthq Eng Struct Dyn 32(4):537–554

    Google Scholar 

  • Chen D, Zhao CM, Dockray GJ, Varro A, Van Hoek A, Sinclair NF, Koh TJ (2000) Glycine-extended gastrin synergizes with gastrin 17 to stimulate acid secretion in gastrin-deficient mice. Gastroenterology 119(3):756–765

    Google Scholar 

  • Choi E (2002) Seismic analysis and retrofit of mid-America bridges. Doctoral dissertation, School of Civil and Environmental Engineering, Georgia Institute of Technology

  • Chouw N, Hao H (2008a) Significance of SSI and non-uniform near-fault ground motions in bridge response II: effect on response with modular expansion joint. Eng Struct 30(1):154–162

    Google Scholar 

  • Chouw N, Hao H (2008b) Significance of SSI and nonuniform near-fault ground motions in bridge response I: effect on response with conventional expansion joint. Eng Struct 30(1):141–153

    Google Scholar 

  • Chouw N, Hao H (2012) Pounding damage to buildings and bridges in the 22 February 2011 Christchurch earthquake. Int J Prot Struct 3(2):123–139

    Google Scholar 

  • DesRoches R, Muthukumar S (2002) Effect of pounding and restrainers on seismic response of multiple-frame bridges. J Struct Eng 128(7):860–869

    Google Scholar 

  • Dimitrakopoulos EG (2011) Seismic response analysis of skew bridges with pounding deck–abutment joints. Eng Struct 33(3):813–826

    Google Scholar 

  • Dimitrakopoulos EG (2013) Nonsmooth analysis of the impact between successive skew bridge-segments. Nonlinear Dyn 74(4):911–928

    Google Scholar 

  • Dimitrakopoulos E, Makris N, Kappos AJ (2009) Dimensional analysis of the earthquake-induced pounding between adjacent structures. Earthq Eng Struct Dyn 38(7):867–886

    Google Scholar 

  • Dutta A (1999) On energy based seismic analysis and design of highway bridges. Doctoral dissertation, State University of New York at Buffalo

  • EERI (1995) EERI: Northridge Earthquake of January 17, 1994—Reconnaissance Report. EERI Report 95–03, vol 1. Earthquake Engineering Research Institute, Oakland

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

  • Ellingwood B, Hwang H (1985) Probabilistic descriptions of resistance of safety-related structures in nuclear plants. Nuclear Eng Des 88(2):169–178

    Google Scholar 

  • 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

    Google Scholar 

  • Fang JQ, Li QS, Jeary AP, Liu DK (1999) Damping of tall buildings: its evaluation and probabilistic characteristics. Struct Des Tall Build 8(2):145–153

    Google Scholar 

  • Federal Emergency Management Agency (FEMA) (1994) NEHRP Recommended provisions for the development of seismic regulations for new buildings

  • Filippou FC, Popov EP, Bertero VV (1983) Effects of bond deterioration on hysteretic behavior of reinforced concrete joints. Report no. UCB/EERC-83/19, Earthquake Engineering research Center, USA

  • Housner GW (1970) Strong ground motion. Earthq Eng 75:91

    Google Scholar 

  • Huo Y, Zhang J (2012) Effects of pounding and skewness on seismic responses of typical multispan highway bridges using the fragility function method. J Bridge Eng 18(6):499–515

    Google Scholar 

  • Jankowski R (2005) Impact force spectrum for damage assessment of earthquake-induced structural pounding. Key Eng Mater 293–294:711–718

    Google Scholar 

  • Jankowski R (2006) Pounding force response spectrum under earthquake excitation. Eng Struct 28(8):1149–1161

    Google Scholar 

  • Jankowski R (2015) Pounding between superstructure segments in multi-supported elevated bridge with three-span continuous deck under 3D non-uniform earthquake excitation. J Earthq Tsunami 9(4):1550012

    Google Scholar 

  • Jankowski R (2017) Damage-involved structural pounding in bridges under seismic excitation. Key Eng Mater 754:309–312

