Modeling Deformation Induced by Thermal Loading Using Long-Term Bridge Monitoring Data
Publication: Journal of Performance of Constructed Facilities
Volume 32, Issue 3
Abstract
An accurate correlation model between thermal loading and deformation is required for facilitating a reliable deformation-based condition evaluation in bridge service periods. In this paper, a general approach for modeling closed-form thermal correlation of deformation based on monitoring data is proposed and applied in a long-span arch bridge. First, samples of all available thermal variables and deformation induced by thermal loading are prepared by averaging preprocessed monitoring records at a 10-min interval. Then these available thermal variables are reduced to several predominant thermal variables, each of which represents a cluster of thermal variables with statistical similarity and has the strongest relationship with the thermal deformation in concern. Finally, the model of thermal deformation is formulated as a weighted sum of fitted functions of predominant thermal variables. The weighted coefficients are calculated by the back-propagation neural network technique combined with the mean impact value method and the fitted functions are estimated by the nonlinear least-squares method. The proposed approach is applied to 1 year of monitoring data obtained from a sophisticated structural health monitoring system deployed on the Jiubao Bridge. The proposed method is validated and a closed-form thermal correlation model of vertical deformation in the Jiubao Bridge is established.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research work was jointly supported by the National Natural Science Foundation of China (Grant Nos. 51625802 and 51678218), the 973 Program (Grant No. 2015CB060000), and the Fundamental Research Fund for the Central Universities (Grant No. 2015B17914).
References
Campello, R. J., and Hruschka, E. R. (2006). “A fuzzy extension of the silhouette width criterion for cluster analysis.” Fuzzy Sets Syst., 157(21), 2858–2875.
Cao, Y., Yim, J., Zhao, Y., and Wang, M. L. (2011). “Temperature effects on cable stayed bridge using health monitoring system: A case study.” Struct. Health Monit., 10(5), 523–537.
Cybenko, G. (1989). “Approximation by superpositions of a sigmoidal function.” Math. Control Signals Syst., 2(4), 303–314.
Dombi, G. W., Nandi, P., Saxe, J. M., Ledgerwood, A. M., and Lucas, C. E. (1995). “Prediction of rib fracture injury outcome by an artificial neural network.” J. Trauma Acute Care Surg., 39(5), 915–921.
Faravelli, L., Bortoluzzi, D., Messervey, T. B., and Sasek, L. (2014). “Temperature effects on the response of the bridge ‘ÖBB Brücke Großhaslau.’” Mechanics and Model-Based Control of Advanced Engineering Systems, Springer, Vienna, Austria, 85–94.
Geman, S., Bienenstock, E., and Doursat, R. (1992). “Neural networks and the bias/variance dilemma.” Neural Comput., 4(1), 1–58.
Guo, T., Liu, J., Zhang, Y., and Pan, S. (2014). “Displacement monitoring and analysis of expansion joints of long-span steel bridges with viscous dampers.” J. Bridge Eng., 04014099.
Guo, T., Sause, R., Frangopol, D. M., and Li, A. (2010). “Time-dependent reliability of PSC box-girder bridge considering creep, shrinkage, and corrosion.” J. Bridge Eng., 29–43.
Kashima, S., Yanaka, Y., Suzuki, S., and Mori, K. (2001). “Monitoring the Akashi Kaikyo bridge: First experiences.” Struct. Eng. Int., 11(2), 120–123.
Liu, Y., Deng, Y., and Cai, C. S. (2015). “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.
MacKay, D. J. (1992). “Bayesian interpolation.” Neural Comput., 4(3), 415–447.
Ribeiro, D., Calçada, R., Ferreira, J., and Martins, T. (2014). “Non-contact measurement of the dynamic displacement of railway bridges using an advanced video-based system.” Eng. Struct., 75, 164–180.
Székely, G. J., and Rizzo, M. L. (2009). “Brownian distance covariance.” Ann. Appl. Stat., 3(4), 1233–1235.
Székely, G. J., Rizzo, M. L., and Bakirov, N. K. (2007). “Measuring and testing dependence by correlation of distances.” Ann. Stat., 35(6), 2769–2794.
Watson, C., Watson, T., and Coleman, R. (2007). “Structural monitoring of cable-stayed bridge: Analysis of GPS versus modeled deflections.” J. Surv. Eng, 23–28.
Williams, D. R. G. H. R., and Hinton, G. E. (1986). “Learning representations by back-propagating errors.” Nature, 323(6088), 533–536.
Xu, Y. L., Chen, B., Ng, C. L., Wong, K. Y., and Chan, W. Y. (2010). “Monitoring temperature effect on a long suspension bridge.” Struct. Control Health Monit., 17(6), 632–653.
Yarnold, M. T., Moon, F. L., and Emin Aktan, A. (2015). “Temperature-based structural identification of long-span bridges.” J. Struct. Eng., 04015027.
Yi, T., Li, H., and Gu, M. (2010). “Recent research and applications of GPS based technology for bridge health monitoring.” Sci. China Technol. Sci., 53(10), 2597–2610.
Zhou, G. D., and Yi, T. H. (2013). “Thermal load in large-scale bridges: A state-of-the-art review.” Int. J. Distrib. Sens. Netw., 9(12), 217983.
Zhou, G. D., Yi, T. H., and Chen, B. (2016). “Innovative design of a health monitoring system and its implementation in a complicated long-span arch bridge.” J. Aerosp. Eng., B4016006.
Zhou, G. D., Yi, T. H., Chen, B., and Zhang, H. (2015a). “Analysis of three-dimensional thermal gradients for arch bridge girders using long-term monitoring data.” Smart Struct. Syst., 15(2), 469–488.
Zhou, G. D., Yi, T. H., Zhang, H., and Li, H. N. (2015b). “Energy-aware wireless sensor placement in structural health monitoring using hybrid discrete firefly algorithm.” Struct. Control Health Monit., 22(4), 648–666.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Feb 26, 2017
Accepted: Nov 3, 2017
Published online: Feb 16, 2018
Published in print: Jun 1, 2018
Discussion open until: Jul 16, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.