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Seismic risk analysis over the entire service life of a sea-crossing cable-stayed bridge based on fragility

  • Yan Liang (School of Civil Engineering, Zhengzhou University) ;
  • Yujiao Liu (School of Civil Engineering, Zhengzhou University) ;
  • Li Yan (School of Civil Engineering, Zhengzhou University) ;
  • Xinyu Yuan (School of Civil Engineering, Zhengzhou University) ;
  • Pinwu Guan (School of Civil Engineering, Zhengzhou University) ;
  • Jingxiao Shu (Henan Province Expressway Network Management Center)
  • Received : 2025.08.15
  • Accepted : 2026.02.28
  • Published : 2026.04.25

Abstract

Cable-stayed bridges located in seismic-prone regions face durability-related degradation from environmental corrosion throughout their service life and seismic hazards from sudden earthquakes. To investigate this issue, this study uses the Hong Kong-Zhuhai-Macau Bridge as a case study. Nonlinear finite element models for cable-stayed bridges are established at different stages of their service life using OpenSees. The models consider material degradation over time and analyze the time-dependent seismic fragility and earthquake risk of primary components and systems within the cable-stayed bridge. The research findings show that the fragility of diverse components and systems gradually increases as the service life of cable-stayed bridges progresses, although the overall escalation is relatively modest. In extremely rare earthquake, the probability of severe damage and complete failure in seismically-damped cable-stayed bridge systems is significantly lower compared to non-seismically-damped counterparts (48.5% and 24% lower, respectively). Throughout the entire service life, the seismic risk of cable-stayed bridge towers and piers remains below 5%, while the seismic risk of the bridge system is mainly influenced by components with higher seismic risks, such as the bearings. On the other hand, components with lower seismic risks, like the towers and piers, exert minimal influence on the overall risk of the cable-stayed bridge system. The seismic risk of the cable-stayed bridge system remains relatively stable over the full duration of service. Taking the initial service time as an example, the implementation of seismic damping measures results in a reduction of earthquake risk for slight damage by 58.45%, moderate damage by 14.41%, severe damage by 2.52%, and complete failure by 0.32%. It should be noted that these reported risk reductions are relative to the non-damped system and are based on the first-order method, which may overestimate absolute risk. Nevertheless, the comparative effectiveness of dampers is clearly demonstrated. Seismic damping measures significantly enhance the overall seismic performance of the cable-stayed bridge, reducing both its fragility and earthquake risk.

Keywords

Acknowledgement

This research was supported by Key Science and Technology Research Project of Henan Province, China (Grant No. 252102321144). National Science Foundation of Henan Province, China (Grant No. 242300420001). Special Program for International Student Education under the Zhengzhou University Education and Teaching Reform Project (Grant No. 2024ZZUJGXM-LXS026).

