A first order reliability method for series systems

Structural Safety

Volumn 22, Issue 1, 2000, Pages 5-26

  Mainçon, Philippe ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Correlation; Design point; FORM; Reliability analysis; Series systems

Indexed keywords

FAILURE ANALYSIS; PROBABILITY; RELIABILITY;

SERIES SYSTEMS; STRUCTURAL SAFETY;

STRUCTURAL ANALYSIS;

EID: 0033881637     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-4730(99)00036-3     Document Type: Article

References (15)

1. Mainçon P. Fatigue reliability of long welds - application to titanium risers. Ph.D. thesis, The Norwegian University of Science and Technology.
2. Ditlevsen O. Narrow reliability bounds for structural systems. Journal of Structural Mechanics. 7(4):1979;453-472.
3. Rackwitz R, Krzykazk B. Structural reliability of reactor systems. In Probablistic analysis of nuclear reactor safety, vol. 3, pp. X8-X11, 1978.
4. Dunnett, Sobel. Approximation of the probability integral and certain percentage point of a multivariate analogue of student's t-distribution. Biometrika 1955:258-260.
5. Stuart AJ. Equally correlated variates and the multinormal integral. Journal of the Royal Statistical Society 1958;20 (B).
6. Nataf A. Détermination des distributions de probabilités dont les marges sont données. Comptes Rendus de l'Academie des Sciences. 225:1962;42-43.
7. Hohenbichler M., Rackwitz R. First-order concepts in system reliability methods. Journal of Structural Safety. 1:1983;177-188.
8. PD6493. Guidance on methods for assessing the acceptability of flaws in fusion welded structures. Technical Report PD6493:1991, British Standards Institute.
9. Hagen Ø, Tvedt L. Vector process out-crossing as parallel system sensitivity measure. Journal of Engineering Mechanics 1991; 117(10).
10. Golub GH, Van Loan CF. Matrix computations. North Oxford Academic, 1983.
11. Arkhangelskii AV, Fedorchuk VV. Encyclopedia of mathematical sciences, vol. 17: General topology I. Springer-Verlag, 1990.
12. Larsen K, Mathisen J. Reliability-based analysis of mooring lines. In Offshore Mechanics and Arctic Engineering, 1996.
13. Mori Y., Ellingwood B.R. Time-dependent system reliability analysis by adaptive importance sampling. Structural Reliability. 12:1993;59-73.
14. Pandey M.D. An effective approximation to evaluate multinormal integrals. Journal of Structural Safety. 20:1998;51-67.
15. Tang L.K., Melcher R.E. Improved approximation for multinormal integral. Journal of Structural Safety. 4:1987;81-93.