SHM-Oriented Hybrid Modeling for Stress Analysis of Steel Girder Bridge
Publication: Journal of Bridge Engineering
Volume 26, Issue 6
Abstract
Stress monitoring is always a challenging task in bridge structural health monitoring (SHM) since the measured pointwise stress is not enough for fully reflecting structural conditions. Therefore, a novel hybrid modeling technique was proposed in this paper, which calculates stress distribution with the aid of finite-element (FE) submodels from limited measured data. However, unlike common FE analyses, the requirement of complete input information is avoided by an FE model-based partial least-squares regression (FEM-PLSR) method. First, the regression equations among the FE model, unknown structural input, and output were set up, into which measured displacements, rotations, and strains were fused simultaneously. By solving the regression equations, the boundary conditions of the FE submodel can be precisely estimated. Then, the stress distribution can be calculated through FE analyses under the assumption of known local vehicular loads. Numerical simulations of a continuous steel box girder bridge were carried out for verification. Corresponding results indicated that the accuracy of the calculated stress distributions was competitive to the widely used multiscale FE model, even if the structural input information outside the submodel was not directly measured. Furthermore, the proposed method was also proved insensitive to random measurement errors. Finally, a large-scale experiment was designed to validate the accuracy of the hybrid model under three loading conditions. The strain distribution over both space and time accorded well with the measurement. Thus, the present hybrid modeling offered a novel way to obtain unmeasured structural responses, revealing great potential in the field of bridge SHM.
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Acknowledgments
The authors acknowledge support for the work reported in this paper from the National Natural Science Foundation of China (Grant No. 51878482) and State Key Laboratory of Disaster Reduction in Civil Engineering, Tonging Univ. (Grant No. SLDRCE15-A-02).
References
Cardini, A. J., and J. T. DeWolf. 2009. “Long-term structural health monitoring of a multi-girder steel composite bridge using strain data.” Struct. Health Monit. 8 (1): 47–58. https://doi.org/10.1177/1475921708094789.
Chan, T. H. T., L. Guo, and Z. X. Li. 2003. “Finite element modelling for fatigue stress analysis of large suspension bridges.” J. Sound Vib. 261 (3): 443–464. https://doi.org/10.1016/S0022-460X(02)01086-6.
Chan, T. H. T., T. Q. Zhou, Z. X. Li, and L. Guo. 2005. “Hot spot stress approach for Tsing Ma Bridge fatigue evaluation under traffic using finite element method.” Struct. Eng. Mech. 19 (3): 261–279. https://doi.org/10.12989/sem.2005.19.3.261.
Coifman, B., D. Beymer, P. McLauchlan, and J. Malik. 1998. “A real-time computer vision system for vehicle tracking and traffic surveillance.” Transp. Res. Part C Emerging Technol. 6 (4): 271–288. https://doi.org/10.1016/S0968-090X(98)00019-9.
Dan, D., L. Ge, and X. Yan. 2019. “Identification of moving loads based on the information fusion of weigh-in-motion system and multiple camera machine vision.” Measurement 144: 155–166. https://doi.org/10.1016/j.measurement.2019.05.042.
Deng, Y. H., and B. M. Phares. 2016. “Automated bridge load rating determination utilizing strain response due to ambient traffic trucks.” Eng. Struct. 117: 101–117. https://doi.org/10.1016/j.engstruct.2016.03.004.
Ding, Y. L., A. Q. Li, D. S. Du, and T. Liu. 2010. “Multi-scale damage analysis for a steel box girder of a long-span cable-stayed bridge.” Struct. Infrastruct. Eng. 6 (6): 725–739. https://doi.org/10.1080/15732470802187680.
Duan, Y. F., Y. L. Xu, Q. G. Fei, K. Y. Wong, K. W. Y. Chan, Y. Q. Ni, and C. L. Ng. 2011. “Advanced finite element model of Tsing Ma Bridge for structural health monitoring.” Int. J. Struct. Stab. Dyn. 11 (2): 313–344. https://doi.org/10.1142/S0219455411004117.
Fraser, M. S. 2006. Development and implementation of an integrated framework for structural health monitoring. San Diego: Unive. of California.
Guoping, L. 2007. “Research about low frequency dynamic characteristics of deflection testing system for LianTongGuan type bridge.” Degree of master, Dept. of Civil Engineering, Chongqing Univ.
Hou, X., X. Yang, and Q. Huang. 2005. “Using inclinometers to measure bridge deflection.” J. Bridge Eng. 10 (5): 564–569. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:5(564).
Jian, X., Y. Xia, J. A. Lozano-Galant, and L. Sun. 2019. “Traffic sensing methodology combining influence line theory and computer vision techniques for girder bridges.” J. Sens. 2019: 3409525. https://doi.org/10.1155/2019/3409525.
Li, Y. Y. 2010. “Hypersensitivity of strain-based indicators for structural damage identification: A review.” Mech. Syst. Sig. Process. 24 (3): 653–664. https://doi.org/10.1016/j.ymssp.2009.11.002.
