The Dynamical Response of an Overhung, Unbalance, Skewed Rotor on Two Flexible Supports

There is available a great deal of literature providing analytical solutions for the unbalanced response of simple, flexible rotor-bearing systems. The majority of these reports consider a rotor that spins and processes equidistant from two bearings. In this fashion gyroscopic effects can usually be neglected. For the same reason, most reports examine only the effects due to a mass eccentricity, and do not admit an unbalance moment caused by a disk skewed with respect to its shaft.

Thus it was desired to provide an analytical solution for the unbalanced response of a rotor spinning outboard of two bearings- In addition, an unbalance force, due to a mass eccentricity, and an unbalance moment, due to a skewed disk, would be admitted.

Several authors had addressed themselves to just such a rotor-bearing System, however, none, to this author's knowledge, had included. the effects of flexible bearings. Consequently, the title of this thesis was chosen: "The Dynamical Response of an Overhung, Unbalanced, Skewed Rotor on Two Flexible Supports."

To be presented within are: the derivation of the dynamical equations of motion, solutions for and analysis of the critical frequencies, and, solutions for and analysis of the steady state motion.