Structural Analysis with Spatial Varying Polymorphic Uncertain Parameters-Fuzzy Fields Using Spectral Secomposition

摘要

Polymorphic uncertainty means the simultaneous consideration of aleatoric and epistemic uncertainty characteristics by one uncertainty model.This combination is necessary for a realistic uncertainty modelling within a structural analysis.The numerical treatment can be based on sequential reduction of uncertainty, which yields to staggered algorithms.The fundamental models are either fuzziness or randomness.The consideration of spatial varying parameters needs to be done for the fundamental models.For randomness well-known models can be used, but for fuzziness a new approach is presented.The approach is based on spectral decomposition of geometric quantities and will be introduced in this contribution.The applicability is shown by two examples.