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Lower Bound Reliability Analysis of Plastic Structures

  • Peter Bjerager
  • Svend Gravesen
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

Within reliability analysis of redundant ideal plastic frame and truss structures reported applications of the lower bound theorem of plasticity theory yield lower bounds on the reliability which are not particularly close to the exact reliability. Focusing on a statically determinate system approach the paper discusses possibilities of obtaining a close lower bound on the reliability by a moderate calculational effort.

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References

  1. [1]
    Augusti, G. and Baratta, A. (1972): Limit Analysis of Structures with Stochastic Strengths Variations. Journal of Structural Mechanics, Vol. 1, No. 1, pp. 43–62.CrossRefGoogle Scholar
  2. [2]
    Bjerager, P. (1984): Reliability Analysis of Structural Systems. Report No. 183, Department of Structural Engineering, Technical University of Denmark.Google Scholar
  3. [3]
    Ditlevsen, O. (1979): Narrow Reliability Bounds for Structural Systems. Journal of Structural Mechanics, Vol. 7, No. 4, December, pp. 453–472.CrossRefGoogle Scholar
  4. [4]
    Ditlevsen, P., Bjerager, P. (1984): Reliability of Highly Redundant Plastic Structures. Journal of Engineering Mechanics, ASCE, Vol. 110, No. 5, May, pp. 671–693.Google Scholar
  5. [5]
    Hohenbichler, M. (1982): An Approximation to the Multivariate Normal Distribution. In: Euromech 155: Reliability Theory of Structural Engineering Systems, DIALOG 6–82, Danish Engineering Academy, Lyngby, pp. 79–110.Google Scholar
  6. [6]
    Madsen, H.O. (1982): Lower Bound Reliability Evaluation for Large Ductile Systems. Technical Note, Det Norske Veritas, Oslo, Norway.Google Scholar

Copyright information

© Springer-Verlag, Berlin, Heidelberg 1985

Authors and Affiliations

  • Peter Bjerager
    • 1
  • Svend Gravesen
    • 1
  1. 1.Department of Structural EngineeringTechnical University of DenmarkLyngbyDenmark

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