Acknowledgement
This research is jointly supported by the National Natural Science Foundations of China under grant No. 51778635 and 51778630, the Science and Technology Project of Sichuan Province under grant No. 2019YFG0048, the Natural Science Foundations of Hunan Province under grant No. 2019JJ40386, and the Research Program on Key Technology for the Seismic Design of Railway Bridge in Nine Degree Seismic Intensity Zone under grant No. KYY2018059. The above support is greatly appreciated.
References
- Alcala-Fdez, J., Alcala, R. and Herrera, F. (2011), "A fuzzy association rule-based classification model for high-dimensional problems with genetic rule selection and lateral tuning", IEEE T. Fuzzy Syst., 19(5), 857-872. https://doi.org/10.1109/tfuzz.2011.2147794
- Briseghella, B., Zordan, T., Liu, T. and Mazzarolo, E. (2013), "Friction pendulum system as a retrofit technique for existing reinforced concrete building", Struct. Eng. Int., 23(2), 219-224. https://doi.org/10.2749/101686613X13439149157759
- Castro, J., Castillo, O. and Melin, P. (2007), "An interval type-2 fuzzy logic toolbox for control applications", Proceedings of the 2007 IEEE International Fuzzy Systems Conference, London, UK, July.
- Castro, J.R., Castillo, O., Melin, P. and Rodriguez-Diaz, A. (2008), "Building fuzzy inference systems with a new interval type-2 fuzzy logic toolbox", Trans. Comput Sci., 1, 104-114. https://doi.org/10.1007/978-3-540-79299-4_5
- Chen, L.K. and Jiang, L.Z. (2011), "Inelastic displacement spectra for displacement-based seismic design of high-speed railway bridge pier", Appl. Mech. Mater., 121-126, 892-896. https://doi.org/10.4028/www.scientific.net/AMM.121-126.892
- Choi, K.M., Cho, S.W., Jung, H.J. and Lee, I.W. (2004), "Semiactive fuzzy control for seismic response reduction using magnetorheological dampers", Earthq. Eng. Struct. D., 33(6), 723-736. https://doi.org/10.1002/eqe.372
- Eroz, M. and Desroches, R. (2008), "Bridge seismic response as a function of the Friction Pendulum System (FPS) modeling assumptions", Eng. Struct., 30(11), 3204-3212. https://doi.org/10.1016/j.engstruct.2008.04.032
- Eroz, M. and DesRoches, R. (2013), "The influence of design parameters on the response of bridges seismically isolated with the Friction Pendulum System (FPS)", Eng. Struct., 56, 585-599. https://doi.org/10.1016/j.engstruct.2013.05.020
- Fenz, D.M. and Constantinou, M.C. (2006), "Behaviour of the double concave friction pendulum bearing", Earthq. Eng. Struct. D., 35(11), 1403-1424. https://doi.org/10.1002/eqe.589
- Ghosh, J., Padgett, J.E. and Sanchez-Silva, M. (2015), "Seismic damage accumulation in highway bridges in earthquake-prone regions", Earthq. Spectra., 31(1), 115-135. https://doi.org/0.1193/120812eqs347m https://doi.org/10.1193/120812EQS347M
- Han, Q., Du, X., Liu, J., Li, Z., Li, L. and Zhao, J. (2009), "Seismic damage of highway bridges during the 2008 Wenchuan earthquake", Earthq Eng Eng. Vib., 8(2), 263-273. https://doi.org/10.1007/s11803-009-8162-0
- He, R., Yang, Y. and Sneed, L.H. (2016), "Post-repair seismic assessment of RC bridges damaged with fractured column bars - A numerical approach", Eng. Struct., 112, 100-113. https://doi.org/10.1016/j.engstruct.2016.01.007
