Abstract
A new generalized dynamic model of the rotor system has been developed, which considers the interconnected oscillations within the “rotor - weakly conductive fluid - foundation” system. This model incorporates various factors, including linear eccentricity, movements of the fluid and rotor, frictional forces, base vibrations, rolling bearings and their nonlinear properties, and the magnetic field's influence on the fluid. The motion equations for this system were formulated and solved analytically. The analysis of the system's oscillations revealed key features of its dynamics. The frequencies and amplitudes, which significantly influence the system's dynamic behavior, were investigated, and determined.