Gyroscopic Effects on the Critical Speeds of Flexible Rotors

The forces and moments on rotating disks are found for the general case, and the various possible criticals of common rotor systems are determined and plotted for all degrees of gyroscopic effect. Specific examples are shown of a cantilever system, two simply supported single-disk systems, a double-disk system, and an infinite-disk system. Methods of solution are indicated for any case. The gyroscopic effect is shown for all possible ratios of shaft rotating frequency to whirl frequency.