Abstract
This paper introduces a sampling distribution (WGNSD) for Importance Sampling method, which can be used in structural system reliability assessment. Four numerical examples of various cases presented verify success of the approach. It is clarified that independent sampling distribution produces poor estimates for correlated structural system.
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References
Cornell,C.A. “Bounds on the Reliability of Structural System” J. Stru. Div. ASCE Vol.93 St1 1967 pp. 171–200
Ditlevsen,O. “Narrow Reliability Bounds for Structural System” J. Stru. Mech. Vol. 7 1979 pp. 435–451
Fu,G. Moses,F. “Lifetime System Reliability Models with Apllication to Highway Bridges” (to appear) Proc. ICASP5 Vancouver, Canada May 1987
Fu,G. Moses,F. “Application of Lifetime System Reliability” Preprint No.52–1 ASCE Structures Congress’86 New Orleans, LA Sep.1986
Grigoria,M. Turkstra,C. “Safety of Structural Systems with Corrlated Resistances” Appl. Math. Modelling Vol. 3 1979 pp. 130–136
Hammersley,J.M. Handscomb,D.C. Monte Carlo Methods London: Methuen Co Ltd. 1964
Harbitz,A. “Efficient and Accurate Probability of Failure Calculation by Use of the Importance Sampling Technique” Proc. ICASP4 (Ed.) Augusti,G. et al Italy June 1983 pp. 825–836
Kahn,H. “Use of Different Monte Carlo Sampling Techniques” Symposium on Monte Carlo Methods (Ed.) Meyer,H.A. John Wiley Sons, Inc. New York 1956 pp. 146–190
Kleijnen,J.P.C. Statistical Techniques in Simulation Part I Marcel Dekker, Inc. 1974
Melchers,R.E. “Efficient Monte-Carlo Probability Integration” Report No.7/1984 Monash University 1984
National Bureau of Standards Tables of the Bivariate Normal Distribution Function and Related Functions Applied Math. Series 50 June 1959
Pugh,E.L. “A Grdient Technique of Adaptive Monte Carlo” SIAM Review Vol. 8 No. 3 July 1966 pp. 346–355
Ramachandran,K. “New Reliability Bounds for Series Systems” Structural Safety and Reliability ICOSSAR’85 (Ed.) Konishi,I. et al Kobe, Japan May 1985
Thoft-Christensen,P. Baker,M.J. Structural Reliability Theory and Its Applications Springer-Verlay New York 1982
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© 1987 Springer-Verlag Berlin, Heidelberg
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Fu, G., Moses, F. (1987). A Sampling Distribution for System Reliability Assessment. In: Thoft-Christensen, P. (eds) Reliability and Optimization of Structural Systems. Lecture Notes in Engineering, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83279-6_10
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DOI: https://doi.org/10.1007/978-3-642-83279-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18570-3
Online ISBN: 978-3-642-83279-6
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