Probabilistic Analysis of low Engine Order Excitation due to Geometric Perturbations of Upstream Nozzle Guide Vanes

1F First flap mode αk,l Relation of reference force f 0 k,l to δ0 c j Stiffness perturbation of j-th sector D Ratio of critical damping dl Nodal diameter of mode l ∆ Vector of stagger angle perturbations ∆0 Vector of reference stagger angle perturbations δ0 Amount of reference perturbation δ j Amount of perturbation of j-th vane E(·) Expected value of a random quantity EO Engine order f̃d Complex time dependent modal force vector f̃ 0 d Complex time dependent modal force vector due to reference stagger angle perturbation ∆0 fd Complex vector of modal force amplitudes due to disturbances fm Complex vector of motion induced modal force amplitudes f 0 k,l Complex modal force on mode l due to EO k

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