Abstract
Aiming at the analysis of the dynamic characteristics of the rotor system supported by deep groove ball bearings, the dynamic model of the double-disk rotor system supported by deep groove ball bearings was established. In this paper, the nonlinear finite element method is used combined with the structural characteristics of deep groove ball bearings. Based on the nonlinear Hertz contact theory, the mechanical model of deep groove ball bearings is obtained. The excitation response results of the rotor system nodes are solved by using the Newmark-β numerical solution method combined with the Newton–Raphson iterative method. The vibration characteristics of the rotor system supported by deep groove ball bearings are studied deeply. In addition, the effect of varying compliance vibration (VC vibration) caused by the change in bearing support stiffness on the dynamics of the system is considered. The time domain and frequency domain characteristics of the rotor system at different speeds, as well as the influence of bearing clearance and bearing inner ring’s acceleration on the dynamics of the rotor system are analyzed. The research shows that the VC vibration of the bearing has a great influence on the motion of the rotor system when the rotational speed is low. Moreover, reasonable control of bearing clearance can reduce the mutual impact between the bearing rolling element and the inner or outer rings of the bearing and reduce the influence of unstable bearing motion on the vibration characteristics of the rotor system. The results can provide theoretical basis for the subsequent study of the nonlinear vibration characteristics of the deep groove ball bearing rotor system.
Highlights
Rolling bearing rotor system is the core of large rotating machinery, and it is widely used in electricity, chemicals, aviation and ships, and other important industries. e stiffness of the rolling bearing has strong time-varying characteristics and nonlinear characteristics under complex operating conditions such as variable load, which is usually the main source of nonlinearity of rolling bearing rotor system [1]
In the bearing rotor model of a rotating machine, the bearing seat that supports the circular motion of the rotor is always simplified to a rigid body, and the bearing can be simplified as a parallel combination of spring and damper. en, the dynamic behavior of the rotor system is studied by solving the differential equations of the system [2, 3]
For the double-disk rotor system supported by the deep groove ball, it is possible to reduce the stable in uence of the nonlinear motion characteristic caused by the VC vibration by passing through the low speed zone rapidly
Summary
Rolling bearing rotor system is the core of large rotating machinery, and it is widely used in electricity, chemicals, aviation and ships, and other important industries. e stiffness of the rolling bearing has strong time-varying characteristics and nonlinear characteristics under complex operating conditions such as variable load, which is usually the main source of nonlinearity of rolling bearing rotor system [1]. Deep groove ball bearing is one of the most widely used traditional shaft support parts, so it is of great significance to study its influence on the shaft system’s dynamic characteristics. El-Saeidy [10] established a stiffness matrix model of 5-DOF rigid spindle rotor angular contact ball bearing to study the time-varying stiffness. 2. Rotor System Dynamics Model e double-disk rotor system supported by deep groove ball bearings has 16 nodes, divided into 15 shaft segments. The outer ring of the deep groove ball bearing is fixed on the bearing seat, and the inner ring is fixed on the rotating shaft. Ω is the rotor rotation speed, and ωVC is the passing frequency of the bearing rolling element, δj x cos θj + y sin θj − r0 > 0.
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