This article presents an analysis of vibration evolution of a ball bearing without the cage.
A vibration model in which time-varying displacement, time-varying stiffness, contact force
and collision force are comprehensively considered, is proposed. On this basis, the law of
motion of the bearing is studied. It is shown that a variable-diameter raceway affects the
radius of curvature, which effects the dispersion of rolling elements. The damaged variable-
-diameter raceway leads to discrete failure, contact force and collision force of rolling elements,
which are main reasons that cause vibration mutation. The bearing motion changes
from quasi-periodic to chaotic motion.
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