Influence of Multidirectional Cable Restrainer on Seismic Fragility of a Curved Bridge
Publication: Journal of Bridge Engineering
Volume 24, Issue 3
Abstract
This paper presents a passive control device—multidirectional cable restrainer (MDCR)—and develops the fragility curves of a curved bridge with and without MDCR, respectively. Three-dimensional finite-element models with and without MDCR were established by OpenSees software. In order to consider ground motion uncertainty, 80 ground motion records were selected from the Pacific Earthquake Engineering Research (PEER) strong motion database. Meanwhile, the parameters of MDCR, such as initial slack and stiffness of cable and the incidence angle of the motions, were treated as random variables. The probabilistic capacity model of the pier with varying gravity force was established using the response surface method (RSM). System fragility curves of the bridge with and without MDCR were developed by Monte Carlo (MC) simulation, and the correlation of the bridge components was considered in the process of sampling. The results show that of the six intensity measures (IMs) considered, spectral acceleration at the period of 1 s (Sa10) is the optimal IM for the curved bridge prototype. In addition, piers are the least vulnerable component for the system with MDCR.
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Acknowledgments
This research was supported by the Ministry of Science and Technology of China under Grant SLDRCE14-B-14; the National Natural Science Foundation of China under Grants 51478339, 51778471, and 51608161.
References
Abbasi, M., M. J. Abedini, B. Zakeri, and G. G. Amiri. 2016. “Seismic vulnerability assessment of a Californian multi-frame curved concrete box girder viaduct using fragility curves.” Struct. Infrastruct. Eng. 12 (12): 1585–1601. https://doi.org/10.1080/15732479.2016.1152586.
Alam, M. S., M. A. R. Bhuiyan, and A. H. M. M. Billah. 2012. “Seismic fragility assessment of SMA-bar restrained multi-span continuous highway bridge isolated by different laminated rubber bearings in medium to strong seismic risk zones.” Bull. Earthquake Eng. 10 (6): 1885–1909. https://doi.org/10.1007/s10518-012-9381-8.
Amjadian, M., and A. K. Agrawal. 2016. “Rigid-body motion of horizontally curved bridges subjected to earthquake-induced pounding.” J. Bridge Eng. 21 (12): 04016090. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000962.
Banerjee, A., A. Chanda, and R. Das. 2017. “Seismic analysis of a curved bridge considering deck-abutment pounding interaction: an analytical investigation on the post-impact response.” Earthquake Eng. Struct. Dyn. 46 (2): 267–290. https://doi.org/10.1002/eqe.2791.
Banerjee, S., and M. Shinozuka. 2008. “Experimental verification of bridge seismic damage states quantified by calibrating analytical models with empirical field data.” Earthquake Eng. Eng. Vib. 7 (4): 383–393. https://doi.org/10.1007/s11803-008-1010-9.
Bayat, M., F. Daneshjoo, and N. Nisticò. 2017. “The effect of different intensity measures and earthquake directions on the seismic assessment of skewed highway bridges.” Earthquake Eng. Eng. Vib. 16 (1): 165–179. https://doi.org/10.1007/s11803-017-0375-z.
Chen, Z. Y., W. Chen, and G. Q. Bian. 2014. “Seismic performance upgrading for underground structures by introducing shear panel dampers.” Adv. Struct. Eng. 17 (9): 1343–1357. https://doi.org/10.1260/1369-4332.17.9.1343.
Choi, E., and J. C. Jeon. 2003. “Seismic fragility of typical bridges in moderate seismic zone.” KSCE J. Civ. Eng. 7 (1): 41–51. https://doi.org/10.1007/BF02841989.
Cimellaro, G. P., A. Reinhorn, A. D’Ambrisi, and M. De Stefano. 2009. “Fragility analysis and seismic record selection.” J. Struct. Eng. 137 (3): 379–390. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000115.
Cornell, C. A., F. Jalayer, R. O. Hamburger, and D. Foutch. 2002. “Probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines.” J. Struct. Eng. 128 (4): 526–533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526).
