Generalized Probabilistic Framework for Optimum Inspection and Maintenance Planning
Publication: Journal of Structural Engineering
Volume 139, Issue 3
Abstract
This paper proposes a generalized probabilistic framework for optimum inspection and maintenance planning of deteriorating structures. The proposed framework covers (1) the damage occurrence and propagation and service life prediction under uncertainty, (2) the relation between degree of damage and probability of damage detection of an inspection method, and (3) the effects of inspection and maintenance on service life and life-cycle cost. Optimum inspection and maintenance types and times are obtained through an optimization formulation by maximizing the expected service life and minimizing the expected total life-cycle cost consisting of inspection and maintenance costs. The service life, life-cycle cost, and maintenance delay, along with inspection and maintenance actions, are formulated using a decision tree model. The selection of the appropriate maintenance type depends on the degree of damage. The proposed framework is general and can be applied to any types of deteriorating structures or materials. Applications of the proposed framework may include, but are not limited to, bridges, buildings, aircrafts, and naval ships.
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Acknowledgments
The authors gratefully acknowledge financial support from National Science Foundation Award No. CMS-0639428, the Commonwealth of Pennsylvania, Department of Community and Economic Development, through the Pennsylvania Infrastructure Technology Alliance, U.S. Federal Highway Administration Cooperative Agreement Award No. DTFH61-07-H-00040, U.S. Office of Naval Research Award No. N00014-08-1-0188 and No. N00014-12-1-0023, and National Aeronautics and Space Administration Award No. NNX10AJ20G. The opinions and conclusions presented in this paper are those of the authors 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.” Cement Concrete 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, CO.
Akpan, U. O., Koko, T. S., Ayyub, B., and Dunbar, T. E. (2002). “Risk assessment of aging ship hull structures in the presence of corrosion and fatigue.” Marine Struct., 15(3), 211–231.
Al-Tayyib, A.-H. J., and Khan, M. S. (1988). “Corrosion rate measurements of reinforcing steel in concrete by electrochemical techniques.” ACI Mater. J., 85(3), 172–177.
Arora, P., Popov, B. N., Haran, B., Ramasubramanian, M., Popova, S., and White, R. E. (1997). “Corrosion initiation time of steel reinforcement in a chloride environment—A one dimensional solution.” Corrosion Sci., 39(4), 739–759.
V. Chaker, (1992). Corrosion forms and control for infrastructure, ASTM, West Conshohocken, PA.
Cheung, M. S., and Kyle, B. S. (1996). “Service life prediction of concrete structures by reliability analysis.” Construct. Build. Mater., 10(1), 45–55.
Chung, H.-Y., Manuel, L., and Frank, K. H. (2006). “Optimal inspection scheduling of steel bridges using nondestructive testing techniques.” J. Bridge Eng., 11(3), 305–319.
Cramer, E. H., and Friis-Hansen, P. (1994). “Reliability-based optimization of multi-component welded structures.” J. Offshore Mech. Arctic Eng., 116(4), 223–238.
Crawshaw, J., and Chambers, J. (1984). A concise course in A-level statistics, Stanley Thornes Publishers, Cheltenham, U.K.
Dhir, R. K., Hewlett, P. C., and Chan, Y. N. (1989). “Near-surface characteristics of concrete: Prediction of carbonation resistance.” Mag. Concr. Res., 41(148), 137–143.
Dobson, W. G., Brodrick, R. F., Wheaton, J. W., Giannotti, J., and Stambaugh, K. A. (1983). “Fatigue considerations in view of measured load spectra.” SSC-315, Ship Structure Committee, Washington, DC.
Ellingwood, B. R., and Mori, Y. (1997). “Reliability-based service life assessment of concrete structures in nuclear power plants: Optimum inspection and repair.” Nuclear Eng. Design, 175(3), 247–258.
Enright, M. P., and Frangopol, D. M. (1999). “Maintenance planning for deteriorating concrete bridges.” J. Struct. Eng., 125(12), 1407–1414.