- He, X., Wu, T., Zou, Y., Chen, Y.F., Guo, H. and Yu, Z. (2017), "Recent developments of high-speed railway bridges in China", Struct. Infrastruct. E., 13(12), 1584-1595. https://doi.org/10.1080/15732479.2017.1304429
- Hu, M., Han, Q., Wen, J. and Bai, Y. (2019), "Seismic failure of multi-span simply supported RC slab-on-grider bridge in 2008 Wenchuan earthquake: Case study", Eng. Fail. Anal., 95, 140-153. https://doi.org/10.1016/j.engfailanal.2018.09.011
- Jara, J.M., Lopez, M.G., Jara, M. and Olmos, B.A. (2014), "Rotation and damage index demands for RC medium-length span bridges", Eng. Struct., 74, 205-217. https://doi.org/10.1016/j.engstruct.2014.05.029
- Jiang, L., He, W., Wei, B., Wang, Z. and Li, S. (2019), "The shear pin strength of friction pendulum bearings (FPB) in simply supported railway bridges", B. Earthq. Eng., 17(11), 6109-6139. https://doi.org/10.1007/s10518-019-00698-x
- Karim, K.R. and Yamazaki, F. (2007), "Effect of isolation on fragility curves of highway bridges based on simplified approach", Soil. Dyn. Earthq. Eng., 27(5), 414-426. https://doi.org/10.1016/j.soildyn.2006.10.006
- Khoshnoudian, F. and Hemmati, T.A. (2014), "Impact of structures with double concave friction pendulum bearings on adjacent structures", P. I. Civil Eng.-Str. B., 167(1), 41-53. https://doi.org/10.1680/stbu.12.00001
- Kim, Y.S. and Yun, C.B. (2007), "Seismic response characteristics of bridges using double concave friction pendulum bearings with tri-linear behavior", Eng. Struct., 29(11), 3082-3093. https://doi.org/10.1016/j.engstruct.2007.02.009
- Kumar, M., Whittaker, A.S. amd Constantinou, M.C. (2015), "Characterizing friction in sliding isolation bearings", Earthq. Eng. Struct. D., 44(9), 1409-1425. https://doi.org/10.1002/eqe.2524
- Li, D., Cao, M., Deng, T. and Zhang, S. (2019), "Wavelet packet singular entropy-based method for damage identification in curved continuous girder bridges under seismic excitations", Sensors, 19(19), 4272. https://doi.org/10.3390/s19194272
- Lin, S. and Xiong, H. (2011), Advances in Computer Science, Environment, Ecoinformatics, and Education, Part II: International Conference, CSEE 2011, Wuhan, China, August, pp. 526-527.
- Lin, C.C.J., Hung, H.H., Liu, K.Y. and Chai, J.F. (2010), "Reconnaissance observation on bridge damage caused by the 2008 Wenchuan (China) earthquake", Earthq. Spectra., 26(4), 1057-1083. https://doi.org/10.1193/1.3479947
- Lin, T.-K., Lu, L.-Y. and Chang, H. (2014), "Fuzzy logic control of a stiffness-adaptable seismic isolation system", Struct. Control Health Monitor., 22(1), 177-195. https://doi.org/10.1002/stc.1667
- Lu, L.-Y. and Lin, G.-L. (2009), "Fuzzy friction controllers for semi-active seismic isolation systems", J Intel. Mater. Syst. Struct., 20(14), 1747-1770. https://doi.org/10.1177/1045389X09343788
- Mazzoni, S., McKenna, F., Scott, M.H. and Fenves, G.L. (2006), OpenSEES command language manual, Department of Civil Environmental Engineering University of California, Berkeley, CA, USA, pp.134-142.
- Mitoulis, S.A. (2012), "The Inefficacy of Seismic Isolation in Bridges with Tall Piers", Proceedings of the 15th World Conference on Earthquake Engineering, Lisbon, Portugal, September.
