Structural Damage Detection of Cable-Stayed Bridges Using Changes in Cable Forces and Model Updating
Publication: Journal of Structural Engineering
Volume 135, Issue 9
Abstract
A new static-based method for damage detection of cable-stayed bridges using the changes in cable forces is presented in this paper. In recognizing the fact that damage incurring in bridge girders will cause a redistribution of forces in stay cables, the proposed method uses the measured changes in cable forces to detect the damage in bridge girders. In this method, the damage identification is formulated as an optimization problem in which the cable force error between measurement results and analytical model predictions is minimized. The sensitivities of cable forces with respect to the structural parameters of bridge girders for the linear and geometrically nonlinear bridge structures are obtained by using the direct differentiation method and the finite difference method, respectively, and are used to solve the optimization problem. Regularization technique is used to alleviate ill-conditioning in the solution course of the optimization problem. The validity of the method is illustrated by numerical studies of damage detection of the cable-stayed Sutong Bridge with a main span of 1,088 m. The effect of measurement noises and the number of measured cable forces on the accuracy of damage quantification is investigated. The proposed method correctly identifies the damage locations and damage magnitudes in bridge girders when using noise-free cable forces. It is also shown that structural damage can be quantified with acceptable accuracy in the case of low-level measurement noises and the damaged members being well spaced, and the identification accuracy is greatly improved when the forces in the cables connected to the damaged members are available for damage quantification.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The work described in this paper was supported in part by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. UNSPECIFIEDPolyU 5253/06E) and partially by a grant from The Hong Kong Polytechnic University through the Development of Niche Areas Program (Project No. UNSPECIFIED1-BB68). The first writer also thanks the support from theDoctoral Program Foundation of the Ministry of Education, China (Project No. UNSPECIFIED200805321045).
References
Aktan, A. E., Farhey, D. N., Helmicki, A. J., Brown, D. L., Hunt, V. J., Lee, K. L., and Levi, A. (1997). “Structural identification for condition assessment: Experimental arts.” J. Struct. Eng., 123(12), 1674–1684.
Bakhtiari-Nejad, F., Rahai, A., and Esfandiari, A. (2005). “A structural damage detection method using static noisy data.” Eng. Struct., 27(12), 1784–1793.
Banan, M. R., Banan, M. R., and Hjelmstad, K. D. (1994a). “Parameter estimation of structures from static response. I: Computational aspects.” J. Struct. Eng., 120(11), 3243–3258.
Banan, M. R., Banan, M. R., and Hjelmstad, K. D. (1994b). “Parameter estimation of structures from static response. II: Numerical simulation studies.” J. Struct. Eng., 120(11), 3259–3283.
Doebling, S. W., Farrar, C. R., Prime, M. B., and Shevitz, D. W. (1996). “Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review.” Rep. No. LA-13070-MS, Los Alamos National Laboratories, Los Alamos, N.M.
Friswell, M. I., and Mottershead, J. E. (1995). Finite element model updating in structural dynamics, Kluwer Academic, Boston.
Hajela, P., and Soeiro, F. J. (1990). “Structural damage assessment based on static and modal analysis.” AIAA J., 28(6), 1110–1115.
Hjelmstad, K. D., and Shin, S. (1997). “Damage detection and assessment of structures from static response.” J. Eng. Mech., 123(6), 568–576.
Hu, X., and Shenton, H. W., III. (2003). “Damage identification in a two span continuous beam.” Structural health monitoring and intelligent infrastructure, Z. S. Wu and M. Abe, eds., Balkema, Rotterdam, The Netherlands, 431–436.
Hua, X. G., Ni, Y. Q., and Ko, J. M. (2009). “Adaptive regularization parameter optimization in output-error-based finite element model updating.” Mech. Syst. Signal Process., 23(3), 563–579.
Hua, X. G., Ni, Y. Q., Ko, J. M., and Wong, K. Y. (2007). “Modeling of temperature-frequency correlation using combined principal component analysis and support vector regression.” J. Comput. Civ. Eng., 21(2), 122–135.
