Nonlinear dynamics of the heavy gyro-rotor with two skew rotating axes

Abstract

The rotors are the basic working parts in many machines so that the problem of rotor vibration has existed for a long time. In this paper the rotor is analyzed as a shaft-disc system. The disc is eccentric and shaft is supported on both sides with rigid bearings. Here we present special case when the support shaft is vertical and the rotor shaft is horizontal but they are without intersection. A system of nonlinear differential equations is determined. When the angular velocity of shaft axis is constant, the motion character analysis is performed by means of phase trajectories and that is done for different cases of eccentricity and angle of skew. Some numerical analysis of obtained analytical solutions is performed through Math Cad.