Interval and Fuzzy Finite Element Analysis of mechanical structures with uncertain parameters

摘要

This paper uses a non-probabilistic Fuzzy Finite Element Method (FFEM) for the analysis of the dynamic behaviour of structures with uncertain parameters. In two case studies, the concepts of the interval and the fuzzy finite element frequency response function analysis are illustrated for different types of uncertainties, for undamped as well as for damped structures. The comparison of the obtained results with the results of Monte Carlo Simulations proves that the FFEM gives a good and reliable approximation of the dynamic behaviour of uncertain structures. The method is capable of handling large uncertainty intervals, and does not need assumptions on the statistical distribution of the uncertain model parameters.