考虑保持架间隙碰撞的球轴承-机构系统动力学分析

基于套圈滚道圆环的几何结构方程，建立了钢球和套圈的三维动态接触关系.考虑钢球和保持架的间隙碰撞作用，建立球轴承-曲柄滑块机构系统多体接触动力学模型.运用广义-α方法计算分析了不同转速、径向游隙和保持架兜孔半径间隙下球轴承-机构系统的运动精度和动力学特性，获得球轴承-机构系统的动态误差、套圈中心的相对运动轨迹、保持架中心的运动轨迹和动态作用力等动力学响应.计算结果表明:随着转速和球轴承径向游隙的增加，约束反力、系统动态误差、套圈中心的相对运动轨迹、保持架与套圈中心的相对运动轨迹、球轴承内部的作用力、钢球与保持架的间隙碰撞力均增加.随着保持架兜孔半径间隙的增加，保持架与套圈中心的相对运动轨迹、钢球与保持架的间隙碰撞力和钢球打滑均增加. 

Dynamics analysis on ball bearing-mechanism with clearance and impact of cage

The three-dimensional contact dynamics models were established between balls and rings based on the geometric structural equations of ring races torus. Considering the three-dimensional dynamic models between balls and cage with clearance and impact, the multibody contact dynamics model of ball bearing-crank slider mechanism was constructed. The dynamic responses of ball bearing-mechanism, such as dynamic errors, relative motion trajectories of ring center and cage center, dynamic forces, were obtained. The motion accuracy and dynamics characteristics of ball bearing-mechanism were calculated by generalized-α algorithms under different rotating speeds, radial clearances of ball bearing and pocket guide clearances of cage. The calculated results show that the constraint force, dynamic errors, relative motion trajectories of ring center, cage and ring center, force of ball bearing, impact force between balls and cage all increase with the increasing of rotating speed and radial clearance. The relative motion trajectory between cage and ring, impact force between balls and cage, skidding of balls increase with the increasing of pocket guide clearance of cage.