Forced Vibrations of a Rotor with Rotating Inequality

Abstract

Lateral vibration of a rotating shaft system with a rotating anisotropy is discussed in the present paper. Let the rotating speed of the shaft, the angular velocity of the anisotropy, the natural frequency of the system and the frequency of an external periodic force acting on the system be ω, λω, p and ω₀ respectively. A resonant phenomenon arises when ω₀≒2λω-p as well as when ω₀≒p in such a vibratory system. It can be concluded that forced vibration with the frequency ω₀ or ω'₀(=2λω-ω₀) arises when ω₀≒p or ω₀=p^^-(=2λω-p). Furthermore, a certain vibration the cause of which is relatively hard to under stand can be defined physically by referring to the above conclusion.