Abstract
In rotor systems, if the gyroscopic moment is small, a forward natural frequency and a backward natural frequency almost satisfy a condition of 1 : (-1) internal resonance. In such systems, the critical speeds of the forward and the backward subharmonic resonances of order 1/2 and the combination resonance are close in the vicinity of twice the major critical speed and internal resonance phenomena may appear. This study clarifies dynamical characteristics of nonlinear phenomena due to internal resonance, such as steady-state oscillations, almost periodic motions, bifurcation phenomena, and two kinds of chaotic vibrations, at the rotational speed of twice the major critical speed.
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