Desroches, R., and S. Muthukumar. 2002. “Effect of pounding and restrainers on seismic response of multiple-frame bridges.” J. Struct. Eng. 128 (7): 860–869. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:7(860).
Faramarz, K., and R. Montazar. 2010. “Seismic response of double concave friction pendulum base-isolated structures considering vertical component of earthquake.” Adv. Struct. Eng. 13 (1): 1–13. https://doi.org/10.1260/1369-4332.13.1.1.
Galindo, C. M., J. G. Belda, and T. Hayashikawa. 2010. “Non‐linear seismic dynamic response of curved steel bridges equipped with LRB supports.” Steel Constr. 3 (1): 34–41. https://doi.org/10.1002/stco.201010005.
Hacıefendioğlu, K., H. B. Başağa, and S. Banerjee. 2017. “Probabilistic analysis of historic masonry bridges to random ground motion by Monte Carlo simulation using response surface method.” Constr. Build. Mater. 134 (Mar): 199–209. https://doi.org/10.1016/j.conbuildmat.2016.12.101.
Jeon, J. S., R. Desroches, T. Kim, and E. Choi. 2016. “Geometric parameters affecting seismic fragilities of curved multi-frame concrete box-girder bridges with integral abutments.” Eng. Struct. 122 (Sept): 121–143. https://doi.org/10.1016/j.engstruct.2016.04.037.
Jeon, J. S., S. Mangalathu, J. Song, and R. DesRoches. 2017. “Parameterized seismic fragility curves for curved multi-frame concrete box-girder bridges using Bayesian parameter estimation.” J. Earthquake Eng. 1–26. https://doi.org/10.1080/13632469.2017.1342291.
Julian, F. D. R., T. Hayashikawa, and T. Obata. 2007. “Seismic performance of isolated curved steel viaducts equipped with deck unseating prevention cable restrainers.” J. Constr. Steel. Res. 63 (2): 237–253. https://doi.org/10.1016/j.jcsr.2006.03.008.
Karim, K. R., and F. Yamazaki. 2001. “Effect of earthquake ground motions on fragility curves of highway bridge piers based on numerical simulation.” Earthquake Eng. Struct. Dyn. 30 (12): 1839–1856. https://doi.org/10.1002/eqe.97.
Kawashima, K., Y. Takahashi, H. Ge, Z. Wu, and J. Zhang. 2009. “Reconnaissance report on damage of bridges in 2008 Wenchuan, China, earthquake.” J. Earthquake Eng. 13 (7): 965–996. https://doi.org/10.1080/13632460902859169.
Long, X. H., J. Fan, B. B. Yang, and B. L. Chen. 2015. “Seismic fragility analysis of an isolated continuous girder bridge using the response surface method with random factors.” Adv. Struct. Eng. 18 (12): 2059–2073. https://doi.org/10.1260/1369-4332.18.12.2059.
Mackie, K., K. Cronin, and B. Nielson. 2011. “Response sensitivity of highway bridges to randomly oriented multi-component earthquake excitation.” J. Earthquake Eng. 15 (6): 850–876. https://doi.org/10.1080/13632469.2010.551706.
Madhekar, S. N., and R. S. Jangid. 2010. “Seismic performance of benchmark highway bridge with variable friction pendulum system.” Adv. Struct. Eng. 13 (4): 561–589. https://doi.org/10.1260/1369-4332.13.4.561.
Malekzadeh, M., and T. Taghikhany. 2012. “Multi-stage performance of seismically isolated bridge using triple pendulum bearings.” Adv. Struct. Eng. 15 (7): 1181–1196. https://doi.org/10.1260/1369-4332.15.7.1181.
Mander, J. B., M. J. N. Priestley, and R. Park. 1988. “Theoretical stress‐strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Mangalathu, S. 2017. “Performance-based grouping and fragility analysis of box girder bridges in California.” Ph.D. thesis, GA Institute of Technology. http://hdl.handle.net/1853/58291.
Mangalathu, S., and J. S. Jeon. 2018. “Adjustment factors to account for the effect of bridge deck horizontal curvature on the seismic response of concrete box-girder bridges in California.” Earthquake Spectra 34 (2): 893–914. https://doi.org/10.1193/060917EQS109M.
