Enhancing Cable-Stayed Bridge Structural Health Assessment Using Phase Space Trajectory and Load Pattern Variability

Document Type : Research Papers

Authors

1 Ph.D. Candidate, Department of Civil Engineering, Faculty of Engineering, University of Qom, Qom, Iran.

2 Associate Professor, Department of Civil Engineering, Faculty of Engineering, University of Qom, Qom, Iran.

3 Associate Professor, School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran.

Abstract

A novel approach for assessing the structural health of cables in cable-stayed bridges, under varying load patterns, was presented. The method aimed to evaluate cable conditions by utilizing phase space analysis while minimizing traffic disruptions and reducing the necessity for extensive sensor deployment. Through comprehensive numerical investigations on the Manavgat cable-stayed bridge, the efficacy of the proposed method was demonstrated. For this purpose, the time-domain responses of the deck were utilized. The combination of Change in Phase Space Topology (CPST) and Mahalanobis Distance (MD) indices was applied to detect cable damage by discerning nuanced deviations in phase space trajectories. The results revealed that both the MD and CPST indices exhibited impressive accuracy in identifying damage severity and location. To emphasize the robustness of the phase space-based damage detection method, a comparative analysis between the CPST and modal parameters was conducted. At the 10% damage level, the accuracy of CPST increased by 84.5% compared to the first mode frequency of the structure in load state 1. It highlighted the high sensitivity of CPST in cable damage detection.

