The paper is motivated by design and maintenance problems of rotating machinery like turbines, compressors, fans, etc. A dynamic analysis is presented concerned with transverse flutter instability and vibration of a flexible rotating shaft supported like a cantilever beam, carrying a thin massive end-disc and subject to concentrated follower load exerted on the disc. The follower load is a consequence of fluid-structure interaction in real turbomachinery. A working medium flow can produce either compressive or a tensile loads, therefore unlike in Beck's problem, the follower load is considered both positive and negative.
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