Self-excited Vibration of a Rotor Filled with Liquid : 2nd Report, Complex Eigenvalue Analysis

Abstract

A stability analysis for a uniform elastic rotor filled with incompressible, inviscid liquid is presented. The authors consider small dynamic perturbations in the asynchronous whirling of the coupled fluid-structure system. A complex eigenvalue problem is derived for the natural whirling modes in order to discuss the rotor stability criteria. As a result, the theoretical predictions show fairly good agreements with experimental results. The effects of the length-diameter ratio of the rotor on the stability criteria are also discussed on the basis of the natural modes of the liquid.