Probabilistic Optimum Bridge System Maintenance Management Considering Correlations of Deteriorating Components and Service Life Extensions
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8, Issue 3
Abstract
Service life extensions of bridge components and systems due to maintenance can be correlated when the maintenance actions are applied to multiple bridge components. This paper deals with the probabilistic optimum bridge maintenance management of deteriorating bridge components and systems. The proposed maintenance management integrates two types of correlation: (1) the correlation among the safety margins of bridge components, and (2) the correlation among service life extensions due to maintenance actions. The effects of these two types of correlation on the extended service life, probability of failure, and optimum maintenance planning for bridge components and systems are investigated. This paper uses series-parallel models to represent a bridge system. The extended service life of a bridge system is estimated based on the extended service lives of its components considering (1) independent and perfectly correlated safety margins, and (2) independent, partially correlated, and perfectly correlated service life extensions. The optimum maintenance plannings for bridge components and systems are based on maximizing the time to reach their target probability of failure. The effects of the correlation associated with both the safety margins and the service life extensions on the optimum maintenance application times and the time to reach the target probability of failure are investigated. The proposed approach is illustrated on an existing reinforced concrete bridge under corrosion.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The support by grants from (1) the National Science Foundation (NSF) Award CMMI-1537926; (2) the Commonwealth of Pennsylvania, Department of Community and Economic Development, through the Pennsylvania Infrastructure Technology Alliance (PITA); and (3) the National Research Foundation of Korea (NRF) by Ministry of Science and ICT of Korean government Award NRF-2018R1C1B5044084 is gratefully acknowledged. The opinions presented in this paper are those of the authors and do not necessarily reflect the views of the sponsoring organizations.
References
AASHTO. 2007. AASHTO maintenance manual for roadways and bridges. 4th ed. Washington, DC: AASHTO.
Alampalli, S. 2014. “Bridge maintenance.” In Bridge engineering handbook. 2nd ed. London: CRC Press.
Ang, A. H. S., and W. H. Tang. 1984. Probability concepts in engineering planning and design: Decision, risk and reliability. New York: Wiley.
Angst, U. M. 2018. “Challenges and opportunities in corrosion of steel in concrete.” In Materials and structures. Berlin: Springer.
Beck, A., and Y. C. Eldar. 2013. “Sparsity constrained nonlinear optimization: Optimality conditions and algorithms.” SIAM J. Optim. 23 (3): 1480–1509. https://doi.org/10.1137/120869778.
Bucher, C., and D. M. Frangopol. 2006. “Optimization of lifetime maintenance strategies for deteriorating structures considering probabilities of violating safety, condition, and cost thresholds.” Prob. Eng. Mech. 21 (1): 1–8. https://doi.org/10.1016/j.probengmech.2005.06.002.
Darlington, J., C. C. Pantelides, B. Rustema, and B. A. Tanyi. 1999. “An algorithm for constrained nonlinear optimization under uncertainty.” Automatica 35 (2): 217–228. https://doi.org/10.1016/S0005-1098(98)00150-2.
ElSafty, A., and A. Abdel-Mohti. 2013. “Investigation of likelihood of cracking in reinforced concrete bridge decks.” Int. J. Concr. Struct. Mater. 7 (1): 79–93. https://doi.org/10.1007/s40069-013-0034-3.
Enright, M. P., and D. M. Frangopol. 1998. “Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion.” Eng. Struct. 20 (11): 960–971. https://doi.org/10.1016/S0141-0296(97)00190-9.
Enright, M. P., and D. M. Frangopol. 1999a. “Condition prediction of deteriorating concrete bridges using Bayesian updating.” J. Struct. Eng. 125 (10): 1118–1125. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:10(1118).
Enright, M. P., and D. M. Frangopol. 1999b. “Maintenance planning for deteriorating concrete bridges.” J. Struct. Eng. 125 (12): 1407–1414. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:12(1407).
Estes, A. C., and D. M. Frangopol. 1999. “Repair optimization of highway bridges using system reliability approach.” J. Struct. Eng. 125 (7): 766–775. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:7(766).
FHWA (Federal Highway Administration). 2000. Materials and methods for corrosion control of reinforced and prestressed concrete structures in new construction. Washington, DC: FHWA.
FHWA (Federal Highway Administration). 2015. Bridge maintenance reference manual. Washington, DC: FHWA.
Frangopol, D. M. 2011. “Life-cycle performance, management, and optimisation of structural systems under uncertainty: Accomplishments and challenges.” Struct. Infrastruct. Eng. 7 (6): 389–413. https://doi.org/10.1080/15732471003594427.
