Structural Reliability under Incomplete Probability Information
Publication: Journal of Engineering Mechanics
Volume 112, Issue 1
Abstract
A comprehensive framework is set forth for the analysis of structural reliability under incomplete probability information. Under stipulated requirements of consistency, invariance, operability, and simplicity, a method is developed to incorporate in the reliability analysis incomplete probability information on random variables, including moments, bounds, marginal distributions, and partial joint distributions. The method is consistent with the philosophy of Ditlevsen's generalized reliability index and complements existing second‐moment and full‐distribution structural reliability theories.
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References
1.
Der Kiureghian, A., and Liu, P.‐L., “Structural Reliability Under Incomplete Probability Information,” Report No. UCB/SESM‐85/01, Department of Civil Engineering, Division of Structural Engineering and Structural Mechanics, Univ. of California, Berkeley, CA, Jan., 1985.
2.
Ditlevsen, O., “Generalized Second Moment Reliability Index,” Journal of Structural Mechanics, ASCE, Vol. 7, No. 4, 1979, pp. 435–451.
3.
Ditlevsen, O., “Narrow Reliability Bounds for Structural Systems,” Journal of Structural Mechanics, ASCE, Vol. 7, No. 4, Dec., 1979, pp. 453–472.
4.
Ditlevsen, O., “Principle of Normal Tail Approximation,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1191–1208.
5.
Hasofer, A. M., and Lind, N. C., “Exact and Invariant Second‐Moment Code Format,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM1, Feb., 1974, pp. 111–121.
6.
Hohenbichler, M., and Rackwitz, R., “Non‐Normal Dependent Vectors in Structural Safety,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1227–1238.
7.
Johnson, N. L., and Kotz, S., Distributions in Statistics—Continuous Multivariate Distributions, John Wiley & Sons, Inc., New York, NY, 1976.
8.
Madsen, H. O., Krenk, S., and Lind, N. C., Methods of Structural Safety, Prentice‐Hall, Inc., Englewood Cliffs, NJ, 1986.
9.
Nataf, A., “Détermination des Distribution dont les Marges sont Données,” Comptes Rendus de l'Academie des Sciences, Vol. 225, Paris, France, 1962, pp. 42–43.
10.
Papoulis, A., Probability, Random Variables, and Stochastic Processes, McGraw‐Hill, New York, NY, 1965.
11.
Rackwitz, R., and Fiessler, B., “Structural Reliability Under Combined Load Sequences,” Computers and Structures, Vol. 9, 1978, pp. 489–494.
12.
Rosenblatt, M., “Remarks on a Multivariate Transformation,” Annals of Mathematical Statistics, Vol. 23, 1969, pp. 470–472.
13.
Segal, I. E., “Fiducial Distribution of Several Parameters with Applications to a Normal System,” Proceedings of Cambridge Philosophical Society, Vol. 34, 1938, pp. 41–47.
14.
Veneziano, D., “New Index of Reliability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM5, Apr., 1979, pp. 277–296.
15.
Wilkinson, J. H., The Algebraic Eigenvalue Problem, Oxford University Press, Oxford, England, 1965.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 112 • Issue 1 • January 1986
Pages: 85 - 104
Copyright
Copyright © 1986 ASCE.
History
Published online: Jan 1, 1986
Published in print: Jan 1986
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