Uncertain rotating dynamical systems with cyclic geometry

The aim of this paper is to propose probabilistic methodologies for the dynamic analysis of the mistuning of rotating bladed-disks with cyclic symmetry in the low frequency range. A recent nonparametric probabilistic model of random uncertainties is used for modeling the random uncertainties in the context of the blade mistuning. An inverse probabilistic approach, based on the identification of the dispersion parameters controlling the nonparametric probability model with respect to the blade tolerances is constructed in order to define the blade geometric tolerances yielding a given probability level of the dynamic amplification of the forced response. A numerical application is presented in details.