High dimensional model representation based formulations for fuzzy finite element analysis of structures

This paper presents a practical approach based on high dimensional model representation (HDMR) for analyzing the response of structures with fuzzy parameters. The proposed methodology involves integrated finite element modeling, HDMR based response surface generation, and both, implicit and explicit fuzzy analysis procedures. The uncertainties in the material, geometric, loading and structural parameters are represented using fuzzy sets. To facilitate efficient computation, a HDMR based response surface generation is employed for the approximation of the fuzzy finite element response quantity.