Multiscale Modeling and Model Updating of a Cable-Stayed Bridge. II: Model Updating Using Modal Frequencies and Influence Lines
Publication: Journal of Bridge Engineering
Volume 20, Issue 10
Abstract
To facilitate an effective assessment of stress-related bridge performance and safety, a baseline multiscale finite-element (FE) model and a corresponding model-updating technique are required so that the FE model can best represent the prototype and can be used to well predict both global and local responses. The companion paper demonstrates that considering modal frequencies alone as updating objectives cannot ensure the updated multiscale FE model being able to predict local (stress) responses accurately. This paper presents a new updating method that uses both modal frequencies and multiscale (displacement and stress) static influence lines as updating objectives. The paper first explains the relationship between displacement influence lines and mode shapes and the relationship between strain influence lines and strain mode shapes. The formulation of the multiscale objective functions and the selection of updating parameters are then presented. As a case study, the proposed model-updating method is finally applied to the multiscale FE model of the Stonecutters Bridge. In light of the large number of degrees of freedom of the multiscale model, the response surface method is adopted in the optimization process to reduce computation time. The updated results show that the proposed model-updating technique can reduce the differences not only between measured and computed modal frequencies but also between measured and computed influence lines.
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Acknowledgments
The authors acknowledge the financial support from the Research Grants Council of Hong Kong for Y. L. Xu (PloyU5289/12E) and Hong Kong Polytechnic University through a Ph.D. studentship for Q. Zhu. Support from the Highways Department of Hong Kong is particularly appreciated. Any opinions and concluding remarks presented in this paper are entirely those of the authors.
References
ANSYS 11.0 [Computer software]. Canonsburg, PA, ANSYS.
Box, G. E. P., and Draper, N. R. (2002). Empirical model building and response surfaces , Wiley, New York.
Brownjohn, J. M. W., Xia, P.-Q., Hao, H., and Xia, Y. (2001). “Civil structure condition assessment by FE model updating: Methodology and case studies.” Finite Elem. Anal. Des. , 37(10), 761–775.
Bucher, C. G., and Bourgund, U. (1990). “A fast and efficient response surface approach for structural reliability problems.” Struct. Saf. , 7(1), 57–66.
Catbas, F. N., Ciloglu, S. K., Hasancebi, O., Grimmelsman, K., and Aktan, A. E. (2007). “Limitations in structural identification of large constructed structures.” J. Struct. Eng. , 1051–1066.
Chajes, M. J., Mertz, D. R., and Commander, B. (1997). “Experimental load rating of a posted bridge.” J. Bridge Eng. , 1–10.
Chan, T. H. T., Li, Z. X., Yu, Y., and Sun, Z. H. (2009). “Concurrent multi-scale modeling of civil infrastructures for analyses on structural deteriorating—Part II: Model updating and verification.” Finite Elem. Anal. Des. , 45(11), 795–805.
Chen, Z. W., Xu, Y. L., Xia, T., Li, Q., and Wong, K. Y. (2011). “Fatigue analysis of long-span suspension bridges under multiple loading: Case study.” Eng. Struct. , 33(12), 3246–3256.
Enevoldsen, I., Pedersen, C., Axhag, F., Johansson, Ö., and Töyrä, B. (2002). “Assessment and measurement of the Forsmo Bridge, Sweden.” Struct. Eng. Int. , 12(4), 254–257.
Farrar, C. R., et al. (2004). “Damage prognosis: Current status and future needs.” Rep. LA-14051-MS , Los Alamos National Laboratory, Los Alamos, NM.
Friswell, M. I., and Mottershead, J. E. (1995). Finite element model updating in structural dynamics , 1st Ed., Kluwer Academic Publishers, Dorderecht, Netherlands.
Jung, D.-S., and Kim, C.-Y. (2013). “Finite element model updating of a simply supported skewed PSC I-girder bridge using hybrid genetic algorithm.” KSCE J. Civ. Eng. , 17(3), 518–529.
