Technical Papers
Sep 25, 2024

Corrosion Fatigue Evaluation of Suspender Cables in Railway Bridges Considering the Effect of Train-Induced Flexural Vibration

Publication: Journal of Bridge Engineering
Volume 29, Issue 12

Abstract

An increasing number of arch and suspension bridges have been built in railway networks. Suspender cables serve as the critical load-transmitting component in these cable-supported bridges, which are subjected to a combination of the adverse impacts of train-induced fatigue stress and a corrosive environment. However, little research effort has been made on the corrosion fatigue performance of railway bridge suspender cables. This paper proposes an approach for the corrosion fatigue evaluation of the suspenders that integrates a sophisticated fatigue stress computational model and an enhanced corrosion fatigue model. The dynamic stresses of the suspenders are computed using a three-dimensional (3D) train–bridge interaction (TBI) model, which is established to consider the train-induced flexural vibrations on the suspender. Then, the corrosion fatigue damage of steel wires is characterized by a continuum damage mechanics-based model. The condition for the transition from pitting to fatigue crack is derived. Based on this, the corrosion fatigue assessment framework for suspenders is formulated, which can describe the time-dependent damage evolution that considers significant effects. A tied-arch railway bridge is investigated to showcase the effectiveness of the proposed approach and gain insights into the corrosion fatigue performance of the suspender cables in railway bridges. The field test data are employed to validate the stress computational model. In addition, the time-dependent corrosion fatigue evolution and service life of the suspenders are obtained. The results show that the suspender flexural vibrations cause considerable variations in the equivalent stress range and number of stress cycles. The corrosion fatigue life (CFL) of the critical suspender is reduced by 25% on average due to train-induced flexural vibrations.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This study was supported by the National Natural Science Foundation of China (Grant No. 51708112).

