Abstract
An interesting phenomenon can be observed when the state-space dynamic substructural method is applied to the eigenproblem of bladed disk–shaft systems: whether or not the shaft is flexible, each frequency of the single root-fixed blade appears as a frequency of the whole structure with a multiplicity of at least (n−3), wheren is the number of repetitive blades. The presented result can be regarded as an extension of previous findings by the authors in the sense that the commonly interfaced repetitive substructures are allowed to be treated as a rigid body in modal analysis. The defectiveness issue of the multiple eigenvalues arising from the repetitive substructures is also addressed. Examples of rotary wing models and a simplified turbine model are presented for validation together with attempting their physical explanations.
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