Smart Structures and Systems

  • 제18권3호
  • /
  • Pages.569-584
  • /
  • 2016
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Stochastic modelling and optimum inspection and maintenance strategy for fatigue affected steel bridge members

  • Huang, Tian-Li (School of Civil Engineering, Central South University) ;
  • Zhou, Hao (School of Civil Engineering, Central South University) ;
  • Chen, Hua-Peng (School of Civil Engineering, Central South University) ;
  • Ren, Wei-Xin (School of Civil Engineering, Central South University)
  • 투고 : 2015.09.14
  • 심사 : 2016.03.20
  • 발행 : 2016.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a method for stochastic modelling of fatigue crack growth and optimising inspection and maintenance strategy for the structural members of steel bridges. The fatigue crack evolution is considered as a stochastic process with uncertainties, and the Gamma process is adopted to simulate the propagation of fatigue crack in steel bridge members. From the stochastic modelling for fatigue crack growth, the probability of failure caused by fatigue is predicted over the service life of steel bridge members. The remaining fatigue life of steel bridge members is determined by comparing the fatigue crack length with its predetermined threshold. Furthermore, the probability of detection is adopted to consider the uncertainties in detecting fatigue crack by using existing damage detection techniques. A multi-objective optimisation problem is proposed and solved by a genetic algorithm to determine the optimised inspection and maintenance strategy for the fatigue affected steel bridge members. The optimised strategy is achieved by minimizing the life-cycle cost, including the inspection, maintenance and failure costs, and maximizing the service life after necessary intervention. The number of intervention during the service life is also taken into account to investigate the relationship between the service life and the cost for maintenance. The results from numerical examples show that the proposed method can provide a useful approach for cost-effective inspection and maintenance strategy for fatigue affected steel bridges.

