doi:10.3850/978-981-08-5118-7_074


Random Set Finite Element Method Application to Tunnelling


A. Nasekhiana and H. F. Schweigerb

Graz University of Technology, Graz, Austria.

aali.nasekhian@tugraz.at
bhelmut.schweiger@tugraz.at

ABSTRACT

A real tunnel project was used to demonstrate the validity of RS-FEM framework in geomechanical problems where engineers have to face not only imprecise data but also lack of information at the beginning of the project. The objective of this paper is to illustrate the RS-FEM approach, which in the authors’ view is an appealing procedure in uncertainty analysis, by means of a real case history validated by in-situ measurements. Furthermore, some advantages and limitations in geotechnical problems are addressed as well as elaborating its procedure, which includes providing set-based input random variables, computing probability assignment of deterministic FE calculations and demonstrating the usage of such a framework in reliability analysis.

Keywords: Uncertainty, Tunnelling, Reliability analysis, Random set theory, Finite element method.



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