滚动导轨副的运动误差分析

Motion Error Analysis of a Linear Motion Bearing Table

为研究滚动导轨副几何误差与运动误差之间的映射关系,构建出双导轨四滑块滚动导轨副的运动误差分析模型。通过运动误差分析模型的位姿误差等效方程,将运动部件位姿误差等效为四滑块中滚动体的误差变形。基于赫兹接触理论,建立运动部件的滚动体静力平衡方程,联立求解误差等效方程与静力平衡方程得出滚动导轨副的运动误差。根据运动误差分析模型,分析了导轨几何误差影响下的滚动导轨副运动误差变化规律。最后,建立滚动导轨副的有限元模型。经有限元模型与运动误差分析模型计算结果的对比,验证了文中所建模型的有效性。

An analysis model for motion error of a linear motion bearing table with two rails and four bearing blocks is proposed to research on the relationship between geometrical errors and motion errors. Potion and pose errors of the moving table are mapped into the elastic deformation of rolling elements in the four blocks by using the error equivalent equation of this model. According to the theory of Hertz contact,rolling elements' static force equilibrium equation of the table is established. Motion errors are obtained with combining and solving the error equivalent equation and static force equilibrium equation. Based on this model,the influence of geometrical errors on the motion errors is analyzed. At last,a finite element model of a linear motion bearing table is built. After comparing the results of the analysis model and the finite element model,the analysis model's validity in this article is proved.