키워드

과제정보

연구 과제 주관 기관 : Natural Science Foundation of China

참고문헌

  1. Avramidis, A.N., L'Ecuyer, P. and Tremblay, P.A. (2003), "Efficient simulation of gamma and variance-gamma processes", Proceedings of the 2003 Winter Simulation Conference, Piscataway, NJ, USA.
  2. Beck, A.T. and de Santana Gomes, W.J. (2013), "Stochastic fracture mechanics using polynomial chaos", Probabilist. Eng. Mech., 34, 26-39. https://doi.org/10.1016/j.probengmech.2013.04.002
  3. Berens, A. and Hovey, P. (1981), "Evaluation of NDE reliability Characterization", Report No AFWAL-TR-81-4160, Vol. 1. University of Dayton Research Institute.
  4. Casciati, F., Colombi, P. and Faravelli, L. (2007), "Inherent variability of an experimental crack growth curve", Struct. Saf., 29(1), 66-76. https://doi.org/10.1016/j.strusafe.2006.02.001
  5. Chen, H.P. and Alani, A.M. (2012), "Reliability and optimised maintenance for sea defences", Proc. ICE-Maritime Eng., 165(2), 51-64.
  6. Chen, H.P. and Alani, A.M. (2013), "Optimized maintenance strategy for concrete structures affected by cracking due to reinforcement corrosion", ACI Struct. J., 110(2), 229-238.
  7. Chen, H.P. and Huang, T.L. (2012), "Updating finite element model using dynamic perturbation method and regularization algorithm", Smart Struct. Syst., 10(4-5), 427-442. https://doi.org/10.12989/sss.2012.10.4_5.427
  8. Chen, H.P. and Nepal, J. (2015), "Stochastic modelling and lifecycle performance assessment of bond strength of corroded reinforcement in concrete", Struct. Eng. Mech., 54(2), 319-336. https://doi.org/10.12989/sem.2015.54.2.319
  9. Chen, H.P. and Xiao, N. (2015), "Symptom-based reliability analyses and performance assessment of corroded reinforced concrete structures", Struct. Eng. Mech., 53(6), 1183-1200. https://doi.org/10.12989/sem.2015.53.6.1183
  10. Chiquet, J., Limnios, N. and Eid, M. (2009), "Piecewise deterministic Markov processes applied to fatigue crack growth modeling", J. Stat. Plan. Infer., 139(5), 1657-1667. https://doi.org/10.1016/j.jspi.2008.05.034
  11. Chung, H.Y., Manuel, L. and Frank, K.H. (2006), "Optimal inspection scheduling of steel bridges using nondestructive testing techniques", J. Bridge Eng. -ASCE, 11(3), 305-319. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:3(305)
  12. Deng, L., Wang, W. and Yu, Y. (2015), "State-of-the-art review on the causes and mechanisms of bridge collapse", J. Perform. Constr. Fac., 04015005.
  13. Fisher, J.W. (1984), Fatigue and fracture in steel bridges: case studies, John Wiley, New York.
  14. Fisher, J.W. and Roy, S. (2011), "Fatigue of steel bridge infrastructure", Struct. Infrastruct. Eng., 7(7-8), 457-475. https://doi.org/10.1080/15732479.2010.493304
  15. Fisher, J.W. and Roy, S. (2015), "Fatigue damage in steel bridges and extending their life", Adv. Steel Constr., 11(3), 250-268.
  16. Forman, R.G., Kearney, V.E. and Engle, R.M. (1967), "Numerical analysis of crack propagation in cyclic-loaded structures", J. Basic Eng., 89(3), 459-464. https://doi.org/10.1115/1.3609637
  17. 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, RTO MP-10, Brussels, Belgium.
  18. 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
  19. Ghonem, H. and Dore, S. (1987), "Experimental study of the constant-probability crack growth curves under constant amplitude loading", Eng. Fract. Mech., 27(1), 1-25. https://doi.org/10.1016/0013-7944(87)90002-6
  20. Gomes, W.J. and Beck, A.T. (2014), "Optimal inspection planning and repair under random crack propagation", Eng. Struct., 69, 285-296. https://doi.org/10.1016/j.engstruct.2014.03.021
  21. Guida, M. and Penta, F. (2015), "A gamma process model for the analysis of fatigue crack growth data", Eng. Fract. Mech., 142, 21-49. https://doi.org/10.1016/j.engfracmech.2015.05.027
  22. Huang, T.L., Zhou, H., Ren, W.X. and Chen, H.P. (2014), "Gamma process modelling and repair planning of fatigue damaged of steel bridge members", Proceedings of the 12th International Conference on Computational Structures Technology (CST 2014), Naples, Italy.
  23. Huang, T.L., Zhou, H., Wang, C., Ren, W.X. and Chen, H.P. (2015), "Optimization inspection and maintenance strategy for corrosive reinforced concrete girder bridges based on Gamma process", J. Central South Univ. (Natural Science), 46(5),1851-1861. (In Chinese)
  24. Jandu, A.S. (2008), "Inspection and maintenance of highway structures in England", Pro. ICE, Bridge Eng., 161(3), 111-114.
