Probabilistic and fuzzy arithmetic approaches for the treatment of uncertainties in the installation of torpedo piles.

*(English)*Zbl 1162.93368Summary: The “torpedo” pile is a foundation system that has been recently considered to anchor mooring lines and risers of floating production systems for offshore oil exploitation. The pile is installed in a free fall operation from a vessel. However, the soil parameters involved in the penetration model of the torpedo pile contain uncertainties that can affect the precision of analysis methods to evaluate its final penetration depth. Therefore, this paper deals with methodologies for the assessment of the sensitivity of the response to the variation of the uncertain parameters and mainly to incorporate into the analysis method techniques for the formal treatment of the uncertainties. Probabilistic and “possibilistic” approaches are considered, involving, respectively, the Monte Carlo method and concepts of fuzzy arithmetic. The results and performance of both approaches are compared, stressing the ability of the latter approach to efficiently deal with the uncertainties of the model, with outstanding computational efficiency, and therefore, to comprise an effective design tool.

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\textit{D. M. K. N. Kunitaki} et al., Math. Probl. Eng. 2008, Article ID 512343, 26 p. (2008; Zbl 1162.93368)

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