    Google Scholar 

  • Jankowski R, Mahmoud S (2015) Earthquake-induced structural pounding. Springer, Cham, Switzerland

    Google Scholar 

  • Jankowski R, Walukiewicz H (1997) Modeling of two-dimensional random fields. Probab Eng Mech 12(2):115–121

    Google Scholar 

  • Jankowski R, Wilde K (2000) A simple method of conditional random field simulation of ground motions for long structures. Eng Struct 22(5):552–561

    Google Scholar 

  • Jankowski R, Wilde K, Fujino Y (2000) Reduction of pounding effects in elevated bridges during earthquakes. Earthq Eng Struct Dyn 29(2):195–212

    Google Scholar 

  • Kawashima K, Unjoh S, Hoshikuma J-I, Kosa K (2011) Damage of bridges due to the 2010 Maule, Chile, earthquake. J Earthq Eng 15(7):1036–1068

    Google Scholar 

  • Kim SH, Shinozuka M (2003) Effects of seismically induced pounding at expansion joints of concrete bridges. J Eng Mech 129(11):1225–1234

    Google Scholar 

  • Kosa K, Tazaki K, Yamaguchi E (2002) Mechanism of damage to Shiwei Bridge caused by 1999 Chi–Chi earthquake. Struct Eng Earthq Eng 19(2):221s–226s

    Google Scholar 

  • Kramer SL (1996) Geotechnical earthquake engineering. Prentice Hall, Upper Saddle River, p 569

    Google Scholar 

  • Kun C, Jiang L, Chouw N (2017) Influence of pounding and skew angle on seismic response of bridges. Eng Struct 148:890–906

    Google Scholar 

  • Lin N (2002) Social capital: a theory of social structure and action, vol 19. Cambridge University Press, Cambridge

    Google Scholar 

  • Mackie K, Stojadinović B (2003) Seismic demands for performance-based design of bridges. Pacific Earthquake Engineering Research Center, Berkeley

    Google Scholar 

  • Mahmoud S, Chen X, Jankowski R (2008) Structural pounding models with Hertz spring and nonlinear damper. J Appl Sci 8(10):1850–1858

    Google Scholar 

  • Mandal A, Pal SC (2015) Achieving agility through BRIDGE process model: an approach to integrate the agile and disciplined software development. Innov Syst Softw Eng 11(1):1–7

    Google Scholar 

  • Mander JB, Kim DK, Chen SS, Premus GJ (1996) Response of steel bridge bearings to reversed cyclic loading. Technical Rep. No. NCEER 96-0014, US National Center for Earthquake Engineering Research (NCEER)

  • McKenna F (2011) OpenSees: a framework for earthquake engineering simulation. Comput Sci Eng 13(4):58–66

    Google Scholar 

  • Megally SH, Garg M, Seible F, Dowell RK (2001) Seismic performance of precast segmental bridge superstructures. SSRP, 24

  • Megally SH, Silva PF, Seible F (2002) Seismic response of sacrificial exterior keys in bridge abutments. Report no. SSRP–2001/23. Department of Structural Engineering, University of California, San Diego, La Jolla, CA

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

  • Muthukumar S, DesRoches R (2006) A Hertz contact model with non-linear damping for pounding simulation. Earthq Eng Struct Dyn 35(7):811–828

    Google Scholar 

  • NBI (National Bridge Inventory) (2010) National bridge inventory data. U.S. Dept. of Transportation, Federal Highway Administration, Washington

    Google Scholar 

  • Nielson BG (2005) Analytical fragility curves for highway bridges in moderate seismic zones. Doctoral dissertation, Georgia Institute of Technology

  • Otsuka H, Unjoh S, Terayama T, Hoshikuma J, Kosa K (1996) Damage to highway bridges by the 1995 Hyogoken Nanbu earthquake and the retrofit of highway bridges in Japan. In: Proceedings of the 3rd US Japan workshop on seismic retrofit of bridge

  • Padgett JE (2007) Seismic vulnerability assessment of retrofitted bridges using probabilistic methods. Doctoral dissertation, Georgia Institute of Technology