Frangopol, D. M., Y. Dong, and S. Sabatino. 2017. “Bridge life-cycle performance and cost: Analysis, prediction, optimization, and decision-making.” Struct. Infrastruct. Eng. 13 (10): 1239–1257. https://doi.org/10.1080/15732479.2016.1267772.
Frangopol, D. M., Y. Ide, E. Spacone, and I. Iwaki. 1996. “A new look at reliability of reinforced concrete columns.” Struct. Saf. 18 (2–3): 123–150. https://doi.org/10.1016/0167-4730(96)00015-X.
Frangopol, D. M., and S. Kim. 2019. Life-cycle of structures under uncertainty: Emphasis on fatigue-sensitive civil and marine structures. Boca Raton, FL: CRC Press.
Frangopol, D. M., and S. Kim. 2022. Bridge safety, maintenance and management in a life-cycle context. Boca Raton, FL: CRC Press.
Frangopol, D. M., K.-Y. Lin, and A. C. Estes. 1997. “Life-cycle cost design of deteriorating structure.” J. Struct. Eng. 123 (10): 1390–1401. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1390).
Frangopol, D. M., and R. Nakib. 1991. “Redundancy in highway bridges.” Eng. J. ASCE 28 (1): 45–50.
Frangopol, D. M., and M. Soliman. 2016. “Life-cycle of structural systems: Recent achievements and future directions.” Struct. Infrastruct. Eng. 12 (1): 1–20. https://doi.org/10.1080/15732479.2014.999794.
Furuta, H., T. Kameda, K. Nakahara, Y. Takahashi, and D. M. Frangopol. 2006. “Optimal bridge maintenance planning using improved multi-objective genetic algorithm.” Struct. Infrastruct. Eng. 2 (1): 33–41. https://doi.org/10.1080/15732470500031040.
Garbatov, Y., and C. Guedes Soares. 2001. “Cost and reliability based strategies for fatigue maintenance planning of floating structures.” Reliab. Eng. Syst. Saf. 73 (3): 293–301. https://doi.org/10.1016/S0951-8320(01)00059-X.
Ghosn, M., et al. 2016a. “Performance indicators for structural systems and infrastructure networks.” J. Struct. Eng. 142 (9): F4016003. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001542.
Ghosn, M., et al. 2016b. “Reliability-based structural performance indicators for structural members.” J. Struct. Eng. 142 (9): F4016002. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001546.
Hurt, M., and S. D. Schrock. 2016. Highway bridge maintenance planning and scheduling. Oxford, UK: Butterworth-Heinemann.
Kim, S., D. M. Frangopol, and M. Soliman. 2013. “Generalized probabilistic framework for optimum inspection and maintenance planning.” J. Struct. Eng. 139 (3): 435–447. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000676.
Kim, S., D. M. Frangopol, and B. Zhu. 2011. “Probabilistic optimum inspection/repair planning to extend lifetime of deteriorating structures.” J. Perform. Constr. Facil. 25 (6): 534–544. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000197.
Kim, S., B. Ge, and D. M. Frangopol. 2020. “Optimum target reliability determination for efficient service life management of bridge networks.” J. Bridge Eng. 25 (10): 04020087. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001623.
Kong, J., and D. M. Frangopol. 2004. “Cost–reliability interaction in life-cycle cost optimization of deteriorating structures.” J. Struct. Eng. 130 (11): 1704–1712. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:11(1704).
Lewis, R. M., and V. Torczon. 1999. “Pattern search algorithms for bound constrained minimization.” SIAM J. Optim. 9 (4): 1082–1099. https://doi.org/10.1137/S1052623496300507.
Lin, K.-Y., and D. M. Frangopol. 1996. “Reliability-based optimum design of reinforced concrete girders.” Struct. Saf. 18 (2–3): 239–258. https://doi.org/10.1016/0167-4730(96)00013-6.
Liu, Y., D. M. Frangopol, and M. Cheng. 2019. “Risk-informed structural repair decision making for service life extension of aging naval ships.” Marine Struct. 64 (Mar): 305–321. https://doi.org/10.1016/j.marstruc.2018.10.008.
Liu, L., D. Y. Yang, and D. M. Frangopol. 2020. “Probabilistic cost-benefit analysis for service life extension of ships.” Ocean Eng. 201 (Apr): 107094. https://doi.org/10.1016/j.oceaneng.2020.107094.
