Earthquakes and Structures

  • 제23권4호
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  • Pages.385-401
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  • 2022
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Development of an uncertainty quantification approach with reduced computational cost for seismic fragility assessment of cable-stayed bridges

  • 투고 : 2022.06.09
  • 심사 : 2022.11.03
  • 발행 : 2022.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

Uncertainty quantification is the most important challenge in seismic fragility assessment of structures. The precision increment of the quantification method leads to reliable results but at the same time increases the computational costs and the latter will be so undesirable in cases such as reliability-based design optimization which includes numerous probabilistic seismic analyses. Accordingly, the authors' effort has been put on the development and validation of an approach that has reduced computational cost in seismic fragility assessment. In this regard, it is necessary to apply the appropriate methods for consideration of two categories of uncertainties consisting of uncertainties related to the ground motions and structural characteristics, separately. Also, cable-stayed bridges have been specifically selected because as a result of their complexity and the according time-consuming seismic analyses, reducing the computations corresponding to their fragility analyses is worthy of studying. To achieve this, the fragility assessment of three case studies is performed based on existing and proposed approaches, and a comparative study on the efficiency in the estimation of seismic responses. For this purpose, statistical validation is conducted on the seismic demand and fragility resulting from the mentioned approaches, and through a comprehensive interpretation, sufficient arguments for the acceptable errors of the proposed approach are presented. Finally, this study concludes that the combination of the Capacity Spectrum Method (CSM) and Uniform Design Sampling (UDS) in advanced proposed forms can provide adequate accuracy in seismic fragility estimation at a significantly reduced computational cost.

