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A Sampling Distribution for System Reliability Assessment

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Reliability and Optimization of Structural Systems

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 33))

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

  1. Cornell,C.A. “Bounds on the Reliability of Structural System” J. Stru. Div. ASCE Vol.93 St1 1967 pp. 171–200

    Google Scholar 

  2. Ditlevsen,O. “Narrow Reliability Bounds for Structural System” J. Stru. Mech. Vol. 7 1979 pp. 435–451

    Article  Google Scholar 

  3. Fu,G. Moses,F. “Lifetime System Reliability Models with Apllication to Highway Bridges” (to appear) Proc. ICASP5 Vancouver, Canada May 1987

    Google Scholar 

  4. Fu,G. Moses,F. “Application of Lifetime System Reliability” Preprint No.52–1 ASCE Structures Congress’86 New Orleans, LA Sep.1986

    Google Scholar 

  5. Grigoria,M. Turkstra,C. “Safety of Structural Systems with Corrlated Resistances” Appl. Math. Modelling Vol. 3 1979 pp. 130–136

    Article  Google Scholar 

  6. Hammersley,J.M. Handscomb,D.C. Monte Carlo Methods London: Methuen Co Ltd. 1964

    Book  MATH  Google Scholar 

  7. 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

    Google Scholar 

  8. 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

    Google Scholar 

  9. Kleijnen,J.P.C. Statistical Techniques in Simulation Part I Marcel Dekker, Inc. 1974

    MATH  Google Scholar 

  10. Melchers,R.E. “Efficient Monte-Carlo Probability Integration” Report No.7/1984 Monash University 1984

    Google Scholar 

  11. National Bureau of Standards Tables of the Bivariate Normal Distribution Function and Related Functions Applied Math. Series 50 June 1959

    Google Scholar 

  12. Pugh,E.L. “A Grdient Technique of Adaptive Monte Carlo” SIAM Review Vol. 8 No. 3 July 1966 pp. 346–355

    Article  MATH  MathSciNet  Google Scholar 

  13. Ramachandran,K. “New Reliability Bounds for Series Systems” Structural Safety and Reliability ICOSSAR’85 (Ed.) Konishi,I. et al Kobe, Japan May 1985

    Google Scholar 

  14. Thoft-Christensen,P. Baker,M.J. Structural Reliability Theory and Its Applications Springer-Verlay New York 1982

    Book  MATH  Google Scholar 

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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

  • eBook Packages: Springer Book Archive

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