References

Attarha, M. J., and I. Sattari-Far. 2024. “Comparison of the continuum damage and fracture mechanics in fatigue assessment of components containing residual stresses.” Mech. Based Des. Struct. Mach. 52 (8): 5518–5535. https://doi.org/10.1080/15397734.2023.2255662.
Bai, N. N., H. Li, J. M. Ma, C. M. Lan, and B. F. Spencer Jr. 2022. “Fatigue life evaluation model for high-strength steel wire considering different levels of corrosion.” Struct. Infrastruct. Eng. 19 (3): 409–419. https://doi.org/10.1080/15732479.2021.1951773.
Cao, C. 2005. Materials corrosion under natural environment in China. Beijing: Chemical Industry Press.
CEN (European Committee for Standardization). 2006. Design of steel structures. Part 1-11: Design of structures with tension components. Brussels, Belgium: CEN.
Chaboche, J. L., and P. M. A. Lesne. 1988. “A non-linear continuous fatigue damage model.” Fatigue Fract. Eng. Mater. Struct. 11 (1): 1–17. https://doi.org/10.1111/j.1460-2695.1988.tb01216.x.
Chen, C., Z. Y. Jie, and K. N. Wang. 2021. “Fatigue life evaluation of high-strength steel wires with multiple corrosion pits based on the TCD.” J. Constr. Steel Res. 186: 106913. https://doi.org/10.1016/j.jcsr.2021.106913.
Cui, C. J., A. R. Chen, and R. J. Ma. 2020. “An improved continuum damage mechanics model for evaluating corrosion-fatigue life of high-strength steel wires in the real service environment.” Int. J. Fatigue 135: 105540. https://doi.org/10.1016/j.ijfatigue.2020.105540.
Deng, L., W. C. Yan, and L. Nie. 2019. “A simple corrosion fatigue design method for bridges considering the coupled corrosion-overloading effect.” Eng. Struct. 178: 309–317. https://doi.org/10.1016/j.engstruct.2018.10.028.
Deng, Y., A.-Q. Li, D.-m. Feng, X. Chen, and M. Zhang. 2020. “Service life prediction for steel wires in hangers of a newly built suspension bridge considering corrosion fatigue and traffic growth.” Struct. Control Health Monit. 27 (12): e2642. https://doi.org/10.1002/stc.2642.
Duan, Y. F., S. K. Wu, S. M. Wang, J. D. Yau, Y. Q. Ni, and C. B. Yun. 2022. “Train-induced dynamic behavior and fatigue analysis of cable hangers for a tied-arch bridge based on vector form intrinsic finite element.” Int. J. Struct. Stab. Dyn. 22 (12): 2250136. https://doi.org/10.1142/S021945542250136X.
Fan, C., Z. X. Li, and Y. Wang. 2020. “A multi-scale corrosion fatigue damage model of high-strength bridge wires.” Int. J. Damage Mech. 29 (6): 887–901. https://doi.org/10.1177/1056789519890064.
Fang, J., C. X. Liu, K. Y. Li, S. Zou, B. Sun, and Y. Li. 2024. “A probabilistic life prediction framework for vibration fatigue of turbine blade based on refined polynomial chaos expansion.” Fatigue Fract. Eng. Mater. Struct. 47 (6): 1979–1993. https://doi.org/10.1111/ffe.14275.
Gou, H. Y., H. Long, Y. Bao, G. D. Chen, and Q. H. Pu. 2019. “Dynamic behavior of hybrid framed arch railway bridge under moving trains.” Struct. Infrastruct. Eng. 15 (8): 1015–1024. https://doi.org/10.1080/15732479.2019.1594314.
Gutman, E. 1998. Mechanochemistry of materials. Cambridge, UK: Cambridge International Science Publishing.
Hong, H. P. 1999. “Application of the stochastic process to pitting corrosion.” Corrosion 55 (1): 10–16. https://doi.org/10.5006/1.3283958.
Invernizzi, S., F. Montagnoli, and A. Carpinteri. 2022. “Very high cycle corrosion fatigue study of the collapsed Polcevera Bridge Italy.” J. Bridge Eng. 27 (1): 04021102. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001807.
ISO (International Organization for Standardization). 2012. Corrosion of metals and alloys, 2012. Corrosivity of atmospheres—Classification, determination and estimation. ISO 9223:2012. Geneva: ISO.
Jiang, C., C. Wu, C. S. Cai, X. Jiang, and W. Xiong. 2020. “Corrosion fatigue analysis of stay cables under combined loads of random traffic and wind.” Eng. Struct. 206: 110153. https://doi.org/10.1016/j.engstruct.2019.110153.
Jiang, C., C. Wu, and X. Jiang. 2018. “Experiment research on uniform corrosion and pitting corrosion of high-strength bridge wires.” J. Tongji Univ. (Nat. Sci.) 46 (12): 1615–1621.
Jie, Z. Y., C. Chen, F. Berto, K. N. Wang, and X. Peng. 2022. “Effect of stress ratios on corrosion fatigue life of high-strength steel wires.” Fatigue Fract. Eng. Mater. Struct. 45 (2): 593–606. https://doi.org/10.1111/ffe.13620.
Kachanov, L. M. 1986. Introduction to continuum damage mechanics. Dordrecht, Netherlands: Martinus Nijhoff Publishers.
Lacarbonara, W., and V. Colone. 2007. “Dynamic response of arch bridges traversed by high-speed trains.” J. Sound Vib. 304 (1-2): 72–90. https://doi.org/10.1016/j.jsv.2007.01.037.
