Lifetime Multiobjective Optimization of Cost and Spacing of Corrosion Rate Sensors Embedded in a Deteriorating Reinforced Concrete Bridge Deck
Publication: Journal of Structural Engineering
Volume 133, Issue 6
Abstract
Due to variations in concrete properties, environmental conditions, and other factors, the rate of corrosion of reinforcing steel can be highly variable within a given structural component. By placing multiple corrosion rate sensors throughout a reinforced concrete (RC) bridge deck, this variability can be monitored and corrected for use in a reliability model. There is a limit, however, on the number of sensors that can be feasibly placed in a structure, due to economic and constructability constraints. The constraints on the design variables of a permanent structural health monitoring (SHM) sensor network can be used to formulate a multiobjective optimization problem. This investigation describes the formulation of this problem for a RC bridge deck to be outfitted with corrosion rate sensors. The total cost of sensor system installation and the maximum lifetime dispersion of corrosion current density serve as the two objective functions to be minimized. The design variables are the spacing between adjacent sensors and the unit cost of each sensor. A set of optimal (Pareto) solutions are found for various assumptions using a multiobjective goal seeking algorithm in conjunction with Bayesian updating and interpolation techniques. The set of optimal combinations of sensor spacing and unit cost provide the best tradeoff between total SHM system cost and performance for a given set of constraints.
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Acknowledgments
The writers gratefully acknowledge the partial financial support of the U.S. National Science Foundation through Grant Nos. NSFCMS-0217290, NSFCMS-0509772, NSFCMS-0638728, and NSFCMS-0639428. The opinions and conclusions presented in this paper are those of the writers and do not necessarily reflect the views of the sponsoring organizations.
References
Ahmad, S. (2003). “Reinforcement corrosion in concrete structures, its monitoring and service life prediction—A review.” Cem. Concr. Compos., 25(4–5), 459–471.
Akgül, F. (2002). “Lifetime system reliability prediction for multiple structure types in a bridge network.” Ph.D. thesis, Univ. of Colorado, Boulder, Colo.
Ang, A. H.-S., and Tang, W. H. (1975). Probability concepts in engineering planning and design, Vol. I, Wiley, New York.
Bertolini, L., Elsener, B., Pedeferri, P., and Polder, R. (2004). Corrosion of steel in concrete, Wiley-VCH, Weinheim, Germany.
Brühwiler, E. (2003). “Conceptual design of a monitoring system.” Structural health monitoring and intelligent infrastructure, Z. Wu and M. Abe, eds., Vol. 2, Lisse, The Netherlands, 987–992.
Catbas, N. F., Shah, M., Burkett, J., and Basharat, A. (2004). “Challenges in structural health monitoring.” Proc., 4th Int. Workshop on Structural Control, A. Smyth and R. Betti, eds., Columbia Univ., New York, 195–202.
Hosser, D., Klinzmann, C., and Schnetgöke, R. (2007). “A framework for reliability-based system assessment based on structural health monitoring.” Structure and infrastructure engineering, Taylor & Francis, London, in press.
Marsh, P. S., and Frangopol, D. M. (2007). “Reinforced bridge deck reliability model incorporating temporal and spatial variations of probabilistic corrosion rate sensor data.” Reliability engineering and system safety, Elsevier, Amsterdam, in press.
MathWorks. (2006). Optimization toolbox for use with MATLAB—User’s guide, The MathWorks, Inc., Natick, Mass.
McCarter, W. J., and Vennesland, O. (2004). “Sensor systems for use in reinforced concrete structures.” Constr. Build. Mater., 18(6), 351–358.
Montemor, M. F., Simões, A. M. P., and Ferreira, M. G. S. (2003). “Chloride-induced corrosion on reinforcing steel: From the fundamentals to the monitoring techniques.” Cem. Concr. Compos., 25(4–5), 491–502.
Parker, N. A., and Ansari, F. (2003). “Bridge appurtenances—Part C: Smart bridges.” New Jersey Dept. of Transportation, Division of Research and Technology, Trenton, N.J.
Qian, S., (2005). “Testing steel corrosion in reinforced concrete.” Inspection and monitoring techniques for bridges and civil structures, Woodhead, Cambridge, U.K.
Rafiq, M. I. (2005). “Health monitoring in proactive reliability management of deteriorating concrete bridges.” Ph.D. thesis, Univ. of Surrey, Surrey, U.K.
Rohrback Cosaco Systems, Inc. (2006). “Model 800 LPR corrosion rate monitoring in concrete CORRATOR probe.” ⟨http://www.corrpro.com/products/pdf/800.PDF⟩ (April 27, 2006).
Stewart, M. G. (2004). “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure.” Struct. Safety, 26(4), 453–470.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 6 • June 2007
Pages: 777 - 787
Copyright
© 2007 ASCE.
History
Received: Jul 6, 2006
Accepted: Oct 26, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007
Notes
Note. Associate Editor: Colby C. Swan
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