Imai, K., and Frangopol, D. M. (2000). “Geometrically nonlinear finite element reliability analysis of structure systems. I: Theory.” Comput. Struct., 77(6), 677–691.
Ko, J. M., and Ni, Y. Q. (2005). “Technology developments in structural health monitoring of large-scale bridges.” Eng. Struct., 27(12), 1715–1725.
Liu, P. L., and Chan, C. C. (1997). “Parameter identification of truss structures using static strains.” J. Struct. Eng., 123(7), 927–933.
Liu, P. L., and Der Kiureghian, A. (1991). “Finite element reliability of geometrically nonlinear uncertain structures.” J. Eng. Mech., 117(8), 1806–1825.
Liu, S. C., and Yao, J. T. P. (1978). “Structural identification concept.” J. Struct. Div., 104(6), 1845–1858.
Mehrabi, A. B., Tabatabai, H., and Lotfi, H. R. (1998). “Damage detection in structures using precursor transformation method.” J. Intell. Mater. Syst. Struct., 9(10), 808–817.
Natke, H. G., and Cempel, C. (1997). Modal-aided diagnosis of mechanical systems: Fundamentals, detection, localization and assessment, Springer, Berlin.
Oh, B. H., and Jung, B. S. (1998). “Structural damage assessment with combined data of static and modal tests.” J. Struct. Eng., 124(8), 956–965.
Reginska, T. (1996). “A regularization parameter in discrete ill-posed problems.” SIAM J. Sci. Comput. (USA), 17(3), 740–749.
Sanayei, M., and Onipede, O. (1991). “Damage assessment of structures using static test data.” AIAA J., 29(7), 1174–1179.
Sanayei, M., Onipede, O., and Babu, S. R. (1992). “Selection of noisy measurement locations for error reduction in static parameter identification.” AIAA J., 30(9), 2299–2309.
Sanayei, M., and Saletnik, M. J. (1996a). “Parameter estimation of structures from static strain measurements. I: Formulation.” J. Struct. Eng., 122(5), 555–562.
Sanayei, M., and Saletnik, M. J. (1996b). “Parameter estimation of structures from static strain measurements. II: Error sensitivity analysis.” J. Struct. Eng., 122(5), 563–572.
Sheena, Z., Unger, A., and Zalmanovich, A. (1982). “Theoretical stiffness matrix correction by static test results.” Isr. J. Technol., 20(4), 245–253.
Shenton, H. W., III, and Hu, X. (2006). “Damage identification based on dead load distribution: Methodology.” J. Struct. Eng., 132(8), 1254–1263.
Sohn, H., Farrar, C. R., Hemez, F. M., Shunk, D. D., Stinemates, D. W., and Nadler, B. R. (2004). “A review of structural health monitoring literature: 1996–2001.” Rep. No. LA-13976-MS, Los Alamos National Laboratory, Los Alamos, N.M.
Tikhonov, A. N., and Arsenin, V. Y. (1977). Solutions of ill-posed problems, Wiley, New York (translated by John F., in English).
Wang, X., Hu, N., Fukunaka, H., and Yao, Z. H. (2001). “Structural damage identification using static test data and changes in frequencies.” Eng. Struct., 23(6), 610–621.
Wong, K. Y. (2004). “Instrumentation and health monitoring of cable-supported bridges.” Struct. Control Health Monit., 11(2), 91–124.
Yeo, I., Shin, S., Lee, H. S., and Chang, S. P. (2000). “Statistical damage assessment of framed structures from static response.” J. Eng. Mech., 126(4), 414–421.
Zhao, L., and Shenton, H. W., III. (2005). “Structural damage detection using best approximated dead load approximation.” Struct. Health Monit., 4(4), 319–339.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 135 • Issue 9 • September 2009
Pages: 1093 - 1106
Copyright
© 2009 ASCE.
History
Received: Aug 16, 2007
Accepted: May 11, 2009
Published online: Aug 14, 2009
Published in print: Sep 2009
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.