- Oh, S.-T. and Kim, Y.S. (1998), "Experimental and analytical investigation of a seismically isolated bridge model with friction pendulum system", KSCE J. Civil Eng., 2(3), 265-272. https://doi.org/10.1007/BF02830480
- Padgett, J.E., Dennemann, K. and Ghosh, J. (2010), "Risk-based seismic life-cycle cost benefit (LCC-B) analysis for bridge retrofit assessment", Struct. Saf., 32(3), 165-173. https://doi.org/10.1016/j.strusafe.2009.10.003
- Pan, P., Ye, L., Shi, W. and Cao, H. (2012), "Engineering practice of seismic isolation and energy dissipation structures in China", Sci. China Technol. Sci., 55(11), 3036-3046. https://doi.org/10.1007/s11431-012-4922-6
- Ponzo, F.C., Cesare, A.D., Leccese, G. and Nigro, D. (2015), "Shaking table tests of a base isolated structure with double concave friction pendulum bearings", Bull. New Zealand Soc. Earthq. Eng., 48(2), 136-144. https://doi.org/10.5459/bnzsee.48.2.136-144
- Roy, A., Bhattacharya, G. and Roy, R. (2017), "Maximum credible damage of RC bridge pier under bi-directional seismic excitation for all incidence angles", Eng. Struct., 152, 251-273. https://doi.org/10.1016/j.engstruct.2017.09.008
- Saiidi, M.S., Vosooghi, A., Choi, H. and Somerville, P. (2014), "Shake table studies and analysis of a two-span RC bridge model subjected to a fault rupture", J. Bridge Eng., 19(8), A4014003. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000478
- Schanack, F., Valdebenito, G. and Alvial, J. (2012), "Seismic Damage to Bridges during the 27 February 2010 Magnitude 8.8 Chile Earthquake", Earthq. Spectra., 28(1), 301-315. https://doi.org/10.1193/1.3672424
- Shome, N. and Cornell, C.A. (1999), "Probabilistic seismic demand analysis of nonlinear structures", Ph.D. Dissertation; Stanford University, Stanford, CA, USA.
- Tsai, C.S., Chiang, T.C. and Chen, B.J. (2003), "Seismic behavior of MFPS isolated structure under near-fault sources and strong ground motions with long predominant periods", Proceedings of the ASME Pressure Vessels and Piping Conference, Cleveland, OH, USA, July.
- Tsopelas, P., Constantinou, M.C., Kim, Y.S. and Okamoto, S. (1996), "Experimental study of FPS system in bridge seismic isolation", Earthq. Eng. Struct. D., 25(1), 65-78. https://doi.org/10.1016/0148-9062(96)81967-X
- Usami, T. and Kumar, S. (1998), "Inelastic seismic design verification method for steel bridge piers using a damage index based hysteretic model", Eng. Struct., 20(4-6), 472-480. https://doi.org/10.1016/S0141-0296(97)00023-0
- Wei, B., Yang, T., Jiang, L. and He, X. (2018), "Effects of uncertain characteristic periods of ground motions on seismic vulnerabilities of a continuous track-bridge system of highspeed railway", B. Earthq. Eng., 16(9), 3739-3769. https://doi.org/10.1007/s10518-018-0326-8
- Wei, B., Li, C., Jia, X., He, X. and Yang, M. (2019), "Effects of shear keys on seismic performance of an isolation system", Smart Struct. Syst., Int. J., 24(3), 345-360. https://doi.org/10.12989/sss.2019.24.3.345
- Xia, H., Han, Y., Zhang, N. and Guo, W. (2006), "Dynamic analysis of train-bridge system subjected to non-uniform seismic excitations", Earthq. Eng. Struct. D., 35(12), 1563-1579. https://doi.org/10.1002/eqe.594
- Zadeh, L.A. (1965), "Fuzzy Sets", Inf. Control, 8(3), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
- Zayas, V.A., Low, S.S. and Mahin, S.A. (1990), "A simple pendulum technique for achieving seismic isolation", Earthq. Spectra, 6(2), 317-333. https://doi.org/10.1193/1.1585573