Abstract
This paper presents the dynamic differential equations of cylindrical roller bearing, considering the dynamic unbalance mass of roller and the contact between the roller end face and the inner ring rib. The influence of bearing working condition and structural parameters on the P V value of roller end face and the slip speed of roller working surface were analysed. The theoretical analysis and experimental results both show that the large amount of roller’s dynamic unbalance mass due to the difference in chamfering size on both sides of the roller and the deviation of the bearing axial clearance are the main causes of abnormal wear on the roller working surface and end face.
Highlights
To accurately describe the motion state of each component of cylindrical roller bearing and the interaction relationship between the components, the coordinate systems of cylindrical roller bearing are shown in Figure 2. e coordinate systems include the following: (1) Inertial Coordinate System (O; X, Y, Z). e origin O is located in the geometric centre of outer ring, the Xaxis coincides with outer ring axis, and the YOZ plane is parallel to the radial plane of outer ring. e outer ring is fixed during the operation of bearing; that is, the inertial coordinate system is fixed in space
(2) Inner Ring Centroid Coordinate System. e origin oi coincides with inner ring centroid, the xi axis is parallel to the inertial coordinate system Xaxis, the yioizi plane is parallel to the radial plane of ypj zpj yrj opj xpj Roller yrrj xrj orj zrj yi orrj xrrj oi xi O
Meθj Meθj cos sin φj, φj, j where mi is the mass of the inner ring; y€i and z€i are the displacement accelerations of the inner ring mass centre in the inertial coordinate system; Jix,Jiy, and Jiz are the rotational inertias of the inner ring in the inertial coordinate system; ω_ix, ω_iy, and ω_iz are the angular accelerations of the inner ring in the inertial coordinate system; Fr is the radial load; and Gi is the gravity of inner ring
Summary
Where mc is the mass of cage; y€c and z€c are the displacement accelerations of the cage’s mass centre in the inertial coordinate system; Jcx, Jcy, and Jcz are the rotational inertias of cage in the inertial coordinate system; ω_ cx, ω_ cy, and ω_ cz are the angular accelerations of the cage in the inertial coordinate system; Gc is the gravity of cage; and RNis the number of rollers
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