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Combined Methods in Nondeterministic Mechanics

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Nondeterministic Mechanics

Part of the book series: CISM Courses and Lectures ((CISM,volume 539))

Abstract

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.

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  1. Institute of Basic Sciences in Civil Engineering, University of Innsbruck, Innsbruck, Austria

    Michael Oberguggenberger

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    Isaac Elishakoff

  2. Université Paris-Est, Marne-La-Vallée, France

    Christian Soize

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Oberguggenberger, M. (2012). Combined Methods in Nondeterministic Mechanics. In: Elishakoff, I., Soize, C. (eds) Nondeterministic Mechanics. CISM Courses and Lectures, vol 539. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1306-6_6

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