Lan, C. M., Y. Xu, C. P. Liu, H. Li, and B. F. Spencer Jr. 2018. “Fatigue life prediction for parallel-wire stay cables considering corrosion effects.” Int. J. Fatigue 114: 81–91. https://doi.org/10.1016/j.ijfatigue.2018.05.020.
Li, H., C. M. Lan, Y. Ju, and D. S. Li. 2012. “Experimental and numerical study of the fatigue properties of corroded parallel wire cables.” J. Bridge Eng. 17 (2): 211–220. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000235.
Li, H. L., D. M. Frangopol, M. Soliman, and H. Xia. 2016. “Fatigue reliability assessment of railway bridges based on probabilistic dynamic analysis of a coupled train-bridge system.” J. Struct. Eng. 142 (3): 04015158. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001435.
Li, H. L., M. Soliman, D. M. Frangopol, and H. Xia. 2017. “Fatigue damage in railway steel bridges: Approach based on a dynamic train-bridge coupled model.” J. Bridge Eng. 22 (11): 06017006. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001144.
Li, H. L., T. Y. Wang, and G. Wu. 2022. “A Bayesian deep learning approach for random vibration analysis of bridges subjected to vehicle dynamic interaction.” Mech. Syst. Signal Process. 170: 108799. https://doi.org/10.1016/j.ymssp.2021.108799.
Li, H. L., T. Y. Wang, and H. Yan. 2023. “Dynamic analysis of coupled train and cracked bridge systems using multiscale finite element modeling.” Int. J. Struct. Stab. Dyn. 24 (6): 2450057.
Li, H. L., H. Yan, and G. Wu. 2024. “Dynamic analysis of the hangers in high-speed railway arch bridge based on train-bridge interaction simulation and field measurement.” Int. J. Struct. Stab. Dyn.: 2541001. https://doi.org/10.1142/S0219455425410019.
Li, L. J. 2022. Report on the inspection of four bridges with special structures in the Datong-Xi’an high speed railway [In Chinese.]. Beijing: China Academy of Railway Sciences.
Li, R., C. Q. Miao, Z. X. Feng, and T. H. Wei. 2021. “Experimental study on the fatigue behavior of corroded steel wire.” J. Constr. Steel Res. 176: 106375. https://doi.org/10.1016/j.jcsr.2020.106375.
Li, X. Z., H. N. He, M. Wang, and P. Wang. 2024. “Influence of long-span bridge deformation on driving quality of high-speed trains.” Int. J. Rail Transp. 12 (4): 690–708. https://doi.org/10.1080/23248378.2023.2198532.
Liu, X. D., W. S. Han, Y. G. Yuan, X. Chen, and Q. Xie. 2021a. “Corrosion fatigue assessment and reliability analysis of short suspender of suspension bridge depending on refined traffic and wind load condition.” Eng. Struct. 234: 111950. https://doi.org/10.1016/j.engstruct.2021.111950.
Liu, Z. X., T. Guo, M. H. Hebdon, and Z. L. Zhang. 2018. “Corrosion fatigue analysis and reliability assessment of short suspenders in suspension and arch bridges.” J. Perform. Constr. Facil 32 (5): 04018060. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001203.
Liu, Z. X., T. Guo, X. M. Yu, X. L. Huang, and J. Correia. 2021b. “Corrosion fatigue and electrochemical behaviour of steel wires used in bridge cables.” Fatigue Fract. Eng. Mater. Struct. 44 (1): 63–73. https://doi.org/10.1111/ffe.13331.
Ma, Y. F., Y. He, G. D. Wang, L. Wang, J. R. Zhang, and D. Lee. 2023. “Corrosion fatigue crack growth prediction of bridge suspender wires using Bayesian Gaussian process.” Int. J. Fatigue 168: 107377. https://doi.org/10.1016/j.ijfatigue.2022.107377.
Malm, R., and A. Andersson. 2006. “Field testing and simulation of dynamic properties of a tied arch railway bridge.” Eng. Struct. 28 (1): 143–152. https://doi.org/10.1016/j.engstruct.2005.07.011.
Milone, A., R. Landolfo, and F. Berto. 2022. “Methodologies for the fatigue assessment of corroded wire ropes: A state-of-the-art review.” Structures 37: 787–794. https://doi.org/10.1016/j.istruc.2022.01.044.
Peng, D., R. Jones, R. R. K. Singh, F. Berto, and A. J. McMillan. 2018. “On the interaction between corrosion and fatigue which determines the remaining life of bridges.” Fatigue Fract. Eng. Mater. Struct. 41 (2): 314–322. https://doi.org/10.1111/ffe.12680.
Rabotnov, Y. N. 1963. “On the equations of state for creep.” Prog. Appl. Mech. 178 (1): 117–122.
Radomski, W., and R. Oleszek. 2016. “Dynamic response of an arch bridge under hslm high-speed train loading according to the European standards.” In Proc. 8th Int. Conf. on Arch Bridges, 1069–1078. Wrocław, Poland: ARCH 2016 Secretariat.
Shi, P., and S. Mahadevan. 2001. “Damage tolerance approach for probabilistic pitting corrosion fatigue life prediction.” Eng. Fract. Mech. 68 (13): 1493–1507. https://doi.org/10.1016/S0013-7944(01)00041-8.
