Modeling and Separation of Thermal Effects from Cable-Stayed Bridge Response
Publication: Journal of Bridge Engineering
Volume 24, Issue 5
Abstract
This article presents a practical multivariate linear-based model for modeling and separation of thermal effects from the cable-stayed bridge response. First, the discrete typical thermal loadings, which are the variables in the linear model, are derived from the real-time recorded temperature measurements. Then, weight coefficients (i.e., normalized response corresponding to each type of temperature action) in the model are acquired by considering the simulation results of the numerical models. Finally, the Third Nanjing Yangtze River Bridge is employed as a case study to validate the effectiveness of the proposed methodology. The reliability of the proposed multivariate linear-based model is verified on the measurements of deflection and temperature during the bridge-closure time window. The maximum error between the predicted and measured deflection is 5.6 mm, which accounts for the resolution of the connected pipe system. This study not only helps to understand the thermal field of such large-span cable-stayed bridges but also develops an effective model that separates thermal response and can benefit real-time quasi-static-based anomaly detection for large-scale bridges.
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Acknowledgments
The research reported in this article was supported in part by the National Natural Science Foundation of China under Grant 51208096, the Key Science and Technology Project of the Jiangsu Transport Department of China under Grant 2014Y02, the Scientific Research Foundation of the Graduate School of Southeast University under Grant YBJJ1845, and the China Scholarship Council.
References
BSI (British Standards Institute). 1978. Steel, concrete and composite bridges. BS 5400. London: BSI.
Catbas, F. N., M. Susoy, and D. M. Frangopol. 2008. “Structural health monitoring and reliability estimation: Long span truss bridge application with environmental monitoring data.” Eng. Struct. 30 (9): 2347–2359. https://doi.org/10.1016/j.engstruct.2008.01.013.
CEN (European Committee for Standardization). 2004. Eurocode 1. Actions on structures, part 1–5. BS EN 1991-1-5:2003. Brussels, Belgium: CEN.
Deng, L., and C. S. Cai. 2010. “Bridge model updating using response surface method and genetic algorithm.” J. Bridge Eng. 15 (5): 553–564. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000092.
Deng, Y., A. Li, Y. Liu, and S. Chen. 2018. “Investigation of temperature actions on flat steel box girders of long-span bridges with temperature monitoring data.” Adv. Struct. Eng. 21 (14): 2099–2113. https://doi.org/10.1177/1369433218766946.
Ding, Y., G. Zhou, A. Li, and G. Wang. 2012. “Thermal field characteristic analysis of steel box girder based on long-term measurement data.” Int. J. Steel Struct. 12 (2): 219–232. https://doi.org/10.1007/s13296-012-2006-x.
Elbadry, M. M., and A. Ghali. 1983. “Temperature variations in concrete bridges.” J. Struct. Eng. 109 (10): 2355–2374. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:10(2355).
Feng, D., and M. Q. Feng. 2015. “Model updating of railway bridge using in situ dynamic displacement measurement under trainloads.” J. Bridge Eng. 20 (12): 04015019. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000765.
Kromanis, R., and P. Kripakaran. 2014. “Predicting thermal response of bridges using regression models derived from measurement histories.” Comput. Struct. 136: 64–77. https://doi.org/10.1016/j.compstruc.2014.01.026.
Kromanis, R., and P. Kripakaran. 2017. “Data-driven approaches for measurement interpretation: analysing integrated thermal and vehicular response in bridge structural health monitoring.” Adv. Eng. Inf. 34: 46–59. https://doi.org/10.1016/j.aei.2017.09.002.
Kromanis, R., P. Kripakaran, and B. Harvey. 2016. “Long-term structural health monitoring of the Cleddau bridge: Evaluation of quasi-static temperature effects on bearing movements.” Struct. Infrastruct. Eng. 12 (10): 1342–1355. https://doi.org/10.1080/15732479.2015.1117113.
Laory, I., T. N. Trinh, D. Posenato, and I. F. C. Smith. 2013. “Combined mode-free data-interpretation methodologies for damage detection during continuous monitoring of structures.” J. Comput. Civ. Eng. 27 (6): 657–666. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000289.
Laory, I., T. N. Trinh, and I. F. C. Smith. 2011. “Evaluation two model-free data interpretation methods for measurements that are influenced by temperature.” Adv. Eng. Inf. 25 (3): 495–506. https://doi.org/10.1016/j.aei.2011.01.001.