Li, Z. X., T. H. T. Chan, Y. Yu, and Z. H. Sun. 2009. “Concurrent multi-scale modeling of civil infrastructures for analyses on structural deterioration—Part I: Modeling methodology and strategy.” Finite Elem. Anal. Des. 45 (11): 782–794. https://doi.org/10.1016/j.finel.2009.06.013.
Nassif, H. H., M. Gindy, and J. Davis. 2005. “Comparison of laser Doppler vibrometer with contact sensors for monitoring bridge deflection and vibration.” NDT & E Int. 38 (3): 213–218. https://doi.org/10.1016/j.ndteint.2004.06.012.
O’Brien, E., A. Znidaric, and T. Ojio. 2008. “Bridge weigh-in-motion—Latest developments and applications world wide.” In Proc., of the Int. Conf. on Heavy Vehicles, edited by B. Jacob, P. Nordengen, A. O’Connor, and M. Bouteldja, 19–22. Chichester, UK: Wiley.
Pan, B., K. Qian, H. Xie, and A. Asundi. 2009. “Two-dimensional digital image correlation for in-plane displacement and strain measurement: A review.” Meas. Sci. Technol. 20 (6): 062001. https://doi.org/10.1088/0957-0233/20/6/062001.
Ren, W.-X., and X.-L. Peng. 2005. “Baseline finite element modeling of a large span cable-stayed bridge through field ambient vibration tests.” Comput. Struct. 83 (8–9): 536–550. https://doi.org/10.1016/j.compstruc.2004.11.013.
Sanli, A. K., E. A. Uzgider, O. B. Caglayan, K. Ozakgul, and J. Bien. 2000. “Testing bridges by using tiltmeter measurements.” Transp. Res. Rec. 1696: A111–A117. https://doi.org/10.3141/1696-51.
Sousa, H., F. Cavadas, A. Henriques, J. Bento, and J. Figueiras. 2013. “Bridge deflection evaluation using strain and rotation measurements.” Smart Struct. Syst. 11 (4): 365–386. https://doi.org/10.12989/sss.2013.11.4.365.
Sun, L., Y. Li, and W. Zhang. 2020. “Experimental study on continuous bridge-deflection estimation through inclination and strain.” J. Bridge Eng. 25 (5): 04020020. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001543.
Sun, P., S. M. Bachilo, R. B. Weisman, and S. Nagarajaiah. 2015. “Carbon nanotubes as non-contact optical strain sensors in smart skins.” J. Strain Anal. Eng. Des. 50 (7): 505–512. https://doi.org/10.1177/0309324715597414.
Sun, S., L. Sun, and L. Chen. 2016. “Damage detection based on structural responses induced by traffic load: Methodology and application.” Int. J. Struct. Stab. Dyn. 16 (4): 1640026. https://doi.org/10.1142/S0219455416400265.
Tang, Y., and Z. Wu. 2016. “Distributed long-gauge optical fiber sensors based self-sensing FRP bar for concrete structure.” Sensors 16 (3): 286. https://doi.org/10.3390/s16030286.
Tobias, R. D. 1995. “An introduction to partial least squares regression.” In Vol. 20 of Proc., of the 20th Annual SAS Users Group Int. Conf., 1–8. Cary, NC: SAS Institute.
Wang, H., A. Q. Li, R. M. Hu, and J. A. Li. 2010. “Accurate stress analysis on steel Box girder of long span suspension bridges based on multi-scale submodeling method.” Adv. Struct. Eng. 13 (4): 727–740. https://doi.org/10.1260/1369-4332.13.4.727.
Wang, J., and M. Wu. 2004. “An overview of research on weigh-in-motion system.” In Vol. 6 of Proc., 5th World Congress on Intelligent Control and Automation. IEEE Cat. No. 04EX788. 5241–5244, New York: IEEE.
Wold, H. 1975. “Path models with latent variables: The NIPALS approach.” In Quantitative sociology: International Perspectives on Mathematical and Statistical Modeling, edited by H. M. Blalock, 307–357. Cambridge, MA: Academic Press.
Zaurin, R., and F. N. Catbas. 2011. “Structural health monitoring using video stream, influence lines, and statistical analysis.” Struct. Health Monit. 10 (3): 309–332. https://doi.org/10.1177/1475921710373290.
Zhang, W., L. Sun, and S. Sun. 2016. “Bridge-deflection estimation through inclinometer data considering structural damages.” J. Bridge Eng. 22 (2): 04016117. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000979.
Zhou, L. R., G. R. Yan, L. Wang, and J. P. Ou. 2013. “Review of benchmark studies and guidelines for structural health monitoring.” Adv. Struct. Eng. 16 (7): 1187–1206. https://doi.org/10.1260/1369-4332.16.7.1187.
Zhu, Q., Y. L. Xu, and X. Xiao. 2015. “Multiscale modeling and model updating of a cable-stayed bridge. I: Modeling and influence line analysis.” J. Bridge Eng. 20 (10): 04014112. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000722.
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Published In
Journal of Bridge Engineering
Volume 26 • Issue 6 • June 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jul 9, 2020
Accepted: Dec 20, 2020
Published online: Mar 18, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 18, 2021
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