Case Studies
Mar 25, 2021

Deep Learning-Based Minute-Scale Digital Prediction Model of Temperature-Induced Deflection of a Cable-Stayed Bridge: Case Study

Publication: Journal of Bridge Engineering
Volume 26, Issue 6

Abstract

The evolution rule of temperature-induced deflection in main girders is an important index to evaluate the service performance of long-span cable-stayed bridges, which directly reflects the coupling effect between the vertical stiffness of the main girder and the tension of multiple cables. However, temperature-induced deflection is caused by the complex temperature field of the main girder, cable tower and cable, while monitoring data have documented a time-lag effect between the temperature and temperature-induced deflection. Hence, it is difficult to accurately describe and model the behavior of the temperature-induced deflection in a long-span cable-stayed bridge in service. To this end, by utilizing the advantage of long short-term memory (LSTM) network for time series prediction, a digital model in minute scale based on monitoring data and deep learning can be developed to predict temperature-induced deflection, and resolve the low precision caused by the single-point input and time-lag effect. Compared with traditional machine learning algorithm and linear regression, a deep learning LSTM network has the best performance. For the cable-stayed bridge in this paper, the mean absolute error of the LSTM model was even less than 0.5 mm, and with the combined hypothesis test, the early warning accuracy for the abnormal change of temperature-induced deflection could achieve a minimum of 0.3%.

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Acknowledgments

This research was supported by the Fund for Distinguished Young Scientists of Jiangsu Province (Grant BK20190013) and the National Natural Science Foundation of China (Grants 51978154, 52008099, and 51608258), and Natural Science Foundation of Jiangsu Province (Grant BK20200369).