Liu, X., Q. Huang, Y. Ren, and Y. Fan. 2016a. “Assessment and early warning on the monitoring girder deflection of the long-span steel cable-stayed bridge.” [In Chinese.] J. Hunan Univ. Nat. Sci. 43 (9): 98–104.
Liu, X., Q. Huang, Y. Ren, Y. Fan, and C. Ping. 2015a. “Extraction of cable forces due to dead load in cable-stayed bridges under random vehicle loads.” J. Southeast Univ. 31 (3): 407–411.
Liu, Y., Y. Deng, and C. S. Cai. 2015b. “Deflection monitoring and assessment for a suspension bridge using a connected pipe system: A case study in China.” Struct. Control Health Monit. 22 (12): 1408–1425. https://doi.org/10.1002/stc.1751.
Liu, Y., Z. Qian, and H. Hu. 2016b. “Thermal field characteristic analysis of steel bridge deck during high-temperature asphalt pavement paving.” KSCE J. Civil Eng. 20 (7): 2811–2821. https://doi.org/10.1007/s12205-016-0027-2.
MOT (Ministry of Transport of the People’s Republic of China). 2015. General specifications for design of highway bridges and culverts. JTG D60-2015. Beijing: MOT.
Potgieter, I. C., and W. L. Gamble. 1983. Response of highway bridges to nonlinear temperature distributions. Rep. No. SRS-505. Champaign, IL: Univ. of Illinois Engineering Experiment Station. College of Engineering, Univ. of Illinois at Urbana–Champaign.
Ren, Y., X. Liu, and Q. Huang. 2015. “The long-term trend analysis and assessment of the cable forces due to dead load in cable-stayed bridges.” [In Chinese.] J. Harbin Inst. Technol. 47 (6): 103–108.
Rodrigues, C., C. Félix, and J. Figueiras. 2011. “Fiber-optic-based displacement transducer to measure bridge deflections.” Struct. Health Monit. 10 (2): 147–156. https://doi.org/10.1177/1475921710373289.
Sanayei, M., A. Khaloo, M. Gul, and F. N. Catbas. 2015. “Automated finite element model updating of a scale bridge model using measured static and modal test data.” Eng. Struct. 102: 66–79. https://doi.org/10.1016/j.engstruct.2015.07.029.
Thurston, S. J., M. J. Priestley, and N. Cooke. 1980. “Thermal stress analysis of concrete structures subjected to insolation, hydration, creep and shrinkage.” In Proc., 7th Australasian Conf. on the Mechanics of Structures and Materials, 63–72. Sydney, Australia: Australasian Conf. on the Mechanics of Structures and Materials.
Wang, H., A. Q. Li, and J. Li. 2010. “Progressive finite element model calibration of a long-span suspension bridge based on ambient vibration and static measurements.” Eng. Struct. 32 (9): 2546–2556. https://doi.org/10.1016/j.engstruct.2010.04.028.
Xia, Y., B. Chen, X. Q. Zhou, and Y. L. Xu. 2013. “Field monitoring and numerical analysis of Tsing Ma Suspension Bridge temperature behavior.” Struct. Control Health Monit. 20 (4): 560–575. https://doi.org/10.1002/stc.515.
Xia, Y., H. Hao, G. Zanardo, and A. Deeks. 2006. “Long term vibration monitoring of an RC slab: Temperature and humidity effect.” Eng. Struct. 28 (3): 441–452. https://doi.org/10.1016/j.engstruct.2005.09.001.
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.
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.
Zhou, L., Y. Xia, J. M. Brownjohn, and K. Y. Koo. 2016. “Temperature analysis of a long-span suspension bridge based on field monitoring and numerical simulation.” J. Bridge Eng. 21 (1): 04015027. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000786.
Zhou, Y., and L. Sun. 2018. “Insights into temperature effects on structural deformation of a cable-stayed bridge based on structural health monitoring.” Struct. Health Monit. https://doi.org/10.1177/1475921718773954.
Zuk, W. 1965. “Thermal behavior of composite bridges-insulated and uninsulated.” Highway Res. Rec. 76: 231–253.
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Published In
Journal of Bridge Engineering
Volume 24 • Issue 5 • May 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Mar 22, 2018
Accepted: Nov 1, 2018
Published online: Feb 25, 2019
Published in print: May 1, 2019
Discussion open until: Jul 25, 2019
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