Frequency response function of a multispan beam with uncertain parameters

The study of mechanical systems with uncertain parameters is always more considered in the analysis and in the design of structures. An adequate description of these uncertainties is necessary to provide a good forecasting model. In order to characterize these uncertainties the probability theory's tools are in general used by considering stochastic perturbation of the structure parameters. Recently many authors studied these phenomena also by the fuzzy arithmetic tools. Aim of this paper is the study of a pinned-pinned multispan beam frequency response function (FRF) if the stiffness of the intermediate supports are uncertain. A perturbation technique is used to give a linear relationship between the FRF and the perturbed parameters.