This paper presents a method to develop reduced-order models of bladed disks with geometric mistuning, which is based on polynomial choas approximation of modes of random eigenvalue subproblems. This method allows to reduce mass and stiffness matrices without evaluating the deviation in these matrices due to mistuning.
The paper presents a polynomial chaos approach for direct appoximation of cyclic modes of a tuned bladed rotor with all blades having the same randomly modified geometry. In order to validate this approach, accuracy of the approximation is evaluated for a simple rotor and is compared with other approximation methods, where eigenfrequencies and eigenvectors are obtained using polynomial approximation of structural matrices. The results show the good accuracy of the polynomial chaos approach.
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