Estes, A. C., and Frangopol, D. M. (1999). “Repair optimization of highway bridges using system reliability approach.” J. Struct. Eng., 125(7), 766–775.
Fatemi, A., and Yang, L. (1998). “Cumulative fatigue damage and life prediction theories: A survey of the state of the art for homogeneous materials.” Int. J. Fatigue, 20(1), 9–34.
Fisher, J. W. (1984). Fatigue and fracture in steel bridges, Wiley, New York.
Forsyth, D. S., and Fahr, A. (1998). “An evaluation of probability of detection statistics.” RTO-AVT Workshop on Airframe Inspection Reliability Under Field/Depot Conditions, NATO Research and Technology Organization, Neuilly-sur-Seine, Cedex, France.
Frangopol, D. M. (2011). “Life-cycle performance, management, and optimization of structural systems under uncertainty: accomplishments and challenges.” Struct. Infrastruct. Eng., 7(6), 389–413.
Frangopol, D. M., and Kim, S. (2011). “Service life, reliability and maintenance of civil structures.” Chapter 5, Service life estimation and extension of civil engineering structures, L. S. Lee and V. Karbari, eds., Woodhead Publishing, Cambridge, U.K., 145–178.
Frangopol, D. M., Kong, J. S., and Gharaibeh, E. S. (2001). “Reliability-based life-cycle management of highway bridges.” J. Comput. Civ. Eng., 15(1), 27–34.
Frangopol, D. M., Lin, K. Y., and Estes, A. C. (1997a). “Life-cycle cost design of deteriorating structures.” J. Struct. Eng., 123(10), 1390–1401.
Frangopol, D. M., Lin, K. Y., and Estes, A. C. (1997b). “Reliability of reinforced concrete girders under corrosion attack.” J. Struct. Eng., 123(3), 286–297.
Garbatov, Y., and Soares, C. G. (2001). “Cost and reliability based strategies for fatigue maintenance planning of floating structures.” Reliability Eng. Syst. Safety, 73(3), 293–301.
Gonzalez, J. A., Andrade, C., Alonso, C., and Feliu, S. (1995). “Comparison of rate of general corrosion and maximum pitting penetration on concrete embedded steel reinforcement.” Cement Concrete Res., 25(2), 257–264.
Irwin, G. R. (1958). “The crack-extension-force for a crack at a free surface boundary.” NRL Rep. 5120, Naval Research Laboratory, Washington, DC.
Jung, W.-Y., Yoon, Y.-S., and Sohn, Y.-M. (2003). “Predicting the remaining service life of land concrete by steel corrosion.” Cement Concrete Res., 33(5), 663–677.
Kim, S., and Frangopol, D. M. (2011a). “Inspection and monitoring planning for RC structures based on minimization of expected damage detection delay.” Probabilistic Eng. Mech., 26(2), 308–320.
Kim, S., and Frangopol, D. M. (2011b). “Optimum inspection planning for minimizing fatigue damage detection delay of ship hull structures.” Int. J. Fatigue, 33(3), 448–459.
Kim, S., and Frangopol, D. M. (2012). “Probabilistic bicriterion optimum inspection/monitoring planning: Applications to naval ships and bridges under fatigue.” Struct. Infrastruct. Eng., 8(10), 912–927.
Kim, S., Frangopol, D. M., and Zhu, B. (2011). “Probabilistic optimum inspection/repair planning to extend lifetime of deteriorating RC structures.” J. Perform. Constr. Facil., 25(6), 534–544.
Kwon, K. and Frangopol, D. M. (2012). “Fatigue life assessment and lifetime management of aluminum ships using life-cycle optimization.” J. Ship Res., 56(2), 91–105.
Liang, M.-T., Lin, L.-H., and Liang, C.-H. (2002). “Service life prediction of existing reinforced concrete bridges exposed to chloride environment.” J. Infrastruct. Syst., 8(3), 76–85.