Mangalathu, S., J. S. Jeon, and R. Desroches. 2018. “Critical uncertainty parameters influencing seismic performance of bridges using Lasso regression.” Earthquake Eng. Struct. Dyn. 47 (3): 784–801. https://doi.org/10.1002/eqe.2991.
Mangalathu, S., J. S. Jeon, J. E. Padgett, and R. DesRoches. 2016. “ANCOVA-based grouping of bridge classes for seismic fragility assessment.” Eng. Struct. 123 (Sept): 379–394. https://doi.org/10.1016/j.engstruct.2016.05.054.
Martínez, A., M. A. Hube, and K. M. Rollins. 2017. “Analytical fragility curves for non-skewed highway bridges in Chile.” Eng. Struct. 141 (Jun): 530–542. https://doi.org/10.1016/j.engstruct.2017.03.041.
McKenna, F., M. H. Scott, and G. L. Fenves. 2010. “Nonlinear finite-element analysis software architecture using object composition.” J. Comput. Civil. Eng. 24 (1): 95–107. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000002.
Milani, A. S., and M. Dicleli. 2016. “Systematic development of a new hysteretic damper based on torsional yielding: Part I—Design and development.” Earthquake Eng. Struct. Dyn. 45 (6): 845–867. https://doi.org/10.1002/eqe.2684.
Monteiro, R., C. Zelaschi, A. Silva, and R. Pinho. 2017. “Derivation of fragility functions for seismic assessment of RC bridge portfolios using different intensity measures.” J. Earthquake Eng. 1–17. https://doi.org/10.1080/13632469.2017.1387188.
Monzon, E. V., I. G. Buckle, and A. M. Itani. 2016. “Seismic performance and response of seismically isolated curved steel I-girder bridge.” J. Struct. Eng. 142 (12): 04016121. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001594.
Muntasir Billah, A., and M. S. Alam. 2015. “Seismic fragility assessment of concrete bridge pier reinforced with superelastic shape memory alloy.” Earthquake Spectra 31 (3): 1515–1541. https://doi.org/10.1193/112512EQS337M.
Ni, Y., J. Chen, H. Teng, and H. Jiang. 2015. “Influence of earthquake input angle on seismic response of curved girder bridge.” J. Traffic Transp. Eng. (English Ed.) 2 (4): 233–241. https://doi.org/10.1016/j.jtte.2015.05.003.
Nielson, B. G., and W. C. Pang. 2011. “Effect of ground motion suite size on uncertainty estimation in seismic bridge fragility modeling.” In Proc., Structures Congress, 23–34. Reston, VA: ASCE. https://doi.org/10.1061/41171(401)3.
Nielson, B. G. 2005. “Analytical fragility curves for highway bridges in moderate seismic zones.” Ph.D. thesis, GA Institute of Technology. http://hdl.handle.net/1853/7542.
Padgett, J. E., and R. DesRoches. 2007. “Sensitivity of seismic response and fragility to parameter uncertainty.” J. Struct. Eng. 133 (12): 1710–1718. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:12(1710).
Padgett, J. E., B. G. Nielson, and R. DesRoches. 2008. “Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios.” Earthquake Eng. Struct. Dyn. 37 (5): 711–725. https://doi.org/10.1002/eqe.782.
Pahlavan, H., B. Zakeri, G. G. Amiri, and M. Shaianfar. 2015. “Probabilistic vulnerability assessment of horizontally curved multiframe RC box-girder highway bridges.” J. Perform. Constr. Facil. 30 (3): 04015038. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000780.
Ramanathan, K., J. E. Padgett, and R. Desroches. 2015. “Temporal evolution of seismic fragility curves for concrete box-girder bridges in California.” Eng. Struct. 97 (Aug): 29–46. https://doi.org/10.1016/j.engstruct.2015.03.069.
Ramanathan, K. N. 2012. “Next generation seismic fragility curves for California bridges incorporating the evolution in seismic design philosophy.” Ph.D. thesis, Georgia Institute of Technology.
