DOI QR코드

DOI QR Code

Seismic resistant design of highway bridge with multiple-variable frequency pendulum isolator

  • Liang, Xu (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Wen, Jianian (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Han, Qiang (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology) ;
  • Du, Xiuli (Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology)
  • Received : 2020.06.16
  • Accepted : 2021.05.14
  • Published : 2021.08.25

Abstract

Multiple variable frequency pendulum isolator (MVFPI) has been recently developed as a superior alternative to the traditional friction pendulum bearing (FPB) especially for the seismic isolation in near-fault regions. The MVFPI is characterized by its variable frequency and self-adaptability, which are achieved by piecewise function of sliding surface and shape memory alloy (SMA). The objective of this study is to propose the design algorithm of the MVFPIs in highway bridge as an extension of the direct displacement-based design (DDBD) framework. The nonlinearities of the structural components are taken into account in the design procedure, and the corresponding damage states satisfy the two-stage design philosophy. The accuracy and robustness of the design procedure are verified by an isolated four-span highway bridge through nonlinear time history (NLTH) analyses. The analytical results indicate that the proposed design procedure can predict the profile of deck displacement and amplitude, as well as the damage states of the piers. From statistic aspect, the fragility analyses illustrate that the bridge isolated by MVFPIs exhibits better seismic performance than that of the bridge isolated by FPBs.

Keywords

Acknowledgement

This research is jointly funded by the National Key of Research and Development of China (2018YFC1504306), National Natural Science Foundation of China (NSFC) (Grants No. 51421005, 51838010) and Beijing Municipal Education Commission (IDHT20190504). These supports are gratefully acknowledged. The results and conclusions presented in the paper are those of the authors and do not necessarily reflect the view of the sponsors.