Keywords

References

AASHTO. (2008). LRFD bridge design specifications, American Association of State Highway and Transportation Officials, Washington, DC. 
Abarbanel, H. (2012). Analysis of observed chaotic data, Springer Science and Business Media.
Australasian Railway Association. (1992). Bridge design code, Austroads, Sydney, Australia.
Bakhshizadeh, A. and Sadeghi, K. (2023). “Health-monitoring methods for long-span cable-stayed bridges”, Infrastructure Asset Management, 11(1), 41-54, https://doi.org/10.1680/jinam.23.00030.
Bakhshizadeh, A., Sadeghi, K., Ahmadi, S. and Royaei, J. (2023). “Damage identification in long-span cable-stayed bridges under multiple support excitations”, International Journal of Civil Engineering, 21, 1275-1290, https://doi.org/10.1007/s40999-023-00823-7.
Bedon, C., Dilena, M. and Morassi, A. (2016). “Ambient vibration testing and structural identification of a cable-stayed bridge”, Meccanica, 51(11), 2777-2796, https://doi.org/10.1007/s11012-016-0430-2.
Broomhead, D.S. and King, G.P. (1986). “Extracting qualitative dynamics from experimental data”, Physica D: Nonlinear Phenomena, 20(2-3), 217-236, https://doi.org/10.1016/0167-2789(86)90031-X.
Cheng, Y., Su, Z. and Zhang, J. (2024). “Mode shape-aided cable force estimation of a double-hanger system using a vision-based monitoring method”, Measurement, 227, 114214, https://doi.org/10.1016/j.measurement.2024.114214.
De Maesschalck, R., Jouan-Rimbaud, D. and Massart, D.L. (2000). “The mahalanobis distance”, Chemometrics and Intelligent Laboratory Systems, 50(1), 1-18, https://doi.org/10.1016/S0169-7439(99)00047-7.
Elkady, A.Z., Youssef, A.F., Abuelnadr, I., DePeder, D. and Seleemah, A.A. (2023). “Optimum location of seismic isolation for manavgat cable-stayed bridge”, International Journal of Advanced Engineering, Management and Science, 9(11), 39-58, https://doi.org/10.22161/ijaems.911.3.
Fathali, M.A., Dehghani, E. and Hoseini Vaez, S.R. (2020). “An approach for adjusting the tensile force coefficient in equivalent static cable-loss analysis of the cable-stayed bridges”, Structures, 25, 720-729, https://doi.org/10.1016/j.istruc.2020.03.054.
George, R.C., Mishra, S.K. and Dwivedi, M. (2018). “Mahalanobis distance among the phase portraits as damage feature”, Structural Health Monitoring, 17(4), 869-887, https://doi.org/10.1177/1475921717722743.
He, W.Y., Ren, W.X. and Zhu, S. (2017). “Baseline-free damage localization method for statically determinate beam structures using dual-type response induced by quasi-static moving load”, Journal of Sound and Vibration, 400, 58-70, https://doi.org/10.1016/j.jsv.2017.03.049.
He, Z., Li, W., Salehi, H., Zhang, H., Zhou, H. and Jiao, P. (2022). “Integrated structural health monitoring in bridge engineering”, Automation in Construction, 136, 104168, https://doi.org/10.1016/j.autcon.2022.104168.
Hong, W., Wu, Z., Yang, C., Wan, C. and Wu, G. (2012). “Investigation on the damage identification of bridges using distributed long-gauge dynamic macrostrain response under ambient excitation”, Journal of Intelligent Material Systems and Structures, 23(1), 85-103, https://doi.org/10.1177/1045389X11430743.
Jana, D., Nagarajaiah, S. and Yang, Y. (2022). “Computer vision‐based real‐time cable tension estimation algorithm using complexity pursuit from video and its application in fred‐hartman cable‐stayed bridge”, Structural Control and Health Monitoring, 29(9), e2985, https://doi.org/10.1002/stc.2985.
Jiang, A.H., Huang, X.C., Zhang, Z.H., Li, J., Zhang, Z.Y. and Hua, H.X. (2010). “Mutual information algorithms”, Mechanical Systems and Signal Processing, 24(8), 2947-2960, https://doi.org/10.1016/j.ymssp.2010.05.015.
Kordi, A. and Mahmoudi, M. (2022). “Damage detection in truss bridges under moving load using time history response and members influence line curves”, Civil Engineering Infrastructures Journal, 55(1), 183-194, https://doi.org/10.22059/ceij.2021.314109.1723.
Lei, X., Siringoringo, D.M., Sun, Z. and Fujino, Y. (2023). “Displacement response estimation of a cable-stayed bridge subjected to various loading conditions with one-dimensional residual convolutional autoencoder method”, Structural Health Monitoring, 22(3), 1790-1806, https://doi.org/10.1177/14759217221116637.
Li, D., Cao, M., Manoach, E., Jia, H., Ragulskis, M., Shen, L. and Sha, G. (2021). “A multiscale reconstructed attractors-based method for identification of structural damage under impact excitations”, Journal of Sound and Vibration, 495, 115925, https://doi.org/10.1016/j.jsv.2020.115925.
Li, S., Li, H., Liu, Y., Lan, C., Zhou, W. and Ou, J. (2014). “SMC structural health monitoring benchmark problem using monitored data from an actual cable‐stayed bridge”, Structural Control and Health Monitoring, 21(2), 156-172, https://doi.org/10.1002/stc.1559.
Nazarian, E., Ansari, F. and Azari, H. (2016). “Recursive optimization method for monitoring of tension loss in cables of cable-stayed bridges”, Journal of Intelligent Material Systems and Structures, 27(15), 2091-2101, https://doi.org/10.1177/1045389X15620043.
