Technical Papers
Mar 7, 2013

System Reliability Updating of Fatigue-Induced Sequential Failures

Publication: Journal of Structural Engineering
Volume 140, Issue 3

Abstract

Many structural systems are subjected to the risk of fatigue-induced failures caused by repeated loading during their service. For effective management of such risk, it is essential to estimate the reliability of a structure against fatigue-induced sequential failures and update the estimated reliability based on actual observations made during structural inspections. Despite much research effort dedicated to inspection-based reliability updating of structures, many previous studies aimed at updating the reliability estimates of individual structural members instead of system-level reliability. Moreover, such studies tend to focus on structures which show uniform stress distribution in discrete members such as truss. This paper proposes a new method to update the system-level reliability of a wide variety of structures under the risk of fatigue-induced sequential failures based on inspection results. The proposed system reliability updating method employs the Branch-and-Bound method employing system reliability Bounds (termed the B3 method). For both discrete and continuum structures, the B3 method can identify critical sequences of fatigue-induced failure in the decreasing order of their likelihood through integration with structural analysis and crack growth analysis. Next, the proposed method updates the probabilities of the most critical failure and nonfailure cases identified by the B3 method, so the upper and lower bounds on the system failure probability are efficiently updated with a reasonable size of gap without additional search of failure sequences. The proposed method is first demonstrated by a relatively simple numerical example, whose results can be verified by Monte Carlo simulation. Next, the method is applied to an aircraft longeron example to demonstrate that the method enables efficient and accurate system reliability updating of fatigue-induced sequential failures for a continuum structure under various inspection scenarios.

