Based on a rolling bearing-single disc rotor, centrifugal force is generated due to the influence of unbalanced factors such as rotor eccentric excitation, bearing restraint stiffness, and rotating stator clearance, which leads to the imbalance of the rotor system, resulting in the problem of friction between the rotor and the stator. This paper establishes a dynamic model of a single-disk rotor supported by rolling bearings, and the fourth-order Runge-Kutta numerical integration method is used to solve it. Bifurcation behavior and nonlinear dynamic response at a rotational speed. The results show that the nonlinear dynamic characteristics of the system are significantly different due to changes in elliptic eccentricity, rotational speed, and bearing constraint stiffness; when the rotational speed increases, the system gradually appears bifurcation, quasi-periodic motion, and instability increases. Therefore, reasonable selection of the working speed of the rotor and the gap between the stator and the rotor can reduce the non-periodic vibration caused by the unbalanced force and improve the stability of the system operation.
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