The paper is concerned with a new approach to the stability behaviour of a rotating composite shaft with two supports and massive disc at the end using dynamic eigenvalues and eigenform for bifurcation analysis. The shaft subjected to tip-concentrated axial follower load and discussion is focused on the influence of gyroscopic effect on the critical rotation speed and post-critical behaviour of the system. Dynamic base functions are applied in Galerkin's discretization procedure. Two mechanisms of flutter instability exhibited by the system are studied and explained for prospective applications in industrial machinery like compressors, pumps and turbines.
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