키워드

참고문헌

  1. Agrawal A.K., Ghosn M., Alampalli S. and Pan, Y. (2012), "Seismic fragility of retrofitted multispan continuous steel bridges in New York", J. Bridge Eng., 17(4), 562-575. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000290.
  2. Akbarnezhad, M., Salehi, M. and DesRoches, R. (2022), "Seismic design and numerical assessment of shape memory alloy-restrained rocking precast concrete bridge columns", Adv. Struct. Eng., 25(13), 2803-2829. https://doi.org/10.1177/13694332221104276.
  3. Akhoondzade-Noghabi, V. and Bargi, K. (2016a), "Decision-making of alternative pylon shapes of a benchmark cable-stayed bridge using seismic risk assessment", Earthq. Struct., 11(4), 583-607. https://doi.org/10.12989/eas.2016.11.4.583.
  4. Akhoondzade-Noghabi, V. and Bargi, K. (2016b), "Study on different cable configurations of cable-stayed bridges using developed seismic risk assessment", Struct. Eng. Int., 26(4), 312-323. https://doi.org/10.2749/101686616X14555428759280.
  5. Bergami, A.V., Nuti, C., Lavorato, D., Fiorentino, G. and Briseghella, B. (2020), "IMPAβ: Incremental modal pushover analysis for bridges", Appl. Sci., 10(12), 4287. https://doi.org/10.3390/app10124287.
  6. Camara, A. and Astiz, M. (2012), "Pushover analysis for the seismic response prediction of cable-stayed bridges under multi-directional excitation", Eng. Struct., 41, 444-455. https://doi.org/10.1016/j.engstruct.2012.03.059.
  7. Capacci, L. and Biondini, F. (2022), "Importance sampling in life-cycle seismic fragility and risk assessment of aging bridge networks", Proceedings of the 1st Conference of the European Association on Quality Control of Bridges and Structures, Springer, Cham.
  8. Chiou, J.S., Hu, W.S. and Lee, T.C. (2021), "Numerical investigation of seismic performance of bridge piers with spread footings considering pier plastic hinging and footing rocking, sliding, and settlement", Eng. Struct., 245, 112821. https://doi.org/10.1016/j.engstruct.2021.112821.
  9. Chojaczyk, A.A., Teixeira, A.P., Neves, L.C., Cardoso, J.B. and Soares, C.G. (2015), "Review and application of artificial neural networks models in reliability analysis of steel structures", Struct. Saf., 52, 78-89. https://doi.org/10.1016/j.strusafe.2014.09.002.
  10. CSI (2015), Integrated Software for Structural Analysis and Design SAP2000, Computers and Structures Inc., Berkeley, U.S.A.
  11. Di-Sarno, L. and Elnashai, A. (2021), "Seismic fragility relationships for structures", Advances in Assessment and Modeling of Earthquake Loss, Springer, Cham.
  12. Fang, K.T., Li, R. and Sudjianto, A. (2005), Design and Modeling for Computer Experiments, Chapman and Hall/CRC.
  13. Ferreira, F. and Simoes, L. (2019a), "Least cost design of curved cable-stayed footbridges with control devices", Struct., 19, 68-83. https://doi.org/10.1016/j.istruc.2018.12.004.
  14. Ferreira, F. and Simoes, L. (2019b), "Optimum design of a cable-stayed steel footbridge with three dimensional modelling and control devices", Eng. Struct., 180, 510-523. https://doi.org/10.1016/j.engstruct.2018.11.038.
  15. Ferreira, F. and Simoes, L. (2020), "Synthesis of three dimensional controlled cable-stayed bridges subject to seismic loading", Comput. Struct., 226, 106137. https://doi.org/10.1016/j.compstruc.2019.106137.
  16. Ghosh, S. and Chakraborty, S. (2022), "Seismic fragility analysis of bridges by relevance vector machine based demand prediction model", Earthq. Eng. Eng. Vib., 21(1), 253-268. https://doi.org/10.1007/s11803-022-2082-7.
  17. Harati, M., Mashayekhi, M., Mohammadnezhad, H., Jaberi, H. and Estekanchi, H.E. (2021), "On the reduction of the number of required motions in the dynamic analysis using a refined spectral matching", Earthq. Struct., 21(4), 425-444. https://doi.org/10.12989/eas.2021.21.4.425.
  18. Kehila, F., Remki, M., Zourgui, N.H., Kibboua, A. and Bechtoula, H. (2021), "Optimal intensity measure of post-tensioned girder highway bridge using fragility curves", Earthq. Struct., 20(6), 681-696. http://doi.org/10.12989/eas.2021.20.6.681.
  19. Khorraminejad, A., Sedaghati, P. and Foliente, G. (2021), "Response modification factor and seismic fragility assessment of skewed multi-span continuous concrete girder bridges", Earthq. Struct., 20(4), 389-403. https://doi.org/10.12989/eas.2021.20.4.389.
  20. Li, H., Li, L., Wu, W. and Xu, L. (2020a), "Seismic fragility assessment framework for highway bridges based on an improved uniform design-response surface model methodology", Bull. Earthq. Eng., 18(5), 2329-2353. https://doi.org/10.1007/s10518-019-00783-1.
  21. Li, H., Li, L., Zhou, G. and Xu, L. (2020b), "Effects of various modeling uncertainty parameters on the seismic response and seismic fragility estimates of the aging highway bridges", Bull. Earthq. Eng., 18(14), 6337-6373. https://doi.org/10.1007/s10518-020-00934-9.
  22. Maddah, M.M. and Eshghi, S. (2020), "Developing a modified IDA-based methodology for investigation of influencing factors on seismic collapse risk of steel intermediate moment resisting frames", Earthq. Struct., 18(3), 367-377. https://doi.org/10.12989/eas.2020.18.3.367.
  23. McKay, M.D., Beckman, R.J. and Conover, W.J. (2000), "A comparison of three methods for selecting values of input variables in the analysis of output from a computer code", Technometrics, 42(1), 55-61. https://doi.org/10.1080/00401706.2000.10485979.
  24. Metropolis, N. and Ulam, S. (1949), "The monte Carlo method", J. Am. Stat. Assoc., 44(247), 335-341. https://doi.org/10.1080/01621459.1949.10483310.
  25. Pacific Earthquake Engineering Research Center (PEER) (2005), User's Manual for the PEER Ground Motion Database Web Application, University of California, Berkeley.
