Early Warning for Abnormal Cable Forces of Cable-Stayed Bridges Considering Structural Temperature Changes
Publication: Journal of Bridge Engineering
Volume 28, Issue 2
Abstract
The deterioration or damage of stay cables can threaten the safety of bridges. It is difficult to judge whether a stay cable is deteriorated only by the variation in cable force because cable force also varies with temperature. Therefore, an early warning method for abnormal cable forces of cable-stayed bridges considering structural temperature changes is proposed in this paper. In the proposed method, a baseline model is established to characterize the normal relationship between the healthy cable force and structural temperatures, so the abnormal cable force can be detected by inspecting the residual between the identified cable force to be detected and the cable force predicted by the baseline model. First, the frequency–temperature relationship (FTR) model obeyed by a healthy cable is established by analyzing the mechanism of cable force change caused by structural temperature changes in bridge components from the perspective of deformation coordination. Then, the prediction error is inspected by constructing a mean value control chart of the modeling error generated from the baseline FTR model. An early warning will be triggered when the prediction error exceeds the control limits. Finally, the proposed method is applied to an actual cable-stayed bridge to verify its effectiveness. The results show that the modeling and prediction capabilities of the established FTR model are satisfactory and that the abnormal changes in cable forces can be detected by the proposed early warning method with satisfactory accuracy.
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Acknowledgments
This research work was jointly supported by the National Natural Science Foundation of China (Grant Nos. 52250011, 51978128, and 52078100) and the Fundamental Research Funds for the Central Universities (Grant Nos. DUT22ZD213 and DUT22QN235).
References
Burg, J. P. 1975. Maximum entropy spectral analysis. Stanford, CA: Stanford Univ.
Cao, Y., J. Yim, Y. Zhao, and M. L. Wang. 2011. “Temperature effects on cable stayed bridge using health monitoring system: A case study.” Struct. Health Monit. 10 (5): 523–537. https://doi.org/10.1177/1475921710388970.
Chen, C. C., W. H. Wu, C. Y. Liu, and G. Lai. 2017. “Elimination of environmental temperature effect from the variation of stay cable force based on simple temperature measurements.” Smart Struct. Syst. 19 (2): 137–149. https://doi.org/10.12989/sss.2017.19.2.137.
Cho, S., J. Yim, S. W. Shin, H. J. Jung, C. B. Yun, and M. L. Wang. 2013. “Comparative field study of cable tension measurement for a cable-stayed bridge.” J. Bridge Eng. 18 (8): 748–757. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000421.
Fan, Z. Y., Q. Huang, Y. Ren, Z. Y. Zhu, and X. Xu. 2020. “A cointegration approach for cable anomaly warning based on structural health monitoring data: An application to cable-stayed bridges.” Adv. Struct. Eng. 23 (13): 2789–2802. https://doi.org/10.1177/1369433220924793.
Farrar, C. R., and K. Worden. 2007. “An introduction to structural health monitoring.” Philos. Trans. R. Soc. A 365 (1851): 303–315. https://doi.org/10.1098/rsta.2006.1928.
Feng, D., T. Scarangello, M. Q. Feng, and Q. Ye. 2017. “Cable tension force estimate using novel noncontact vision-based sensor.” Measurement 99: 44–52. https://doi.org/10.1016/j.measurement.2016.12.020.
Härdle, W. K., and L. Simar. 2019. Applied multivariate statistical analysis. Berlin: Springer.
Hou, N., L. Sun, and L. Chen. 2020. “Cable reliability assessments for cable-stayed bridges using identified tension forces and monitored loads.” J. Bridg. Eng. 25 (7): 1–12. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001573.
Huang, H. B., T. H. Yi, H. N. Li, and H. Liu. 2018. “New representative temperature for performance alarming of bridge expansion joints through temperature–displacement relationship.” J. Bridge Eng. 23 (7): 04018043. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001258.
Kangas, S., A. Helmicki, V. Hunt, R. Sexton, and J. Swanson. 2012. “Cable-stayed bridges: Case study for ambient vibration-based cable tension estimation.” J. Bridge Eng. 17 (6): 839–846. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000364.
Kim, B. H., and T. Park. 2007. “Estimation of cable tension force using the frequency-based system identification method.” J. Sound Vib. 304 (3–5): 660–676. https://doi.org/10.1016/j.jsv.2007.03.012.
Li, J. X., T. H. Yi, C. X. Qu, H. Liu, G. H. Zhang, and J. G. Han. 2022. “Performance alarming for stay cables based on a frequency–deformation relationship model.” J. Bridge Eng. 27 (9): 04022078. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001926.
Liu, J., Y. Liu, L. Jiang, and N. Zhang. 2019. “Long-term field test of temperature gradients on the composite girder of a long-span cable-stayed bridge.” Adv. Struct. Eng. 22 (13): 2785–2798. https://doi.org/10.1177/1369433219851300.
