Bending Fatigue Life Evaluation of Bridge Stay Cables
Publication: Journal of Engineering Mechanics
Volume 148, Issue 3
Abstract
Large-amplitude cable vibrations are remarkably common on cable-stayed bridges due to various aerodynamic loading mechanisms and/or motion of the cable ends. Geometric nonlinearity can be important in the dynamic behavior, and significant local bending stresses can arise at the anchorages, where rotation is restrained. This leads to a concern about the fatigue of these cables from the cyclic stress variations. This paper presents an analytical bending fatigue model for estimating the fatigue life of low-sag cables subjected to harmonic loading. Using this framework, the fatigue life of cables at the anchorage zone and guide deviator (if present) under external loading can be predicted. The results show that the use of a guide deviator can significantly extend the cable’s fatigue life at the anchorage. For cables with a guide deviator subject to severe loading conditions, the fatigue life is limited by the behavior at the guide rather than the anchorage, which is consistent with previous observations. The fatigue life is greatly reduced if the cable jumps to a multimodal dynamic response due to the cable nonlinearity. The single-mode zone where the dynamic response of the cable is always stable in a single mode, leading to a relatively long fatigue life, has been identified. Finally, the effect of cable inclination angle and ratio of cable weight to tension on the fatigue life has been analyzed.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors would like to acknowledge Volodymyr Opanasiuk and Fredrik Fougner for preliminary work on the topic. Gang Shen is supported by a joint China Scholarship Council/University of Bristol postgraduate research scholarship.
References
Bajaj, A. K., and J. M. Johnson. 1992. “On the amplitude dynamics and crisis in resonant motion of stretched strings.” Philos. Trans. R. Soc. London, Ser. A: Phys. Eng. Sci. 338 (1649): 1–41. https://doi.org/10.1098/rsta.1992.0001.
BSI (British Standards Institution). 1993. Design of steel structures—Parts 1–9: Fatigue. BS 7608:1993, Eurocode 3. London: BSI.
Caballero, A., and M. Poser. 2010. “Local bending stresses in stay cables with an elastic guide.” Struct. Eng. Int. 20 (3): 254–259. https://doi.org/10.2749/101686610792016745.
Chen, Y., F. Meng, and X. Gong. 2016. “Interwire wear and its influence on contact behavior of wire rope strand subjected to cyclic bending load.” Wear 368 (Dec): 470–484. https://doi.org/10.1016/j.wear.2016.10.020.
Costello, G. A. 1997. Theory of wire rope. 2nd ed. New York: Springer.
Erena, D., J. Vazquez Valeo, C. Navarro, and J. Dominguez. 2019. “New fatigue device for testing cables: Design and results.” Fatigue Fract. Eng. Mater. Struct. 42 (8): 1826–1837. https://doi.org/10.1111/ffe.13022.
Erena, D., J. Vazquez Valeo, C. Navarro, and J. Dominguez. 2020. “Fatigue and fracture analysis of a seven-wire stainless steel strand under axial and bending loads.” Fatigue Fract. Eng. Mater. Struct. 43 (1): 149–161. https://doi.org/10.1111/ffe.13096.
ESDU 95006 (Engineering Sciences Data Unit 95006). 1995. Fatigue life estimation under variable amplitude loading using cumulative damage calculations. London: IHS Markit Global.
Ghoreishi, S. R., T. Messager, P. Cartraud, and P. Davies. 2007. “Validity and limitations of linear analytical models for steel wire strands under axial loading, using a 3D FE model.” Int. J. Mech. Sci. 49 (11): 1251–1261. https://doi.org/10.1016/j.ijmecsci.2007.03.014.
Gonzalez-Buelga, A., S. A. Neild, D. J. Wagg, and J. H. G. Macdonald. 2008. “Modal stability of inclined cables subjected to vertical support excitation.” J. Sound Vib. 318 (3): 565–579. https://doi.org/10.1016/j.jsv.2008.04.031.
Ibrahim, R. A. 2005. “Nonlinear vibrations of suspended cables—Part III: Random excitation and interaction with fluid flow.” Appl. Mech. Rev. 57 (6): 515–549. https://doi.org/10.1115/1.1804541.
Jiang, C., C. Wu, C. S. Cai, and W. Xiong. 2020. “Fatigue analysis of stay cables on the long-span bridges under combined action of traffic and wind.” Eng. Struct. 207 (Mar): 110212. https://doi.org/10.1016/j.engstruct.2020.110212.
Lilien, J., and A. Pinto da Costa. 1994. “Vibration amplitudes caused by parametric excitation of cable stayed structures.” J. Sound Vib. 174 (1): 69–90. https://doi.org/10.1006/jsvi.1994.1261.
Liu, J., B. Yan, G. Huang, Z. Mou, X. Lv, and H. Zhang. 2020. “Study on mechanical characteristics of conductors with three-dimensional finite-element models.” R. Soc. Open Sci. 7 (5): 1–19. https://doi.org/10.1098/rsos.200309.
Macdonald, J., M. Dietz, and S. Neild. 2010a. “Dynamic excitation of cables by deck and/or tower motion.” Proc. Inst. Civ. Eng. Br. Eng. 163 (2): 101–111. https://doi.org/10.1680/bren.2010.163.2.101.
