Optimization of fatigue maintenance strategies based on prognosis results



Yibing Xiang Yongming Liu


A general approach to determine the optimal set of maintenance alternatives for fatigue safety is introduced in this paper. The optimal maintenance alternatives are the solutions to maximize the fatigue reliability of aircrafts fleet subject to maintenance budget. A novel equivalent stress transformation model and the first-order-reliability method (FORM) are adopted to determine the failure probability or reliability associated with future fatigue loading. The equivalent stress transformation model is capable to transform future random loading to an equivalent constant loading, and does not require cycle-by-cycle simulation. First-order-reliability-method can resolve the computational complexity. Optimal maintenance solution can be efficiently found considering the future fatigue loading. Numerical examples are performed to demonstrate the application of the proposed approach.

How to Cite

Xiang , Y. ., & Liu, Y. . (2011). Optimization of fatigue maintenance strategies based on prognosis results. Annual Conference of the PHM Society, 3(1). https://doi.org/10.36001/phmconf.2011.v3i1.2076
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optimization, prognosis, fatigue maintenance, FORM, random loading

Cheng, J., & Li, Q. S. (2009) Reliability analysis of a long span steel arch bridge against wind-induced stability failure during construction. Journal of Constructional Steel Research, 65, 552-558.
Cizelj, L., Mavko, B., & Riesch-Oppermann, H. (1994) Application of first and second order reliability methods in the safety assessment of cracked steam generator tubing. Nuclear Engineering and Design, 147, 359-368.
Der Kiureghian, A., Zhang, Y., & Li, C.-C. (1994) Inverse reliability problem. Journal of Engineering Mechanics, ASCE, 120(5).
Dowling, N. E. (2007). Mechanical behavior of materials : engineering methods for deformation, fracture and fatigue. Upper Saddle River, NJ,London: Pearson Prentice Hall ;Pearson Education.
Garbatov, Y., & Guedes Soares, C. (2001) Cost and reliability based strategies for fatigue maintenance planning of floating structures. Reliability Engineering & System Safety, 73, 293-301.
Haldar, A., & Mahadevan, S. (2000). Probability, reliability, and statistical methods in engineering design. New York ; Chichester [England]: John Wiley.
Hung, Y. Y. (1996) Shearography for non-destructive evaluation of composite structures. Optics and Lasers in Engineering, 24, 161-182.
Kam, T. Y., Chu, K. H., & Tsai, S. Y. (1998) Fatigue reliability evaluation for composite laminates via a direct numerical integration technique. International Journal of Solids and Structures, 35, 1411-1423.
Kazys, R., & Svilainis, L. (1997) Ultrasonic detection and characterization of delaminations in thin composite plates using signal processing techniques. Ultrasonics,35, 367-383.
Koruk, M., & Kilic, M. (2009) The usage of IR
thermography for the temperature measurements inside an automobile cabin. International Communications in Heat and Mass Transfer, 36, 872-877.
Liao, M., Xu, X., & Yang, Q.-X. (1995) Cumulative fatigue damage dynamic interference statistical model. International Journal of Fatigue, 17, 559-566.
Liu, Y., & Mahadevan, S. (2007) Stochastic fatigue damage modeling under variable amplitude loading. International Journal of Fatigue, 29, 1149-1161.
Liu, Y., & Mahadevan, S. (2009a) Efficient methods for time-dependent fatigue reliability analysis. AIAA Journal, 47, 494-504.
Liu, Y., & Mahadevan, S. (2009b) Probabilistic fatigue life prediction using an equivalent initial flaw size distribution. International Journal of Fatigue, 31, 476-487.
Liu, Y., Mahadevan, S (2009) Efficient methods for time-dependent fatigue reliability analysis. AIAA Journal, 47, 494-504.
Lu, Z., & Liu, Y. Small time scale fatigue crack growth analysis. International Journal of Fatigue, 32, 1306-1321.
Mikheevskiy, S., & Glinka, G. Elastic-plastic fatigue crack growth analysis under variable amplitude loading spectra. International Journal of Fatigue, 31, 1828- 1836.
Nicoletto, G., Anzelotti, G., & Konecn, R. X-ray computed tomography vs. metallography for pore sizing and fatigue of cast Al-alloys. Procedia Engineering, 2, 547-554.
Pommier, S. (2003) Cyclic plasticity and variable amplitude fatigue. International Journal of Fatigue, 25, 983-997.
Rackwitz, R. a. F., B (1978) Structural Reliablity Under Combined Random Load Sequences. Computers & Structures, 9, 484-494.
Rackwitz, R. a. F., B (June 1976) Note on Discrete Safety Checking When Using Non-Normal Stochastic Models for Basic Variables. Load Project Working Session,MIT,Cambridge,MA.
Skaggs, T. H., & Barry, D. A. (1996) Assessing uncertainty in subsurface solute transport: efficient first-order reliability methods. Environmental Software, 11, 179-184.
Straub, D., & Faber, M. H. (2005) Risk based inspection planning for structural systems. Structural Safety, 27, 335-355.
Thorndahl, S., & Willems, P. (2008) Probabilistic modelling of overflow, surcharge and flooding in urban drainage using the first-order reliability method and parameterization of local rain series. Water Research, 42, 455-466.
Val, D. V., Stewart, M. G., & Melchers, R. E. (1998) Effect of reinforcement corrosion on reliability of highway bridges. Engineering Structures, 20, 1010- 1019.
Xiang, Y., & Liu, Y. (2010) Efficient probabilistic methods for real ‐ time fatigue damage prognosis. PHM 2010, Portland.
Xiang, Y., & Liu, Y. (2010 (accepted) ) Inverse first- order reliability method for probabilistic fatigue life prediction of composite laminates under multiaxial loading. ASCE Journal of Aerospace Engineering.
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