NON-LINEAR OSCILLATIONS OF THE ROTOR ON BALL BEARINGS AT THE GIVEN VIBRATION OF THE BASIS

S.V. Filipkovsky

The model of rotor oscillations on two nonlinear ball bearings is obtained. Gyroscopic moments of a disk, nonlinear elasticity and a damping of ball-bearings are taken into account. Numerical iterative methods are applied for the analysis of the obtained system. Amplitude-frequency characteristics of a rotor and the instability regions of periodic duties are investigated at simultaneous act of the disk unbalance and the kinematic excitation by the given vibration of support. Near to a resonance of lateral oscillations the rotor has a drooping characteristic, and near to a resonance of longitudinal oscillations - a flat characteristic.

Key words: rotor, ball-bearings, damping, unbalance, the kinematic excitation of oscillations, amplitude-frequency characteristic.