Wang, G. D., Y. F. Ma, L. Wang, and J. R. Zhang. 2021. “Experimental study and residual fatigue life assessment of corroded high-tensile steel wires using 3D scanning technology.” Eng. Fail. Anal. 124: 105335. https://doi.org/10.1016/j.engfailanal.2021.105335.
Wang, H., R. L. Shen, L. H. Bai, L. Wang, and W. Chen. 2023. “Study on the movements and bending stresses of hangers and control measures in self-anchored rail suspension bridges.” Eng. Struct. 275: 115304. https://doi.org/10.1016/j.engstruct.2022.115304.
Wang, H. F., Q. Chen, A. K. Agrawal, S. El-Tawil, B. Bhattacharya, and W. Wong. 2022. “Dynamic response and progressive collapse of a long-span suspension bridge induced by suspender loss.” J. Struct. Eng. 148 (6): 05022001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003367.
Wang, H. T., and E.-H. Han. 2013. “Simulation of metastable corrosion pit development under mechanical stress.” Electrochim. Acta 90: 128–134. https://doi.org/10.1016/j.electacta.2012.11.056.
Xu, J., and W. Z. Chen. 2013. “Behavior of wires in parallel wire stayed cable under general corrosion effects.” J. Constr. Steel Res. 85: 40–47. https://doi.org/10.1016/j.jcsr.2013.02.010.
Xue, S. L., R. L. Shen, W. Chen, and R. S. Miao. 2020. “Corrosion fatigue failure analysis and service life prediction of high strength steel wire.” Eng. Fail. Anal. 110: 104440. https://doi.org/10.1016/j.engfailanal.2020.104440.
You, Y. H., B. R. Wang, and H. Y. Hu. 2018. “Study on pit depth and statistical characteristics of carbon steel.” [In Chinese] Metallic Funct. Mater. 25 (1): 18–22.
Yu, Y. J., M. K. Man, F. T. Zhao, S. W. Lin, and F. Q. Guo. 2020. “Corrosive degradation evaluation of semi-parallel wire cables with high-density polyethylene sheath breaks.” Eng. Fail. Anal. 116: 104714. https://doi.org/10.1016/j.engfailanal.2020.104714.
Zhang, H., L. J. Yao, X. L. Zheng, M. J. Shen, and X. Xie. 2023. “Corrosion-fatigue analysis of wires in bridge cables considering time-dependent electrochemical corrosion process.” J. Eng. Mech. 149 (4): 04023019. https://doi.org/10.1061/JENMDT.EMENG-6806.
Zhang, J. N. 2016. “Study on corrosion and fatigue properties of high-strength galvanized steel wire used for cable of bridge.” [In Chinese.] Ph.D. thesis, School of Infrastructure Engineering, Dalian University of Technology.
Zhang, W., C. S. Cai, and F. Pan. 2013. “Fatigue reliability assessment for long-span bridges under combined dynamic loads from winds and vehicles.” J. Bridge Eng. 18 (8): 735–747. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000411.
Zhang, W., and H. Yuan. 2014. “Corrosion fatigue effects on life estimation of deteriorated bridges under vehicle impacts.” Eng. Struct. 71: 128–136. https://doi.org/10.1016/j.engstruct.2014.04.004.
Zheng, Y. Q., and Y. Wang. 2020. “Damage evolution simulation and life prediction of high-strength steel wire under the coupling of corrosion and fatigue.” Corros. Sci. 164: 108368. https://doi.org/10.1016/j.corsci.2019.108368.
Zhou, X. H., M. Elchalakani, Q. X. Li, J. J. Ou, N. C. Deng, and Y. M. Zhou. 2022. “Time-dependent reliability analysis of the suspender in half-through arch bridge considering temperature effect.” Structures 46: 408–420. https://doi.org/10.1016/j.istruc.2022.10.057.
Zhu, Z. H., T. T. Zhao, L. D. Wang, H.-Q. Xu, and Z.-W. Yu. 2017. “Stress impact factor of the suspenders of heavy-haul railway arch bridge based on random vibration model.” [In Chinese.] J. Vibr. Eng. 30 (6): 955–964.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 29Issue 12December 2024

History

Received: Mar 24, 2024
Accepted: Jul 23, 2024
Published online: Sep 25, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 25, 2025

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Associate Professor, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education and National and Local Joint Engineering Research Center for Intelligent Construction and Maintenance, School of Civil Engineering, Southeast Univ., Nanjing 211189, China (corresponding author). Email: [email protected]
Graduate Student, School of Civil Engineering, Southeast Univ., Nanjing 211189, China. Email: [email protected]
Xiaopeng Wang [email protected]
Graduate Student, School of Civil Engineering, Southeast Univ., Nanjing 211189, China. Email: [email protected]
Senior Engineer, Railway Engineering Research Institute, China Academy of Railway Sciences Co. Ltd., Beijing 100081, China. Email: [email protected]

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