References

  1. Amiri, G.G. Shalmaee, M.M. and Namiranian, P. (2016), "Evaluation of a DDB design method for bridges isolated with triple pendulum bearings", Struct. Eng. Mech., Int. J., 59(5), 803-820. https://doi.org/10.12989/sem.2016.59.5.803
  2. Amirihormozaki, E. (2013), "Analytical Fragility Functions for Horizontally Curved Steel Girder Highway Bridges", Proceedings of the 7th National Seismic Conference on Bridges and Highways.
  3. Blandon, C.A. and Priestley, M.J.N. (2005), "Equivalent viscous damping equations for direct displacement based design", J. Earthq. Eng., 9(2), 257-278. https://doi.org/10.1142/S1363246905002390
  4. Calvi, G.M. (2019), "On the correction of spectra by a displacement reduction factor in direct displacement-based seismic design and assessment", Earthq. Eng. Struct. D, 48(6), 678-685. https://doi.org/10.1002/eqe.3159
  5. Priestley, M.J.N., Calvi, G.M. and Kowalsky, M.J. (2007), "Displacement-based seismic design of structures", New Zealand Conference on Earthquake Engineering, IUSS Press.
  6. Cardone, D., Dolce, M. and Palermo, G. (2009), "Direct displacement-based design of seismically isolated bridges", B. Earthq. Eng., 7(2), 391. https://doi:10.1007/s10518-008-9069-2
  7. Choi, E., DesRoches, R. and Nielson, B. (2004), "Seismic fragility of typical bridges in moderate seismic zones", Eng. Struct., 26(2), 187-199. https://doi.org/10.1016/j.engstruct.2003.09.006
  8. Dao, N.D., Ryan, K.L., Sato, E. and Tomohiro, S (2013), "Predicting the displacement of triple pendulumTM bearings in a full-scale shaking experiment using a three-dimensional element", Earthq. Eng. Struct. D, 42(11), 1677-1695. https://doi.org/10.1002/eqe.2293
  9. Debnath, P.P. and Choudhury, S. (2017), "Nonlinear analysis of shear wall in unified performance based seismic design of buildings", Asian J. Civil Eng., 18(4), 633-642.
  10. Dezfuli, F.H. and Alam, M.S. (2016), "Seismic vulnerability assessment of a steel-girder highway bridge equipped with different SMA wire-based smart elastomeric isolators", Smart Mater. Struct., 25(7), 075039. https://doi.org/10.1088/0964-1726/25/7/075039
  11. Dolce, M., Cardone, D. and Croatto, F. (2005), "Frictional behavior of steel-PTFE interfaces for seismic isolation", B. Earthq. Eng., 3(1), 75-99. https://doi:10.1007/s10518-005-0187-9
  12. Dwairi, H. and Kowalsky, M. (2006), "Implementation of Inelastic Displacement Patterns in Direct Displacement-Based Design of Continuous Bridge Structures", Earthq. Spectra, 22(3), 631-662. https://doi.org/10.1193/1.2220577
  13. Eurocode 8. (1998), Design of Structures for Earthquake Resistance, Part 1: General rules seismic actions and rules for buildings, European Committee for Standardization; Brussels Belgium.
  14. FEMA Hazus-MH MR4 (2003), Multi-hazard loss estimation methodology: earthquake model, Federal Emergency Management Agency; Washington DC, USA.
  15. Fenz, D.M. (2008), "Development implementation and verification of dynamic analysis models for multi-spherical sliding bearings", State University of New York Buffalo, USA.
  16. Ghobarah, A. (2001), "Performance-based design in earthquake engineering: state of development", Eng. Struct., 23(8), 878-884. https://doi.org/10.1016/S0141-0296(01)00036-0
  17. Gulkan, P. and Sozen, M.A. (1974), "Inelastic responses of reinforced concrete structures to earthquake motions", J. Am. Concrete Inst., 71(12), 604-610.
  18. Han, Q. Wen, J. and Du, X. (2015), "Nonlinear response of continuous girder bridges with isolation bearings under bidirectional ground motions", J. Vibroeng., 17(2), 816-826.
  19. Han, Q., Wen, J., Du, X., Zhong, Z. and Hao, H. (2018), "Simplified seismic resistant design of base isolated single pylon cable-stayed bridge", B. Earthq. Eng., 16(10), 5041-5059. https://doi.org/10.1007/s10518-018-0382-0
  20. Han, Q., Liang, X., Wen, J., Zhang, J., Du, X. and Wang, Z. (2020), "Multiple-variable frequency pendulum isolator with high-performance materials", Smart Mater. Struct., 29(7), 075002. https://doi:10.1088/1361-665x/ab8749
  21. Huo, Y. and Zhang, J. (2013), "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. https://doi:10.1061/(asce)be.1943-5592.0000414
  22. Jara, M. and Casas, J.R. (2006), "A direct displacement-based method for the seismic design of bridges on bi-linear isolation devices", Eng. Struct., 28(6), 869-879. https://doi.org/10.1016/j.engstruct.2005.10.016
  23. JTJ/T B02-01-2008 (2008), Guidelines for Seismic Design of Highway Bridges, CMCT, ChongQing China. [In Chinese]
  24. Khan, E. (2015), "Direct displacement based seismic design of continuous curved bridges", Ph.D. Dissertation; North Carolina State University, NC, USA.
  25. Kowalsky, M.J. (2002), "A displacement-based approach for the seismic design of continuous concrete bridges", Earthq. Eng. Struct. D, 31(3), 719-747. https://doi.org/10.1002/eqe.150
  26. Li, S., Dezfuli, F.H., Wang, J.Q. and Alam M.S. (2018), "Displacement-based seismic design of steel FRP and SMA cable restrainers for isolated simply supported bridges", J. Bridge Eng., 23(6), 4018032. https://doi.org/10.1061/(asce)be.1943-5592.0001231
  27. Macedo, L. and Castro, J.M. (2012), "Direct displacement-based seismic design of steel moment frames", Proceedings of 15th World Conference on Earthquake Engineering, Lisbon, Portugal.
  28. Moehle, J.P. (1992), "Displacement-based design of RC structures subjected to earthquakes", Earthq. Spectra, 8(3), 403-428. https://doi.org/10.1193/1.1585688
  29. Mosqueda, G., Whittaker, A.S. and Fenves, G.L. (2004), "Characterization and modeling of friction pendulum bearings subjected to multiple components of excitation", J. Struct. Eng., 130(3), 433-442. https://doi:10.1061/(asce)0733-9445(2004)130:3(433)
  30. O'Reilly, G.J. and Sullivan, T.J. (2016), "Direct displacementbased seismic design of eccentrically braced steel frames", J. Earthq. Eng., 20(2), 243-278. https://doi.org/10.1080/13632469.2015.1061465
  31. Paolucci, R., Figini, R. and Petrini, L. (2013), "Introducing dynamic nonlinear soil-foundation-structure interaction effects in displacement-based seismic design", Earthq. Spectra, 29(2), 475-496. https://doi:10.1193/1.4000135
  32. PEER (Pacific Earthquake Engineering Research) (2013), NGA database. https://ngawest2.berkeley.edu
  33. Pettinga, J.D. and Priestley, M.J.N. (2005), "Dynamic behaviour of reinforced concrete frames designed with direct displacement-based design", J. Earthq. Eng., 9(SI2), 309-330. https://doi:10.1142/s1363246905002419
  34. Pranesh, M. and Sinha, R. (2000), "VFPI: an isolation device for aseismic design", Earthq. Eng. Struct. D, 29(5), 603-627. https://doi.org/10.1002/(SICI)1096-9845(200005)29:5<603::AID-EQE927>3.0.CO;2-W
  35. Priestley, M.J.N. (1993), "Myths and fallacies in earthquake engineering-conflicts between design and reality", Bull. New Zealand Nat. Soc. Earthq. Eng., 26(3), 329-341. https://doi.org/10.5459/bnzsee.26.3.329-341
  36. Sanchez-Flores, F. and Igarashi, A. (2012), "Displacement-based seismic design of base-isolated with bridges with viscous dampers", Proceedings of the 15th World Conference on Earthquake Engineering, Lisbon, Portugal.
  37. Shi, Y. (2018), "Seismic Fragility Analysis of FPS isolated Highspeed Railway Bridge Based on Response Surface Method", Ph.D. Dissertation; Guangzhou University, GuangZhou, China. [In Chinese]
  38. Simo, J. and Hughes, T. (1998), Computational Inelasticity, New York: Springer, NY, USA.
  39. Wen, J., Han, Q. and Du, X. (2019), "Shaking table tests of bridge model with friction sliding bearings under bi-directional earthquake excitations", Struct. Infrastruct. E., 15(9), 1264-1278. https://doi:10.1080/15732479.2019.1618350
  40. Xiang, N. and Alam, M.S. (2019), "Displacement-based seismic design of bridge bents retrofitted with various bracing devices and their seismic fragility assessment under near-fault and farfield ground motions", Soil Dyn. Earthq. Eng., 119, 75-90. https://doi:10.1016/j.soildyn.2018.12.023
  41. Zeris, C. Lalas, A. and Spacone, E. (2020), "Performance of torsionally eccentric RC wall frame buildings designed to DDBD under bi-directional seismic excitation", B. Earthq. Eng., 18(7), 3137-3165. https:// doi:10.1007/s10518-020-00813-3.