导轨平行度误差对工作台运动误差影响的建模与分析
Influencing Modeling and Analysis of Guide Parallelism Error on Table Motion Error

机床导轨是机床各运动部件相互运动的基准,导轨误差改变了机床各部件的相对位置,破坏了各部件相对运动的准确性,造成了工作台运动误差,最终影响被加工零件的加工精度。研究了直线滚动导轨平行度误差对机床工作台运动误差的影响,根据赫兹接触理论分析了滚珠受力与接触变形的关系,基于齐次坐标变换和最小余能原理定量分析了工作台的运动误差。最后通过算法举例、仿真及计算结果的对比,表明该算法能准确计算出工作台的运动误差。
Machine tool guide is the relative movement datum of each moving parts. Guide error changes the relative positions of the moving parts, resulting in a relative movement error. It will cause the table motion error and finally affects the machining accuracy. The effect of the linear rolling guide parallelism error on the table motion error is studied. According to the Hertz contact theory, we analyze the relationship between the ball bearing and the contact deformation. Then, the table motion error is obtained with the homogeneous coordinate transformation method and the minimum complementary energy principle. Comparing the calculation with simulation results, the algorithm can accurately calculate the table motion error