Ni, Y. Q., X. G. Hua, K. Y. Wong, and J. M. Ko. 2007. “Assessment of bridge expansion joints using long-term displacement and temperature measurement.” J. Perform. Constr. Facil. 21 (2): 143–151. https://doi.org/10.1061/(ASCE)0887-3828(2007)21:2(143).
Treyssède, F. 2018. “Finite element modeling of temperature load effects on the vibration of local modes in multi-cable structures.” J. Sound Vib. 413: 191–204. https://doi.org/10.1016/j.jsv.2017.10.022.
Wang, J. F., J. T. Zhang, R. Q. Xu, and Z. X. Yang. 2019. “Evaluation of thermal effects on cable forces of a long-span prestressed concrete cable-stayed bridge.” J. Perform. Constr. Facil. 33 (6): 04019072. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001348.
Wu, G. M., T. H. Yi, D. H. Yang, H. N. Li, and H. Liu. 2021. “Early warning method for bearing displacement of long-span bridges using a proposed time-varying temperature–displacement model.” J. Bridge Eng. 26 (9): 04021068. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001763.
Wu, W. H., C. C. Chen, J. W. Jhou, and G. Lai. 2018. “A rapidly convergent empirical mode decomposition method for analyzing the environmental temperature effects on stay cable force.” Comput. Aided Civ. Inf. 33 (8): 672–690. https://doi.org/10.1111/mice.12355.
Xu, Z. D., and Z. Wu. 2007. “Simulation of the effect of temperature variation on damage detection in a long-span cable-stayed bridge.” Struct. Health Monit. 6 (3): 177–189. https://doi.org/10.1177/1475921707081107.
Yang, D. H., T. H. Yi, H. N. Li, and Y. F. Zhang. 2018. “Monitoring and analysis of thermal effect on tower displacement in cable-stayed bridge.” Measurement 115: 249–257. https://doi.org/10.1016/j.measurement.2017.10.036.
Yang, X. M., T. H. Yi, C. X. Qu, H. N. Li, and H. Liu. 2020. “Modal identification of high-speed railway bridges through free-vibration detection.” J. Eng. Mech. 146 (9): 04020107. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001847.
Yi, T. H., H. B. Huang, and H. N. Li. 2017. “Development of sensor validation methodologies for structural health monitoring: A comprehensive review.” Measurement 109: 200–214. https://doi.org/10.1016/j.measurement.2017.05.064.
Yi, T. H., H. N. Li, and C. W. Wang. 2016. “Multiaxial sensor placement optimization in structural health monitoring using distributed wolf algorithm.” Struct. Control Health Monit. 23 (4): 719–734. https://doi.org/10.1002/stc.1806.
Yim, J., M. L. Wang, S. W. Shin, C. B. Yun, H. J. Jung, J. T. Kim, and S. H. Eem. 2013. “Field application of elasto-magnetic stress sensors for monitoring of cable tension force in cable-stayed bridges.” Smart Struct. Syst. 12 (3–4): 465–482. https://doi.org/10.12989/sss.2013.12.3_4.465.
Zhang, S., J. Zhou, H. Zhang, L. Liao, and L. Liu. 2021. “Influence of cable tension history on the monitoring of cable tension using magnetoelastic inductance method.” Struct. Health Monit. 20 (6): 3392–3405. https://doi.org/10.1177/1475921720987987.
Zhou, H. F., Y. Q. Ni, and J. M. Ko. 2010. “Constructing input to neural networks for modeling temperature-caused modal variability: Mean temperatures, effective temperatures, and principal components of temperatures.” Eng. Struct. 32 (6): 1747–1759. https://doi.org/10.1016/j.engstruct.2010.02.026.
Zhou, Y., and L. Sun. 2019. “Insights into temperature effects on structural deformation of a cable-stayed bridge based on structural health monitoring.” Struct. Health Monit. 18 (3): 778–791. https://doi.org/10.1177/1475921718773954.
Zui, H., T. Shinke, and Y. Namita. 1996. “Practical formulas for estimation of cable tension by vibration method.” J. Struct. Eng. 122 (6): 651–656. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:6(651).
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 28 • Issue 2 • February 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Apr 14, 2022
Accepted: Sep 21, 2022
Published online: Nov 16, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 16, 2023
ASCE Technical Topics:
- Bridge engineering
- Bridges
- Bridges (by type)
- Cable stayed bridges
- Cables
- Design (by type)
- Deterioration
- Engineering fundamentals
- Equipment and machinery
- Errors (statistics)
- Materials characterization
- Materials engineering
- Mathematics
- Measurement (by type)
- Model accuracy
- Models (by type)
- Statistics
- Structural design
- Structural engineering
- Structural models
- Structural safety
- Temperature effects
- Temperature measurement
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Cited by
- Lan-Ying Luo, Yan-Liang Du, Ting-Hua Yi, Song-Han Zhang, Joint Identification of Cable Force and Bending Stiffness Using Vehicle-Induced Cable–Beam Vibration Responses, Journal of Bridge Engineering, 10.1061/JBENF2.BEENG-6555, 29, 2, (2024).