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References

Ambartzumian, R., Der Kiureghian, A., Ohanian, V., and Sukiasian, H. (1998). “Multinormal probability by sequential conditioned importance sampling: Theory and application.” Probabilist. Eng. Mech., 13(4), 299–308.
ASTM. (1970). “Effects of Environment and Complex Load History on Fatigue Life.” STP462, West Conshohocken, PA, 1–14.
Baker, M. J., and Descamps, B. (1999). “Reliability-based methods in the inspection planning of fixed offshore steel structures.” J. Constructional Steel Research, 52(1), 117–132.
Beden, S. M., Abdullah, S., and Ariffin, A. K. (2009). “Review of fatigue crack propagation models for metallic components.” Eur. J. Sci. Res., 28(3), 364–397.
Daniels, H. E. (1945). “The statistical theory of the strength of bundles of threads.” Proc. Math. Phys. Eng. Sci., 183(995), 405–435.
Deodatis, G., Fujimoto, G., Ito, S., Spencer, J., and Itagaki, H. (1992). “Non-periodic inspection by Bayesian method I.” Probabilist. Eng. Mech., 7(4), 191–204.
Der Kiureghian, A. (2005). “First- and Second-order Reliability Methods.” Chapter 14, Engineering Design Reliability Handbook, E. Nikolaidis, D. M. Ghiocel and S. Singhal, eds., CRC Press, Boca Raton, FL.
Enevoldsen, I., and Sørensen, J. D. (1992). “Optimization algorithms for calculation of the joint design point in parallel systems.” Struct. Optim., 4(2), 121–127.
Forman, R. G., Kearney, V. E., and Engle, R. M. (1967). J. Basic Eng., 89(3), 459–465.
Genz, A. (1992). “Numerical computation of multivariate normal probabilities.” J. Comput. Graph. Stat., 1(2), 141–149.
Grooteman, F. (2008). “A stochastic approach to determine lifetimes and inspection schemes for aircraft components.” Int. J. Fatigue, 30(1), 138–149.
Harter, J. A. (2006). “AFGROW user guide and technical manual (Ver. 4.0011.14).” AFRL-VA-WP-TR-2006-XXXX, Air Force Research Laboratory, WPAFB, OH.
Itagaki, H., and Ito, S. (1998). “A simplified quantitative analysis method for reliability of aging structures. Structural safety and reliability.” N. Shiraishi, M. Shinozuka, and Y. K. Wen, eds., Vol. 1, Balkema, Rotterdam, Netherlands, 217–24.
Jiao, G., and Moan, T. (1990). “Methods of reliability model updating through additional events.” Struct. Saf., 9(2), 139–153.
Kang, W.-H., and Song, J. (2010). “Evaluation of multivariate normal integrals for general systems by sequential compounding.” Struct. Saf., 32(1), 35–41.
Kang, W.-H., Lee, Y.-J., Song, J., and Gencturk, B. (2012). “Further development of matrix-based system reliability method and applications to structural systems.” Structural and Infrastructure Eng.: Maintenance, Management, Life-cycle Design and Performance, 8(5), 441–457.
Karamchandani, A., Dalane, J. I., and Bjerager, P. (1992). “Systems reliability approach to fatigue of structures.” J. Struct. Eng., 684–700.
Kurtz, N., and Song, J. (2013). “Cross-entropy-based adaptive importance sampling using Gaussian mixture.” Struct. Saf., 42, 35–44.
Lee, Y.-J., and Song, J. (2011). “Risk analysis of fatigue-induced sequential failures by branch-and-bound method employing system reliability bounds.” J. Eng. Mech., 807–821.
Lee, Y.-J., and Song, J. (2012). “Finite-element-based system reliability analysis of fatigue-induced sequential failures.” Reliab. Eng. Syst. Saf., 108, 131–141.
Madsen, H. O. (1985). “Random fatigue crack growth and inspection.” Proc. 4th Int. Conf. on Structural Safety and Reliability (ICOSSAR’85), May 27–29, International Association for Structural Safety & Reliability.
Madsen, H. O. (1987). “Model updating in reliability theory.” Proc. 5th Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP5), May 25–29, Institute for Risk Research, Univ. of Waterloo, Waterloo, ON.
Moan, T., and Song, R. (2000). “Implications of inspection updating on system fatigue reliability of offshore structures.” J. Offshore Mech. Arctic Eng., 122(3), 173–180.
Newman, J. C., and Raju, I. S. (1981). “An empirical stress intensity factor equation for the surface crack.” Eng. Fract. Mech., 15(1–2), 185–192.
Pandey, M. D. (1998). “An effective approximation to evaluate multinormal integrals.” Struct. Saf., 20(1), 51–67.
Paris, P. C., and Erdogan, F. (1963). “A critical analysis of crack propagation laws.” J. Basic Eng., 85(4), 528–533.
Song, J., and Der Kiureghian, A. (2003). “Bounds on system reliability by linear programming.” J. Eng. Mech., 627–636.
Song, J., and Kang, W.-H. (2009). “System reliability and sensitivity under statistical dependence by matrix-based system reliability method.” Struct. Saf., 31(2), 148–156.
Straub, D. (2011). “Reliability updating with equality information.” Probabilist. Eng. Mech., 26(2), 254–258.
Taylor, J. (1998). “Probability and statistics in engineering design.” Proc. of the Institution of Mechanical Engineers, Part G: J. Aerospace Eng., 212(3), 177–181.
Wirsching, P. H., Torng, T. Y., Geyer, J. F., and Stahl, B. (1990). “Fatigue reliability and maintainability of marine structures.” Mar. Struct., 3(4), 265–284.
Yang, J. N., and Trapp, W. J. (1974). “Reliability analysis of aircraft structures under random loading and periodic inspection.” AIAA J., 12(12), 1623–1630.
Zhao, Z., Haldar, A., and Breen, F. L. (1994). “Fatigue-reliability updating through inspections of steel bridges.” J. Struct. Eng., 1624–1642.
Zhu, J., and Wu, J. (2011). “Study on system reliability updating through inspection information for existing cable-stayed bridges.” Adv. Mater. Res., 250–253, 2011–2015.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 140Issue 3March 2014

History

Received: Aug 20, 2012
Accepted: Mar 5, 2013
Published online: Mar 7, 2013
Published in print: Mar 1, 2014
Discussion open until: Apr 13, 2014

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Authors

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Young-Joo Lee
Assistant Professor, School of Urban and Environmental Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan 689-798, Republic of Korea.
M.ASCE
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois, Urbana, IL 61801 (corresponding author). E-mail: [email protected]

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