Macdonald, J. H. G. 2016. “Multi-modal vibration amplitudes of taut inclined cables due to direct and/or parametric excitation.” J. Sound Vib. 363 (Feb): 473–494. https://doi.org/10.1016/j.jsv.2015.11.012.
Macdonald, J. H. G., M. S. Dietz, S. A. Neild, A. Gonzalez-Buelga, A. J. Crewe, and D. J. Wagg. 2010b. “Generalised modal stability of inclined cables subjected to support excitations.” J. Sound Vib. 329 (21): 4515–4533. https://doi.org/10.1016/j.jsv.2010.05.002.
Nair, R., J. Macdonald, and B. Pucknell. 2011. “Structural management of Avonmouth bridge.” In Proc., 35th Annual Symp. of IABSE. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
NCHRP (National Cooperative Highway Research Program). 2005. Inspection and maintenance of bridge stay cable systems. Washington, DC: Transportation Research Board Business Office.
Prato, C. A., and M. A. Ceballos. 2003. “Dynamic bending stresses near the ends of parallel-bundle stay cables.” Struct. Eng. Int. J. Int. Assoc. Br. Struct. Eng. (IABSE) 13 (1): 64–68. https://doi.org/10.2749/101686603777965008.
Raoof, M. 1992. “Free-bending fatigue life estimation of cables at points of fixity.” J. Eng. Mech. 118 (9): 1747–1764. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:9(1747).
Raoof, M., and T. J. Davies. 2014. “The riddle of free-bending fatigue at end terminations to spiral strands.” J. Constr. Steel Res. 95: 256–262. https://doi.org/10.1016/j.jcsr.2013.12.006.
Raoof, M., and Y. P. Huang. 1992. Free bending hysteresis in spiral strands, 380–391. San Francisco: Helical Strands.
Rega, G. 2005a. “Nonlinear vibrations of suspended cables—Part I: Modeling and analysis.” Appl. Mech. Rev. 57 (6): 443–478. https://doi.org/10.1115/1.1777224.
Rega, G. 2005b. “Nonlinear vibrations of suspended cables—Part II: Deterministic phenomena.” Appl. Mech. Rev. 57 (6): 479–514. https://doi.org/10.1115/1.1777225.
SETRA (Service d’Etudes Techniques des Routes et Autoroutes). 2002. Cable stays: Recommendations of French interministerial commission on prestressing. Paris: Center des Techniques des Ouvraes d’Art.
Warnitchai, P., Y. Fujino, and T. Susumpow. 1995. “A nonlinear dynamic-model for cables and its application to a cable-structure system.” J. Sound Vib. 187 (4): 695–712. https://doi.org/10.1006/jsvi.1995.0553.
Weischedel, H., and H. Hohle. 1995. “Quantitative nondestructive in-service evaluation of stay cables of cable-stayed bridges: Methods and practical experience.” In Proc., Soc. Photo-Optical Instrumentation Engineers (SPIE), 226–236. London: International Society for Optics and Photonics.
Winkler, J., G. Fischer, and C. Georgakis. 2012. “Localized bending fatigue behavior of high-strength steel monostrands.” In Proc., 6th Int. Conf. on Bridge Maintenance, Safety and Management, 3992–3999. Milano, Italy: International Conference on Bridge Maintenance, Safety and Management.
Winkler, J., G. Fischer, C. T. Georgakis, and A. Kotas. 2011. “A preliminary bending fatigue spectrum for steel monostrand cables.” J. Int. Assoc. Shell Spatial Struct. 52 (170): 249–254.
Winkler, J., C. Georgakis, G. Fischer, S. Wood, and W. Ghannoum. 2015a. “Structural response of a multi-strand stay cable to cyclic bending load.” Struct. Eng. Int. 25 (2): 141–150. https://doi.org/10.2749/101686614X14043795570138.
Winkler, J., C. T. Georgakis, and G. Fischer. 2015b. “Fretting fatigue behavior of high-strength steel monostrands under bending load.” Int. J. Fatigue 70: 13–23. https://doi.org/10.1016/j.ijfatigue.2014.08.009.
Wood, S. L., and K. H. Frank. 2010. “Experimental investigation of bending fatigue response of grouted stay cables.” J. Bridge Eng. 15 (2): 123–130. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000045.
Yu, Y., Z. Chen, H. Liu, and X. Wang. 2014. “Finite element study of behavior and interface force conditions of seven-wire strand under axial and lateral loading.” Constr. Build. Mater. 66: 10–18. https://doi.org/10.1016/j.conbuildmat.2014.05.009.
Zhu, L., Z. Zhu, and C. Kang. 2014. “Behavior and construction of stay cables in Shiyan stadium.” In Proc., 3rd Int. Conf. on Mechanical, Control, and Electronic Information (ICMCEI), 1093–1096. London: Applied Mechanics and Materials.
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© 2021 American Society of Civil Engineers.
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Received: Mar 11, 2021
Accepted: Oct 3, 2021
Published online: Dec 31, 2021
Published in print: Mar 1, 2022
Discussion open until: May 31, 2022
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