On the Rationale for Treating Uncertainties in Structural Analysis

In this presentation the characteristics of parameters such as loading conditions, geometrical and material properties as used for structural analysis and design are discussed. Stochastic models are shown to be most suitable for their rational representation. In particular the aspect of uncertainties and their consequences are treated. The suggested approach which combines the FE method with Monte Carlo Simulation (MCS) procedures leads to a better understanding of the structural system behavior as well as to the possibility of quantifying the structural reliability. Numerical applications addressing issues such as stochastic finite elements, random eigenvalues as well as reliability of engineering structures exemplify the concept. ___________________________________________________________________________ Gerhart I. Schueller