On polymorphic uncertainty modeling in shell buckling

Author:

Fina Marc1ORCID,Wagner Werner1,Graf Wolfgang2

Affiliation:

1. Institut für Baustatik Karlsruher Institut für Technologie Karlsruhe Germany

2. Institut für Statik und Dynamik der Tragwerke Technische Universität Dresden Dresden Germany

Abstract

AbstractBuckling is typically the governing failure mode of thin‐walled shells. In particular, geometric and material imperfections have a major influence on the buckling behavior. Small variations of imperfections have large effects on the load‐bearing behavior. However, the design of shells is still characterized by a deterministic way of thinking, in which uncertainties have not yet been sufficiently considered. Even in probabilistic approaches, false assumptions are often generated due to the small amount of experimental data. The focus of this paper is an appropriate uncertainty quantification based on the available data. Therefore, the concept of polymorphic uncertainty modeling is presented on axially loaded shells with different types of imperfections. Finally, an idea for a novel design concept for shells based on a fuzzy‐valued safety level is introduced. The paper is intended to initiate a rethinking of the methodology for the numerical design of shells with an appropriate uncertainty quantification.

Publisher

Wiley

Subject

Computational Theory and Mathematics,Computer Graphics and Computer-Aided Design,Computer Science Applications,Civil and Structural Engineering,Building and Construction

Reference49 articles.

1. The effect of imperfect boundary conditions on the collapse behavior of anisotropic shells

2. Arbocz J. &Abramovich H.(1979).The initial imperfection data bank at the Delft University of Technology: Part I. Faculty of Aerospace Engineering. Tech. rep.

3. Beer M.(2002).Fuzziness und Fuzzy‐Zufälligkeit bei der Sicherheitsbeurteilung von Tragwerken. H.5.Lehrstuhl für Statik TU Dresden.

4. Imprecise probabilities in engineering analyses

5. Efficient modeling of imperfections for buckling analysis of composite cylindrical shells

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