References

  1. Song, S., Wu, Y.H., Xu, B.S., Wu, G., Zhang, J. (2020). Pair Copula technique of seismic vulnerability assessment of cable-stayed bridge system. Engineering Mechanics, 38(9), 110-123. https://doi.org/10.6052/j.issn.1000-4750.2020.09.0629.
  2. Pang, Y., Yin, P., Wang, J., Wu, L. (2023). Integrated framework for seismic fragility assessment of cable-stayed bridges using deep learning neural networks. Science China Technological Sciences, 66(2), 406-416. https://doi.org/10.1007/s11431-022-2245-1.
  3. Wei, K., He, H., Zhang, J., Yang, C., Qin, S. (2021). An endurance time method-based fragility analysis framework for cable-stayed bridge systems under scour and earthquake. Ocean Engineering, 232, 109128. https://doi.org/10.1016/j.oceaneng.2021.109128.
  4. Casciati, F., Cimellaro, G.P., Domaneschi, M. (2008). Seismic reliability of a cable-stayed bridge retrofitted with hysteretic devices. Computers & Structures, 86(17-18), 1769-1781. https://doi.org/10.1016/j.compstruc.2008.01.012.
  5. Khan, R.A., Datta, T.K., Ahmad, S. (2006). Seismic risk analysis of modified fan type cable stayed bridges. Engineering Structures, 28(9), 1275-1285. https://doi.org/10.1016/j.engstruct.2006.01.002.
  6. Ren, W., Liu, A., Qiu, D. (2023). Seismic risk analysis of offshore bridges considering seismic correlation between vulnerable components. Applied Sciences, 13(11), 6485. https://doi.org/10.3390/app13116485.
  7. Zhong, J., Wan, H., Ren, W., Yuan, W. (2018). Seismic risk analysis for cable-stayed bridges based on total probability theorem. Journal of Vibration Engineering, 31(4), 654-661. https://doi.org/10.16385/j.cnki.issn.1004-4523.2018.04.013.
  8. Zhong, J., Jeon, J.S., Ren, W.X. (2018). Risk assessment for a long-span cable-stayed bridge subjected to multiple support excitations. Engineering Structures, 176, 220-230. https://doi.org/10.1016/j.engstruct.2018.08.107.
  9. Zhong, J., Mao, Y., Yuan, X. (2023). Lifetime seismic risk assessment of bridges with construction and aging considerations. Structures, 47, 2259-2272. https://doi.org/10.1016/j.istruc.2022.12.035.
  10. Liang, Y., Yan, J., Niu, H., Li, J. (2019). Time-dependent seismic fragility analysis of offshore bridge piers under mainshock-aftershock sequences. China Earthquake Engineering Journal, 41(4), 887-894.
  11. Guo, H., Feng, R., Dong, Y., Gardoni, P. (2024). Life-cycle seismic resilience prediction of sea-crossing bridge piers exposed to chloride-induced corrosion in marine environments. Structural Safety, 111, 102523. https://doi.org/10.1016/j.strusafe.2024.102523.
  12. Katsimpini, P., Papagiannopoulos, G., Hatzigeorgiou, G. (2024). Seismic response of a cable-stayed bridge with concrete-filled steel tube (CFST) pylons equipped with the seesaw system. GeoHazards, 5(4), 1074-1092. https://doi.org/10.3390/geohazards5040051.
  13. Kafali, C., Grigoriu, M. (2007). Seismic fragility analysis: Application to simple linear and nonlinear systems. Earthquake Engineering & Structural Dynamics, 36(13), 1885-1900. https://doi.org/10.1002/eqe.726.
  14. Shen, G.Y., Yuan, W.C., Pang, Y.T. (2014). (2014). Bridge seismic fragility analysis based on Nataf transformation. Engineering Mechanics, 31(6), 93-100. https://doi.org/10.6052/j.issn.1000-4750.2012.12.0959.
  15. Lu, D., Yu, X., Jia, M., Wang, G. (2014). Seismic risk assessment for a reinforced concrete frame designed according to Chinese codes. Structure and Infrastructure Engineering, 10(10), 1295-1310. https://doi.org/10.1080/15732479.2013.791326.
  16. Duan, L., Zhao, R. (2012). Long-period seismic response analysis of long-span cable-stayed bridges considering soil-structure interaction. Journal of Highway and Transportation Research and Development, 29(5), 76-82.
  17. Ellingwood, B.R. (2001). Earthquake risk assessment of building structures. Reliability Engineering & System Safety, 74(3), 251-262. https://doi.org/10.1016/S0951-8320(01)00105-3.
  18. Cornell, C.A. (1968). Engineering seismic risk analysis. Bulletin of the Seismological Society of America, 58(5), 1583-1606. https://doi.org/10.1785/BSSA0580051583.
  19. Du, Y.G., Clark, L.A., Chan, A.H.C. (2005). Residual capacity of corroded reinforcing bars. Magazine of Concrete Research, 57(3), 135-147. https://doi.org/10.1680/macr.2005.57.3.135.
  20. Li, C., Li, H.N. (2014). Life-cycle aseismic performance evaluation of offshore bridge structures considering chloride ions corrosion effect. Journal of Vibration and Shock, 33(11), 70-77. https://doi.org/10.13465/j.cnki.jvs.2014.11.013. 
  21. Liang, Y., Yan, J.L., Qian, W.X., Cheng, Z.Q., Chen, H. (2021). Analysis of collapse resistance of offshore rigid frame-Continuous girder bridge based on time-varying fragility. Marine Structures, 75, 102844. https://doi.org/10.1016/j.marstruc.2020.102844.
  22. Lu, L.Y., Lin, G.L., Shih, M.H. (2012). An experimental study on a generalized Maxwell model for nonlinear viscoelastic dampers used in seismic isolation. Engineering structures, 34, 111-123. https://doi.org/10.1016/j.engstruct.2011.09.012.
  23. Li, L.F., Wu, W.P., Hu, S.C., Liu, S.M. (2016). Time-dependent seismic fragility analysis of high pier bridge based on chloride ion induced corrosion. Engineering Mechanics, 33(1), 163-170. https://doi.org/10.6052/j.issn.1000-4750.2014.06.0530.
  24. Li, L., Huang, J., Wu, W., Wang, L. (2012). Research on the seismic performance of bridge with high piers and long spans using Incremental Dynamic Analysis. Dizhen Gongcheng yu Gongcheng Zhendong (Earthquake Engineering and Engineering Vibration), 32(1), 68-77. https://doi.org/10.13197/j.eeev.2012.01.010.
  25. Wu, W., Li, L., Shao, X. (2016). Seismic assessment of medium-span concrete cable-stayed bridges using the component and system fragility functions. Journal of Bridge Engineering, 21(6), 04016027. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000888.
  26. Jiao, C.Y. (2008). Performance-based seismic fragility analysis of long-span cable-stayed bridges. Doctoral Dissertation, Tongji University, Shanghai, China.
  27. Wang, X.W. (2017). Failure modes, seismic fragility and risk assessment of a rail-cum-road cable-stayed bridge under seismic action. Doctoral Dissertation, Southwest Jiaotong University, Chengdu, Sichuan, China.
  28. Lu, X., Wei, K., He, H., Qin, S. (2022). Life‐cycle seismic fragility of a cable‐stayed bridge considering chloride‐induced corrosion. Earthquake Engineering and Resilience, 1(1), 60-72. https://doi.org/10.1002/eor2.7.