A dual-layer dimension-wise fuzzy finite element method (DwFFEM) for the structural-acoustic analysis with epistemic uncertainties

Abstract

Abstract Epistemic uncertainty quantification in the structural-acoustic analysis was performed by a dimension-wise analysis fuzzy finite element method in this paper. This novel procedure was formulated in a dual-layer framework, i.e. a fundamental layer at zero-cut and filtrating layer at any nonzero-cut. The first layer was to identify the minimal and maximal (min/max) points of each slice of the response surface at zero-cut while the seconder layer was to filtrate slice’s min/max points at any nonzero-cut. Subsequently, the min/max input vectors at any alpha-cut were dimension-wisely assembled at which the interval response of the coupled system was obtained by two crisp finite element analysis. The membership function of the fuzzy response was finally recomposed by intervals at discrete alpha-cuts. Besides, important corrections of current high-order interval perturbation methods were simultaneously made in this paper. The proposed method applies to any analysis procedure to quantify epistemic uncertainties of outputs due to its nonintrusive property. Accuracy and efficiency of the proposed method were validated by numerical examples.