Taking the bearing with elastic support as the object of study

nonlinear dynamics differential equation for the two-piece inner ring of angular contact ball bearing with elastic support

which coupled the outer ring and housing

was established.Fine integral method and predict-correct Adams-Bashforth-Moulton multi-step method were used to solve the nonlinear dynamic equations

and the vibration characteristics of two-piece inner ring of angular contact ball bearing with elastic support were analyzed and discussed.The analysis results show: (1) Magnitude of inner vibration can be significantly decreased from increasing the number of the groove joint.The thickness of the sleeve has small effect on inner vibration

and with the increase of the thickness

the amplitude value of the inner decreases first and then increases. (2) When the axial load has a small value

it is more helpful for decreasing the magnitude of bearing vibration when increasing the number of the groove joint.On the contrary

under the heavy axial load

it is beneficial for the stabilization of bearing when reducing the number of the groove joint. (3) There is a reasonable number of groove joints and thickness of sleeve for elastic support to obtain the minimum radial vibration amplitude of the bearing.