Optimum Design of a Circular Shaft in Forward Precession
In the present paper we consider a rotating, balanced, non-uniform, circular shaft supported by a rigid bearing at one end and carrying a disc of given geometry at the other, and aim at optimizing its shape such that the first fundamental frequency of lateral vibrations attains the highest possible value for a given volume, length and material of the shaft. The shaft is assumed to be perfectly balanced and no attempt is made to study the influence of factors such as bearing anisotropy, damping, etc.
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