  • Pahlavan H, Zakeri B, Amiri GG, Shaianfar M (2015) Probabilistic vulnerability assessment of horizontally curved multiframe RC box-girder highway bridges. J Perform Constr Facil 30(3):04015038

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Raheem SEA (2014) Mitigation measures for earthquake induced pounding effects on seismic performance of adjacent buildings. Bull Earthq Eng 12(4):1705–1724

    Google Scholar 

  • Ramanathan KN (2012) Next generation seismic fragility curves for California bridges incorporating the evolution in seismic design philosophy. Doctoral dissertation, Georgia Institute of Technology

  • Rathje EM, Faraj F, Russell S, Bray JD (2004) Empirical relationships for frequency content parameters of earthquake ground motions. Earthq Spectra 20(1):119–144

    Google Scholar 

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

    Google Scholar 

  • Ruangrassamee A, Kawashima K (2001) Relative displacement response spectra with pounding effect. Earthq Eng Struct Dyn 30(10):1511–1538

    Google Scholar 

  • Shamsabadi A, Kapuskar M (2010) Nonlinear soil–abutment–foundation–structure interaction analysis of skewed bridges subjected to near-field ground motions. Transp Res Record J Transp Res Board 2202:192–205

    Google Scholar 

  • Shamsabadi A, Yan L (2008) Closed-formed force-displacement backbone curves for bridge abutment backfill systems. In: Proc. geotechnical earthquake engineering and soil dynamic IV congress. ASCE, Reston, VA

  • Shantz T, Roblee C (2011) Estimates of foundation springs, piles capacities and uncertainties for typical Caltrans bridges. [email] (Personal communication with Ramanathan K., DesRoches R., Padgett J. Dukes J. and Turner L., 25 March)

  • Shimazaki K, Sozen M (1984) Seismic drift of reinforced concrete structures Res. Rep. Hazama-Gumi Ltd., Tokyo (in Japanese)

    Google Scholar 

  • Singh RP, Bhoi S, Sahoo AK (2002) Changes observed in land and ocean after Gujarat earthquake of 26 January 2001 using IRS data. Int J Remote Sens 23(16):3123–3128

    Google Scholar 

  • Smith W (2005) The challenge of earthquake risk assessment. Seismol Res Lett 76(4):415–416

    Google Scholar 

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

    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(13):1573–1600

    Google Scholar 

  • Von Thun JL (1988) Earthquake ground motions for design and analysis of dams. In: Earthquake engineering and soil dynamics II-recent advances in ground-motion evaluation

  • Wang TL, Li QN (2011) Research on pounding response at expansion joint in the linear bridge and the curved bridge under earthquake. Adv Mater Res 255:2303–2307

    Google Scholar 

  • Wang LX, Chau KT, Wei XX (2009) Numerical simulations of nonlinear seismic torsional pounding between two single-story structures. Adv Struct Eng 12(1):87–101

    Google Scholar 

  • Won JH, Mha HS, Kim SH (2015) Effects of the earthquake-induced pounding upon pier motions in the multi-span simply supported steel girder bridge. Eng Struct 93:1–12

    Google Scholar 

  • Yashinsky M, Oviedo R, Ashford SA, Fargier-Gabaldon L, Hube M (2010) Performance of highway and railway structures during the February 27, 2010 Maule Chile earthquake. EERI/PEER, FHWA Bridge Team Report

    Google Scholar 

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Authors and Affiliations

  1. Department of Earthquake Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Hossein Rezaei

  2. Structural Engineering Research Center, International Institute of Earthquake Engineering and Seismology (IIEES), Tehran, Iran

    Seyyed Amirhossein Moayyedi

  3. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, ul. Narutowicza 11/12, 80-233, Gdansk, Poland

    Robert Jankowski

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  1. Hossein Rezaei
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Rezaei, H., Moayyedi, S.A. & Jankowski, R. Probabilistic seismic assessment of RC box-girder highway bridges with unequal-height piers subjected to earthquake-induced pounding. Bull Earthquake Eng 18, 1547–1578 (2020). https://doi.org/10.1007/s10518-019-00764-4

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