Abstract

Cage stability directly affects the dynamic performance of rolling bearing, which, in turn, affects the operating state of rotating equipment. The random collision between the rolling elements and the cage pocket is the main reason for cage instability. In this paper, from the perspective of the relative sliding velocity between the rolling elements and the bearing raceway, the interactions of the rolling elements and the cage pockets were analyzed, and the four zones with different collision features were defined. On this basis, and on the basis of the bearing dynamics model, the interaction of two adjacent rolling elements and the cage pockets in the a’–b’ area is discussed, and the peak impact force of the adjacent two balls and the cage pockets was investigated in terms of the rotation speed, radial load, acceleration/deceleration, and materials. When the ball runs close to the loaded zone, the probability of multiball random collision increases, which leads to an increase in the cage instability. At the entrance of the loaded zone, the peak impact force has the greatest impact on the cage stability during the acceleration process. Compared to the radial load applied to the bearing, the peak impact force is more sensitive to the bearing speed changes. The multiball collision analysis method provides a new idea for the research of cage stability.

Highlights

  • Condition of Multiball–Cage Collision.Rolling bearing has been widely applied to high-speed rotating systems, such as aeroengines, high-speed precision spindles, etc

  • For the collision of the two rolling elements, the cage rotation was divided into four stages, in which the peak impact force has an important influence on the Lubricants 2022, 10, 9 cage stability when the ball enters the loaded zone

  • The motions of the rolling elements, cage, and inner ring are limited to the radial plane of the bearing, without considering the axial movement; The contact between the rolling elements and the other parts satisfies the Hertz contact theory without considering plastic deformation; All parts are treated as rigid bodies, and the center of mass coincides with the centroid during service; The center of the outer ring coincides with the bearing center, which is the coordinate origin; A spring model is set between the rolling element and the cage pocket [19], and the inner ring rotational acceleration is always constant (100 rad/s2 ); Only one rotational degree of freedom of the cage is considered

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Summary

Introduction

The current work mainly analyzed the impact factors on the cage stability, while a further discussion on the cage instability mechanism is lacking The reason for this is that the turbulent collision between the rolling elements and the cage pocket presents a certain degree of complexity and randomness, due to the change in the relative velocity between the rolling elements and the raceway. For the collision of the two rolling elements, the cage rotation was divided into four stages, in which the peak impact force has an important influence on the Lubricants 2022, 10, 9 cage stability when the ball enters the loaded zone. Taking the peak impact force near the entrance of the loaded zone as the object, the influence of the operating parameters on the cage instability, such as the rotational speed, radial load, acceleration and deceleration, and the material of the rolling elements, were all analyzed

Bearing Dynamic Model
Interaction Force between Bearing Components
The Force between the Rolling Elements and the Rings
The Force between the Rolling Elements and the Cage
Mechanical Equilibrium Equations
Model Solution and Verification
Collision Characteristics between the Ball and the Cage
Interaction of a Single Ball and the Cage Pocket
Impact Force between Two Balls and the Cage
Influencing Factors Analysis
Radial Load and Rotational Speed
Inner Ring Speed Acceleration
Inner Ring Speed Deceleration
The Different Ball Material
Findings
Conclusions
Full Text
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