A reduced-order model of mistuned cyclic dynamical systems with finite geometric perturbations using a basis of cyclic modes

M. Mbaye (1, 2) , Christian Soize (1) , J.-P. Ousty (2)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 Turbomeca

A new method for vibration analysis of mistuned bladed disks is presented. The method is built for solving the dynamic problem of cyclic structures with finite geometric perturbations. It is based on the use of the cyclic modes of the different sectors which can be obtained from a usual cyclic symmetry modal analysis. Hence the projection basis is constituted as well as on the whole bladed disk, each sector operator matrix is reduced by its own cyclic modes. The method is validated numerically on an academic bladed disk model, by comparing free responses of a full model finite element analysis to those of a reduced-order model using the above reduction method.

Mots clés: reduced order model; ROM; mistuned cyclic dynamical systems; cyclic elastic modes; bladed disk; modal analysis

Domaines: Mécanique [physics.med-ph]; Vibrations [physics.class-ph]

M. Mbaye, Christian Soize, J.-P. Ousty. A reduced-order model of mistuned cyclic dynamical systems with finite geometric perturbations using a basis of cyclic modes. XIII International Symposium on Dynamic Problems of Mechanics (DINAME 2009), ABCM, Mar 2009, Angra dos Reis, RJ, Brazil. pp.1-9. ⟨hal-00691719⟩