Considering the dynamic contact relationship between balls

rings and cage

a new method was brought out for multibody dynamics analysis of ball bearings in mechanical systems.The searching algorithm for prediction of dynamic contact force was carried out based on the triangle mesh models of ring races.The three dimensional multibody contact dynamics model of angular contact ball bearing was constructed with lubrication and Hertz contact and calculated by generalized-α algorithms under axial preload and rotated radial load.The results of dynamic contact force

trajectory of motion

phase diagram and frequencies were achieved and verified by the Gupta classical model.The angular acceleration and ratio of revolution to rolling of a ball were periodic varying with amplitude 184.5 rad/s-2 and 0.01 respectively under light load and middle speed.The harmonic frequencies of angular acceleration and dynamic contact force were similar such as 56.1Hz and 112.2Hz.The vibration of cage center was quasi-periodic with two frequencies 83.3Hz and 200Hz under middle load and high speed.