Nichols, J.M. (2003). “Structural health monitoring of offshore structures using ambient excitation”, Applied Ocean Research, 25(3), 101-114, https://doi.org/10.1016/j.apor.2003.08.003.
Nie, Z., Hao, H. and Ma, H. (2012). “Using vibration phase space topology changes for structural damage detection”, Structural Health Monitoring, 11(5), 538-557, https://doi.org/10.1177/1475921712447590.
Nie, Z., Hao, H. and Ma, H. (2013). “Structural damage detection based on the reconstructed phase space for reinforced concrete slab: Experimental study”, Journal of Sound and Vibration, 332(4), 1061-1078, https://doi.org/10.1016/j.jsv.2012.08.024.
Pamwani, L. and Shelke, A. (2018). “Damage detection using dissimilarity in phase space topology of dynamic response of structure subjected to shock wave loading”, Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 1(4), 1-13, https://doi.org/10.1115/1.4040472.
Pan, H., Azimi, M., Yan, F. and Lin, Z. (2018). “Time-frequency-based data-driven structural diagnosis and damage detection for cable-stayed bridges”, Journal of Bridge Engineering, 23(6), https://doi.org/10.1061/(ASCE)BE.1943-5592.0001199.
Paul, B., George, R.C. and Mishra, S.K. (2017). “Phase space interrogation of the empirical response modes for seismically excited structures”, Mechanical Systems and Signal Processing, 91, 250-265, https://doi.org/10.1016/j.ymssp.2016.12.008.
Peng, Z., Li, J. and Hao, H. (2022). “Data driven structural damage assessment using phase space embedding and koopman operator under stochastic excitations”, Engineering Structures, 255, 113906, https://doi.org/10.1016/j.engstruct.2022.113906.
Prawin, J., Lakshmi, K. and Rao, A.R.M. (2020). “Structural damage diagnosis under varying environmental conditions with very limited measurements”, Journal of Intelligent Material Systems and Structures, 31(5), 665-686, https://doi.org/10.1177/1045389X19898268.
Rhodes, C. and Morari, M. (1997). “The false nearest neighbors algorithm: An overview”, Computers & Chemical Engineering, 21, S1149-S1154, https://doi.org/10.1016/S0098-1354(97)87657-0.
Rinaldi, C., Lepidi, M., Potenza, F. and Gattulli, V. (2023). “Identification of cable tension through physical models and non-contact measurements”, Mechanical Systems and Signal Processing, 205, 110867, https://doi.org/10.1016/j.ymssp.2023.110867.
Saidin, S.S., Kudus, S.A., Jamadin, A., Anuar, M.A., Amin, N.M., Ya, A.B.Z. and Sugiura, K. (2023). “Vibration-based approach for structural health monitoring of ultra-high-performance concrete bridge”, Case Studies in Construction Materials, 18, e01752, https://doi.org/10.1016/j.cscm.2022.e01752.
Takens, F. (1981). “Detecting strange attractors in turbulence”, Dynamical Systems and Turbulence, Warwick, Berlin, Heidelberg, https://doi.org/10.1007/BFb0091924.
Tuttipongsawat, P., Sasaki, E., Suzuki, K., Fukuda, M., Kawada, N. and Hamaoka, K. (2019). “PC tendon damage detection based on phase space topology changes in different frequency ranges”, Journal of Advanced Concrete Technology, 17(8), 474-488, https://doi.org/10.3151/jact.17.474.
Wu, B., Wu, G., Lu, H. and Feng, D. (2017). “Stiffness monitoring and damage assessment of bridges under moving vehicular loads using spatially-distributed optical fiber sensors”, Smart Materials and Structures, 26(3), 35058, https://doi.org/10.1088/1361-665X/aa5c6f.
Wu, B., Wu, G. and Yang, C. (2019). “Parametric study of a rapid bridge assessment method using distributed macro-strain influence envelope line”, Mechanical Systems and Signal Processing, 120, 642-663, https://doi.org/10.1016/j.ymssp.2018.10.039.
Yu, C.P. (2020). “Tension prediction for straight cables based on effective vibration length with a two-frequency approach”, Engineering Structures, 222, 111121, https://doi.org/10.1016/j.engstruct.2020.111121.
Zarbaf, S.E.H.A.M., Norouzi, M., Allemang, R.J., Hunt, V.J., Helmicki, A. and Venkatesh, C. (2018). “Ironton-russell bridge: application of vibration-based cable tension estimation”, Journal of Structural Engineering, 144(6), 04018066, https://doi.org/10.1061/(asce)st.1943-541x.0002054.
Zhang, W., Li, J., Hao, H. and Ma, H. (2017). “Damage detection in bridge structures under moving loads with phase trajectory change of multi-type vibration measurements”, Mechanical Systems and Signal Processing, 87(A), 410-425, https://doi.org/10.1016/j.ymssp.2016.10.035.
Zhang, H., Mao, J., Wang, H., Zhu, X., Zhang, Y., Gao, H. and Ni, Y. and Hai, Z.  (2023). “A novel acceleration-based approach for monitoring the long-term displacement of bridge cables”, International Journal of Structural Stability and Dynamics, 23(05), 2350053, https://doi.org/10.1142/S0219455423500530.
Zhang, L., Wu, G. and Cheng, X. (2020). “A rapid output-only damage detection method for highway bridges under a moving vehicle using long-gauge strain sensing and the fractal dimension”, Measurement: Journal of the International Measurement Confederation, 158, 107711, https://doi.org/10.1016/j.measurement.2020.107711.
Civil Engineering Infrastructures Journal
Volume 58, Issue 2
December 2025
Pages 287-308

Files

History

  • Receive Date: 07 February 2024
  • Revise Date: 06 May 2024
  • Accept Date: 12 June 2024

Share

How to cite

Statistics