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Marko Thiele, Martin Liebscher, and Wolfgang Graf (2005)
Fuzzy analysis as alternative to stochastic methods - a comparison by means of a crash analysis
In: Proceedings of the 4th German LS-DYNA Forum 2005, edited by Dynamore. DYNAmore, Bamberg, pages D-I-45 -- D-I-63.
A realistic and reliable numerical simulation demands suitable computational models and applicable
data models for the structural design parameters. Structural design parameters are in general nondeterministic.
The choice of an appropriate uncertainty model for describing selected structural design
parameters depends on the characteristics of the available information. Besides the most often used
probabilistic models and the stochastic analysis techniques newer uncertainty models have been developed
that offer the chance to take account of non-stochastic uncertainty that frequently appears in
engineering problems. In this paper a crash analysis example with uncertain structural parameters is
presented. The uncertainty quantification is realized with aid of the uncertainty models randomness and
fuzziness. The quantified uncertain structural parameters are introduced into their respective analysis algorithms:
the stochastic structural analysis and the fuzzy structural analysis. Specifies and advantages
of the uncertainty models fuzziness and randomness and of the associated simulation techniques are
addressed.
The authors would like to thank Daimler Chrysler Commercial Vehicles for supporting this study.