  26. Pang, Y. and Wang, X. (2021), "Enhanced endurance-time-method (EETM) for efficient seismic fragility, risk and resilience assessment of structures", Soil Dyn. Earthq., 147, 106731. https://doi.org/10.1016/j.soildyn.2021.106731.
  27. Pang, Y., Wu, X., Shen, G. and Yuan, W. (2014), "Seismic fragility analysis of cable-stayed bridges considering different sources of uncertainties", J. Bridge Eng., 19(4), 04013015. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000565.
  28. Park, J. and Towashiraporn, P. (2014), "Rapid seismic damage assessment of railway bridges using the response-surface statistical model", Struct. Saf., 47, 1-12. https://doi.org/10.1016/j.strusafe.2013.10.001.
  29. Ren, J., Song, J. and Ellingwood, B.R. (2021), "Reliability assessment framework of deteriorating reinforced concrete bridges subjected to earthquake and pier scour", Eng. Struct., 239, 112363. https://doi.org/10.1016/j.engstruct.2021.112363.
  30. Shafigh, A., Ahmadi, H.R. and Bayat, M. (2021), "Seismic investigation of cyclic pushover method for regular reinforced concrete bridge", Struct. Eng. Mech., 78(1), 41-52. https://doi.org/10.12989/sem.2021.78.1.041.
  31. Shattarat, N.K., Symans, M.D., McLean, D.I. and Cofer, W.F. (2008), "Evaluation of nonlinear static analysis methods and software tools for seismic analysis of highway bridges", Eng. Struct., 30(5), 1335-1345. https://doi.org/10.1016/j.engstruct.2007.07.021.
  32. Shen, Y., Li, Y., Xu, W. and Li, J. (2020), "Evaluation of Seismic-induced impact interaction between a cable-stayed bridge and its approach spans using a simplified analysis model", J. Earthq. Eng., 14, 1-21. https://doi.org/10.1080/13632469.2020.1802368.
  33. Song, S., Liu, J., Qian, Y., Zhang, F. and Wu, G. (2018), "Dependence analysis on the seismic demands of typical components of a concrete continuous girder bridge with the copula technique", Adv. Struct. Eng., 21(12), 1826-1839. https://doi.org/10.1177/1369433218757234.
  34. Song, S., Qian, C., Qian, Y., Bao, H. and Lin, P. (2019), "Canonical correlation analysis of selecting optimal ground motion intensity measures for bridges", KSCE J. Civil Eng., 23(7), 2958-2970. https://doi.org/10.1007/s12205-019-0929-x.
  35. Song, S., Wu, Y.H., Wang, S. and Lei, H.G. (2022), "Important measure analysis of uncertainty parameters in bridge probabilistic seismic demands", Earthq. Struct., 22(2), 157-168. https://doi.org/10.12989/eas.2022.22.2.157.
  36. Sunil, J.C., Lego, A. and Dutta, A. (2021), "Fragility evaluation of integral abutment bridge including soil structure interaction effects", Earthq. Struct., 20(2), 201-213. https://doi.org/10.12989/eas.2021.20.2.201.
  37. Wei, B., Hu, Z., He, X. and Jiang, L. (2021b), "System-based probabilistic evaluation of longitudinal seismic control for a cable-stayed bridge with three super-tall towers", Eng. Struct., 229, 111586. https://doi.org/10.1016/j.engstruct.2020.111586.
  38. Wei, B., Hu, Z., Zuo, C., Wang, W. and Jiang, L. (2021a), "Effects of horizontal ground motion incident angle on the seismic risk assessment of a high-speed railway continuous bridge", Arch. Civil Mech. Eng., 21(1), 1-20. https://doi.org/10.1007/s43452-020-00169-0.
  39. Wei, K., He, H., Zhang, J., Yang, C. and Qin, S. (2021c), "An endurance time method-based fragility analysis framework for cable-stayed bridge systems under scour and earthquake", Ocean Eng., 232, 109128. https://doi.org/10.1016/j.oceaneng.2021.109128.
  40. Wei, X. and Bruneau, M. (2018), "Analytical investigation of bidirectional ductile diaphragms in multi-span bridges", Earthq. Eng. Eng. Vib., 17(2), 235-250. https://doi.org/10.1007/s11803-018-0438-9.
  41. Wu, W., Li, L. and Shao, X. (2016), "Seismic assessment of medium-span concrete cable-stayed bridges using the component and system fragility functions", J. Bridge Eng., 21(6), 04016027. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000888.
  42. Xu, L., Bi, K., Gao, J.F., Xu, Y. and Zhang, C. (2020), "Analysis on parameter optimization of dampers of long-span double-tower cable-stayed bridges", Struct. Infrastruct. Eng., 16(9), 1286-301. https://doi.org/10.1080/15732479.2019.1703760.
  43. Xu, L., Zhang, H., Gao, J. and Zhang, C. (2019), "Longitudinal seismic responses of a cable-stayed bridge based on shaking table tests of a half-bridge scale model", Adv. Struct. Eng., 22(1), 81-93. https://doi.org/10.1177/1369433218778662.
  44. Yilmaz, M.F. and Caglayan, B.O. (2018), "Seismic assessment of a multi-span steel railway bridge in Turkey based on nonlinear time history", Nat. Hazard. Earth Syst. Sci., 18(1), 231-240. https://doi.org/10.5194/nhess-18-231-2018.
  45. Yilmaz, M.F., Caglayan, B.O. and Ozakgul, K. (2019), "Probabilistic seismic risk assessment of simply supported steel railway bridges", Earthq. Struct., 17(1), 91-99. https://doi.org/10.12989/eas.2019.17.1.091.
  46. Yilmaz, M.F., Ozakgul, K. and Caglayan, B.O. (2021), "Seismic fragility analysis of multi-span steel truss railway bridges in Turkey", Struct. Infrastruct. Eng., 5, 1-8. https://doi.org/10.1080/15732479.2021.1951774.
  47. Zhao, Y. and Wang, Z. (2022), "Subset simulation with adaptable intermediate failure probability for robust reliability analysis: an unsupervised learning-based approach", Struct. Multidisc. Optim., 65(6), 1-22. https://doi.org/10.1007/s00158-022-03260-7.
  48. Zhong, J., Hu, Z., Yuan, W. and Chen, L. (2018), "System-based probabilistic optimization of fluid viscous dampers equipped in cable-stayed bridges", Adv. Struct. Eng., 21(12), 1815-1825. https://doi.org/10.1177/1369433218756429.