The influence of angular acceleration through critical speeds on amplitudes of whirl of a rotating shaft.

A detailed analysis of the phenomenon of whirling and the application of steady-state theory to transient conditions. The equations of mot ion for a simple rotor system subjected to uniform acceleration are set up and a method of solution demonstrated. These solutions are shown to be applicable to the case of simply supported, accelerating, vertical, slender shafts. The theoretical results are found to be in satisfactory agreement with those obtained experimentally and provide a qualitative guide, not only to the effect of angular acceleration, but also to the relative influences of shaft balance, mass, stiffness, and viscous damping upon amplitudes of whirl