References

Cao, Y., and M. L. Wang. 2010. “Cable stress monitoring for a cable stayed bridge.” In Proc., 5th European Workshop on Structural Health Monitoring, 1196–1201. Naples, Italy: Alenia Aeronautica, CIRA, DAppolonia S p A, US AF Off Sci Res, Univ Pavia, Natl Res Council, Inst Composite & Biomed Mat.
Chaudhuri, T., D. Zhai, Y. C. Soh, H. Li, and L. Xie. 2018. “Thermal comfort prediction using normalized skin temperature in a uniform built environment.” Energy Build. 159: 426–440. https://doi.org/10.1016/j.enbuild.2017.10.098.
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.
Chen, Z., T. J. Feng, and Q. C. Meng. 1999. “The application of wavelet neural network in time series prediction and system modeling based on multiresolution learning.” In Vol. 1 of IEEE Int. Conf. on Systems, Man, and Cybernetics, 425–430. Piscataway, NJ: IEEE.
Ding, Y. L., Y. Deng, and A. Q. Li. 2010. “Study on correlations of modal frequencies and environmental factors for a suspension bridge based on improved neural networks.” Sci. China 9: 195–203.
Ding, Y. L., and A. Q. Li. 2011. “Temperature-induced variations of measured modal frequencies of steel box girder for a long-span suspension bridge.” Int. J. Steel Struct. 11 (2): 145–155. https://doi.org/10.1007/s13296-011-2004-4.
Ge, J. Y., and M. B. Su. 2016. “Simulation method for cable damage of cable-stayed bridge and its effect on cable tension and deflection distribution.” [In Chinese.] China Railway Sci 37 (3): 30–37.
Gers, F. A., and J. Schmidhuber. 2000. “Recurrent nets that time and count.” In Vol. 3 of IEEE-INNS-ENNS Int. Joint Conf. on Neural Networks, 189–194. Piscataway, NJ: IEEE.
Graves, A., M. Liwicki, F. Santiago, R. Bertolami, H. Bunke, and J. Schmidhuber. 2009. “A novel connectionist system for unconstrained handwriting recognition.” IEEE Trans. Pattern Anal. Mach. Intell. 31 (5): 855–868. https://doi.org/10.1109/TPAMI.2008.137.
Jiao, Y., H. Liu, Y. Cheng, X. Wang, Y. Gong, and G. Song. 2014. “Fuzzy neural network-based damage assessment of bridge under temperature effect.” Math. Probl. Eng. 2014: 418040. https://doi.org/10.1155/2014/418040.
Kaloop, M. R., and H. Li. 2014. “Multi input–single output models identification of tower bridge movements using GPS monitoring system.” Measurement 47: 531–539. https://doi.org/10.1016/j.measurement.2013.09.046.
Kim, S., D. M. Frangopol, and M. Soliman. 2013. “Generalized probabilistic framework for optimum inspection and maintenance planning.” J. Struct. Eng. 139 (3): 435–447. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000676.
Kurkova, V. 1992. “Kolmogorov’s theorem and multilayer neural networks.” Neural Networks 5 (3): 501–506. https://doi.org/10.1016/0893-6080(92)90012-8.
Li, H., and J. P. Ou. 2015. “The state of the art in structural health monitoring of cable-stayed bridges.” J. Civ. Struct. Health Monit. 6 (1): 43–67. https://doi.org/10.1007/s13349-015-0115-x.
Li, T., T. Wu, and Z. Liu. 2020. “Nonlinear unsteady bridge aerodynamics: Reduced-order modeling based on deep LSTM networks.” J. Wind Eng. Ind. Aerodyn. 198: 104116. https://doi.org/10.1016/j.jweia.2020.104116.
Li, X., and X. Chen. 2019. “Influence of cable tension on the mechanical properties of cable-stayed bridge.” Jordan J. Civ. Eng. 13 (1): 158–169.
Liu, G., Y. M. Shao, Z. M. Huang, and X. J. Zhou. 2010. “A new method to separate temperature effect from long-term structural health monitoring data.” Eng. Mech. 27 (3): 55–61.
Malomo, D., N. Scattarreggia, A. Orgnoni, R. Pinho, M. Moratti, and G. M. Calvi. 2020. “Numerical study on the collapse of the Morandi bridge.” J. Perform. Constr. Facil. 34 (4): 04020044. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001428.
Seep, H., and S. Jurgen. 1997. “Long short-term memory.” Neural Comput. 9 (8): 1735–1780. https://doi.org/10.1162/neco.1997.9.8.1735.
Sun, L. M., Z. Q. Shang, and Y. Xia. 2019. “Development and prospect of bridge structural health monitoring in the context of big data.” [In Chinese.] China J. Highway Transp. 32 (11): 1–20.
Sun, L., Z. Shang, Y. Xia, S. Bhowmick, and S. Nagarajaiah. 2020. “Review of bridge structural health monitoring aided by big data and artificial intelligence: From condition assessment to damage detection.” J. Struct. Eng. 146 (5): 04020073. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002535.
Sun, Y. Q., and Z. Z. Zhao. 2019. “Real-time seperation of temperature effect on dynamic strain monitoring and moving load identification of bridge structure.” Eng. Mech. 36 (2): 186–194.
Wang, G. X., and Y. L. Ding. 2019. “Reliability estimation of horizontal rotation at beam end of long-span continuous truss bridge affected by temperature gradients.” J. Perform. Constr. Facil. 33 (6): 04019061. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001336.
Wang, G. X., and J. H. Ye. 2019. “Localization and quantification of partial cable damage in the long-span cable-stayed bridge using the abnormal variation of temperature-induced girder deflection.” Struct. Control Health Monit. 26 (1): e2281. https://doi.org/10.1002/stc.2281.
Williams, R. J., and J. Peng. 1990. “An efficient gradient-based algorithm for on-line training of recurrent network trajectories.” Neural Comput. 2 (4): 490–501. https://doi.org/10.1162/neco.1990.2.4.490.
Xu, X., Q. Huang, Y. Ren, D. Y. Zhao, J. Yang, and D. Y. Zhang. 2019. “Modeling and separation of thermal effects from cable-stayed bridge response.” J. Bridge Eng. 24 (5): 04019028. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001387.
Xu, Y. L., B. Chen, C. L. Ng, K. Y. Wong, and W. Y. Chan. 2010. “Monitoring temperature effect on a long suspension bridge.” Struct. Control Health Monit. 17 (6): 632–653. https://doi.org/10.1002/stc.340.
Yang, D. H., T. H. Yi, H. N. Li, and Y. F. Zhang. 2018a. “Correlation-based estimation method for cable-stayed bridge girder deflection variability under thermal action.” J. Perform. Constr. Facil. 32 (5): 04018070. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001212.
Yang, D. H., T. H. Yi, H. N. Li, and Y. F. Zhang. 2018b. “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, H., Z. Sun, X. P. Liu, W. Zhu, and Y. Wang. 2014. “Separation of bridge temperature deflection effect based on M-LS-SVM.” J. Vib. Shock 33 (1): 71–76+88.
Ye, X. W., T. Jin, and C. B. Yun. 2019. “A review on deep learning-based structural health monitoring of civil infrastructures.” Smart Struct. Syst. 24 (5): 567–585. https://doi.org/10.12989/sss.2019.24.5.567.
Yoshua, B., S. Patrice, and F. Paolo. 1994. “Learning long-term dependencies with gradient descent is difficult.” Neural Networks 5 (2): 157–166.
Zhang, Q. 1992. “Wavelet networks.” IEEE Trans. Neural Networks 3 (6): 889–898. https://doi.org/10.1109/72.165591.
Zhao, H. W., Y. L. Ding, A. Q. Li, Z. Z. Ren, and K. Yang. 2020a. “Live-load strain evaluation of the prestressed concrete box-girder bridge using deep learning and clustering.” Struct. Health Monit. 19 (4): 1051–1063. https://doi.org/10.1177/1475921719875630.
Zhao, H. W., Y. L. Ding, A. Q. Li, W. Sheng, and F. Geng. 2020b. “Digital modeling on the nonlinear mapping between multi-source monitoring data of in-service bridges.” Struct. Control Health Monit. 27 (11): e2618. https://doi.org/10.1002/stc.2618.
Zhou, X. G., and X. H. Zhang. 2019. “Thoughts on the development of bridge technology in China.” Engineering 5 (6): 1120–1130. https://doi.org/10.1016/j.eng.2019.10.001.
Zhou, Y., and L. Sun. 2019a. “A comprehensive study of the thermal response of a long-span cable-stayed bridge: From monitoring phenomena to underlying mechanisms.” Mech. Syst. Sig. Process. 124: 330–348. https://doi.org/10.1016/j.ymssp.2019.01.026.
Zhou, Y., and L. Sun. 2019b. “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.
Zhu, J. S., and Q. L. Meng. 2017. “Effective and fine analysis for temperature effect of bridges in natural environments.” J. Bridge Eng. 22 (6): 04017017. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001039.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 26Issue 6June 2021

History

Received: Sep 14, 2020
Accepted: Jan 8, 2021
Published online: Mar 25, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 25, 2021

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Zi-xiang Yue [email protected]
Ph.D. Student, School of Civil Engineering, Key Laboratory of C&PC Structures of the Ministry of Education, Southeast Univ., Nanjing 210096, China. Email: [email protected]
Professor, Key Laboratory of C&PC Structures of the Ministry of Education, Southeast Univ., Nanjing 210096, China (corresponding author). ORCID: https://orcid.org/0000-0002-0774-426X. Email: [email protected]
Assistant Professor, Key Laboratory of C&PC Structures of the Ministry of Education, Southeast Univ., Nanjing 210096, China. ORCID: https://orcid.org/0000-0002-7622-7784. Email: [email protected]

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