Structural Reliability Analysis by Stochastic Dependence Models and Matriceal Techniques

  • A. D. Cărăusu
  • A. N. Vulpe
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 76)


After an outline of the concept of stochastic (probabilistic / statistical) dependence and of the corresponding models for the structural reliability analysis, two algorithms are presented which may be used in the reliability analysis / seismic risk assessment of structures whose failure can be represented in terms of chains of component or elementary failures. Both of them involve specific matriceal techniques.


Failure Mode Fragility Curve Structural Reliability Component Failure Probabilistic Risk Assessment 
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  1. [1]
    Kennedy, R.P., Cornell, C.A., Campbell, R.D., Kaplan, S., & Perla, H.F.: Probabilistic Seismic Safety Study of an Existing Nuclear Plant. Nuclear Engineering and Design, Vol. 59 (1980), 315–338.CrossRefGoogle Scholar
  2. [2]
    Kaplan, S.: A Method for Handling Dependencies and Partial Dependencies of Fragility Curves in Seismic Risk Analysis. Transactions SMiRT 8 Int.Conf., Brussels 1985, Vol.M, 595–600.Google Scholar
  3. [3]
    Apostolakis, G.: The Concept of Dependence in PSA. Trans.SMiRT10Int.Conf., Anaheim 1989, Vol.P, 19–24.Google Scholar
  4. [4]
    Thoft-Christensen, P. & Sorensen, J.D.: Reliability of Structural Systems with Correlated Elements. Appl.Math.Modelling,Vol. 6, 1982, 171–178.CrossRefGoogle Scholar
  5. [5]
    Thoft-Christensen, P.: Reliability Analysis of Structural Systems by the ß -Unzipping Method. Structural Reliability Theory, Paper No.3, Instituttet for Bygningsteknik, Aalborg Univ. 1984, 1–72.Google Scholar
  6. [6]
    Vulpe, A. & Cârâusu, A.: Structural Reliability Assessment by Minimal Representations in a Mechanism Approach. Proc. 2nd IFIP WG Conf., London 1988, Engineering 48, Springer V., 385–399.Google Scholar
  7. [7]
    Vulpe, A. & Cârâu$u, A.: An Integrated Technique for the Seismic Probabilistic Risk Assessment of Structural Systems. Trans. SMiRT 10 Int.Conf., Anaheim 1989, Vol.P, 169–174.Google Scholar
  8. [8]
    Vulpe, A. & Cârâu9u, A.: Matriceal Approaches to Reliability Eve luation of Structures with Progressive Failure. Proc.Fifth International Symp.on Numerical Methods in Engineering, Lausanne 1989 (to appear in Computational Mechanics Publications, Southampton).Google Scholar
  9. [9]
    Vulpe, A. & Cârâusu, A.: Probabilistic Safety Assessment of Strutures Sequentially Failing. Trans. SMiRT 11 Int.Conf., Tokyo 1991, Vol. M (+SDO), 175–180.Google Scholar
  10. [10]
    Apostolakis, G. & Kaplan, S.: Pitfalls in Risk Calculations. Reliability Engineering Vol. 2 (1981), 135–145.CrossRefGoogle Scholar
  11. [11]
    Apostolakis, G.: On the Concept of Dependence in Probabilistic Safety Analysis and Reliability. Accelerated Life Testing and Expert’s Opinions in Reliability. Ed.Compositori - Bologna,1988, CII Corso, 97–105.Google Scholar
  12. [12]
    Apostolakis, G.: The Concept of Probability in Safety Assessments of Technological Systems. Science, Vol. 250 (1990), 1359–1364.CrossRefGoogle Scholar
  13. [13]
    George, L.L., Guarro, S.B., Prassinos, P.G. & Wells, J.E.: “SEISIM=’ Systematic Evaluation of Important Safety Improvement Measures, User Manual,UCID-20496, Lawrence Livermore National Lab.,CA 1985Google Scholar
  14. [14]
    Ravindra, M.K. & Tiong, L.W.: Comparison of Methods for Seismic Risk Quantification. Trans.SMiRT 10, Anaheim 1989,Vol.P,187–192.Google Scholar
  15. [15]
    Ravindra,M.K. & Johnson,J.J.: Seismically Induced Common Cause Failures in PSA of NPP.Trans.SMiRT 11, Tokyo 1991,Vo1.M, 85–90.Google Scholar

Copyright information

© International Federation for Information Processing, Geneva, Switzerland 1992

Authors and Affiliations

  • A. D. Cărăusu
    • 1
  • A. N. Vulpe
    • 2
  1. 1.Department of MathematicsPolytechnic Institute of IasiIasi-6Romania
  2. 2.Department of Structural MechanicsPolytechnic Institute of IasiIasi-6Romania

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