Abstract

Rotational systems are often required to maintain steady angular motion with slow velocities. Under these circumstances, sustained torsional oscillations (self-excited) may easily occur, basically caused by the fact that the static coefficient of friction is appreciably higher than the kinetic coefficient of friction. Such oscillations are in-tolerable in a system requiring steady motion. An analytical solution of the system of Fig. 3 is given, which is then put into an analog computer, giving numerical results shown in Figs. 8(a) to 8(f) for various shaft sizes and friction coefficients. It has been possible to assemble all this information in a single dimensionless diagram Fig. 9 which shows the minimum unstable rotational speed of Fig. 8 for values of flywheel inertia, shaft stiffness, friction coefficients and internal damping. It is believed that Fig. 9 will be found useful in the design of slowly rotating shaft systems.

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