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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Combined Methods in Nondeterministic Mechanics
verfasst von : Michael Oberguggenberger
Erschienen in: Nondeterministic Mechanics
Verlag: Springer Vienna
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The goal of the lectures on
Combined Methods
is to discuss various (mathematical and conceptual) approaches that have been put forth as tools for modeling uncertainty in engineering, among them probability, interval arithmetic, random sets, fuzzy sets, sets of probability measures, and previsions. After recalling the definitions, we stress their interpretations (semantics), axioms, interrelations as well as numerical procedures and demonstrate how the concepts are applied in practice. As an accompanying example we use the dimensioning of an elastically bedded beam. Further applications of combined methods in aerospace engineering, to vibrations of belltowers, in queueing theory, and to tuned massed dampers will be sketched.