Lukic, M., and Cremona, C. (2001). “Probabilistic optimization of welded joints maintenance versus fatigue and fracture.” Reliability Eng., Syst. Safety, 72(3), 253–264.
Madsen, H. O., Torhaug, R., and Cramer, E. H. (1991). “Probability-based cost benefit analysis of fatigue design, inspection and maintenance.” Proc., Marine Structural Inspection, Maintenance and Monitoring Symposium, Ship Structure Committee, Washington, DC.
MathWorks. (2011). Optimization toolbox 3 user’s guide, MathWorks, Natick, MA.
Miyamoto, A., Kawamura, K., and Nakamura, H. (2000). “Bridge management system and maintenance optimization for existing bridges.” Computer-Aided Civil Infrastruct. Eng., 15(1), 45–55.
Mori, Y., and Ellingwood, B. R. (1994). “Maintaining reliability of concrete structures. I: Role of inspection/repair.” J. Struct. Eng., 120(3), 824–845.
National Cooperative Highway Research Program (NCHRP). (2006). “Manual on service life of corrosion-damaged reinforced concrete bridge superstructure elements.” NCHRP Rep. 558, Transportation Research Board, National Cooperative Highway Research Program, Washington DC.
Orcesi, A. D., and Cremona, C. F. (2009). “Optimization of management strategies applied to the national reinforced concrete bridge stock in France.” Struct. Infrastruct. Eng., 5(5), 355–366.
Paris, P. C., and Erdogan, F. A. (1963). “Critical analysis of crack propagation laws.” J. Basic Eng., 85(Series D), 528–534.
Schijve, J. (2003). “Fatigue of structures and materials in the 20th century and the state of the art.” Int. J. Fatigue, 25(8), 679–702.
Stewart, M. G. (2004). “Spatial variability of pitting corrosion and its influence of structural fragility and reliability of RC beams in flexure.” Struct. Safety, 26(4), 453–470.
Stewart, M. G. (2006). “Spatial variability of damage and expected maintenance costs for deteriorating RC structures.” Struct. Infrastruct. Eng., 2(2), 79–90.
Stewart, M. G., and Rosowsky, D. V. (1998). “Time-dependent reliability of deteriorating reinforced concrete bridge decks.” Struct. Safety, 20(1), 91–109.
Torres-Acosta, A. A., and Martinez-Madrid, M. (2003). “Residual life of corroding reinforced concrete structures in marine environment.” J. Mater. Civ. Eng., 15(4), 344–353.
Tuutti, K. (1982). “Corrosion of steel in concrete.” CBI Research Report 4:82, Swedish Cement and Concrete Research Institute (CBI), Stockholm, Sweden.
Val, D. V., and Melchers, R. E. (1997). “Reliability of deteriorating RC slab bridges.” J. Struct. Eng., 123(12), 1638–1644.
Val, D. V., and Trapper, P. A. (2008). “Probabilistic evaluation of initiation time of chloride-induced corrosion.” Reliability Eng. Syst. Safety, 93(3), 364–372.
van Noortwijk, J. M., and Frangopol, D. M. (2004). “Two probabilistic life-cycle maintenance models for deteriorating civil infrastructures.” Probabilistic Eng. Mech., 19(4), 345–359.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Safety, 22(4), 313–333.
Zayed, T. M., Chang, L.-M., and Fricker, J. D. (2002). “Life-cycle cost based maintenance plan for steel bridge protection systems.” J. Perform. Construct. Facilities, 16(2), 55–62.
Zhang, J., and Lounis, Z. (2006). “Sensitivity analysis of simplified diffusion-based corrosion initiation model of concrete structures exposed to chlorides.” Cement Concrete Res., 36(7), 312–323.
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Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 3 • March 2013
Pages: 435 - 447
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Aug 29, 2011
Accepted: Jun 13, 2012
Published online: Feb 15, 2013
Published in print: Mar 1, 2013
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