Chaotic Vibration and Internal Resonance Phenomena in Rotor Systems (In the Vicinity of the Major Critical Speed)

摘要

In rotor systems, if the gyroscopic moment is small, the forward natural frequency and the backward natural frequency almost satisfy a condition of 1: (-1) internal resonance. In such systems, the critical speed of a backward harmonic oscillation and that of a supercombination oscillation are near from the major critical speed. This study clarifies dynamical characteristics of nonlinear phenomena, including steady-state oscillations, almost periodic motions, bifurcate phenom- ena, and chaotic vibrations, due to the internal resonance at the major critical speed.