Liu, L., D. Y. Yang, and D. M. Frangopol. 2021. “Ship service life extension considering ship condition and remaining design life.” Marine Struct. 78 (Jul): 102940. https://doi.org/10.1016/j.marstruc.2021.102940.
MathWorks. 2021. Global optimization toolbox user’s guide. Natick, MA: MathWorks.
Mehta, P. K., and B. C. Gerwick. 1982. “Cracking-corrosion interaction in concrete exposed to marine environment.” Concr. Int. 4 (10): 45–51.
Moan, T. 2005. “Reliability-based management of inspection, maintenance and repair of offshore structures.” Struct. Infrastruct. Eng. 1 (1): 33–62. https://doi.org/10.1080/15732470412331289314.
Mori, Y., and B. R. Ellingwood. 1994. “Maintaining reliability of concrete structures. I: Role of inspection/repair.” J. Struct. Eng. 120 (3): 824–845. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:3(824).
NCHRP. 2006. Manual on service life of corrosion-damaged reinforced concrete bridge superstructure elements. Washington, DC: Transportation Research Board.
Okasha, N. M., and D. M. Frangopol. 2009. “Time-variant redundancy of structural systems.” Struct. Infrastruct. Eng. 6 (1–2): 279–301. https://doi.org/10.1080/15732470802664514.
Okasha, N. M., and D. M. Frangopol. 2010. “Novel approach for multicriteria optimization of life-cycle preventive and essential maintenance of deteriorating structures.” J. Struct. Eng. 136 (8): 1009–1022. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000198.
Padgett, J. E., K. Dennemann, and J. Ghosh. 2010. “Risk-based seismic life-cycle cost–benefit (LCC-B) analysis for bridge retrofit assessment.” Struct. Saf. 32 (3): 165–173. https://doi.org/10.1016/j.strusafe.2009.10.003.
Sahrapeyma, A., A. Hosseini, and M. S. Marefat. 2013. “Life-cycle prediction of steel bridges using reliability-based fatigue deterioration profile: Case study of Neka bridge.” Int. J. Steel Struct. 13 (2): 229–242. https://doi.org/10.1007/s13296-013-2003-8.
Sánchez-Silva, M., D. M. Frangopol, J. Padgett, and M. Soliman. 2016. “Maintenance and operation of infrastructure systems: Review.” J. Struct. Eng. 142 (9): F4016004. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001543.
Torres-Acosta, A. A., and M. Martinez-Madrid. 2003. “Residual life of corroding reinforced concrete structures in marine environment.” J. Mater. Civ. Eng. 15 (4): 344–353. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:4(344).
Wang, K., D. E. Nelsen, and W. A. Nixon. 2006. “Damaging effects of deicing chemicals on concrete materials.” Cem. Concr. Compos. 28 (2): 173–188. https://doi.org/10.1016/j.cemconcomp.2005.07.006.
WisDOT. 2019. Strength and serviceability of damaged prestressed girders. Washington, DC: FHWA.
Yan, W., L. Deng, F. Zhang, T. Li, and S. Li. 2019. “Probabilistic machine learning approach to bridge fatigue failure analysis due to vehicular overloading.” Eng. Struct. 193 (Aug): 91–99. https://doi.org/10.1016/j.engstruct.2019.05.028.
Yang, S.-I., D. M. Frangopol, and L. C. Neves. 2006. “Optimum maintenance strategy for deteriorating bridge structures based on lifetime functions.” Eng. Struct. 28 (2): 196–206. https://doi.org/10.1016/j.engstruct.2005.06.024.
Zhu, B., and D. M. Frangopol. 2012. “Reliability, redundancy and risk as performance indicators of structural systems during their life-cycle.” Eng. Struct. 41 (8): 34–49. https://doi.org/10.1016/j.engstruct.2012.03.029.
Zhu, B., and D. M. Frangopol. 2013. “Risk-based approach for optimum maintenance of structures under traffic and earthquake loads.” J. Struct. Eng. 139 (3): 422–434. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000671.
Information & Authors
Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8 • Issue 3 • September 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Oct 20, 2021
Accepted: Feb 1, 2022
Published online: May 2, 2022
Published in print: Sep 1, 2022
Discussion open until: Oct 2, 2022
ASCE Technical Topics:
- Analysis (by type)
- Architectural engineering
- Bridge components
- Bridge engineering
- Bridge management
- Building design
- Building management
- Business management
- Correlation
- Design (by type)
- Engineering fundamentals
- Failure analysis
- Maintenance and operation
- Mathematics
- Practice and Profession
- Probability
- Public administration
- Public health and safety
- Safety
- Service life
- Statistics
- Structural engineering
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