Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005 

On the treatment of uncertainties in structural mechanics and analysis

G.I. SchuŽller*
Institute of Engineering Mechanics, Leopold-Franzens University, A-6020 Innsbruck, Austria, EU

  Full Text
ABSTRACT
In this paper the need for a rational treatment of uncertainties in structural mechanics and analysis is reasoned. It is shown that the traditional deterministic conception can be easily extended by applying statistical and probabilistic concepts. The so-called Monte-Carlo simulation procedure is the key for those developments, as it allows the straightforward use of the currently used deterministic analysis procedures. Two numerical examples exemplify the methodology. It is concluded that uncertainty analysis may ensure robust predictions of variability, model verification, safety assessment, etc.

Keywords:  Uncertainty; Monte-Carlo simulation; Finite elements; Response variability; Model verification

* Tel.: + 43 512 507 6840; Fax: + 43 512 507 2905; E-mail: Mechanik@uibk.ac.at