Li, Z. X., Chan, T. H. T., Yu, Y., and Sun, Z. H. (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.
Liu, T. T., Xu, Y. L., Zhang, W. S., Wong, K. Y., Zhou, H. J., and Chan, K. W. Y. (2009). “Buffeting-induced stresses in a long suspension bridge: Structural health monitoring oriented stress analysis.” Wind Struct. , 12(6), 479–504.
MATLAB 2012b [Computer software]. Natick, MA, MathWorks.
Mottershead, J. E., and Friswell, M. I. (1993). “Model updating in structural dynamics: A survey.” J. Sound Vib. , 167(2), 347–375.
Myers, R. H., and Montgomery, D. C. (2002). Response surface methodology: Process and product optimization using designed experiments , 2nd Ed., Wiley, New York.
Panda, S. S., and Manohar, C. S. (2009). “Applications of meta-models in finite element based reliability analysis of engineering structures.” Comput. Model. Eng. Sci. , 814(1), 1–24.
Pandey, A. K., and Biswas, M. (1994). “Damage detection in structures using changes in flexibility.” J. Sound Vib. , 169(1), 3–17.
Perera, R., Marin, R., and Ruiz, A. (2013). “Static–dynamic multi-scale structural damage identification in a multi-objective framework.” J. Sound Vib. , 332(6), 1484–1500.
Perotti, F., Domaneschi, M., and De Grandis, S. (2013). “The numerical computation of seismic fragility of base-isolated nuclear power plants buildings.” Nucl. Eng. Des. , 262(Sep), 189–200.
Ren, W.-X., and Chen, H.-B. (2010). “Finite element model updating in structural dynamics by using the response surface method.” Eng. Struct. , 32(8), 2455–2465.
Ren, W.-X., Fang, S.-E., and Deng, M.-Y. (2011). “Response surface–based finite-element-model updating using structural static responses.” J. Eng. Mech. , 248–257.
Ren, W.-X., Peng, X.-L., and Lin, Y.-Q. (2005). “Experimental and analytical studies on dynamic characteristics of a large span cable-stayed bridge.” Eng. Struct. , 27(4), 535–548.
Reynders, E., Teughels, A., and De Roeck, G. (2010). “Finite element model updating and structural damage identification using OMAX data.” Mech. Syst. Sig. Process. , 24(5), 1306–1323.
Schlune, H., Plos, M., and Gylltoft, K. (2009). “Improved bridge evaluation through finite element model updating using static and dynamic measurements.” Eng. Struct. , 31(7), 1477–1485.
Wang, Y., Li, Z., Wang, C., and Wang, H. (2013). “Concurrent multi-scale modelling and updating of long-span bridges using a multi-objective optimisation technique.” Struct. Infrastruct. Eng. , 9(12), 1251–1266.
Xu, Y. L., Liu, T. T., and Zhang, W. S. (2009). “Buffeting-induced fatigue damage assessment of a long suspension bridge.” Int. J. Fatigue , 31(3), 575–586.
Xu, Y. L., and Xia, Y. (2012). Structural health monitoring of long-span suspension bridges , 1st Ed., Spon Press, London.
Zaurin, R., and Catbas, F. N. (2010). “Integration of computer imaging and sensor data for structural health monitoring of bridges.” Smart Mater. Struct. , 19(1), 015019.
Zhao, J., and DeWolf, J. T. (1999). “Sensitivity study for vibrational parameters used in damage detection.” J. Struct. Eng. , 410–416.
Zhu, Q., Xu, Y. L., and Xiao, X. (2014). “Multiscale modeling and model updating of a cable-stayed bridge. I: Modeling and influence line analysis.” J. Bridge Eng. , 04014112.
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Published In
Journal of Bridge Engineering
Volume 20 • Issue 10 • October 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Mar 27, 2014
Accepted: Oct 3, 2014
Published online: Nov 4, 2014
Published in print: Oct 1, 2015
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