Rogers, L. P., and J. Seo. 2016. “Vulnerability sensitivity of curved precast-concrete I-girder bridges with various configurations subjected to multiple ground motions.” J. Bridge Eng. 22 (2): 04016118. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000973.
Shamsabadi, A., P. Khalili-Tehrani, J. P. Stewart, and E. Taciroglu. 2009. “Validated simulation models for lateral response of bridge abutments with typical backfills.” J. Bridge Eng. 15 (3): 302–311. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000058.
Siqueira, G. H., A. S. Sanda, P. Paultre, and J. E. Padgett. 2014. “Fragility curves for isolated bridges in eastern Canada using experimental results.” Eng. Struct. 74 (Sept): 311–324. https://doi.org/10.1016/j.engstruct.2014.04.053.
Sun, Z., D. Wang, X. Guo, B. Si, and Y. Huo. 2011. “Lessons learned from the damaged Huilan interchange in the 2008 Wenchuan Earthquake.” J. Bridge Eng. 17 (1): 15–24. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000210.
Tirasit P., and K. Kawashima. 2005. “Seismic torsion response of skewed bridge piers.” In Vol. 28 of Proc., JSCE Earthquake Engineering Symposium, 116. Tokyo: Japan Society of Civil Engineers.
Tondini, N., and B. Stojadinovic. 2012. “Probabilistic seismic demand model for curved reinforced concrete bridges.” Bull. Earthquake Eng. 10 (5): 1455–1479. https://doi.org/10.1007/s10518-012-9362-y.
Torbol, M., and M. Shinozuka. 2012. “Effect of the angle of seismic incidence on the fragility curves of bridges.” Earthquake Eng. Struct. Dyn. 41 (14): 2111–2124. https://doi.org/10.1002/eqe.2197.
Wang, X., A. Shafieezadeh, and A. Ye. 2018. “Optimal intensity measures for probabilistic seismic demand modeling of extended pile-shaft-supported bridges in liquefied and laterally spreading ground.” Bull. Earthquake Eng. 16 (1): 229–257. https://doi.org/10.1007/s10518-017-0199-2.
Wang, Q., Z. Wu, and S. Liu. 2012. “Seismic fragility analysis of highway bridges considering multi-dimensional performance limit state.” Earthquake Eng. Eng. Vib. 11 (2): 185–193. https://doi.org/10.1007/s11803-012-0109-1.
Yang, H., S. Liu, and W. Yuan. 2017. “Experiment based seismic behavior investigation of a sliding controlled isolation system.” J. Perform. Constr. Facil. 31 (3): 04016106. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000963.
Yen, W. P., G. Chen, M. Yashinski, et al. 2009. “Lessons in bridge damage learned from the Wenchuan earthquake.” Earthquake Eng. Eng. Vib. 8 (2): 275–285. https://doi.org/10.1007/s11803-009-9064-x.
Yilmaz, M. F., and B. O. Çağlayan 2017. “Selection of intensity measure in probabilistic seismic risk assessment of Turkish railway bridge.” World Acad. Sci. Eng. Technol. Int. J. Civil Environ. Struct. Constr. and Archit. Eng. 11 (7): 964–968.
Zhang, J., and Y. Huo. 2009. “Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method.” Eng. Struct. 31 (8): 1648–1660. https://doi.org/10.1016/j.engstruct.2009.02.017.
Zhong, J., Y. Pang, J. S. Jeon, R. DesRoches, and W. Yuan. 2016. “Seismic fragility assessment of long-span cable-stayed bridges in China.” Adv. Struct. Eng. 19 (11): 1797–1812. https://doi.org/10.1177/1369433216649380.
Zhu, S., and C. X. Qiu. 2014. “Incremental dynamic analysis of highway bridges with novel shape memory alloy isolators.” Adv. Struct. Eng. 17 (3): 429–438. https://doi.org/10.1260/1369-4332.17.3.429.
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Published In
Journal of Bridge Engineering
Volume 24 • Issue 3 • March 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Aug 7, 2017
Accepted: Aug 21, 2018
Published online: Jan 2, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 2, 2019
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