Abstract
Cyclic systems have double modes with identical natural frequencies. Using the theory of circulants, independent eigenvectors can be exactly determined without slightly perturbing the eigenvalues. The paper presents the contribution of the double modes to the frequency response functions (FRFs) of cyclic systems with proportional damping. The mode indicator functions UMIF and CoMIF, based on the left singular vectors of a matrix encompassing all available FRFs as columns, are applied to simulated noise-free data. It is shown that they can reveal double modes even using FRFs from single point excitation.
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