  25. Kim, S. and Frangopol, D.M. (2013), "Generalized probabilistic framework for optimum inspection and maintenance planning", J. Struct. Eng. - ASCE, 139(3), 435-447. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000676
  26. Kwon, K. and Frangopol, D.M. (2011), "Bridge fatigue assessment and management using reliability-based crack growth and probability of detection models", Probabilist. Eng. Mech., 26(3), 471-480. https://doi.org/10.1016/j.probengmech.2011.02.001
  27. Lovejoy, S.C. (2003), "Determining appropriate fatigue inspection intervals for steel bridge members", J. Bridge Eng. - ASCE, 8(2), 66-72. https://doi.org/10.1061/(ASCE)1084-0702(2003)8:2(66)
  28. MathWorks. (2012), "Optimization toolbox Version 6.2 user's guide", MathWorks, Natick, MA.
  29. Mertz, D. (2012), "Steel Bridge Design Handbook: Design for Fatigue", Report No. FHWA-IF-12-052-Vol. 12.
  30. Miki, C. (2007), "Retrofitting engineering for steel bridge structures", International Institute of Welding.
  31. Paris, P.C. and Erdogan, F. (1963), "A critical analysis of crack propagation laws", J. Basic Eng., 85(4), 528-534. https://doi.org/10.1115/1.3656900
  32. Sobczyk, K. and Spencer, Jr, B.F. (1992), Random fatigue: from data to theory, Academic Press, New York.
  33. Soliman, M., Frangopol, D.M. and Kim, S. (2013), "Probabilistic optimum inspection planning of steel bridges with multiple fatigue sensitive details", Eng. Struct., 49, 996-1006. https://doi.org/10.1016/j.engstruct.2012.12.044
  34. Soliman, S. and Frangopol, D. (2014), "Life-Cycle Management of Fatigue-Sensitive Structures Integrating Inspection Information", J. Infrastruct. Syst., 20(2), 04014001. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000169
  35. Spencer, Jr. B.F., Tang, J. and Artley, M. E. (1989), "Stochastic approach to modeling fatigue crack growth", AIAA J., 27(11), 1628-1635. https://doi.org/10.2514/3.10311
  36. Tang, M.C. (2011), "A new concept of orthotropic steel bridge deck", Struct. Infrastruct. Eng., 7(7-8), 587-595. https://doi.org/10.1080/15732479.2010.496996
  37. Valdebenito, M.A. and Schueller, G.I. (2010), "Design of maintenance schedules for fatigue-prone metallic components using reliability-based optimization", Comput. Method. Appl. Mech., 199(33), 2305-2318. https://doi.org/10.1016/j.cma.2010.03.028
  38. Van Noortwijk, J.M. (2009), "A survey of the application of Gamma processes in maintenance", Reliab. Eng. Syst. Safe., 94(1), 2-21. https://doi.org/10.1016/j.ress.2007.03.019
  39. Van Noortwijk, J.M. and Frangopol, D.M. (2004), "Two probabilistic life-cycle maintenance models for deteriorating civil infrastructres", Probabilist. Eng. Mech., 19(4), 345-359. https://doi.org/10.1016/j.probengmech.2004.03.002
  40. Virkler, D.A., Hillberry, B. and Goel, P.K. (1979), "The statistical nature of fatigue crack propagation", J. Eng. Mater. Technol. - ASME, 101(2), 148-153. https://doi.org/10.1115/1.3443666
  41. Wu, W.F. and Ni, C.C. (2004), "Probabilistic models of fatigue crack propagation and their experimental verification", Probabilist. Eng. Mech., 19(3), 247-257. https://doi.org/10.1016/j.probengmech.2004.02.008
  42. Yang, J.N. and Manning, S.D. (1996), "A simple second order approximation for stochastic crack growth analysis", Eng. Fract. Mech., 53(5), 677-686. https://doi.org/10.1016/0013-7944(95)00130-1
  43. Zeng, Y., Tan, H., Sun, S., Gan, L., Liu, G. and Qu, M. (2013), "Probability-based optimization method for the fatigue maintenance strategies of steel bridge welded components", China Railway Science, 34(1), 29-34. (In Chinese)

피인용 문헌

  1. Stochastic modelling fatigue crack evolution and optimum maintenance strategy for composite blades of wind turbines vol.63, pp.6, 2016, https://doi.org/10.12989/sem.2017.63.6.703
  2. Fatigue study on additional cutout between U shaped rib and floorbeam in orthotropic bridge deck vol.28, pp.3, 2016, https://doi.org/10.12989/scs.2018.28.3.319
  3. On determining a non-periodic preventive maintenance schedule using the failure rate threshold for a repairable system vol.22, pp.2, 2018, https://doi.org/10.12989/sss.2018.22.2.151
  4. Reliability Based Life Cycle Management of Bridge Subjected to Fatigue Damage vol.6, pp.None, 2016, https://doi.org/10.3389/fbuil.2020.00100
  5. Reliability-Based Lifetime Fatigue Damage Assessment of Offshore Composite Wind Turbine Blades vol.34, pp.3, 2021, https://doi.org/10.1061/(asce)as.1943-5525.0001260