This paper presents a model of a linear roller guide that considers geometric errors in rails. A five degree-of-freedom model of a table supported by linear roller guides with guide rail errors was built to determine table-motion errors during its motion along erroneous rails. The model was verified by comparing the simulated displacements of a linear guide estimated by the proposed model and those by an existing transfer-function method. Two types of geometric errors were considered for the guide rail: general form and waviness errors. The influence of external load, initial preload, and a few important parameters of the rail—such as wavelength and amplitude—on the displacement of the carriage and table were investigated extensively. The simulation results demonstrated the ability of the model to obtain complicated motion errors for moving tables with a number of supporting linear guides subjected to guide errors.

本文提出了一种考虑导轨几何误差的线性滚子导轨模型。建立了带有导轨误差的线性滚子导轨支撑的工作台的五自由度模型，以确定桌子在沿错误导轨运动期间的运动误差。通过比较所提出的模型和现有传递函数方法估算的直线导轨的模拟位移来验证该模型。导轨考虑了两种类型的几何误差：一般形状误差和波纹度误差。广泛研究了外部载荷，初始预载荷以及轨道的一些重要参数（例如波长和振幅）对滑架和工作台位移的影响。