Abstract
A number of theoretical methods are derived in this paper for computing the natural frequencies of whirling vibration of shaft-disk systems including the consideration of rotatory inertia, gyroscopic precession and flexibility of shaft supports, as well as lumped and distributed masses.
Special emphasis is laid on the determination of the natural frequency as a function of the ratio of spin to whirl velocity. Natural frequencies are also expressed in terms of the spin velocity of the shaft. Particular attention is given to methods suitable for numerical evaluation. The methods given here are of special interest in applications to propeller-shaft systems of ships. Difference equations are given which have been used to code the general problem for solution with a UNIVAC computer.
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