Failure Probability and Parameter Estimation for Structures with Weibull-Distributed Strength

  • A. Vulpe
  • V. F. Poteraşu
  • A. Cărăuşu
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The main problem considered in this paper is the evaluation of the failure probability of a structural system with Weibull-distributed strength subjected to a dynamic random loading effect, modeled by a Gaussian stochastic process. The failure probability of the system is evaluated under these probabilistic assumptions together with the hypothesis of a Poisson distribution for the number of upcrossings of a level by the loading process. The probability of at least one upcrossing is derived with any desired accuracy. The parameter estimation of a slightly generalized Weibull distribution is also discussed. The final section is concerned with the evaluation of the failure probability of a structural system subjected to seismic excitation.


Weibull Distribution Failure Probability Seismic Excitation Spectral Moment Probabilistic Assumption 
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Copyright information

© Springer-Verlag, Berlin, Heidelberg 1985

Authors and Affiliations

  • A. Vulpe
    • 1
  • V. F. Poteraşu
    • 1
  • A. Cărăuşu
    • 1
  1. 1.Polytechnic Institute of IasiRomania

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