Bifurcation and Chaos in a Rub-Impact Jeffcott Rotor System

Stability and Non-Linear Responses of a Rotor-Bearing System With Pedestal Looseness

“…There have been several methods for determining the periodic response of the non-linear rotor systems, including the series expansion [4] and the harmonic balance method as used in references [5,6]. However, for a multi-degree of freedom, these methods often su!er the problem of convergence to some extent when iteration is performed.…”

Transient Torsional and Lateral Vibrations of Unbalanced Rotors With Rotor-to-Stator Rubbing

“…The system has shown orderly harmonic, sub-harmonic and chaotic responses. Recently, Chu and Zhang [7] reported results of their study on the non-linear vibration characteristics of a rub-impact of Jefcott rotor. Their model is two-dimensional with Beatty's [1] impact-contact model.…”

Chaos and Bifurcation in Nonlinear Inextensional Rotating Shafts

“…In one of early experiments in chaotic motion of rotor systems, Ehrich [2] observed period doubling routes to chaos in a rotor with dead-band nonlinearity. Up to now, many studies has been carried out in study of chaotic vibration in rotor-dynamics; for example chaotic responses due to rub-impacts in rotors has been studied in references [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]; the chaotic dynamics of rotors due to effects of bearing has been investigated in papers [18][19][20][21][22][23][24][25]. Most of these papers treated the rotor with strong nonlinearity.…”